A company rents out 15 food booths and 22 game booths at the county fair. The fee for a food booth is $175 plus $8 per day. The fee for a game booth is $80 plus $7 per day. The fair lasts for d days, and all the booths are rented for the entire time. Enter a simplified expression for the amount, in dollars, that the company is paid.​

Given that

PQ || AB

CP = x+3

PA = 3x+19

DC = x+3

CA = x

QB = 3x+4

We know that

By Basic Proportionality Theorem,

CP / PA = CQ / QB

On substituting these values in the above formula

⇛ (3x+19) / (x+3) = (3x+4) / x

On applying cross multiplication then

⇛ x(3x+19) = (3x+4)(x+3)

⇛ 3x²+19x = 3x(x+3)+4(x+3)

⇛ 3x²+19x = 3x²+9x+4x+12

⇛ 3x²+19x = 3x²+13x+12

⇛ 3x²+19x-3x²-13x = 12

⇛ (3x²-3x²)+(19x-13x) = 12

⇛ 0+6x = 12

⇛ 6x = 12

⇛ x = 12/6

⇛ x = 2

∴ , x = 2

Answer: The value of x for the given problem is 2

Additional comment:

Basic Proportionality Theorem

" A line drawn parallel to the one side of a triangle intersecting other two sides at two different points, then the line divides the other two sides in the same ratio".

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Answer:

f(-5) = 19

Step-by-step explanation:

f(x) = -3x + 4

f(-5) = -3(-5) + 4

f(-5) = 15 + 4

f(-5) = 19

Answer: The answer is 19

Step-by-step explanation: We know that the X value is -5 so we substitute that in for -3x to get (-3 x -5) We end up geting 15, next we add 4 and get 19. Basically the answer is 19. Have a great day.

Forgot to add the F(-5) sorry.

x³ + 6x² + 4x + 24

= x² (x + 6) + 4 (x + 6)

= (x² + 4) (x + 6)

Answer:

fortnit 90s

Step-by-step explanation:

crank and c until u get too 90 height

Answer:

a) 43 - 15

b) 28

Answer: The answer is X(X^2 - 48).

[tex]\large\huge\green{\sf{Given:-}}[/tex]

[tex]\large\huge\green{\sf{ToFind:-}}[/tex]

[tex]\large\huge\green{\sf{FormulaRequired:-}}[/tex]

[tex]\large\huge\green{\sf{Solution:-}}[/tex]

➡Area of rectangle= lxb

➡Area of rectangle= (2x - 4) x (3x) cm²

➡Area of rectangle= 6x²-12x

Answer:

Not a function

Step-by-step explanation:

There are two points that correspond to the same variable

Hope this helps

Answer:

not a function

Step-by-step explanation:

There are two points that have the same x and  different y values

This would fail the vertical line test.

It is false both nations will benefit if the terms of trade are  1 peanut = 3 corn.

The comparative advantage refers to the ability of one company or nation to produce something at a lower cost. In this case, the U.S. can produce peanuts at a lower cost than Canada.

No, due to their differences in the amounts of units produced and their comparative advantage both nations will not benefit from this trade.

Learn more about comparative advantage in: https://brainly.com/question/4461081

Answer: Alice

Step-by-step explanation: Alice won because she started furthest From the starting line.

Answer: Her estimate is incorrect because she has to have 25 trucks to be able to ship all her boxes.

Step-by-step explanation: Divide 539 by 22 and if there is a remainder then you need to have one more because you cant take half a truck.

539/22=24.5. Since there is a remainder, you will need 25 trucks total

Answer:

The measure of the missing angle is 25 degrees.

Answer:93 grams Zinc

Step-by-step explanation:3 Zinc : 13 Copper

x 31       x 31            

93 Zinc,     403 Copper

or

set up a proportion, cross multiply, and solve for the variable:

3(403) = 13(x)

3(31) = x

93 = x

Answer:

105⁰

Step-by-step explanation:

Please refer to the attachment.

Hope it helps :)

[tex]\dfrac{4}{3x-5} + \dfrac{x+2}{x-1}\\\\\\=\dfrac{4(x-1) + (x+2)(3x-5)}{(3x-5)(x-1)}\\\\\\=\dfrac{4x-4 + 3x^2 -5x +6x -10}{(3x-5)(x-1)}\\\\\\=\dfrac{3x^2 +5x-14}{(3x-5)(x-1)}[/tex]

Answer:

-7(4-x)≥-18+7x

-28+7x≥-18+7x

7x-7x≥-18+28

x≥10

Step-by-step explanation:

Answer:

Happy

Step-by-step explanation:

Answer:

the triangle always equals 180.

so divide it right?

Refer to the attachment

Answer:

HOPE THIS HELPS

Step-by-step explanation:

[tex]x^{2}[/tex]-14x-32 =(X+2)(X-16)

A=1

B=2

C=1

D=-16

[tex]\qquad[/tex] ☀️So First – we have to find the perimeter of the frame on which the glue is applied and the length of the ribbon used by Miguel. The perimeter of the frame is the total length of ribbon Miguel uses.

[tex]\qquad[/tex]____________________

According to the question:-

[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow Perimeter _{(The \:frame) }= The\: total\: length\: of \:ribbon}[/tex]

[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow Perimeter _{(The \:frame) } = 2 ( length\: of\: the \:frame + breadth \:of \:the\: frame )}[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(The\: frame) } = 2 ( 5 + 8 ) [/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(The \:frame) }= 2 ( 5 ) + 2 ( 8 ) [/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(The\: frame) }= 10 + 16 [/tex]

[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow Perimeter _{(The \:frame) }= 26\: inch} [/tex]

Therefore,

[tex]\qquad[/tex]____________________

The Answer will be 26 inch

Answer:

Hypotenuse: 20√2

Acute Angle measurements: 45

Step-by-step explanation:

Note that the two leg sides are both 20 measurements, suggesting that it is an isosceles triangle.

By definition of a isosceles triangle, the angles will be 45-45-90, and the sides will follow the 1-1-√2 rule, in which the 1 stands for the legs, and the √2 stands for the hypotenuse.

Note that the leg side measures 20. Multiply:

20 * √2 = 20√2.

Hypotenuse: 20√2

Acute Angle measurements: 45

Answer:

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Adam receives 13.762 euros

One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction.

Given

Adam normally earns 8.32 an hour.

1. 832 * 6 = 10.992 for 6 hours

Adam will be payed = 8.32 *1/3 = 2.77

Total payment = 10.992 + 2.77 = 13.762

To learn more about division refer to:

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Answer:

D) r=-0.9

Step-by-step explanation:

Recall that when [tex]|r|[/tex] is closest to 1, the stronger the correlation between the variables. In this case, while [tex]|0.8|=0.8[/tex], [tex]|-0.9|=0.9[/tex] is actually larger and shows a stronger negative correlation between random variables. Therefore, D is correct.

Answer: 3.14159

Step-by-step explanation:

There is no answer to this because:

Any digit repeating like that would usually be ?/9

Example: 0.1 repeating = 1/9

                0.2 repeating = 2/9

                0.8 repeating = 8/9

But 0.9 repeating? There should not be a fraction for that.

If you want to round up to 1, you can.

Answer:

I FOUND IT ACTUALY    22.857 lacs   $2,285,714

Step-by-step explanation:

do the formula

is/of = %/100

[tex]\frac{17.5}{100} = \frac{4}{x}[/tex]

100*4=400

400/17.5=22.857

Answer:

Total worth of assets of the man = 22.86 lacs

Step-by-step explanation:

Let the man's assets = 100%

Given to the wife = 50%, so leftover 50%

From it given to 4 sons = 15%, so leftover 35%

From it given equally to 2 daughters, so each daughter gets 35% / 2 = 17.5%

17.5% = 4 lacs

100% = 4 x (100/17.5) = 22.8571

Round off to 2nd decimal place = 22.86 lacs