PLEASE HELP
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I need someone to check my answers for me, if anything is wrong please explain where I messed up so I can fix it. It is solving systems - word problems. If it helps, I've also listed the copyright holder for the worksheet.

©️ Gina Wilson (All Things Algebra), 2012

Please help me out!​

PLEASE HELP-I Need Someone To Check My Answers For Me, If Anything Is Wrong Please Explain Where I Messed

Answers

Answer 1
They are correct. I looked over the problems and they are correct.
Answer 2

The Town Recreation Department ordered 76 baseballs and 24 bats.

Given that, the total number of baseballs = 100, the total purchase = $822, cost of each baseball = $4.50 and the cost of each bat = $20.

What are simultaneous equations?

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Let the number of baseballs be x and the number of bats be y.

Now, the total number of items = The number of baseballs + The number of bats

⇒ 100=x+y ------(I)

Total amount = 4.50x+20y

⇒ 4.50x+20y = 822 ------(II)

Solve the obtained equations:

Put x=100-y in the equation 4.50x+20y = 822

We get, 4.50(100-y)+20y = 822

⇒ 450-4.50y+20y=822

⇒ 15.5y=372

⇒ y=372/15.5

⇒ y= 24

So, x+y =100

⇒ x=100-24=76

Therefore, the Town Recreation Department ordered 76 baseballs and 24 bats.

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The question picked from the figure given:

The Town Recreation Department ordered a total of 100 baseballs and bats for the summer baseball camp. Baseballs cost $4.50 each and bats cost 20 each. The total purchase was $822. How many of each item was ordered?


Related Questions

70.5 - 6.81 =
63.69
63.71
64.69
77.31

Answers

Answer:

63.69

Step-by-step explanation:

derive sina
[tex]derive \: (sin(cos ^{2} x)) \: [/tex]

Answers

Answer:

the derivative of given function is

[tex]cos(cos^2 x )(-sin 2 x)[/tex]

Step-by-step explanation:

Step :-

using chain rule formula [tex]\frac{d y}{d x} = \frac{d y}{d u} X\frac{d u}{d x}[/tex]

let [tex]Y = sin(cos^2 x)[/tex]  ...........(1)

[tex]\frac{d(sin x)}{d x} = cos x[/tex]

Differentiating equation (1) with respective to x,we get

[tex]\frac{d y}{d x} = cos(cos^2 x) \frac{d}{d x} (cos^2 x)[/tex]........(2)

we will use again formula

[tex]\frac{d(cos x)}{d x} = -sin x[/tex]

[tex]\frac{d (x^{2} )}{d x} =2 x[/tex]

From (2) equation we will get solution is

[tex]\frac{d y}{d x} = cos (cos^2 x) (2 cos x (\frac{d(cos x)}{dx} )[/tex]  ........(3)

again simplification the equation (3) we will get

[tex]\frac{d y}{d x} = cos(cos^2 x)(2 cos x(-sin x))[/tex] ........(4)

by using trigonometry formula

[tex]2 sin x cos x = sin2x[/tex]

now the equation (4) we get final solution is

[tex]\frac{d y}{d x} = cos(cos^2 x)(- sin2x)[/tex]

Enter the numerator and the denominator of the fraction in simplest form that is equal to the decimal shown.
0.63

Answers

Final answer:

To convert the decimal 0.63 to a fraction, write it as 63/100, and simplify if possible. Since 63 and 100 do not have a common divisor larger than 1, the fraction is already in its simplest form, which is 63/100.

Explanation:

The question involves converting a decimal to a fraction in simplest form. To convert the decimal 0.63 into a fraction, you can write it as 63/100 because there are two digits after the decimal point, which equates to the hundredth place. To simplify the fraction, you look for the greatest common divisor (GCD) of both the numerator and the denominator. In this case, both 63 and 100 can be divided by the GCD which is 1. Thus, the fraction is already in its simplest form and the answer is 63/100.

Final answer:

The decimal 0.63 written as a fraction in simplest form is 63/100, which cannot be reduced further since 63 and 100 share no common factors other than 1.

Explanation:

The numerator and denominator of the fraction in simplest form that is equal to the decimal 0.63 can be found by moving the decimal point two places to the right. This gives us the fraction 63/100 which can be simplified to 9/15 by dividing both the numerator and denominator by the greatest common factor, which is 9. To convert the decimal 0.63 into a fraction in simplest form, you can start by writing it as ⅓ over 100, since the last digit is in the hundredths place. This gives you the fraction 63/100. However, the question asks for the simplest form, so you should reduce the fraction by finding the greatest common factor of the numerator and denominator.

The greatest common factor of 63 and 100 is 1, so 63/100 cannot be reduced any further - it is already in its simplest form. Thus, the answer is simply ⅓ over 100 or 63/100.

What is 7y + 12 - 6 +(-8y)

Answers

Answer:

-1y+6

Step-by-step explanation:

Here’s why:

Combine like terms. -8y and 7y added together becomes -1y giving the first term.

The second term is from subtracting 12 and 6.

Hope this helps!

Answer:

-y + 6

Step-by-step explanation:

7y + 12 - 6 + (- 8y) =

7y + 12 - 6 - 8y =

7y - 8y = -y

12 - 6 = 6

- y + 6

X is less than equal to nine in greater than four

Answers

yesssuhhhhhy that is actually correct no cap

F(x) is an even function and f(-6) = 8. If g(x) = 4f(x+2)-1, then which of the following is the value
of g(4)?

Answers

Plz specify problem clearer

The value of function g (4) will be 31.

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

F(x) is an even function.

So, F(-x) = F(x)

And, f(-6) = 8

Now,

The function is,

g(x) = 4 f(x+2) - 1

Find the value of g(4), substitute x = 4 in above equation as;

⇒ g (4) = 4 f(4 + 2) - 1

⇒ g (4) = 4 f (6) - 1

Since, F(x) is an even function.

So, F(-8) = F(8)

Hence, We get;

⇒ g (4) = 4 × 8 - 1

⇒ g (4) = 32 - 1

⇒ g (4) = 31

Thus, The value of function g (4) will be 31.

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While exercising, a person’s recommended target heart rate is a function of age. The recommended number of beats per minute, y , is given by the function y=f(x)=−0.85x+187 where x represents a person’s age in years. Determine the number of recommended heart beats per minute for your age. Show each step in the process of this calculation.

x=21

Answers

Answer:

170 heart beat per minute.

Step-by-step explanation:

While exercising, a person’s recommended target heart rate is a function of age. The recommended number of beats per minute, y, is given by the function y = f(x) = − 0.85x + 187 where x represents a person’s age in years.

So, if my age is 21 years i.e. x = 21, then the number of recommended heart beats per minute for my age will be

y = f(21) = - 0.85(21) + 187 = - 17.85 + 187 = 169.15 ≈ 170. (Answer)

{Taking the larger integer value}

20 points
Write as a power of a binomial.
[tex]125m^{2} -15m^2+\frac{3}{5} m-\frac{1}{125}[/tex]

Answers

Answer:

[tex](5m - \frac{1}{5})^{3}[/tex]

Step-by-step explanation:

We have to write the following expression as a power of a binomial.

The expression is [tex]125m^{3} - 15m^{2} + \frac{3}{5}m - \frac{1}{125}[/tex].

Now, we have to rearrange the given expression.

[tex]125m^{3} - 15m^{2} + \frac{3}{5}m - \frac{1}{125}[/tex]

= [tex](5m)^{3} - 3(5m)^{2}(\frac{1}{5}) + 3(5m)(\frac{1}{5})^{2} - (\frac{1}{5})^{3}[/tex]

= [tex](5m - \frac{1}{5})^{3}[/tex] (Answer)

Since we know the identity as (a - b)³  = a³ - 3a²b + 3ab² - b³.

5x−7=−10x+8

x = ___
(type your answer as a number)

Answers

Answer:

x=1

Step-by-step explanation:

5x-7=-10x+8

5x=−10x+8+7

5x=−10x+15

5x+10x=15

15x=15

Answer: x=1

Answer:

x = 1

Step-by-step explanation:

Put the like terms to same side of equation

5x -7 = -10x +8 ➡ 5x + 10x = 8 + 7

15x = 15

x = 1

(05.07 MC)
The correlation coefficient for poor hearing and loud music in a group of people is 0.67 Analyze the following statement:
Poor hearing is caused by listening to loud music.
Is this a reasonable conclusion?

Answers

Final answer:

While a correlation of 0.67 suggests a positive relationship between loud music and poor hearing, it does not confirm causation. Many factors contribute to hearing loss, and while loud music is a significant risk factor for noise-induced hearing loss, one cannot definitively conclude it causes poor hearing without considering other variables.

Explanation:

The correlation coefficient of 0.67 between poor hearing and loud music indicates a positive and moderate relationship between the two variables, suggesting that people who listen to loud music tend to have poorer hearing. However, correlation does not imply causation. While loud music can be one of the factors contributing to poor hearing, it is important to remember that other factors can also lead to hearing loss, such as age, genetics, infections, and other environmental noises. Therefore, while the correlation is significant, we cannot conclude with certainty that poor hearing is exclusively caused by listening to loud music.

Noise-induced hearing loss can indeed happen from prolonged exposure to sounds of high intensity. For example, listening to music through earbuds at maximum volume, which can be around 100-105 decibels, increases the risk of hearing loss and can cause noise-induced hearing loss after 15 minutes of exposure. The impact of sound intensity on hearing health is undeniable, but when determining causality, a deeper investigation into other possible contributing factors must also be taken into account.

Complete the sentences to make true statements.
6 is 100 times

Answers

Answer:

Step-by-step explanation:

0.06

you can solve it one of 2 ways

first : put 6 over 100 and make it a fraction so 6/100 then convert it to a decimal depending on how your teacher wants it

secondly: divide 6 by 100

Which inequality is represented by the graph?
A. y>−32x−2
B. y≤−32x−2
C. y≥−32x−2
D. y<−32x−2

Answers

Inequality that represents the graph

[tex]y>\:-\frac{3}{2}x-2[/tex]

Option A

Explanation :

Given the graph of a linear inequality

Lets frame the linear equation of the dotted line first

Slope intercept form of linear equation is y=mx+b

where m is the slope and b is the y intercept

In the graph y intercept is -2. So value of b=-2

Now find out slope m using any two point on the dotted line

Lets pick (0,-2) and (-2,1)

slope formula

[tex]\frac{y_2-y_2}{x_2-x_1}[/tex]

Substitute the values of two points and find out slope

[tex]slope =\frac{y_2-y_2}{x_2-x_1}=\frac{1+2}{-2-0}=-\frac{3}{2}[/tex]

Now replace the values in equation  y=mx+b

[tex]y=-\frac{3}{2} x-2[/tex]

In the graph we have dotted line so we use < or >

Lets use test point (0,0) origin.

x=0  and y=0

[tex]y=-\frac{3}{2} x-2\\0=-\frac{3}{2} (0)-2\\0=-2\\0>-2\\[/tex]

So the inequality becomes

[tex]y>-\frac{3}{2} x-2[/tex]

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A pound of chocolate costs 7 dollars. Keiko buys p pounds. Write an equation to represent the total cost c that keiko pays.

Answers

7 x p = c
You need to multiply the cost per pound by the pounds to find the total cost

Answer:

7xp=c

Step-by-step explanation:

since you have to multiply p by 7. to get the answer is c. Take for example

7 x 3 =21

p=3

c=21

es -
Two linear functions of x are shown.
Which statement about the functions is true?
Function 2 can be described by the equation y= 25x - 100.
Function 2 can be described by the equation y = 13x - 11.
The y-intercept of function 1 is less than the y-intercept of function 2.
Rate of change of function 2 is less than the rate of change of function 1.

Answers

Answer:

The answer is D

Step-by-step explanation:

Answer:

THE ANSWER D ON USATESTPREP

Twenty one hundredth as a common fraction

Answers

Answer:

21/100

Step-by-step explanation:

What is the number between 0.5 and 1.0

Answers

Answer:

0.6, 0.7, 0.8, 0.9

Step-by-step explanation:

0.5 < x < 1

Answer:

It could be 0.5, 0.6, 0.7, 0.8, 0.9 depending if it is in the tenths

The sum of 9 times a number and 5 equals 7.

Answers

Answer:

9x+5=7

9x=2

x=2/9

Statement:5>4
Which is greater 5x or 4x

Answers

Answer:

5x

Step-by-step explanation:

Because the inequality sign means it greater and if it turned around than it means it less than and the = sign means it equal to

If x is positive, 5x is greater than 4x and if x is negative, 5x is less than 4x.

To determine whether 5x is greater than 4x, we need to consider the value of "x." The comparison between 5x and 4x depends on the value of "x."

If x is a positive number, then 5x will be greater than 4x because 5 is larger than 4, and multiplying by a positive number increases the value.

For example:

If x = 1, then  5x = 5, and 4x = 4. Since 5 is greater than 4, 5x is greater than 4x.

If x is a negative number, then 5x will be less than 4x because multiplying by a negative number changes the inequality sign.

For example:

If x = -1, then 5x = -5, and 4x = -4. Since -5 is less than -4, 5x is less than 4x.

Thus, it can be concluded that

If x is positive, 5x is greater than 4x. If x is negative, 5x is less than 4x.

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84 is what percent of 105?

Answers

Answer:

80%

Step-by-step explanation:

84/105=0.8

0.8=80%

Answer:

The answer is 80 percent

Convert each degrees minutes seconds into decimal degrees
351°41’142”

Answers

Answer:

351.7227778°

Step-by-step explanation:

Final answer:

The conversion of 351°41’142” into decimal degrees involves expressing minutes and seconds as fractions of a degree. This results in approximately 351.7227 degrees.

Explanation:

To convert degrees, minutes, and seconds to decimal degrees, we express the minutes and seconds as fractions of a degree. Degrees are already expressed in decimal form, so 351° remains 351. However, 1 minute equals 1/60 of a degree, while 1 second equals 1/3600 of a degree. So, to convert 41 minutes into decimal degrees, we divide 41 by 60, which equals approximately 0.6833. And to convert 142 seconds into decimal degrees, we divide 142 by 3600, which equals approximately 0.0394. Then we add these values together with the original degrees to get the final answer: 351 + 0.6833 + 0.0394 equals approximately

351.7227 degrees

.

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Select all of the quotients that have the same value as 5.04 divided by 7

1. 5.04 divided by 70
2. 50.4 divided by 70
3. 504,000 divided by 700
4. 504,000 divided by 700,000

Answers

Answer: 2 and 4

Step-by-step explanation: the quick way is by dividing all the answer options

Will mark as BRAINLIEST!!

Answers

Answer:

a= 2s-b-c

Step-by-step explanation:

s=a+b+c/2

1) Multiply everything by 2, to get rid of the /2.

2s=a+b+c

2s-b=a+c

2s-b-c=a

Answer:

Its D TRUST ME IT IS

Step-by-step explanation:

He messed up but i got it right

A line passes through the point (4, –6) and has a slope of Negative three-fourths. Which is the equation of the line?
A y = negative three-fourths x minus 3
B y = negative three-fourths x minus 6
C y = negative 3 x minus three-fourths
D y = negative 6 x minus three-fourths

Answers

Option A

The equation of line is [tex]y = \frac{-3}{4}x - 3[/tex]

Solution:

Given that line passes through the point (4, –6) and has a slope of Negative three-fourths

Given point is (x, y) = (4, -6)

[tex]slope = \frac{-3}{4}[/tex]

The equation of line passing through point (x, y) and slope "m" is given as:

y = mx + c ----- eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Substitute (x, y) = (4, -6) and [tex]m = \frac{-3}{4}[/tex] in eqn 1

[tex]-6 = \frac{-3}{4} \times 4 + c\\\\-6 = -3 + c\\\\c = -6 + 3\\\\c = -3[/tex]

The required equation of line is given as:

[tex]\text{ Substitute } m = \frac{-3}{4} \text{ and } c = -3 \text{ in eqn 1 }[/tex]

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

Thus the equation of line is found

Answer:

the answer is A

Step-by-step explanation:

Hope this helps!

Which of the following units can be used to measure area?
inches
square centimeters
meters
square yards
cubic feet

Answers

Any measurement that can be used to measure area will have the word square or squared somewhere in the term, because you multiply two values to get the area. So the answers would be inches squared, and square yards. 

Simply meters and centimeters would be used for length; cubic feet would be used for volume because three values have to be used to find an object's volume.

Hope This Helps! :)

QuezoMartiinez :)

Answer:

Square centimeters and Square yards

Step-by-step explanation:

the area of any object has to be squared. for volume it would need to be cubed

distributive property to match equivalent expression -7(4-+x)

Answers

-28+7x is the answer

As a point moves in the positive x-direction along the line graphed, what is the rate of change of y with respect to x?
A.4/3
B.3/4
C.-4/3
D.-3/4

Answers

Answer:

B. 3/4

Step-by-step explanation:

Care with these types of graphs as the values are 2 rather than one on each axis.

Away from that, rate of change can also be named "slope" in which how many units up or down the y-value goes per x value. To find the slope or "rate of change" you want to use [tex]\frac{RISE}{RUN}[/tex] .

To find the rise over run you want to go up from any point where the x and y value line up to another. The origin or (0,0) can be used to do this. Look at point (8,6) to see this. Rise from the origin 6 times and run to the right 8 times. Rise OVER run so the rate of change can be shown as 6/8 which can be simplified to 3/4.

Find the slope of the line that passes through (2,11) and (7,9).

Answers

[tex]\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{11})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{9}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{9}-\stackrel{y1}{11}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{2}}}\implies \cfrac{-2}{5}[/tex]

Answer:

it should be -2/5 if you're looking for the slope

which of the binomials below is a factor of this trinomial? x^2+12x+35

Answers

Answer:

(x+5) (x+7)

Step-by-step explanation:

Open Response 2
A glass containing water is in the shape of a right circular cylinder with a radius
of 3 centimeters. The height of the water in the glass is 10 centimeters.
a) What is the volume of the water in the glass? Be sure to include units of
measure in your answer. Show or explain how you obtained your answer.
b) Five spherical marbles of equal size are dropped into the glass. The water in
the glass rises to a height of 11 centimeters. What is the increase in the
volume of the contents of the glass? Be sure to include units of measure in
your answer. Show or explain how you obtained your answer.
c) What is the volume of one of the marbles? Be sure to include units of
measure in your answer. Show or explain how you obtained your answer.
d) What is the radius of one of the marbles? Be sure to include units of
measure in your answer. Show or explain how you obtained your answer. ​

Answers

Answer:

b

Step-by-step explanation:

Four times the larger of two numbers is equal to seven times the smaller the sum of the numbers is 22 find the numbers

Answers

Answer:

8 and 14

Step-by-step explanation:

X + Y = 22

X= 22-Y

4X= 7Y

4(22-Y) = 7Y

88-4Y=7Y

88= 11Y

8=Y

X= 22-Y= 22-8=14

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