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stellarik [79]
2 years ago
10

Marley has read 112.5 pages of a book. By the end of today, she plans to have read at least a total of 360 pages. If she reads 4

5 pages per hour, what is the minimum amount of time she should devote to reading today? hours and minutes
Mathematics
1 answer:
Vinvika [58]2 years ago
6 0
5.5 hours.  5 hours and 30 minutes

The total pages she wants to finish (360) minus the pages she has read (112.5) equals to 247.5
Then divide it by the 45 (the rate of pages she reads per hour) 
5.5 hours.

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Jayden has some dimes and some quarters. He has at most 25 coins worth at least $4.60 combined. If Jayden has 7 dimes, determine
Y_Kistochka [10]

Answer:

Step-by-step explanation:

A dime is worth 10 cents. Converting to dollars, it becomes 10/100 = $0.1

A quarter is worth 25 cents. Converting to dollars, it becomes 25/100 = $0.25

Let x represent the number of dimes that Jayden has.

Let y represent the number of quarters that Jayden has.

Jayden has some dimes and some quarters. He has at most 25 coins. It means that

x + y ≤ 25

The coins worth at least $4.60 combined. It means that

0.1x + 0.25y ≥ 4.6 - - - - - - - - - - 1

If Jayden has 7 dimes, then

7 + y ≤ 25

y ≤ 25 - 7

y ≤ 18

Substituting x = 7 into equation 1, it becomes

0.1 × 7 + 0.25y ≥ 4.6

0.7 + 0.25y ≥ 4.6

0.25y ≥ 4.6 - 0.7

0.25y ≥ 3.9

y ≥ 3.9/0.25

y ≥ 15.6

All possible values for the number of quarters that he could have would be

15.6 ≤ y ≤ 18

6 0
2 years ago
Which triangle’s unknown side length measures Start Root 53 End Root units?
Marianna [84]

Answer:

47 is your answer

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
20 points plz just help me. Explain how you would use fraction bars to find the quotient of StartFraction 10 Over 12 EndFraction
Katarina [22]

Answer:

5/4

Step-by-step explanation:

(10/12) / (4/6)

Reduce the fractions:

(5/6) / (2/3)

Multiply by the reciprocal:

(5/6) × (3/2)

15/12

Reduce:

5/4

7 0
2 years ago
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An accounting machine operator wanted to divide an 85-minute job between two identical machines so that one machine would take o
Lubov Fominskaja [6]
To find how much time the machine that took the longer job is, you would create an equation in terms of X, the amount of time it takes one of the machines.

Please see the attached picture for the work.

51 minutes is the longer time.
34 minutes for the other machine.

6 0
2 years ago
2. During typhoon Ambo, PAGASA tracks the amount of accumulating rainfall. For the first three hours of typhoon, the rain fell a
zmey [24]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following information:

First three hours of typhoon: rate of Rainfall. = 25mm per hour

Typhoon slows down for an hour : then Rainfall began again at a constant rate of 20 mm per hour for the next 2 hours

Piecewise function which models Rainfall ad a function of time

Amount of Rainfall as a function of time = f(t)

f(t) = 25t ; if t≤ 3

When typhoon slowed down for an hour :

f(t) = 0;

f(t) = 25*3 ; for t ∈ (3, 4)

Then Rainfall at a constant rate of 20mm for another 2 hours

f(t) = (25 *3) + 20(t - 4) ; for t ∈ (5, 6)

5 0
2 years ago
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