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2 years ago

Each cube represents 1 cubic inch. What is the volume if the prism?

Mathematics

1 answer:

sashaice [31]2 years ago

6 0

Answer:

12 in³

Step-by-step explanation:

Its made up of 12 (4×3 = 12) cubes of 1 in³ each

So 12 × 1 = 12 in³

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A rectangular deck is 12 ft by 14 ft. When the length and width are increased by the same amount, the area becomes 288 sq . By h

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Well to get the area of 288 the dimensions would be a couple of things but 16 ft by 18 ft seems to work, so the dimensions increase by 4 ft on each side.

12+4=16
14+4=18

18*16=288

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3 years ago

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Answer:

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$\frac{2}{x + 1}$

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3 years ago

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2 years ago

If a club charges dues of $200 a year, it will have 50 members. For each $5 it raises its dues, it loses a member. USE AN EQUATI

Vikentia [17]

Answer:

The value is $y = \$ 225$

Step-by-step explanation:

From the question we are told that

The amount charge per year is $k = \$ 200$

The number of members it will have at this amount is $n = 50$

The amount amount increase that will lead to the loss of a single member is $z = \$ 5$

Generally the total amount the club would obtain from its members is mathematically represented as

$I = Amount \ due\ paid * Number \ of members$

Now let x denote the number of member lost

Hence

$I = (k + zx) (n-x )$

=> $I = (200 + 5x) (50-x )$

=> $I = 10000+50x-5x^2$

Thus the number of members that be removed to give the maximum income from dues is obtained by differentiating the above equation and equating it to zero

$\frac{dI}{dx} = 50-10x$

=> $x = 5$

So from $I = (200 + 5x) (50-x )$ we have

$I = (200 + 5 (5)) (50-5 )$

$I = \$ 10125$

So the amount the club should charge is

$y = \frac{10125}{50 - 5}$

$y = \$ 225$

7 0

3 years ago

A refund of $274 dollars is apparently the answer... please help!

Westkost [7]

Taxable income = 3854
they have been taking taxes out in the amount of 344 for 12 months.....344* 12 = 4128....so they took out too much....so there is a refund of 4128 - 3854 =
274 refund

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3 years ago

Each cube represents 1 cubic inch. What is the volume if the prism?​

Each cube represents 1 cubic inch. What is the volume if the prism?