What is the solution to the system of equations

Answer:

gain = 0

% = 0

Step-by-step explanation:

Profit

He sells one for a profit of 25% That means he sells one of them for 100% + 25% = 125%

₹1500 * 125/100 = ₹187500/100 = ₹1875

Loss

Here he sells it for 25% less than the selling price he wanted.

100% - 25% = 75%

₹1500 * 75/100 = ₹112500/100 = ₹1125

Discussion

He should make ₹1500 + ₹1500 = ₹3000 without either profit or loss.

What he actually accomplishes is ₹1125 + ₹1875 = ₹3000

So he has a net gain (loss) of 0.

The % is 0

Answer:

57.5 or 58

Step-by-step explanation:

1150 = 20x

Divide both sides by 20 to get 57.5

To be proper, you should say that 58 gallons will be used.

It all depends on the teacher, but I know that mine used to tell me to round these types of things up. If you would like to be more exact, just put 57.5 gallons.

Answer:

3 1/5

Step-by-step explanation:

"1 over 5" means 1/5

3 "1 over 5" would then translate to: 3 1/5

~

Answer:

6 1/5

Step-by-step explanation:

31/5= 6 with one left over

6 1/5 keep denominator the same

Answer:

Values of n and m is; 45 and 9

Step-by-step explanation:

As per the given statement: The value of n is both 5 times as much as the value of m and 36 more than the value of m.

"value of n is 5 times as much as the value of m" means [tex]n = 5m[/tex]

"value of n is 36 more than the value of m" means [tex]n = 36 +m[/tex]

then we have an equation:

[tex]n = 5m[/tex]                          ......[1]

[tex]n = 36 +m[/tex]                     ......[2]

Substitute the value of n from equation [1] to [2] we get;

[tex]5m = 36 +m[/tex]

Subtract m from both sides we get;

5m -m = 36 + m -m

Simplify:

4m = 36

Divide both sides by 4 we get;

m = 9

Substitute the value of m=9 in equation [1];

n = 5(9)

n = 45

Therefore, the value of m = 9 and value of n =45

The value of n is 5 times the value of m and is also 36 more than the value of m. By solving two equations, we can find that the values of n and m are 45 and 9, respectively.

The value of n is 5 times the value of m and is also 36 more than the value of m. Let's represent the value of m as x. According to the given information, we can write two equations:

n = 5m

n = m + 36

Now we can solve these equations to find the values of n and m. Substituting the value of n from the first equation into the second equation, we get:

5m = m + 36

Subtracting m from both sides of the equation:

4m = 36

Dividing both sides of the equation by 4:

m = 9

Plugging the value of m back into the first equation, we get:

n = 5(9) = 45

Therefore, the values of n and m are 45 and 9, respectively.

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For a y-intercept, the x-coordinate will always be 0.

The y-intercept is the point that a line or a function crosses the imaginary line of y, which is between x = -1 and x = 1.

This point is at x = 0, and every y-intercept will always have an x-value of 0, as that is what makes it a y-intercept.

The x-coordinate of any y-intercept is always 0. This is because the y-intercept is the point where the line crosses the y-axis, and along that axis, the x-coordinate never changes from 0.

The x-coordinate of any y-intercept is always 0. This is due to the definition of a y-intercept. A y-intercept is a point where the line crosses the y-axis. The x-axis and y-axis intersect at the point (0,0) and along the y-axis, the x-coordinate is always 0 regardless of where you are on that axis.

Imagine a horizontal line across any scatter plot. As this line moves up or down along the y-axis, the x-coordinate remains at 0, because it is not moving left or right along the x-axis. Therefore, this makes the x-coordinate of any y-intercept always 0.

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Answer:

X=62

Step-by-step explanation:

So solving for x, we have 3x-6=180 or 3x=186. So x=62

Question

what is 2x+6+x-12=180

Answer:

Step-by-step explanation:

2x + 6 + x * 12 = 180

3x = 180 - 6 + 12

3x = 186

x = 186 : 3

x = 62

Answer:

it would be 30

Step-by-step explanation:

you are rounding the tenth so the .45 is not important

you just need to look at 28 which is closer to 30 than it is to 20.

The length of the rectangular garden will be 10 meters. Thus, the correct option is B.

Given that:

Perimeter, P = 30 meters

Relation, W = L/2

Let W be the rectangle's width and L its length.

The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be given as,

Perimeter of the rectangle = 2(L + W) units

The length of the garden is calculated as,

30 = 2(L + L/2)

30 = 2 x 3L / 2

3L = 30

L = 10 meters

Thus, the correct option is B.

More about the perimeter of the rectangle link is given below.

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Answer:

Russell:  40 pounds; Sarah:  100 pounds; and Terry:  160 pounds.

Step-by-step explanation:

The three different amounts of money are 2x, 5x and 8x, or 15x.

Terry gets 8x, whereas Russell gets 2x, and 8x - 2x = 120 pounds.

Solving for x, 6x = 120 pounds, and so x = 20 pounds.

Russell gets 2(20 pounds);  Sarah gets 5(20 pounds); and Terry gets 8(20 pounds), or 40 pounds, 100 pounds and 160 pounds.  Note that 40 pounds is 120 pounds less than 160 pounds, as required by the problem.

In this ratio problem, the total money is split into 15 portions. Each portion is worth 20 pounds. Russell gets 40 pounds, Sarah gets 100 pounds and Terry gets 160 pounds.

The subject of this question is ratios and its application to practical problems. In this problem, Russell, Sarah and Terry share money in the ratio 2:5:8, meaning the total money is shared in 15 portions (2+5+8). As we know that Russell gets 120 pound less than Terry, which would be 6 portions (8 portions for Terry - 2 portions for Russell).

Therefore, each portion of money is equal to 120 pound divided by 6, which is 20 pound. So, Russell receives 2 portions which equals 40 pound (2 x 20), Sarah receives 5 portions which equals 100 pound (5 x 20) and Terry receives 8 portions which equals 160 pound (8 x 20).

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Answer:

c  This is the direct variation

Step-by-step explanation:

The equation for direct variation is y= kx

Solving this for k

y/x =k

So y/x must be a constant

a.  9/3 =3

2/7 does not =3  so this is not a direct variation

b 1/2 = .5

-3/6 = -.5

This is not the same so this is not a direct variation

c.  27/9 =3

18/6 =3

9/3 =3

This is a direct variation with a constant of 3

d 5/-7 = -5/7

1/-3 = -1/3

This is not the same so this is not a direct variation

Answer:

C

Step-by-step explanation:

The equation you are looking for must look something like y = k*x

The easiest way to find it is to try 2 points to see if k would be equal in both cases. Do this for each choice.

A

k is not the same in both case. A is not the  answer.

==================

B

Using the steps above

B is not the answer.

=====================

C

C is the answer

====================

You can try D yourself

Answer:

Fraction 3 over 8, because fraction 7 over 8 minus 2 times fraction 1 over 4 equals fraction 7 over 8 minus fraction 2 over 4.

Step-by-step explanation:

Rickey has [tex]\frac{7}{8}[/tex] of a cup of cereal in a bowl.

He then gave two [tex]\frac{1}{4}[/tex] or [tex]2\times \frac{1}{4}[/tex] or  [tex]\frac{2}{4}[/tex] cups of cereal from his bowl to his little sister.

Amount of cereal left in Rickey's bowl = [tex]\frac{7}{8}- \frac{2}{4}[/tex]

= [tex]\frac{7-4}{8}=\frac{3}{8}[/tex]

So, the answer is -

Fraction 3 over 8, because fraction 7 over 8 minus 2 times fraction 1 over 4 equals fraction 7 over 8 minus fraction 2 over 4.

Answer:

y = 125x+225

The programmer chargers a flat fee of 225 and then $125 per hour.

The charge for a 25 hour project is $3350

Step-by-step explanation:

To find the slope  (y2-y1)/(x2-x1)

          m = (1475-725)/(10-4)

             = 750/6

             =125

The slope is $125

Using the point slope form of the equation for a line

y-y1 = m(x-x1)

y-725 = 125(x-4)

Distribute the 125

y-725 =125x-500

Add 725 to each side

y-725+725 = 125x-500+725

y = 125x+225

The programmer chargers a flat fee of 225 and then $125 per hour.

If you have a 25 hour long project, let x =25

y = 125(25) + 225

y= 3125+225

y = 3350

It's an equilateral triangle. The angles have measure 60°.

Therefore we have the equations:

6x + 6 = 60        subtract 6 from both sides

6x = 54     divide both sides by 6

x = 9

5y + 10 = 60      subtract 10 from both sides

5y = 50      divide both sides by 5

y = 10

Answer:

10. I just took the test

Step-by-step explanation:

Look at the picture.

Angles KJL and SRT are Corresponding angles. JK is parallel to RS. Therefore

m∠KJL = m∠SRT

Other method.

Calculate the slope.

The formula of a slope:

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

We have the points J(-6, -6) and L(2, -2). Substitute:

[tex]m=\dfrac{-2-(-6)}{2-(-6)}=\dfrac{-2+6}{2+6}=\dfrac{4}{8}=\dfrac{1}{2}[/tex]

The slope of JL is 1/2.

We have the points R(4, -1) and T(8, 1). Substitute:

[tex]m=\dfrac{1-(-1)}{8-4}=\dfrac{1+1}{4}=\dfrac{2}{4}=\dfrac{1}{2}[/tex]

The slope of RT is 1/2.

From the figure, the slope of RT is the same as the same of JL.

Two figures are said to be similar if the they have the same shape and the ratio of their corresponding sides are in the same proportion.

From the diagram, both triangle TSR and LJK are similar.

The slope of RT is the same as the same of JL.

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Answer:

b,d,e

Step-by-step explanation:

Rock the House

Cost = initial fee + hourly charge * hours

Cost = 500 + 50h

Elegant Homes

Cost = initial fee + hourly charge * hours

Cost = 0+ 75h

Cost = 75h

Set the costs equal

500+ 50h = 75h

Subtract 50 h from each side

500 = 25h

Divide by 25

500/25= 25h/25

25 =h

The costs are equal at 20 hours

If less than 20 hours it costs less at Elegant homes.

If more than 20 hours it costs less at Rock the house

Answer:

17

Step-by-step explanation:

because 12 people can sit at each table, so youd divide 198 by 12 to see how many tables youd need, and you get 16.5. you cant have 16.5 tables, so always round up when it comes to objects, humans, things, etc. so you get 17

Answer:

12

Step-by-step explanation:

√9 = 3 and √16 = 4

3 + 4 = 7

There is the same relationship in the second and third  set of numbers.

so for 25,9 the answer is 5 + 7 = 12

Answer:

12.

Step-by-step explanation:

We have been given format of different numbers. We are asked to find the missing value for our given format.

[tex]9,16=7[/tex]

Taking square root of 9 and 16 we will get,

[tex]\sqrt{9}=3[/tex]

[tex]\sqrt{16}=4[/tex]

[tex]3+4=7[/tex]

Similarly, we can see that by taking the square root of all the on the left side of equation and adding them we get right side of equation.

[tex]\sqrt{4}=2[/tex]

[tex]\sqrt{36}=6[/tex]

[tex]2+6=8[/tex]

[tex]\sqrt{121}=11[/tex]

[tex]\sqrt{81}=9[/tex]

[tex]11+9=20[/tex]

Upon taking square root of 25 and 49 we will get,

[tex]\sqrt{25}=5[/tex]

[tex]\sqrt{49}=7[/tex]

[tex]5+7=12[/tex]

Therefore, the missing number of our given sequence is 12.

The equation of the given straight line in slope-intercept form is y = 3x + 9. The y-intercept or the point at which the line crosses the y-axis (0,9), and the rate of change or slope of the line is 3.

The equation of a line in slope-intercept form is expressed as y = mx + b where m represents the slope of the line, and b represents the y-intercept.

Given the information from the figure, the slope m is 3 and the y-intercept b is 9. Therefore, the equation of the line in slope-intercept form can be written as y = 3x + 9.

The line intersects the y-axis at (0,9) which is the y-intercept in coordinate form. The rate of change, represented by the slope, is 3, which means for every increase of 1 unit on the x-axis, the y-value increases by 3 units.

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Answer:

None of the above

Step-by-step explanation:

a.  (10+50) *4

   60 *4

  240

b.  2 * (19+13)

  2* (32)

64

c.  ( 120+8)÷3

     128/3

     42 2/3

d .  4+ 8*8

   4 + 64

    68

Hello there! Your answer would be x = 9/24.

You want to isolate x, and get everything on the other side of the equation.

Let's start by subtracting 10x from both sides. This will cancel it out on the right side, so our x values are only on the left side.

34x-10x - 18 = 10x-10x - 9

24x - 18 = - 9

Next, you want to add 18 to both sides so the x values are on their own side.

24x - 18+18 = - 9+18

24x = 9

Now our last step is to divide both sides by 24 to finish isolating x.

24/24x = 9/24

x = 9/24

The equation is already simplified, so we don't need to simplify any further. I hope this helps and have a great day!

The solution to the equation 34x - 18 = 10x - 9 is x = 3/8.

The given expression is,

34x - 18 = 10x - 9

Combining like terms.

We can do this by subtracting 10x from both sides, which gives us:

34x - 10x - 18 = -9

Simplifying further, we can combine the x terms:

24x - 18 = -9

Next, we'll add 18 to both sides of the equation:

24x = 9

Finally, we'll divide both sides by 24 to isolate x:

x = 9/24

Simplifying the fraction gives us:

x = 3/8

So the solution to the equation 34x - 18 = 10x - 9 is x = 3/8.

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Answer:

x = 2

Step-by-step explanation:

When 2 secants are drawn from an external point to a circle the following theorem applies

outside × whole = outside × whole, that is

(x + 1)(x + 1 + 11) = (x + 4)(x + 4 + 1) ← simplify

(x + 1)(x + 12) = (x + 4)(x + 5) ← expand factors on both sides

x² + 13x + 12 = x² + 9x + 20 ( subtract x² from both sides )

13x + 12 = 9x + 20 ( subtract 9x from both sides )

4x + 12 = 20 ( subtract 12 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

Answer:

25 cents

or

.25 of a dollar (1.00)

8 (7) - 4 =

56 - 4 = 52

I hope this helps! Have a good night!

Answer:

which one was it

Step-by-step explanation:

Answer:

The correct option is C. The given graph represents the function f(x)=sin(x).

Step-by-step explanation:

From the given graph it is clear that the initial value of the function is 0.

The maximum value of function is 1 at [tex]x=\frac{\pi}{2}[/tex].

The minimum value of function is -1 at [tex]x=\frac{3\pi}{2}[/tex].

The period of the function is 2π.

The x-intercepts are 0, π, 2π.

These are the properties of a positive sine function. The given graph represents the function f(x)=sin(x).

Therefore the correct option is C.

To confirm the solution find the value of each function at x=0, and [tex]x=\frac{\pi}{2}[/tex]. The function must be satisfy by the points (0,0) and [tex](\frac{\pi}{2},1)[/tex]

For option (1),

[tex]f(x)=-\cosx[/tex]

[tex]f(0)=-\cos(0)=-1\neq 0[/tex]

Therefore option 1 is incorrect.

For option (2),

[tex]f(x)=\cosx[/tex]

[tex]f(0)=\cos(0)=1\neq 0[/tex]

Therefore option 2 is incorrect.

For option (3),

[tex]f(x)=\sinx[/tex]

[tex]f(0)=\sin(0)=0[/tex]

[tex]f(\frac{\pi}{2})=\sin(\frac{\pi}{2})=1[/tex]

Therefore option 3 is correct.

For option (4),

[tex]f(x)=-\sinx[/tex]

[tex]f(0)=-\sin(0)=0[/tex]

[tex]f(\frac{\pi}{2})=-\sin(\frac{\pi}{2})=-1\neq 1[/tex]

Therefore option 4 is incorrect.

The equation representing the taxi company's charges is y = 2.50 + 1.10x. With $10, you can afford to travel approximately 6.82 miles.

The taxi company's charges can be represented by a simple linear equation. The basic charge of $2.50 is the y-intercept of the equation, which means it's the starting point before any miles are driven. The $1.10 per mile charge, on the other hand, is the slope of the line and represents the cost for each mile driven.

So the equation to represent this situation would be y = 2.50 + 1.10x where y is the total cost and x is the number of miles driven.

To find out how far you can travel with $10, you would set y to 10 and solve for x:

10 = 2.50 + 1.10x

To solve for x, subtract 2.50 from each side of the equation:

7.50 = 1.10x

So you could travel approximately 6.82 miles with $10.

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Answer:

The parameters are 7 and 45.

Step-by-step explanation:

Let's model the situation.

Let h be the number of hours Jason worked in a week.

Then, his total income is calculated as follows

His hourly charges = $7

Number of hours worked = h

So, hourly charges for the hours he worked = 7h

Additional income offered by his boss = 45

So, his total income per week = 7h + 45

Here, 7, the hourly charge and 45, the additional income are the parameters.

Answer:

40+70= 110

8+2=10

110+10=120

Step-by-step explanation:

Hi there! :)

Answer:

120

*The answer must have a positive sign.*

Step-by-step explanation:

Distributive property: a(b+c)=ab+ac

First, you add by the numbers from left to right.

[tex]72+48=120[/tex]

Final answer is 120.

Hope this helps!

Have a nice day! :)

:D

-Charlie

Thanks!

Answer: choice B 12 cm^2

A = (1/2)*b*h

A = 0.5*b*h <---- 1/2 is the same as 0.5

A = 0.5*4*6 <---- replace b with 4; h with 6

A = 2*6

A = 12

Alternatively, you can multiply the base and height to get 24, then cut that in half to get 12.

Answer:

3.25

Step-by-step explanation:

If we are rounding to the hundreds place, we look at the thousandths place or the 6.  Since 6>=5 we will round up.  The 4 will become a 5

 3.246 rounds to 3.25

Answer:

3.25

Step-by-step explanation:

AS the  digit after 4 is  6 we round up the 4.

Answer:

a. Vertical angles: 1 and 4, 2 and 3, 5 and 8, 6 and 7.

b. Supplementary angles: 1 and 2, 2 and 4, 3 and 4, 1 and 3, 5 and 6,

6 and 8, 7 and 8, 5 and 7.

c. Corresponding angles: 1 and 5, 2 and 6, 3 and 7, 4 and 8.

d. Alternate interior angles: 3 and 6, 4 and 5.

e. Alternate exterior angles: 1 and 8, 2 and 7.

Step-by-step explanation:

a. Vertical angles (opposite by the vertex):

1 and 4, 2 and 3, 5 and 8, 6 and 7

b. Supplementary angles (sum 180°):

1 and 2, 2 and 4, 3 and 4, 1 and 3, 5 and 6, 6 and 8, 7 and 8, 5 and 7

c. Corresponding angles (same position respect the right lines and the secant):

1 and 5, 2 and 6, 3 and 7, 4 and 8

d. Alternate interior angles (between the lines but in different position with respect the secant):

3 and 6, 4 and 5

e. Alternate exterior angles (not between the lines and in different position with respect the secant):

1 and 8, 2 and 7