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musickatia [10]
3 years ago
9

Write a paragraph to help Miguel explain to Hannah how to complete the problems. Be sure to explain the process step-by-step (re

member he is helping a 4th grader) and don’t forget to explain how to find the common denominator.
1.) 14/15 multiplied by 5/2

2.) 24/60 divided by 8/15
Mathematics
1 answer:
Eddi Din [679]3 years ago
4 0
Steps in multiplying fractions. Remember: finding common denominator is not necessary in multiplying fractions. 
Common denominators are only needed in adding and subtracting fractions.

14/15 * 5/2 

Step 1. Multiply the numerators.
14 * 5 = 70
Step 2. Multiply the denominators
15 * 2 = 30
Step 3. Simplify the fraction.
70/30 = 2 10/30 = 2 1/3      

*the fraction 10/30 can still be simplified by dividing both numbers by 10. Hence, 1/3.

Steps in Dividing fractions.

24/60 ÷ 8/15

Step 1. Get the reciprocal of the 2nd fraction. Reciprocal means the reverse of the fraction. Simply swap the places of the numbers.

Reciprocal of 8/15 is 15/8.

Step 2. Multiply the 1st fraction to the reciprocal of the 2nd fraction. Follow steps in multiplying fractions.

24/60 * 15/8 = (24*15) / (60*8) = 360/480

Step 3. Simplify the fraction.
360/480 = 9 / 12 = 3/4

360 ÷ 40 =   9 ;   9 ÷ 3 = 3
480 ÷ 40 = 12 ; 12 ÷ 3 = 4
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Renna pushes the elevator button, but the elevator does not move. The mass limit for the elevator is 450 kg, but Renna and her l
pychu [463]

Answer:

620-37.4p\leq 450

Step-by-step explanation:

Let p be the number of identical packages.

We have been given that each package has a mass of 37.4 kg, so weight of p packages will be 37.4p.

The total mass of Renna and her load of identical packages is 620 kg.

We have been given that the mass limit for the elevator is 450 kg. This means that Renna can remove p packages from 620 kg such that 620 minus weight of p packages will be less than or equal to 450 kg.

We can represent this information in an inequality as:

620-37.4p\leq 450

Therefore, the inequality 620-37.4p\leq 450 can be used to determine the number of packages, p, Renna could remove from the elevator to meet the mass requirement.

3 0
3 years ago
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sophia earned $52 at her job when she workd for 2 hours. what was her hourly pay rate in hours per dollar?
statuscvo [17]

1 hour =$26, she has an hourly rate of 26 dollars


3 0
3 years ago
Please help me, due soon ​
Lady_Fox [76]

Answer:

  • A robot can complete 1 task in 5/48 hours.
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6 0
3 years ago
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write an eqution in slope intercept form for the line that has the given slope and y intercept: m=-5 and b=-10
Karolina [17]

Answer:

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Hope this helps

8 0
3 years ago
the record for the longest migration is held by the arts tern, which flies a round trip that can be as long as 20,000 miles per
attashe74 [19]

Answer:

<u>It will take an arctic tern 33.33 days or 33 days and 4 hours (rounded to the next hour) to cover a one-way flight of 10,000 miles</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Length of a round trip flight of an arctic tern = 20,000 miles ⇒ one-way flight = 10,000 miles

Miles per hour = 25

Hours of flight per day = 12

2. If the birds flies an average of 25 miles per hour and an average of 12 hours per day, how many days would it take for a one-way flight?

Let's calculate the number of miles per day, this way:

Miles per day = Miles per hour * Hours of flight per day

Miles per day = 25 * 12

Miles per day = 300

Now we calculate the number of days to cover 10,000 miles, a one-way flight from the Arctic to the Antarctic, as follows:

Number of days to cover 10,000 miles = 10,000/Miles per day

Number of days to cover 10,000 miles = 10,000/300

Number of days to cover 10,000 miles = 33.33

<u>It will take an arctic tern 33.33 days or 33 days and 4 hours (rounded to the next hour) to cover a one-way flight of 10,000 miles</u>

6 0
3 years ago
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