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ella [17]
3 years ago
5

Lester’s car can go 15.4 miles on 1 gallon of gas. How far can he go on 0.7 gallon?

Mathematics
1 answer:
MAVERICK [17]3 years ago
7 0

Answer:

He can go 10.78 miles

Step-by-step explanation:

This problem can be solve by creating a proportion, knowing that 15.4 miles is to one gallon the same as "x" miles (our unknown) is to 0.7 gallons. This can be set in math terms as the equation that relates these two ratios of miles per gallon:

\frac{15.4\,miles}{1\,gallon} =\frac{x }{0.7\,gallon}

and to solve for the unknown number of mile, we multiply both sides of the equation by "0.7 gallon" in order to isolate our unknown:

\frac{15.4\,miles}{1\,gallon} =\frac{x}{0.7\,gallon}\\\frac{15.4\,miles\,*\,0.7\,gallon}{1\,gallon} =x \\x=10.78\,miles

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8 0
3 years ago
the strength of students in a school when increased by 8% becomes 2160. find the original strength of students in the school.
Leni [432]

Answer:

1987.2

Step-by-step explanation:

We can write a proportion to find the total amount in the choir using the information given. A proportion is two equivalent ratios set equal to each other. Since we know the strength of students increased by 8% to 2160 then the original was 92%.

\frac{92}{100}=\frac{y}{2160}

We will cross multiply the numerator of one ratio with denominator of the other. And then solve for y.

92(2160)=100(y)

198720=100y

y=1987.2

There are 1987.2 as the original strength of students.


6 0
3 years ago
To the nearest square inch, how much fabric will she use to make all three triangles? 139 square inches 172 square inches 417 sq
horrorfan [7]

Applying the trigonometric area formula, the amount of fabric she will need to make all the three triangles is: C. 417 square inches.

<h3>What is the Trigonometric Area Formula?</h3>

The trigonometric area formula is expressed as: Area = 1/2 × ab × sin(C).

Find the area of one of the triangles:

a = 17 in.

b = 17 in.

C = 74°

Area = 1/2 × (17)(17) × sin(74) ≈ 139 sq. in.

Area of the three triangles = 3(139) = 417 square inches.

Learn more about the trigonometric area formula on:

brainly.com/question/6279618

#SPJ4

3 0
1 year ago
Sam is 4 times as old as Allie. <br> Write an equation to model this situation.
Rzqust [24]
The answer is A. S= 4A. Sam = Allie x 4 
5 0
3 years ago
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Find the measure of each angle
dolphi86 [110]

Answer: x=36°

Step-by-step explanation:

The four interior angles of a quadrilateral always equal 360°, so:

(x+16)+(4x-8)+(4x-8)+x=360

Combine like terms:

360=10x+0

360=10x

36=x

8 0
3 years ago
Read 2 more answers
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