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Lesechka [4]
3 years ago
6

the volume of a triangular prism is increased by a factor of 8. By what factor is the surface area increased?

Mathematics
1 answer:
hoa [83]3 years ago
8 0
Answer:
4
Step-by-step explanation:
when all the lengths are multiplied by x (length scale factor), the volumes are multiplied by x³ (volume scale factor).
∴ when volume scale factor = 8
the length scale factor = ∛8 = 2
while When all the lengths are multiplied by x (length scale factor), the areas are multiplied by x² (surface area scale factor).
∴ when the length scale factor =  2
the surface area scale factor = 2² = 4
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Multiply. Write your answer as a fraction in simplest form. 10/7 x 3/5
ziro4ka [17]
10/7*3/5: 30/35 or 6/7
6 0
3 years ago
The state of Maine encourages recycling by giving refunds for certain recycled items. When you recycle a glass bottle, you get b
Klio2033 [76]

Given that cost of 1 drinks in a glass bottle = $2.00

Given that cost of 1 drinks in an aluminum can = $0.50

Given that cost of 1 drinks in a plastic bottle = $1.50

Then sum of costs  of 1 drink from each will be = 2.00+0.50+1.50


Given that you buy two of each then total cost will be given by 2(2.00+0.50+1.50)


Hence expression that represents the amount of money you will spend is 2(2.00+0.50+1.50).

Using distributive property, we can rewrite it as:

2(2.00+0.50+1.50)=2*2.00+2*0.50+2*1.50

This is final answer of part A.


----------

Given that refund on 1 drinks in a glass bottle = $0.05

Given that refund on 1 drinks in an aluminum can = $0.10

Given that refund on 1 drinks in a plastic bottle = $0.15

Then sum of refunds on 1 drink from each will be = 0.05+0.10+0.15


Given that you plan to recycle all of the items you purchased then total refund will be given by 2(0.05+0.10+0.15)


Hence expression to represent the amount of refund you will receive is 2(0.05+0.10+0.15).

Using distributive property, we can rewrite it as:

2(0.05+0.10+0.15)=2*0.05+2*0.10+2*0.15

This is final answer of part B.


----------

Net cost is given by difference of total cost and total refund

Net cost = 2(2.00+0.50+1.50) - 2(0.05+0.10+0.15)

= 2*2.00+2*0.50+2*1.50 - (2*0.05+2*0.10+2*0.15)

= 4+1+3 - (0.10+0.20+0.30)

= 8 - 0.60

= 7.40

Hence net cost is $7.40

5 0
3 years ago
PLEASE HELP ME ILL GIVE 5 STARS ASAP PLEASE
kicyunya [14]

16 wide

Step-by-step explanation:

because i do 8 x 2

8 0
3 years ago
Read 2 more answers
NEED AWNSERS ASAP!!!​
Naddik [55]

Answer:

3x+2x=95

5x=95

X=19

Step-by-step explanation:

it may help you to understand

5 0
4 years ago
Does anyone get this?
stepladder [879]

Answer: B

Step-by-step explanation:

 In the systems of equation it already gives you the solution for x  which is -2 so all you have to do is substitute -2 into the first equation and solve for y.

y= 2/3x + 3    

x= -2

Substitute x for -2

y = \frac{2}{3}* \frac{-2}1}  + 3  

y= \frac{-4}{3} + \frac{3}{1}    

y = \frac{5}{3}  

so now you have the solution like this (-2,\frac{5}{3})

8 0
3 years ago
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