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sladkih [1.3K]
2 years ago
9

Felix and Oscar own a pastry shop. Working alone Felix can decorate 8 dozen cookies in 90 minutes. Oscar, on

Mathematics
1 answer:
Bingel [31]2 years ago
8 0

<em>Working together</em>, decorating 16 dozens of cookies will take 103 minutes.

<u>Let's calculate theor individual work rate</u> :

  • Rate = 1/ time

Felix's rate = 1/90

Oscar's rate = 1/120

Combined rate = 1/90 + 1/120 = (4 + 3) / 360 = 7/360

<u>Time taken for both of the to decorate 8 dozens</u> :

Reciprocal of their combined rate = 1 ÷ (7/360) = 51.428571 minutes

<u>Hence, the time taken to decorate 16 dozens will be</u> :

(16/8) × 51.428571 = 102.857 = 103 minutes (nearest while number).

Learn more :brainly.com/question/18796573

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The sum of Sally and Beth's age is 60. Six years ago, Sally was 3 times as old as Beth. What are their present ages?
andrew-mc [135]
It's quite simple. Look:

Lets let S- be the age of Sally and B- can be the age of Beth

S+B=60
S-6=3(B-6)

S-6=3B-18
S=3B-18+6
S=3B-12

3B-12+B=60
4B=60+12
4B=72
B=72/4
B=18

B=60-18
B=42

The ages are (B)18 and (S)42

Hope this helps!! :)
6 0
2 years ago
6. Find all missing angles m&lt;1 m&lt;2 m&lt;3​
masha68 [24]

Answer:

1. 128

2. 52

3. 47

4. 133

5. 81

Step-by-step explanation:

1. <1 and <52 are same side interior angles, therefore supplementary. So they should add up to equal 180, this means that <1 is 180 - 52. Solve to get <1 is 128

2. <2 is an alternate interior angle to <52, this means that they are congruent. Since they are congruent, they have the same value of 52.

3. <3 is an alternate interior angle to <47, so they are congruent, this means that they both have a value of 47

4. <4 is supplementary to <3 so you can say that <4 is equal to 180 - 47. Solve this to get <4 is 133

5. <5, <52, and <47 are supplementary when you combine all three. So you can create an equation that says <5 is equal to 180 - 52 + 47. This gives you that angle 5 is 81.

6 0
2 years ago
Which property is represented by 5+(-8)=-8+?
wariber [46]
Identity because the others don’t subtract
3 0
2 years ago
Theresa pays 9.56 for 4 pounds of tomatoes What is the cost 1 pound of tomatoes
o-na [289]
The cost of one is 2.39
8 0
3 years ago
Solve the following proportion for u. (IN THE PICTURE)<br><br>round to the nearest TENTH.​
FromTheMoon [43]

Answer:

4.9

Step-by-step explanation:

Use the butterfly method.

13*13 = 8*u

39 = 8u

(divide by 8)

4.875 = u

4.875 is about 4.9

7 0
2 years ago
Read 2 more answers
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