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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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A circle has an area of 200.96 units2 and a circumference of 50.24 units. If the radius is 8 units, what can be said about the r
AleksandrR [38]

Answer:

C. The ratio of the area to the circumference is equal to half the radius.

Step-by-step explanation:

The area of a circle can be written as;

Area A = πr^2

The circumference of a circle is;

Circumference C = 2πr

Using the formula, w can derive the relationship between the two variables.

A = kC

k = A/C

Substituting the two formulas;

k = (πr^2)/(2πr) = r/2

So,

A = (r/2)C

A/C = r/2

The ratio of the area to the circumference is equal to half the radius.

Given;

Area = 200.96

Circumference = 50.24

Radius = 8

To confirm;

k = r/2 = 8/2 = 4

Also,

A/C = 200.96/50.24

A/C = 4

6 0
3 years ago
Hi can someone check my answers please? thanks, :).
gregori [183]
The 3rd answer is wrong, the answer is 19.
The 5th answer is wrong, the answer is -9.
The 7th answer is wrong, the answer is 8.
The 11th answer is wrong, the answer is 2.
The 12th answer is wrong, the answer is 10.

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5 0
2 years ago
Read 2 more answers
HOW DO YOU FIND THIS AGAIN PLS HELP!
strojnjashka [21]
<h2>28 units²</h2><h2>____________________</h2>

<u>Step-by-step explanation:</u>

length = 8 units

breadth = 3.5 units

area = length × breadth

= 8 × 3.5

= 28 units²

<h2>____________________</h2><h2>FOLLOW ME</h2>
5 0
2 years ago
Read 2 more answers
From the top of a light house 60 meters high with its base at sea level, the angle of depression to a boat is 15o. What is the d
mr_godi [17]

Answer:

Distance between boat and light house = 223.88 meter (Approx.)

Step-by-step explanation:

Given:

Height of light house = 60 meters

Angle of depression to boat = 15°

Find:

Distance between boat and light house

Computation:

Using trigonometry application:

Tanθ = Perpendicular / Base

Tan 15 = Height of light house / Distance between boat and light house

0.268 = 60 / Distance between boat and light house

Distance between boat and light house = 60 / 0.268

Distance between boat and light house = 223.88 meter (Approx.)

4 0
2 years ago
Simplify the expression using properties of operations. (−r−5)−(−2r−4)
Pachacha [2.7K]

Answer:r-1

Step-by-step explanation:

(-r-5)-(-2r-4) Or (-r-5)-(-2r-4)

-r+-5+2r+4. -r-5+2r+4

r-1 r-1

You bring down the first Parentheses Then have to multiply the (implied 1) -1•-2=2 and -1•-4=4 and do the math regularly

8 0
2 years ago
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