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Veseljchak [2.6K]
2 years ago
10

Find the GCF of 72 and 81. Show your work. (3 points) Part C: Using the GCF you found in Part B, rewrite 72 + 81 as two facto

rs. One factor is the GCF and the other is the sum of two numbers that do not have a common factor. Show your work. (4 points)
Mathematics
1 answer:
malfutka [58]2 years ago
7 0

Answer: B. GCF of 72 and 81 is 9.

C. 72+81 = 9(8+9)

Step-by-step explanation:

The greatest common factor of two or more numbers is the highest number that divides all of them.

Given numbers : 72 and 81

Prime factorization of 72 and 81:

72 = 2 x 2 x 2 x 3 x 3

81= 3 x 3 x 3 x 3

GCF(72,81) = 3x 3 =9

Consider 72+81 = 9 x 8 + 9 x 9     [72= 8 x 9, 81 = 9 x 9]

= 9(8+9)

Hence, B. GCF of 72 and 81 is 9.

C. 72+81 = 9(8+9)

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The cost of Nate's dinner including a 15% tip was $43.70. What was the cost of dinner alone?
Nookie1986 [14]

Answer:

The cost of dinner alone was $37.145

Step-by-step explanation:

15%=0.15----Convert your percentage into a decimal

43.70*0.15=6.555----Multiply the cost of dinner with the decimal

$43.70-$6.555=$37.145----Subtract the last number(6.555) from the total(43.70) to get the cost of dinner alone of $37.145 -This is making you subtract the percentage from the total!

I hope this helped!

7 0
2 years ago
Find the circumference and area of a circle with a diameter of 22 inches. Leave your answers in terms of pi. (4 points) C = 11π;
Iteru [2.4K]

Answer:

C = 22π; A = 121π.

Step-by-step explanation:

To find the circumference of a circle, you do pi times the diameter. That would be 22pi.

To find the area of a circle, you do pi * r^2. The radius is the diameter divided by 2. That is 22 / 2, which is 11. Then, the area would be pi * 11^2 = pi * 121 = 121pi.

So, C = 22pi; A = 121pi.

Hope this helps!

7 0
3 years ago
Read 2 more answers
ALSO WORTH 50 POINTS Which graph matches the inequality: 2(4x - 5) < 14x + 8?
ss7ja [257]

Answer:

The correct answer is: C

Step-by-step explanation:

2(4x - 5) < 14x + 8

First multiply 2 by 4x and -5

8x - 10 < 14x + 8

Now find out what x is

Move 14x to the left

8x - 14x - 10 = 8

Then move 10 to the right and change it's sign to plus

8x - 14x = 8 + 10

Now combine like terms

-6x = 18

Now divide 18 by 6 to get x

x = 18/-6

x = -3


6 0
2 years ago
A person walks 1/5 mile in 1/10 of an hour. What is mph?
irina1246 [14]

Answer:

The person walked 1,056 feet in 6 minutes.

Mph 12

8 0
3 years ago
Can two dot plots have the same median and range but not have completely different shapes?
Leona [35]
Yes because the median and range are not a function of the totality of the sample set, the median is just value that is halfway of the set and the range is the difference of the highest and lowest value. As long as the lowest and highest value and the halfway value are the same in each set, the median and range will be equal no matter what the other values of the set are.
3 0
2 years ago
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