Mary drove 380 miles using 14 gallons of gas. at this rate, how many gallons of gas would she need to drive
418 miles?

She will need 15.4 gallons to drive 418 miles

Step-by-step explanation:

Step 1

Consider the expression below;

T=G×N

where;

T-total miles traveled

G-number of miles per gallon

N=quantity of gas consumed

This can also be expressed as;

Total miles=number of miles per gallon×number of gallons

In our case;

T=380 miles

G=unknown

N=14 gallons

replacing;

380=G×14

14 G=380

G=380/14

G=27.14 miles per gallon

Step 2

Using the same expression;

T=G×N

where;

T=418 miles

G=27.14 miles per gallon

N=unknown

replacing;

418=27.14×N

27.14 N=418

N=418/27.14

N=15.4 gallons

She will need 15.4 gallons to drive 418 miles

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).