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Leya [2.2K]
2 years ago
5

Irene owns a bakery.For each cake,she spends 1/4 of an hour to make frosting and 2/5 hour to decorate.How many cakes can Irene b

ake in 3 1/4 hours?
Mathematics
1 answer:
aleksandrvk [35]2 years ago
8 0

The answer is 5 cakes.

EXPLANATION

To solve this, you work out that 1/4 of an hour is 15 mins 2/5 of an hour is 24 mins and that 3 1/4 hours is 195 mins.

Using these, we can work out that it takes 39 mins per cake (15 for frosting + 24 for decorating). When we divide 195 by this we get 5, meaning that the answer is 5 cakes.

Hope this helps!

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3 0
2 years ago
5. When looking at a map, a student realizes that Birmingham is nearly due west of Atlanta, and Nashville is nearly due north of
leonid [27]

Answer: 250 mi

Step-by-step explanation:

Here we can think in a triangle rectangle:

The distance from Birmingham to Atlanta is roughly 150 mi, and this is one of the cathetus.

And the distance from Birmingham to Nashville is roughly 200 mi, this is the other cathetus of the triangle.

Now, the distance from Atlanta to Nashville will be the hypotenuse of this triangle rectangle.

Now we can apply the Pythagorean's theorem:

A^2 + B^2 = H^2

Where A and B are the cathetus, and H is the hypotenuse:

Then:

H = √(A^2 + B^2)

H = √(150^2 + 200^2) mi = √(62,500) mi = 250 mi

Then the estimated distance from Atlanta to Nashville is 250 mi

6 0
2 years ago
HELP 10 POINTS AND BRAINLIEST The triangles below are similar. In each traingle there is a 53°angle and a right angle. What is t
Mrrafil [7]

Answer:

Step-by-step explanation:

Since both triangles are similar, we know this because they have 2 angles in common, they both have the same third angle.

To find the third angle, we use the angle sum. The sum of angles in a triangle will always equal 180 degrees. We are given a right angle which is 90 degrees and another angle, which is 53 degrees. Knowing this:

90 + 53 + x = 180 (I have chosen to call the third angle x)

when rearranging this we get

180 - 90 - 53 = x

now we solve

x = 37 degrees

Hope this helps,

Cate

8 0
2 years ago
Read 2 more answers
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Answer:

Option 1: It is better for him to be paid per catch, starting with 1 cent and doubling with each catch up to 110

Explanation:

If Jason were to be paid per catch given that he makes a total of 110 catches for the 2017 season in his new contract, he would make a total of :

0.01 × 2^109 = $6.4903711e+30(calculator result, means 6 then 30 digits after)

Therefore it is better for Jason to be paid per catch and not a flat fee of $2000000

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1 year ago
Sydney earns a yearly salary of $32,000. Sydney's salary is equal to 40% of her boss' yearly salary. What is the yearly salary o
Oliga [24]

Answer: $80,000

Step-by-step explanation:

40%___$32,000

100%___X=$80,000

(100*32,000)/40 = 80,000

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2 years ago
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