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iogann1982 [59]
3 years ago
13

The Ortiz family will travel from Indianapolis to Denver this summer. The driving distance between the two cities is 1,058 miles

. They need to find out about how much the gas will cost round trip. Their car gets about 20 miles per gallon. A. Write and solve an algrebraic equation to find out how many gallons of gas they will use. Explain your steps. B. Write and solve an algebraic equation to find out how many miles they will travel.
Mathematics
1 answer:
lakkis [162]3 years ago
7 0
<span>A. Write and solve an algrebraic equation to find out how many gallons of gas they will use. Explain your steps.

let x = gallons of gas they will use
    y = distance traveled

x = y/20 
x = 1058/20 = 52.9 gallons of gas

B. Write and solve an algebraic equation to find out how many miles they will travel.

</span>let x = distance traveled
    y = gallons of gas used

x = 20y
x = 20(52.9) 
x = 1058 miles

Hope this helps. Have a nice day.
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A cylinder has a height of 7 in. and a diameter of 6 in. What is the volume of the cylinder to the nearest cubic inch? V = 66 in
Natalija [7]

Answer:

The answer is

<h2>V = 198 in³</h2>

Step-by-step explanation:

Volume of a cylinder = πr²h

where

h is the height

r is the radius

From the question

h = 7 in

To calculate the radius from the diameter we use the formula

radius = diameter/2

From the question

diameter = 6

radius = 6/2 = 3 in

Volume of the cylinder is

(3)²(7)π

= 9(7)π

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We have the final answer as

<h3>V = 198 in³ to the nearest cubic inch</h3>

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6 0
2 years ago
Determine whether each ordered pair is a solution of the system.
Stolb23 [73]

According to the system:

5 – 7x + 2y² = -10

1 – 5x – 2y = -22

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a) No ; (4, 6) is not a solution to the

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b) No ; (6, 4) is not a solution to the system. This point does not touch either equation.

Solutions:

( \frac{122 - 3 \sqrt{101}}{25}, \frac{ - 7 +3 \sqrt{101}}{10}) ≈ (3.674, 2.315) \\ ( \frac{122  +  3 \sqrt{101}}{25}, \frac{ - 7  - 3 \sqrt{101}}{10}) ≈ (6.086, -3.715)

x = ( 122 ∓ 3√101 ) / 25 ≈ 3.674 or 6.086

y = ( -7 ± 3√101 ) / 10 ≈ 2.315 or -3.715

8 0
3 years ago
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12345 [234]

Answer:

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Step-by-step explanation:

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x = 2x + 1

Solving for x, we get x = -1

Plug this value of x back into any of the two equations to get y: y = 2 * (-1) + 1 = -1.

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Hope this helps!

8 0
3 years ago
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