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adoni [48]
3 years ago
13

Hannah wants to rewrite 18+12 using the greatest common factor and the distributive property. Which expression should she write?

Mathematics
1 answer:
grigory [225]3 years ago
7 0

Answer:

6(3+2)

Step-by-step explanation:

Distributive property:

ab + ac = a(b+c)

where a = greatest common factor (GCF)

GCF of each factor

18 = 2×3×3

12 = 2×2×3

GCF of 18 and 12 = 2×3

= 6

Therefore,

18 + 12 = 6(3) + 6(2)

= 6(3+2)

Where,

6 = a

3 = b

2 = c

ab + ac = a(b+c)

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Answer:

$8.2

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The final price of the coat = $45 -0.2 * $45 = $36

The final price of the suit = $95 − 0.3 * $95 = $66.5

sarosh's commission = 0.08 * ( $36 + $66 ) = $8.2

5 0
3 years ago
If a rectangular prism with a length of 12 feet and width of 9 feet has a surface area of 930 square feet, find its height.
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17 feet

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3 years ago
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I'm not sure what you're asking but i think it can be this 

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15. The dollar amount y that remains to be repaid on a loan x months after the loan is issued is represented by y=-1000x + 8000.
irina [24]

Answer:

1) $8000

2) $1000

3) 8 months, since y represents our remaining amount to be paid, we set it equal to 0, to see when $0 need to be paid. Solving for x (months), we can it to be 8.

Step-by-step explanation:

We have the equation y = -1000x + 8000 which follows the linear equation:

y = mx + b, where m is our slope and b is our y-intercept

1) The initial balance can be found with our constant "b" which in this case is 8000. You can also plot the function of y and you will find that 8000 is the intercept when x = 0, aka the start

2) We can calculate the rate of change for when the loan is repaid by looking at the slope "m", in this case it is 1000. It subtracts 1000 each month, meaning $1000 is being payed and taken out of the bank account

3) To find how many months it will take for the loan to be repaid, let's solve for x when y = 0.

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8 = x

It will take 8 months. Why? Since y represents our remaining amount to be paid, we set it = 0, to see when $0 need to be paid. Solving for x (months), we can it to be 8.

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2 years ago
A circle with radius of 6 cm sits inside a circle with a radius of 9 cm, what is the area of the shaded region?
SpyIntel [72]

Answer:

128.8cm^2

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therefore the shaded region is = 128.8cm^2

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