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kodGreya [7K]
3 years ago
13

Sami's boss asked him to cut 78⁄5 feet of rope to tie down a load on a truck. How much rope should Sami cut? A. 151⁄5 feet B. 16

feet C. 153⁄5 feet D. 152⁄3 feet
Mathematics
2 answers:
Paladinen [302]3 years ago
7 0

Answer:

The correct answer is 15\frac{3}{5} feet.

Step-by-step explanation:

The length of the rope Sami's boss asked him to cut is \frac{78}{5} feet.

Considering the given options, we need to rewrite the given fraction as a mixed number.

78=15\times5+3

This means that, the number of times 5 will divide 78 exactly, is 15, leaving a remainder of 3.


Hence, \frac{78}{5}=15\frac{3}{5}.


Therefore the correct answer is C.




Vitek1552 [10]3 years ago
5 0

how many times does 5 go into 78

78/5

it goes 15 times with  3 left over  (15*5 = 75  75+3 = 78)

15 3/5 ft

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A mill processes 27 tons of flour in 3 hours. How many tons of flour can the mill process in 8 hours if the rate of production s
Delvig [45]
There are a few ways you can go about solving this question. One way is to use the given information to find how many tons of flour can be processed in one hour. If 27 tons can be processed in 3 hours, we can do 27 divided by 3 to find that 9 tons of flour can be processed per hour. Then, if we want to see how many tons of flour can be processed in 8 hours, we can multiply 9 tons by 8 hours to get a total of 72 tons of flour.

I hope this helps.
5 0
2 years ago
30% of number A is 10 more than 20% of number B. 30% of number B is 35 more than 20% of number A. Find the numbers A and B.
anygoal [31]

Answer:

A = 76.85

B =65.28

Step-by-step explanation:

(30/100)A = 10 + (20/100)B

0.3A - 0.2B = 10 ...... equation (i)

(30/100)B + 35 = (20/100)A

0.2A - 0.3B = 35 ........ equation (ii)

From equation (i)

0.3A = 10 - 0.2B

A = (10 - 0.2b) / 0.3

A = 33.33 - 0.67B ........equation (iii)

Put equation (iii) into equation (ii)

0.2(33.33 - 0.67B) - 0.3B = 35

6.67 - 0.134B - 0.3B = 35

0.434B = 35 - 6.67

B = 28.33 / 0.434

B = 65. 275 = 65.28

Put B = 65.28 into equation (i)

0.3A - 0.2B = 10

0.3A - 0.2(65.28) = 10

0.3A - 13.056 = 10

0.3A = 10 + 13.056

A = 23.056/ 0.3

A = 76.85

5 0
3 years ago
Laura and Martin obtain a 30-year, $180,000 conventional mortgage at 10.0% on a house selling for $210,000. Their monthly mortga
Westkost [7]

Answer:

total payment = $563,760

Interest = $383,760

Principal part = $66

Step-by-step explanation:

(a) total payment:

n = 30 years = 360 months

monthly payment = $1,566

Total payment = $1,566 * 360 months = $563,760

(b) interest:

Total payment = $563,760

Principal = $180,000

Total payment = Principal + Interest

Interest = Total payment - Principal

Interest = $563,760 - $180,000 = $383,760

(c) part of first payment applied to the principal:

First payment = $1,566

Principal = $180,000

Interest rate = 10% yearly = 10% / 12 = 0.8333% = 0.008333 monthly

Monthly interest = Principal * Interest rate = $180,000 * 0.008333 = $1,500

Principal part = $1,566 - $1,500 = $66

Hope this helps!

4 0
3 years ago
Answer....... (-1)^3×(-1)^2
8090 [49]
Hello there!

(-1)^3 * (-1)^2

Use the distributive property

= (-1)(-1)(-1)* (-1)(-1)

= (-1)^5

= -1


I hope this helps!
3 0
2 years ago
Adding and Subtracting Fractions Solve each problem. Write your answer as a mixed number(if possible) 1. 2 1/9 - 7/6= 2. 2/3 + 2
AleksandrR [38]
1) 1 1/6
2) 1  1/6
4) 5  1/ 18

hope you got your answer i didn't know what number 3 was so i did the rest


5 0
2 years ago
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