Greg drove 386 miles and used 20 gallons of gas.His car averaged how many miles per gallon?

Answers

Answer 1
Answer: 386 divided by 20 is 19.3 so Greg averaged 19.3 miles per gallon.
Answer 2
Answer: 19.3 because 386÷20 =19

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What is the length of the missing side of the quadrilateral shown if the perimeter is 5x^2+2x+1?

Answers

 I am thinking that the quadrilateral is not given to be a rhombus.

The perimeter is the sum of the 4 sides.

Adding 2x^2 + x -1 to 3x^2 -5x and then that sum to 4x^2 gives

9x^2 - 4x - 1 as the sum of the three given sides.

Subtract that from the given perimeter to get the missing side length.

5x^2 + 2x + 1 - (9x^2 -4x -1) =

-4x^2 + 6x + 2


What is the volume of the cargo area of the moving truck?A. 696 cubic feet

B. 756 cubic feet

C. 824 cubic feet

D. 888 cubic feet

Answers

Answer:

888sq. ft

Step-by-step explanation:

Volume of a rectangular prism = length * width * height

For the given diagram

area of the truck = area of the bigger + area of smaller prism

area of the bigger prism = 6 * 9 * 16

area of the bigger prism = 864sq. ft

Area of smaller prism = 2 * 2 * 6

Area of smaller prism = 24 sq. ft

Area of the figure = 864 + 24

Area of the figure = 888sq. ft

Drag an answer to each box to complete this paragraph proof.Given: Triangle ABC

Prove: m∠A=72°

Answers

Answer:

Step-by-step explanation:

By the triangle sum theorem, the sum of angles in a triangle is equal to 180°. Therefore, m∠A + m∠B + m∠C = 180°. Using the Substitution property

(6x)° + 90° + (x+6)° = 180°

To solve for x, first combine the terms to get (7x + 96) = 180°

Using the Subtraction property of equality,

7x = 84.

Then using the division property of equality x = 12.

To find the measure of angle A,

Use the subtraction property to get m∠A = 6(12)°.

Finally simplifying the expression gets m∠A = 72°.

(5x+6) over 2 = 3 (4x+12)

Answers

x= -66/19

Multiply 2 on both sides:

2*(5x+6)/2=3(4x+12)*2

Simplify:

5x+6=24x+72

Subtract 6 from both sides:

5x+6-6=24x+72-6

Simplify:

5x=24x+66

Subtract 24x from both sides:

5x-24x=24x+66-24x

Simplify:

-19x=66

Divide both sides by -19

-19x/-19=66/-19

Simplify:

x= -66/19

If h(x) = 6 – x, what is the value of (h h) (10)

–4
–2
10
16

Answers