2 years ago

Caleb's car used 8 gallons to travel 144 miles. How far can he travel on 20 gallons

Mathematics

1 answer:

V125BC [204]2 years ago

7 0

Answer:

He will travel 360 miles.

Step-by-step explanation:

Divide 144 by 8. Then multiply your answer by 20.

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What is the measure of PSQ in degrees? Angle PSR measures 99°.

11111nata11111 [884]

we know that

Step 1

Find the value of x

m∠PSR= $99$ °

m∠PSR= $(3x+18)+(9x-27)$ °

$99 =(3x+18)+(9x-27) \\ 99=12x-9\\ 12x=108\\ x=9degrees$

Step 2

Find the value of m∠PSQ

m∠PSQ= $(3x+18)$

m∠PSQ= $(3*9+18)$

m∠PSQ= $45$ °

therefore

the answer is the option

C) 45 degrees

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Answer:

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Step-by-step explanation:

we know that

The area of a square is

$A=b^2$

where

b is the length side of the square

Let

x ---> the length of the original square

The area of the original square is

$A=x^{2}\ in^2$

The length of the smaller square is

$b=(x-3)\ in$

The area of the smaller square is

$A=(x-3)^2\ in^2$

The area of the smaller square is 1/4 the area of the original square

$(x-3)^2=\frac{1}{4} x^{2}$

solve for x

$x^2-6x+9=\frac{1}{4} x^{2}$

Multiply by 4 both sides

$4x^2-24x+36=x^{2}$

$4x^2-x^2-24x+36=0\\3x^2-24x+36=0$

Solve the quadratic equation by graphing

using a graphing tool

x=2, x=6

see the attached figure

The solution is x=6 in

Remember that the solution must be greater than 3 inches (because Stacey cuts 3 inches off of the length of the square and 3 inches off of the width)

therefore

The side length of the original square was 6 inches

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A) He wanted to create zero pairs on the left side of the equation to get a positive coefficient of x on the right side

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B=kt
constant is k
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An airline gathers data on late departures and early arrivals over a month. It finds that the probability of a late departure is

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Answer:

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Step-by-step explanation:

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