A pool charges a membership fee of $40 for the summer and $1 for each visit. A different pool charges no membership fee but it costs $5 for each visit. How many visits would the two pools cost the same amount? A)40 visits B)10 visits C)5 visits D)they'll never cost the same amount

B) 10 visits

Step-by-step explanation:

Let the number of visits be x.

Pool A cost: 1x + 40 = x + 40

Pool B cost: 5x

Set the two costs equal and solve for x.

x + 40 = 5x

Subtract 5x from both sides. Subtract 40 from both sides.

-4x = -40

Divide both sides by -4.

x = 10

B) 10 visits

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.