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3 years ago

Billy is going on a road trip. The amount of gas g (in gallons) left in his tank varies inversely with the amount

Mathematics

1 answer:

lawyer [7]3 years ago

3 0

Answer:

The equation to represent the situation is $10 = \frac{k}{4}$

Step-by-step explanation:

It is given that:

Amount of gas left in tank varies inversely with the amount of the time.

Let,

g represents the gas

t represents the time

g ∝ 1/t

$g = \frac{k}{t}$

Here, k represents the constant of proportionality.

Putting g = 10 and t = 4 in the equation

$10 = \frac{k}{4}$

Therefore,

The equation to represent the situation is $10 = \frac{k}{4}$

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drek231 [11]

Sum of square of two sides must be equal to the square of third side.

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3 years ago

Victoria has $200 of her birthday gift money saved at home, and the amount is modeled by the function h(x) = 200. She reads abou

svlad2 [7]

Solution :

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According to the function,

s(x) = (1.05)x - 1

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2 years ago

A square pyramid and a cube have the same surface area don’t of each side of the base of the Square pyramid is 10 feet the width

o-na [289]

Answer:

The lateral height of the square pyramid is $5.8\ ft$

Step-by-step explanation:

step 1

Find the surface area of the cube

The surface area of the cube is equal to

$SA=6b^{2}$

where

b is the length side of the cube

w have

$b=6\ ft$

substitute

$SA=6(6^{2})=216\ ft^{2}$

step 2

Find the lateral height of the square pyramid

we know that

the surface area of the square pyramid is equal to

$SA=B+4(\frac{1}{2}bh)$

where

B is the area of the base

b is the base of the lateral triangle (base of the square)

h is the lateral height of the square pyramid

$B=(10^{2})=100\ ft^{2}$

$SA=216\ ft^{2}$ -----> is the same surface that the cube

$b=10\ ft$

substitute the values and solve for h

$216=100+4(\frac{1}{2}*(10)*h)$

$216-100=20h$

$h=116/20=5.8\ ft$

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3 years ago

Solve for x in the equation x2-12x+59=0.

Svetllana [295]

I think it is -5.9. Sorry if I'm wrong.

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2 years ago

Read 2 more answers

(x + 1)^2 -8 (x-1 +16)

tia_tia [17]

Answer: x2−6x−119

Step-by-step explanation:

provided in the screenshot below

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2 years ago