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timurjin [86]
2 years ago
7

A baker can make 120 cupcakes in 2 hours. At that rate, how many cupcakes can he make in 3.5 hours? *

Mathematics
1 answer:
Valentin [98]2 years ago
4 0

Answer:

210

Step-by-step explanation:

first I took 120 and divided by four to show how many cupcakes he can make in thirty minutes (.5 of an hour). this was 30. the reason we divided by four is because in two hours theres four halves.

120÷4=30 for half an hour

30x2=60 this is how many cupcakes he can make in one hour

since we already know how many he makes in two hours we're going to use that

120+60=180 (three hours)

120+60=180 (three hours)180+30 (half an hour) =210

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Step-by-step explanation:

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Read 2 more answers
4. What are the values of x and y? HELP PLEASE
Sergeeva-Olga [200]
The bottom answer is correct. I had some trouble with this so I had to find x and y in separate parts.

TO FIND X
notice that the top triangle and bottom triangles are similar, meaning if you multiple all three sides of one by a specific number, it becomes the same size as the bottom triangle.

17 x n = 8, therefore n=8/17
8 x n = X, therefore X=64/17

For some reason, this does not give a correct value for Y, so I had to use trig 

TO FIND Y 

Notice that the angle DAB is the same as DBC (lets call this angle Ø)

Using trig rule, we know that the cos of an angle is equal to the adjacent side divided by the hypotenuses.

We can now form some equations:

cosØ = 15/17 (from the top triangle)
cosØ = 8/Y      (from bottom triangle)
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B

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