Use the substitution method to solve the system of equations. Write your answer as an order pair. y=x-2 and y=-2x+7

Given:

Total amount spend on movie = $75

Each friend bought a ticket and a small popcorn that cost $8.25.

To find:

The price of each ticket.

Solution:

Let x be the price of each ticket.

Total cost of ticket and popcorn of each friend [tex]=x+8.25[/tex]

Total cost of ticket and popcorn of three friend [tex]=3(x+8.25)[/tex]

It is given that, the total amount spend on movie is $75. So,

[tex]3(x+8.25)=75[/tex]

[tex]x+8.25=\dfrac{75}{3}[/tex]

[tex]x+8.25=25[/tex]

Subtract 8.25 from both sides.

[tex]x=25-8.25[/tex]

[tex]x=16.75[/tex]

Therefore, the cost of each movie ticket is $16.75.

Answer:

66 ft

Step-by-step explanation:

model: real life

1 inch : 12 ft

We have 5.5 inches so we need to multiply each side by 5.5 inches

model: real life

1 *5.5 : 12 *5.5

5.5 in: 66 ft

Answer:

66 feet

Step-by-step explanation:

1 inch of a model represents 12 feet of a real shuttle

5.5 inches as height of a model will represent 12 × 5.5 feet as height of a shuttle

=66 feet

Answer:

$1,976.25

Step-by-step explanation:

Since one square foot cost $ 7.50 we simply multiply that by 263.5.

263.5 × 7.50= $1,976.25

Answer:

f(x) = (-1/2)(x^2 + 8x - 15)

Step-by-step explanation:

This function has two roots:  -3 and 5.  Most likely it is a quadratic (all of which have two roots).

Then f(x) = a(x + 3)(x - 5)

The graph goes through (1. 8):  Therefore, y = 8 when x = 1:

f(1) = a(1 + 3)(1 - 5) = 8, or

        a(4)(-4) = 8, or

            -16a = 8, which leads to a = -1/2.

Thus the quadratic in question is f(x) = (-1/2)(x + 3)(x - 5), or

                                                        f(x) = (-1/2)(x^2 + 8x - 15)

The function is a quadratic function given by f(x) = (-1/2)(x + 3)(x - 5) and f(x) = (-1/2)(x² + 8x - 15).

A function is a law that relates a dependent and an independent variable.

The function has x-intercepts at (-3,0) and (5,0),

The function  has two roots:  -3 and 5

So, the equation is a quadratic equation represented by

f(x) = a(x + 3)(x - 5)

The function goes through the point (1. 8)

y = 8 when x = 1

f(1) = a(1 + 3)(1 - 5) = 8

-16a = 8,

a = (-1/2)

f(x) = (-1/2)(x + 3)(x - 5)

f(x) = (-1/2)(x² + 8x - 15)

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Answer:

A turtle travels about 90 feet

Because if a turtle can travel 450 feet within 25 minutes, then dividing 25 by 450 is 18 feet per minute, but if you multiply 5 minute x 18 feet, you get 90 feet in all.

So, a turtle can travel 450 feet per 25 minutes,

18 feet per minute, and

90 feet per 5 minutes

Hope this helps and I hope it is right, I used my skill thinking to solve this. So, please let me know if it did help and you do get it.

Answer:

16/13 is the answer.

26-10 is 16 and 2x5+3 is 13

Answer:

4

Step-by-step explanation:

26 - 25 + 3

Answer:

(x + 6)² + (y + 8)² = 100

Step-by-step explanation:

The standard equation for a circle is (x - a)² + (y - b)² = r²

If you find the r² of this circle, you will get 100, and there's just one equation with 100

(-5, -1)

Hope this helps! :)

Answer:

Step-by-step explanation:

m=3x +4xm

Answer:

b

Step-by-step explanation:

I can't explain it but the answer is b

Answer:

The percentage change is 140%

Step-by-step explanation:

Given

[tex]L= 3W_1[/tex] ---- initial dimension

[tex]W_2 = 6m[/tex] --- new width

[tex]A_2 = 45m^2[/tex] --- new dimension

Required

The percentage increment

The length remains constant because only the width is extended.

The new area is:

[tex]Area =Length * Width[/tex]

[tex]A_2=L * W_2[/tex]

Make L the subject

[tex]L = \frac{A_2}{ W_2}[/tex]

Substitute values for A and W

[tex]L = \frac{45m^2}{6m}[/tex]

[tex]L = \frac{45m}{6}[/tex]

[tex]L = 7.5m[/tex] --- this is the length of the garden

Calculate the initial width:

[tex]L= 3W_1[/tex]

Make W1 the subject

[tex]W_1 = \frac{1}{3} * L[/tex]

[tex]W_1 = \frac{1}{3} * 7.5[/tex]

[tex]W_1 = 2.5[/tex]

So, the initial area is:

[tex]A_1 = L_1 * W_1[/tex]

[tex]A_1 = 2.5 * 7.5[/tex]

[tex]A_1 = 18.75[/tex]

The percentage change in area is:

[tex]\%A = \frac{A_2 - A_1}{A_1}[/tex]

[tex]\%A = \frac{45 - 18.75}{18.75}[/tex]

[tex]\%A = \frac{26.25}{18.75}[/tex]

[tex]\%A = 1.4[/tex]

Express as percentage

[tex]\%A = 1.4*100\%[/tex]

[tex]\%A = 140\%[/tex]

Answer:

Write the number 12489 in words

Answer:

$10.80

Step-by-step explanation:

54 × 20%

= 54 × 20/100

= 1080/100

=10.8

The amount you tip the waiter is $10.8.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

So the percentage actually means a part per 100.

Percentage is usually denoted by the symbol '%'.

Amount of bill in the restaurant = $54

Percentage of tip given = 20%

In order to calculate the exact amount of tip given, we have to multiply the percent with the whole.

Amount given as tip = 20% × 54

20% means 20 parts of a 100 or 20/100.

Amount given as tip = (20 / 100) × 54

                                  = 0.2 × 54

                                  = 10.8

Hence the amount that the waiter has been tipped is $10.8.

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Answer:

x = 6

Step-by-step explanation:

[tex]\frac{-2}{3}x+9=\frac{4}{3} x-3[/tex]

-2x = -12

x = 6

Answer:

x = 6

Step-by-step explanation:

Answer:

Your correct answer will be 6.2

Step-by-step explanation:

First, we line up the decimal points,  0.2 plus 6.0, always add 0 to the number without the decimal.

Last, you just add them, and you will get 6.2

Mark me brainliest and have a good day!

Step-by-step explanation:

y = 5^x -9

5^x = y + 9

x = ^5 log (y+9)

f~'(x) = ^5 log (x+9)

Answer:

XY=6

Step-by-step explanation:

13-7=6

Answer:

XY = 6

Step-by-step explanation:

We know that the whole line (XZ) is equal to 13, and we know that YZ + XY is equal to XZ.

XZ = XY + YZ

13 = XY + 7

6 = XY

Hope this helped :)

Answer:  56 degrees approximately

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

Work Shown:

tan(angle) = opposite/adjacent

tan(x) = 15/10

tan(x) = 1.5

x = arctan(1.5)

x = 56.3099 approximately

x = 56 degrees

Note: arctan is the same as inverse tangent

1. 54

2. 63.5

3. 23

4. 1.80125

Answer: Just find the mean by using math

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

13^2=5^2+y^2

y^2=5^2-13^3

y^2=25-169

y^2=144

y=square root of 144

y=12

Answer:

12)

Step-by-step explanation:

For this, I used the Pythagorean Theorem, because I assumed that this was a right triangle. First of all, I first know that 13 would be the longest side in length. 13 x 13 = 169cm. Then I do the same with 5. 5 x 5 = 25cm. Finally, I subtract 25 from 169 to get 144. I then find the square root which would be 12. For more info, use the following formula:

a^2 + b^2 = c^2

Hope this helps!

-kiniwih426

Answer:

(3,13)

Step-by-step explanation:

Since Point A(3,1) and point B(3,19) is 18 units away we find 2/3's of 18 then add that to point A. 2/3's of 18 is 12 so the point we are looking for is (3,13)

(3,13) is the point that is 2/3 of the distance from point A(3, 1) to point B(3, 19).

Distance exists as a numerical measurement of how far apart objects or points exist. In physics or everyday usage, the distance may be direct to a physical length or an estimation established on other criteria. The distance from point A to point B exists sometimes represented as |AB|.

As the point A(3,1) and point B(3,19) is 18 units away,

2/3 X 18 then add that to point A

2/3 X 18 = 12 so the point we are looking for is (3,13)

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Answer:

The answer is 6.

Step-by-step explanation:

Since w = 6 you would input the 6 where the w value is. Your equation should look like this: 2(6)-6

First you multiple the 2 x 6 which equals 12. After you minus 12-6 which equals 6. Therefore your answer is 6.

Answer:

86 + 16.95 - 3 - 0042

86 + 16.95 = 102.95

102.95 - 3 - 0042 = 57.95

Answer:

[tex]\text{A. }3, \sqrt{27}, 6,\\\text{B. }8, 15, 17,\\\text{C. }5, 5, \sqrt{50}[/tex]

Step-by-step explanation:

All right triangles must follow the Pythagorean Theorem [tex]a^2+b^2=c^2[/tex] where [tex]c[/tex] is the hypotenuse of the triangle.

Verify:

[tex]3^2+\sqrt{27}^2=6^2\checkmark,\\8^2+15^2=17^2\checkmark,\\5^2+5^2=\sqrt{50}^2\checkmark[/tex]

Answer:

Option : A, B, C

Step-by-step explanation:

To make sure the lengths form sides of a triangle we use Pythagoras theorem:

Square of length of larger side = Sum of square of smaller sides.

[tex](A) 3, \sqrt{27}, 6: => 6^2 = 3^2 + (\sqrt{27})^2[/tex]

                        [tex]36 = 9 + 27\\36 = 36\\Satisfies \ Pythagoras \ Theorem[/tex]

[tex](B) 8, 15, 17 :=> 17^2 = 15^2 + 8^2[/tex]

                         [tex]289 = 225 + 64 \\289 = 289 \\Satisfies \ the \ condition[/tex]

[tex](C) 5, 5 , \sqrt{50} :=> (\sqrt{50})^2 = 5^2 +5^2\\[/tex]

                            [tex]50 = 25 + 25 \\50 = 50\\Satisfies \ the \ condition[/tex]

Answer:

f(x) → -∞ as x → -∞

f(x) → -∞ as x → +∞

Step-by-step explanation:

The given function is;

f(x) = -5x^(6) + 8x^(5) - 1/(x² - 9x)

Using long division to divide this as attached, we have;

f(x) = -5x⁴ - 37x³ - 333x² - 2997x - 26973 + (-242757x - 1)/(x² - 9x)

Thus, the leading coefficient here is -5 and the polynomial degree is 4.

Since the leading coefficient is negative and the degree of the polynomial is an even number, then we can say that the behavior of the polynomial is;

f(x) → -∞ as x → -∞

f(x) → -∞ as x → +∞

Answer:

445.5 feet

Step-by-step explanation:

Our first step is to get them to like terms. The only different term is inches. 480 inches = 40 feet.

We find volume by multiplying length x width x height. So 2.75 x 4.05 x 40 = 445.5 feet.