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3 years ago

you know that five pizzas will feed 20 people. how many pizzas do you need to order to feed 88 people?

Mathematics

1 answer:

uysha [10]3 years ago

5 0

5 pizzas feeding 20 people means 1 pizza to feed 4 people. 88/4=22 therefore 22 pizzas are needed to feed 88 people.

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Factor each trinomial. Then match the polynomial (term) on the left with its factored form (definition) on the right.

meriva

X² - 8x - 20 factors to give option
B) (x - 10)(x + 2)
x² + 8x - 20 factors to give option
A) (x - 2)(x + 10)
x² - x - 20 factors to give option C) (x - 5)(x + 4)
and x² - 9x - 20 is option D) Prime.

I hope this helps!

8 0

3 years ago

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What is the surface area of the square pyramid?

Pavel [41]

The base is a square, therefore all the sides of the base are the same. This also means all the triangles have the same area.

10*10 = 100 cm^2 for the base

0.5*10*12 = 60 cm^2 for each triangle

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3 0

3 years ago

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Three times a number n plus 16

HACTEHA [7]

Answer:

3n+16

Step-by-step explanation:

three times: (3) a number n +16

(3)n+16 or 3xn+16

3n+16

4 0

3 years ago

The Coopers own two vehicles, a mini-van and sedan. The following functions represent the resale value of both cars, in thousand

velikii [3]

Answer:

$h(x) = 57(0.8)^x$

Step-by-step explanation:

Given

$f(x) = 32(0.8)^x$

$g(x) = 25(0.8)^x$

Required

A function that represents the total resale value of the two vehicles

To do this, we simply add up the functions

$h(x) = f(x) + g(x)$

$h(x) = 32(0.8)^x + 25(0.8)^x$

Factorize

$h(x) = (32 + 25)(0.8)^x$

$h(x) = 57(0.8)^x$

6 0

3 years ago

a circle has a center (3,5) and a diameter AB. The coordinates of A are (-4,6). what are the coordinates of B?

Kruka [31]

Find the length of the radius.

$r= \sqrt{(3-(-4))^2+(5-6)^2}
\\r = \sqrt{7^2+(-1)^2}
\\r= \sqrt{50} 
\\ r=5 \sqrt{2}$

Find the length of the diameter.

d = 2r = 2 × 5√2 = 10√2

Point B must lie on a line AC, where C is a center of a circle.
Find equation of line AC.
A(–4, 6), C(3, 5)

$y-y_1= \frac{y_2-y_1}{x_2-x_1}(x-x_1)
\\y-6= \frac{5-6}{3-(-4)} (x-(-4))
\\y-6=- \frac{1}{7} (x+4)
\\7y-42=-x-4
\\x+7y-38=0$

The distance from B(x, y) to C(3, 5) is 5√2.
$\sqrt{(x-3)^2+(y-5)^2}=5 \sqrt{2} 
 \\(x-3)^2+(y-5)^2=(5 \sqrt{2})^2 
\\(x-3)^2+(y-5)^2=50$

Solve system of equations.
$x+7y-38=0
\\(x-3)^2+(y-5)^2=50
\\
\\x=38-7y
\\(38-7y-3)^2+(y-5)^2=50
\\(35-7y)^2+(y-5)^2=50
\\1225-490y+49y^2+y^2-10y+25-50=0
\\50y^2-500y+1200=0
\\y^2-10y+24=0
\\y^2-6y-4y+24=0
\\y(y-6)-4(y-6)=0 \\(y-6)(y-4)=0 \\y_1=6,y_2=4
$

$x_1=38-7y_1=38-7 \times 6 = 38-42=-4
\\x_2=38-7y_2=38-7 \times 4 = 38-28=10
$

Point B could have coordinates
$\\
\\(x_1,y_1)=(-4,6),(x_2,y_2)=(10,4)
$

But (–4, 6) are the coordinates of point A.
Therefore, point B has coordinates (10,4).

8 0

3 years ago

you know that five pizzas will feed 20 people. how many pizzas do you need to order to feed 88 people?​

you know that five pizzas will feed 20 people. how many pizzas do you need to order to feed 88 people?