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Slav-nsk [51]
3 years ago
15

Chanda can bake and decorate 72 cookies in 2.5 hours. At this rate,how long will it take her to bake and decorate 108 cookies?

Mathematics
1 answer:
In-s [12.5K]3 years ago
7 0

Hello there! A. 3.75 hours is your answer.

Okay, so lets start by finding the unit rate. To find the unit rate, we can use this formula: total ÷ time = unit rate.

total (72 cookies) ÷ time (2.5 hours) = unit rate. (how many cookies she can decorate and bake in an hour)

72 ÷ 2.5 = 28.8 cookies an hour

Now that we have this information, replace the 180 cookies in for the total number and use algebra to solve.

180 cookies ÷ x time = 28.8

Since 180 is a little more than 2 times 72, A would best fit since 3.75 is much closer to 2.5 than the other options. To check this, we can place 3.75 in for x in 180 ÷ x = 28.8.

180 ÷ 3.75 = 28.8.

So, this is your correct answer.

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3 years ago
Pls help this is my last problem and I need to pass this class?!?
densk [106]

Answer:

A = 50°

Step-by-step explanation:

(2x - 10) + (x + 30) + 70 = 180 \\ 2x + x = 180 + 10 - 30 - 70 \\ 3x = 90 \\ x =  \frac{90}{3}  \\ x = 30

Then

a = 2x - 10 \\ a = 2(30) - 10 \\ a = 60 - 10 \\ a = 50

8 0
2 years ago
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A trader purchased 1,000 books at the rate of $5.40 per book and spent $200 towards transportation. If he wants to earn a profit
Dmitriy789 [7]

Answer:

$6.3

Step-by-step explanation:

Cost of one book =  $5.40

cost of 1000 books = 1000* Cost of one book  =  $5.40*1000 = $5400

Transportation cost for all the books = $200

Thus, total cost for all the books = cost of 1000 books + Transportation cost for all the books  = $5400 + $200 = $5600.

Given , trader wants to earn a profit of 12.5%

thus, we find 12.5 % of total cost incurred by trader

12.5 % of total cost incurred by trader = 12.5/100 *  $5600. = $700

Thus, total profit for 1000 books will be $700

we know that

selling price = cost price + profit

therefore, in the given problem

selling price for 1000 books =  total cost for 1000 books + total profit

substituting the value as calculated above

selling price for 1000 books = $5600 + $700 = $6300

To find selling price for one book, lets divide LHS and RHS by 1000

selling price for 1000/100 books = $6300/1000 = $6.3

Thus, trader should sell each book at $6.3 to earn a profit of 12.5%.

4 0
3 years ago
What is 0.6 divided by 12.9?
a_sh-v [17]
0.6 / 12.9 = 0,047 (in approximation)
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A helicopter hovers 1050 feet above a small island.The figure shows that the ang;e of depression from the helicopter to point P
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Tan a = opposite side/adjacent side
tan 30 = 1050/ ?
1050/tan30=?
about 1818= ?
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3 years ago
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