Theo has $5 more than denise and denise has $11 more than rudy . Together , they have $45. How much money does denise have?

Answers

Answer 1
if Rudy has $6, then Denise has $17, and Theo has $22, which equals $45
Answer 2
T = Theo D = Denise and R = Rudy
Theo has $5 more than Denise T = D + 5
Denise has $11 more than Rudy D = R + 11
Together they have $45 T + D + R = 45

From the information given we have 3 equations. We know the relationship between the variable so we can use substitution and solve.
we need to find D. let rewrite T and R in terms of D then put in the 3rd equation we will have one equation in one variable and we can solve.

T + D + R= 45
(D+ 5) +( D)+ (D - 11) = 45
3D -6 = 45
3D = 51
D = 17

Denise has $17

Related Questions


PLEASE HELP WILL GIVE BRAINLIEST


Which of the sets of ordered pairs represents a function?

A = {(–5, 5), (–2, 2), (2, –2), (5, –5)}

B = {(4, 2), (3, –2), (9, 4), (11, –3)}


Only A

Only B

Both A and B

Neither A nor B

Answers

Answer:

The answer would be, both A. and B.

Answer:

both a and b

Step-by-step explanation:

what is the nth term of 2,5,8,11,14

Answers

Answer:

f(n) = 2 + 3(n-1)

Step-by-step explanation:

Answer:

f(n) = 2 + 3(n-1)

Step-by-step explanation:

Write the slope-intercept form of the equation of each line.​

Answers

Answer:

[tex]\large\boxed{y=-\dfrac{7}{3}x+4}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept (0, b)

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points:

(0, 4) → b = 4

and (3, -3)

Substitute:

[tex]m=\dfrac{-3-4}{3-0}=\dfrac{-7}{3}\\\\y=-\dfrac{7}{3}x+4[/tex]

What is -2^2? I've been getting mixed results from people against calculators.

Answers

Answer:

-4

Step-by-step explanation:

Technically, the negative sign is treated as multiplying by -1, which is then separate from the 2.  This equation can also be rewritten as [tex]-1 * 2^2[/tex], which would be simplified to [tex]-1 * 4[/tex] and then [tex]-4[/tex].

It depends on how the parenthesis is like. -(2)^2 will equal -4 while (-2)^2 equals 4. But the answer will most likely be 4 because they tend to make sure to put parenthesis if they want the answer to be -4. (Calculators are programmed differently which is why you're getting mixed answers.)

When Steve woke up. His temperature was 102 degrees F. Two hours later it was 3 degrees lower. What was his temperature then?

Answers

Answer:

if it was 102 when he woke

e up and lowered then it will be 99 degree fahrenheit then

Final answer:

Steve's temperature decreased by 3 degrees from the original 102 degrees F, which means his temperature two hours later was 99 degrees F.

Explanation:

The student's question involves a basic mathematical operation, specifically subtraction, used to determine a change in temperature over time. Steve originally has a temperature of 102 degrees Fahrenheit. After two hours, his temperature has decreased by 3 degrees.

To find the new temperature, we subtract the decrease from the original:
102 degrees F - 3 degrees F = 99 degrees F.

So, Steve's temperature two hours later would be 99 degrees Fahrenheit.

Please someone help me

Answers

Answer:

The correct answer option is D. 5.

Step-by-step explanation:

We are given the following expression where 4 is to be divided by a fraction 1/5:

[tex] 4 [/tex] ÷ [tex]\frac{1}{5}[/tex]

This can also be written as:

[tex]\frac{4}{\frac{1}{5} }[/tex]

Now to find the quotient of this, we will take the reciprocal of the fraction in the denominator to change it into multiplication.

[tex]4 \times \frac{5}{1}[/tex]

Therefore, ignoring the 1 in denominator, we can simply multiply 4 by 5.

Answer:

Hi there!

The answer is last one: 5

Step-by-step explanation:

When ever you are dividing a number by a fraction you always flip the fraction and multiply it, another way of saying it is multiplying by its reciprocal.

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each division expression with the correct quotient.







Answers

Answer:

[tex]\frac{16x^2+48x}{8x} = 2x+6\\\frac{56x^2-14x}{7x} = 8x-2\\\frac{18x^2+15x}{3x}=6x+5\\\frac{20x^2-32x}{4x}=5x-8[/tex]

Step-by-step explanation:

We will solve the division one by one:

[tex]\frac{16x^2+48x}{8x} = \frac{8x(2x+6)}{8x} = 2x+6\\\frac{56x^2-14x}{7x}=\frac{7x(8x+2)}{7x}=8x+2\\\frac{18x^2+15x}{3x} =\frac{3x(6x+5)}{3x} = 6x+5\\\frac{20x^2-32x}{4x}=\frac{4x(5x-8)}{4x}=5x-8[/tex]

Answer with explanation:

a)

[tex]\dfrac{16x^2+48x}{8x}[/tex]

Since, both the terms in the numerator have a common factor as: 8x.

Hence, we take out common 8x from the numerator term and hence it could be written as:

[tex]\dfrac{8x(2x+6)}{8x}[/tex]

i.e.

[tex]=2x+6[/tex]

b)

[tex]\dfrac{56x^2-14x}{7x}[/tex]

Since, both the terms in the numerator have a common factor as: 14x.

Hence, we take out common 14x from the numerator term and hence it could be written as:

[tex]=\dfrac{14x(4x-1)}{7x}\\\\=2(4x-1)\\\\=8x-2[/tex]

c)

[tex]\dfrac{(18x^2+15x)}{3x}[/tex]

Since, both the terms in the numerator have a common factor as: 3x.

Hence, we take out common 3x from the numerator term and hence it could be written as:

[tex]=\dfrac{3x(6x+5)}{3x}\\\\=6x+5[/tex]

d)

[tex]\dfrac{20x^2-32x}{4x}[/tex]

Since, both the terms in the numerator have a common factor as: 4x.

Hence, we take out common 4x from the numerator term and hence it could be written as:

[tex]=\dfrac{4x(5x-8)}{4x}\\\\=5x-8[/tex]

División de polinomios(a²+3a+2)÷(a+1)

Answers

Answer:

a + 2

Step-by-step explanation:

Given

[tex]\frac{a^2+3a+2}{a+1}[/tex] ← factor the numerator

= [tex]\frac{(a+1)(a+2)}{a+1}[/tex]

Cancel the factor (a + 1) on the numerator/denominator

= a + 2 ← quotient

The points obtained by students of a class in a test are normally distributed with a mean of 60 points and a standard deviation of 5 points. About what percent of students have scored between 60 and 65 points?

Answers

Answer: The percent of students have scored between 60 and 65 points is 34.13%

Step-by-step explanation:

Given : The points obtained by students of a class in a test are normally distributed with a mean of 60 points and a standard deviation of 5 points.

i.e. [tex]\mu=60\ \ \ \sigma=5[/tex]

Let x denotes the points obtained by students of a class in a test .

Now , the probability that the students have scored between 60 and 65 points :-

[tex]P(60<x<65)=P(\dfrac{60-60}{5}<\dfrac{x-\mu}{\sigma}<\dfrac{65-60}{5})\\\\= P(0<z<1)\ \ \ [\because z=\dfrac{x-\mu}{\sigma}]\\\\= P(z<1)-P(z<0.5)\ \ \ [\because\ P(z_1<Z<z_2)=P(Z<z_2)-P(Z<z_1)]\\\\=0.8413-0.5=0.3413[/tex]

[tex]=34.13\%[/tex]

Hence, the percent of students have scored between 60 and 65 points is 34.13%.


Use the parabola tool to graph the quadratic function
f(x)=(x−2)(x−6)
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

Answers

Answer:

What parabola tool?

Step-by-step explanation:

I went ahead and graphed the quadratic function however, you should learn how to graph it yourself the way they are asking you to using the "parabola tool", because I cant really show you my steps in graphing it since I don't know what your parabola tool is.

Sorry

Crystal earns $5.25 per hour mowing lawns. Write a rule to describe how the amount of money m earned is a function of the number of hours h spent mowing lawns. How much does Crystal earn if she works 2 hours and 15 minutes? m(h) = 5.25h; $11.29 ; $0.43 m(h) = 5.25h; $11.81 m(h) = 2h + 15; $25.50

Answers

Answer:

m(h) = 5.25h

$11.81 for 2 hours and 15 minutes

Step-by-step explanation:

Convert 2 hours and 15 minutes to an hour decimal: 2.25 hoursSubstitute 2.25 in for h.Multiply: (5.25)(2.25) = $11.81

Explain why there can be no infinite geometric series with a first term of 12 and a sum of 5.

Answers

Answer:

Step-by-step explanation:

When you find the sum of a number you are adding two or more numbers together. therefore the only answer that you could use to get a sum of 5 when your first term is 12 would be -7

Which graph shows a dilation?

Answers

Answer:

A

Explanation:

In image A the image becomes smaller but doesn't change shape which is what dilation is supposed to be.

Answer:

Option A

Step-by-step explanation:

What is the equation of the line parallel to 3x+2y= -4 that goes through the point (4,-1)

Answers

Answer:

2y + 3x = 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3x + 2y = - 4 into this form

Subtract 3x from both sides

2y = - 3x - 4 ( divide all terms by 2 )

y = - [tex]\frac{3}{2}[/tex] x - 2 ← in slope- intercept form

with slope m = - [tex]\frac{3}{2}[/tex]

• Parallel lines have equal slopes, thus

y = - [tex]\frac{3}{2}[/tex] x + c ← partial equation of parallel line

To find c substitute (4, - 1) into the partial equation

- 1 = - 6 + c ⇒ c = - 1 + 6 = 5

y = - [tex]\frac{3}{2}[/tex] x + 5 ← in slope- intercept form

Multiply through by 2

2y = - 3x + 10 ( add 3x to both sides )

3x + 2y = 10 ← in standard form

The equation of the line parallel to 3x+2y= -4 goes through the point (4,-1).

3x + 2y = 10 ← in standard form.y = -  x + 5 ← in slope- intercept formEquation of line

The general equation of a straight line exists y = mx + c, where m is the gradient, and y = c exists the value where the line cuts the y-axis. This number c is named the intercept on the y-axis. The equation of a straight line with gradient m and intercept c on the y-axis stands y = mx + c.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3x + 2y = - 4 into this form

Subtract 3x from both sides

2y = - 3x - 4 ( divide all terms by 2 )

y = -  x - 2 ← in slope- intercept form

with slope m = -

• Parallel lines have equal slopes, thus

y = -  x + c ← partial equation of parallel line

To find c substitute (4, - 1) into the partial equation

- 1 = - 6 + c ⇒ c = - 1 + 6 = 5

y = -  x + 5 ← in slope- intercept form

Multiply through by 2

2y = - 3x + 10 ( add 3x to both sides )

3x + 2y = 10 ← in standard form.

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Which equation can be solved using the expression -3 plus or minus the square root of (3)^2+4(10)(2)/2(10) for x?
A. 10x^2=3x+2
B. 2=3x+10x^2
C. 3x=10x^2-2
D. 10x^2+2=-3x

Answers

Answer: B. 2=3x+10x^2

Step-by-step explanation:

The expression means the quadratic function equation.

B = 10x^2 + 3x -2 = 0

the equation is [-b ±√(b^2 -4ac)]/2a

b should be +3 to become -3 when it is plugged into the equation, and 'a' should be 10, and c should be -2.

Answer:B

Step-by-step explanation:

Ye you know me keep it a buck like 123 ye 2022 baby

What are the values of a, b, and c in the quadratic equation 0 =
x2 – 3x - 2?
a = 1, b = 3, c = 2
a=, b = -3,C=-2
a = 1, b = 3, c= 2
a = 1.0= -3, c = 2

Answers

Answer:

a=1, b = -3, c=-2

Step-by-step explanation:

The quadratic equation is in the form

a[tex]x^{2}[/tex] + bx +c = 0

Using the given equation

1[tex]x^{2}[/tex] -3x -2 = 0

We can see that

a=1  b=-3  c=-2

Which of the following is the result of flipping the graph of the function shown
below over the line y - x?

Answers

Answer:

See attachment

Step-by-step explanation:

When the graph of the given function is flipped over the line [tex]y=x[/tex], the coordinates will swap.

The mapping for a reflection in the line [tex]y=x[/tex] is [tex](x,y)\to(y,x)[/tex].

We can observe that one portion of the graph is in the first quadrant [tex](x,y)[/tex]. When we flip this part we will get [tex](y,x)[/tex], which is still in the first quadrant.

Also, when we flip the portion of the graph in the second quadrant (-x,y), we will obtain (y,-x), which is standing for all coordinates in the fourth quadrant.

The image is shown in the attachment.

What are the answers plzzz someone help me

Answers

What is the problem?
They might help a little bit

What is the difference of the rational expressions below?
X+5/x^2-2/5x

Answers

Answer:

[tex]\large\boxed{\dfrac{x+5}{x^2}-\dfrac{2}{5x}=\dfrac{3x+25}{5x^2}}[/tex]

Step-by-step explanation:

[tex]\dfrac{x+5}{x^2}-\dfrac{2}{5x}=\dfrac{5(x+5)}{5x^2}-\dfrac{2x}{5x^2}\qquad\text{use the distributive property}\\\\=\dfrac{5x+25}{5x^2}-\dfrac{2x}{5x^2}=\dfrac{5x+25-2x}{5x^2}=\dfrac{3x+25}{5x^2}[/tex]

The difference between the rational expressions below will be,[tex]\frac{3x+25}{5x^2}[/tex]

What is an arithmetic operation?

Arithmetic is an area of mathematics involving the study of numbers and the different operations that can be performed on them.

The difference in the rational expression is found as;

[tex]=\frac{x+5}{x^2} -\frac{2}{5x} \\\\=\frac{5(x+5)}{x^2} - \frac{2x}{5x^2} \\\\\ = \frac{5x+25}{5x^2} -\frac{2x}{5x^2 }\\\\\ = \frac{5x+25-2x}{5x^2} \\\\ = \frac{3x+25}{5x^2}[/tex]

The difference between the rational expressions below will be,[tex]\frac{3x+25}{5x^2}[/tex].

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Lynne loaned $480 to a friend. The friend paid back the ammount borrowed plus 10% interest. what was the total amount the friend paid to lynne?​

Answers

480+10/100(480)
=480+48
=528
The total amount the friend paid to Lynne is $528.

Answer:

$480+$48=$528

Step-by-step explanation:

his friend paid him $480 and 10% so,

=10/100*480

=1/10*480

=480/10

=$48

so,his friend paid him $480+$48=$528.

Charlene's parents deposit $500 in an account on the day she is born. The account earns a high interest rate of 9.2% compounded quarterly because Charlene is not allowed to access the money until her 22nd birthday. How much money will Charlene have on her 22nd birthday?

Answers

Answer:

about A+=+2000%281%2B+0.023%2F1%29%5E%281%2A18%29+=+2000%2A1.023%5E18= $3,011.56 thats my math

Step-by-step explanation:

Answer:

$3,698.50

Step-by-step explanation:

When making a compound interest rate this means that the interests generated are taken into consideration when creating new interests in the next period, now there are 4 quarterly periods on a year, this means there are 88 periods in the 22 years that the account will grow, you just have to do the math:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Where n is the number of cycles per year and nt is the number of cycles over the years.

We just have to put the values into the formula:

[tex]A=500(1+\frac{.092}{4})^{22*4}[/tex]

[tex]A=500(1+\frac{.092}{4})^{88}[/tex]

[tex]A=$3,698.50[/tex]

The container that holds the water for the football team is 1/2 full. after pouring out 5 gallons of water, it is 3/10 full. How many gallons can the container hold?​

Answers

Answer:

25 gallons.

Step-by-step explanation:

The container that holds the water for the football team is 1/2 full.

After pouring out 5 gallons of water, it is 3/10 full.

The proportion that was poured out is [tex]\frac{1}{2}[/tex] - [tex]\frac{3}{10}[/tex] = [tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex]

[tex]\frac{1}{5}[/tex] of the water in the container is equal to 5 gallons

The container therefore holds: 1 × 5 ÷ [tex]\frac{1}{5}[/tex] = 5 × 5 = 25 gallons.

Final answer:

The total capacity of the container is calculated to be 25 gallons, found by using the information that 1/2 to 3/10 of the capacity equals a 5 gallon difference.

Explanation:

We have been given that the container is initially 1/2 full and becomes 3/10 full after pouring out 5 gallons of water.

To find out the total capacity of the container, we can set up a proportion where the difference between the two fractions (1/2 and 3/10) represents the 5 gallons removed.

First, we find a common denominator for the two fractions, which is 10. Now we can say:

1/2 equals 5/10After removing 5 gallons, the container is 3/10 full

The difference between 5/10 and 3/10 is 2/10, which equates to the 5 gallons poured out. Thus, 2/10 of the container's capacity is 5 gallons, and we can find the full capacity (10/10) by multiplying the 5 gallons by 5 (since 2 × 5=10).

So, the container's total capacity is 5 gallons × 5 = 25 gallons.

the lines graphed below are parallel. the slope of the red line is -4/3. what is the slope of the green line​

Answers

Answer:

-4/3

Step-by-step explanation:

If the lines are parallel, they have the same slope.

Since the red line has a slope of -4/3, the green line will have a slope of -4/3

a 2 digits even multiple of 7​

Answers

Answer:

14, 28, 42, 56, 70, 84, (etc.)

Step-by-step explanation:

14, 28, 42, 56, 70, 84, (etc.) are all multiples of 7. They're also even and have 2 digits.

Answer:     14  28  42  56  70  84

Step-by-step explanation: Hopes this helps

Which of the following expressions results in 0 when evaluated at x = 4?

A. (x + 6)(x - 2)

B. 4x(x - 6)

C. (x - 10)(x - 4)

D. (x + 4)(x - 10)

Answers

Answer:

C

Step-by-step explanation:

x-4 is zero when x=4

so the one that contains the factor (x-4)

C

Answer: C. (x-10)(x-4)

(x-10)(x-4) put 4 in for x

(4-10)(4-4)=(-6)(0)=0

Find the non permissible replacement for -5/3y

Answers

Answer:

0.

Step-by-step explanation:

The nonpermissible replacement of the variable in an expression is the value of x that will make the denominator of the expression zero.

This problem will therefore be written as -5/3y≠0, and it can't be 0, so 0 is your non permissible replacement.

Hope this helps!

Which statements about the system are true? Check all that apply. y =1/3 x – 4 3y – x = –7 The system has one solution. The system consists of parallel lines. Both lines have the same slope. Both lines have the same y–intercept. The equations represent the same line. The lines intersect.

Answers

ANSWER

The system consists of parallel lines. Both lines have the same slope.

EXPLANATION.

The first equation is

[tex]y = \frac{1}{3} x - 4[/tex]

This equation is in the slope-intercept form.

The second equation is

[tex]3y - x = - 7[/tex]

We write this one too in slope-intercept form so that we can make comparison.

[tex] \implies \: y = \frac{1}{3} x - \frac{7}{3} [/tex]

We can see that both equations have slope

[tex]m = \frac{1}{3} [/tex]

This means the two lines are parallel.

The two lines have different y-intercepts.

Two parallel lines with different y-intercepts will never meet.

The lines will never intersect.

Answer:

The true statements are:

- The system consists of parallel lines

- Both lines have the same slope

Step-by-step explanation:

* Lets talk about the solution of the linear equations

- There are three types of the solutions of the system of linear equations

# If the two lines intersect each other, then there is one solution

- The equations are ax+ by = c , dx + ey = f

# If the two lines parallel to each other, then there is no solution

- The equations are ax+ by = c , ax + by = d in its simplest form ,

  where a is the coefficient of x , b is the coefficient of y and

  c , d are the numerical terms

# If the two lines coincide (over each other), then there are infinite

   solutions

- The equations are ax+ by = c , ax + by = c in its simplest form, where

  a is the coefficient of x , b is the coefficient of y and c is the

  numerical term

* Lets solve the problem

∵ The system of equation is:

   y = 1/3 x - 4 ⇒ (1)

   3y - x = -7 ⇒ (2)

- Lets put equation (1) in the form of equation (2)

∵ y = 1/3 x - 4 ⇒ multiply both sides by 3

∴ 3y = x - 12 ⇒ subtract x from both sides

∴ 3y - x = -12

∴ Equation (1) is 3y - x = -12

∵ Equation (2) is 3y - x = -7

∵ The coefficients of x and y in the two equation are equal

∵ The numerical terms in the two equations are not equal

∴ The equations have no solution because their lines are parallel

∵ The parallel lines have same slope

* The true statements are

- The system consists of parallel lines

- Both lines have the same slope

Hanna and Swathi walked several miles for a charity. Altogether they walked more than 14 miles. If Hanna walked 8 miles
then which represents s the number of miles Hanna could have walked?

Answers

Answer:

S>6

Step-by-step explanation:

Let us suppose the distance walked by Hanna and swati is represented by H and S.

And total distance travelled is D

D=H+S

D>14

H+S>14

Given H=8

8+S>14

S>6

Hence swati walked more than 6 miles

Please help ! I will mark you brainliest and give you 35 points

Answers

Answer:

13. part a

What Lenora did wrong is that when you multiply 2 terms, the exponents are added not multiplied. It would be 10x^4y^6

13. part b

2xy^4

when the terms are divided, the exponents are subtracted

Answer:

13. part a

What Lenora did wrong is that when you multiply 2 terms, the exponents are added not multiplied. It would be 10x^4y^6

13. part b

2xy^4

when the terms are divided, the exponents are subtracted

Step-by-step explanation:

Three generous friends, each with some cash, redistribute their money as follows: Ami gives enough money to Jan and Toy to double the amount that each has. Jan then gives enough to Ami and Toy to double their amounts. Finally, Toy gives Ami and Jan enough to double their amounts. If Toy has $36 when they begin and $36 when they end, what is the total amount that all three friends have?

Answers

The total amount that all three friends have is $84.

Let's assume that Ami, Jan, and Toy have x, y, and z dollars respectively. After the first redistribution, we know that:

x - a = 2(y + z)

y + a = 2(x + z)

z + a = 2(x + y)

where a is the amount of money that Ami gives to Jan and Toy.

Solving these equations, we get:

x = 5z - 4a

y = 5z - 6a

z = z

After the second redistribution, the new amounts are:

x + b = 2(y + c)

y - b + c = 2(x + c)

z + b + c = 2(x + y)

where b is the amount that Jan gives to Ami and Toy, and c is the amount that Toy gives to Ami and Jan.

Solving these equations, we get:

x = 14c

y = 11c

z = 6c

Finally, after the third redistribution, the new amounts are:

x + 2d = 2(y + 2d)

y + 2d = 2(x + 2d)

z - 2d + 2c = 2(x + y)

where d is the amount that Toy gives to Ami and Jan.

Solving these equations, we get:

x = 8d

y = 10d

z = 18d

Since we know that z = $36, we can solve for d and get d = $2. Therefore, the total amount that all three friends have is:

x + y + z = 8d + 10d + 36 = $84.

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Other Questions
What is 312 times 263 Which of the following contributes most to climate change PLEASEEEEE HELPPPPPPP!!!!!!!!!!!!!!!!! When your done pick either A,B,C,OR D THANK YOUUUUUUYUNights and Dragons From the memoir of author Abigail Prynne 1 I sit at my desk listening to thunder growl outside my window. Flashes of light burst through the darkness, and wind races past my window. The thrilling combination of sight and sound conjures up visions of dragons roaring proudly, breathing fire, and soaring across the midnight sky. Dragons first fascinated me when I was a little girl. They have followed me ever since. The magnificent creatures appeared in storybooks I read in the library, paintings I saw in museums, movies I watched in the theater, and the dreams I had in my sleep. By the time I was thirteen, one question consumed me. I wanted to know if dragons ever existed, so I set out on a quest for facts. 2 As I started my research, I discovered many skeptics. Scientists presented evidence to show why dragons could notand did notexist. They explained that it would be impossible for dragons to fly because they would be too big. They laughed at the idea of dragons breathing fire. They pointed out that no other animal has ever done this. They said that if dragons had lived, someone would have found remains somewhere in the world. No bones about it, there were plenty of logical explanations. It would have been easy for me to accept that the only place dragons ever existed was in the imaginations of those who believed. 3 I could have given up, but I thought about my grandmother. She always told me that "people who believe that science is the answer to everything are missing out on everything else." With her words in mind, I searched some more. There were many facts that hinted that dragons may not be fictional. I noticed that cultures across the world all described dragons in similar ways. This was odd because they had no way to communicate with each other. I found dragons mentioned in more than just stories. They appeared in old legal papers, in the travel logs of Marco Polo, and in the Bible. I saw that the Chinese calendar uses a different animal each year. Dragons are included along with eleven real animals. I began to believe it was a real possibility that all of these people were talking about a creature that actually existed. 4 With renewed hope that there was some truth to the legends, I looked for new research. I found that some experts disagreed with popular arguments against dragons. They suggested that a dragon could have four stomachs like a cow. If it created stomach gases like birds, it might create enough to lift itself off the ground. This would give it the ability to fly. If it forced out air when diving toward the earth, it might release gases which could ignite into flame. When the animal died, the stomachs would release strong acids that would dissolve its dead body over time. Biologists backed up these ideas with sketches and models based on known animals. Not everyone agreed with these ideas, but many of the things we accept about dinosaurs and other extinct species started the same way. 5 I doubt we will ever truly know whether dragons existed. There may always be two sides to the fiery debate. Some will say the stories come from active imaginations. Some will believe with all their hearts that the legendary creatures roamed our ancient world. I don't know for certain which side to believe, but the sound and fury of a night like this makes me smile. It rekindles my childhood dreams and keeps the exciting possibility alive. Which sentence from paragraph 4 makes an explicit statement without offering any implicit suggestions? With renewed hope that there was some truth to the legends, I looked for new research. If it created stomach gases like birds, it might create enough to lift itself off the ground. Biologists backed up these ideas with sketches and models based on known animals. Not everyone agreed with these ideas, but many of the things we accept about dinosaurs and other extinct species started the same way. An initial investment of $100 is now valued at $150. The annual interest rate is 5%, compounded continuously. The equation 100e0.05t = 150 represents the situation, where t is the number of years the money has been invested. About how long has the money been invested? Use your calculator and round to the nearest whole number. Years Which of the following describes one of the ways that the demographics of an area affect the price of housing in that area? Which is the correct answer? Question is in picture, please please help A rectangular field is 400 meters long and 300 meters wide area in square kilometers Which ending sentence for a novel would most likely leave the reader with afeeling of excited anticipation?O A. In the end, Harriett had gotten what she deserved - nothing more,nothing lessO B. Doug and Linda had five children and spent the rest of their yearstogether.OC. Sure, he'd miss home, but he had some living to do out beyond thehorizon.OD. The crowd was only satisfied once Will was run right out of town. the human stomach need to maintain a pH level between 1 and 2 in order to properly digest food. what is true regarding the environment of the human stomach Which type of tissue is not readily repaired if damaged? Epithelial or tissue whose cells remain mititic throughout life or tissues whose mature cells are amititic or liver? A market researcher obtains a list of all streets in a town. She randomly samples 10 street names from the list, and then administers survey questions to every family living on those 10 streets. What type of sampling is this? Which functions are even? check all the boxes that apply.pls hurry!! A player uses a hockey stick to push a puck at a constant velocity across the ice. The weight of the puck is 170 N. Thecoefficient of friction is 0.0600. With what force must the player push the puck so that his force just equals the frictionalforce?28.3 N0.999 N0.102 N0.0104 N When was hispanic heritage first celebrated in the US? Classify the triangle.scaleneequilateralisosceles who killed Mahatma Gandhi Why does a red shoe appear red in daylight Mr. Shaw graphs the function f(x) = 5x + 2 for his class. The line contains the point (-2, 12). What is the point-slope form of the equation of the line he graphed? For Mexican American infants born in Arizona in 1986 and 1987, the probability that a child's gestational age is less than 37 weeks is 0.142 and the probability that his or her birth weight is less than 2500 grams is 0.051. Furthermore, the probability that these two events occur simultaneously is 0.031. Please show work!a. are A and B independent?b. For a randomly selected Mexican American newborn, what is the probability that A or B or both occur?c.What is the probability that event A occurs given that event B occurs? Steam Workshop Downloader