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3 years ago

3x exponent 2 (4x exponent 3 -6xt1)

1 answer:

3 0

Your answer is 12x^5 - 18tx^3 and for future reference instead of having to write out exponent you can just put this symbol first ^. Hope this helps!

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2) What are the dimensions of a rectangular prism that has a volume of 2x4 -1?

densk [106]

The depth is what makes this a three dimensional figure since there are three dimensions: length, width, and depth! All three of these dimensions are used to find the volume of a rectangular prism.

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3 years ago

Which graph shows the solution to the system of linear inequalities? y < 2x – 5 y > –3x + 1

Ksenya-84 [330]

Answer:

Where are the graphs

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

The dot plot shows the number of magazines sold determine the median of the date set

marta [7]

To find median you set up the number least to greasiest and then cross each one out one side at a time until you get to the middle

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3 years ago

The ratio of boys to girls in a group is 5:3. If there are 18 more boys than girls, work out how

zmey [24]

<h3>Answer: 72 people total</h3>

45 boys, 27 girls

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Explanation:

g = number of girls

g+18 = number of boys, since there are 18 more boys than girls

For example, if g = 7, then g+18 = 7+18 = 25. In this example, we have 7 girls and 25 boys. The problem with this example is the ratio of boys to girls is 25:7 which is not equal to 5:3

We could use trial and error until we land on the solution, or we can use algebra as shown in the next section.

-------------------

The ratio of boys to girls is 5:3, meaning

(number of boys)/(number of girls) = 5/3

which turns into

(g+18)/g = 5/3

after we make the proper substitutions

Let's solve for g

(g+18)/g = 5/3

3(g+18) = 5g

3g+54 = 5g

54 = 5g-3g

54 = 2g

2g = 54

g = 54/2

g = 27

There are 27 girls.

This leads to,

g+18 = 27+18 = 45

So there are 45 boys

In total, we have 27+45 = 72 people

-----------------------------

Checking the answer:

The claim is that 45/27 is the same as 5/3

For now assume that claim is true. Set the fractions equal to each other and use cross multiplication like so

45/27 = 5/3

45*3 = 27*5

135 = 135

The third equation has the same thing on both sides, so it's a true equation. This must mean the first equation is true as well. Therefore, 45:27 and 5:3 are the same ratio and the answer is confirmed.

You could also use your calculator to note that

45/27 = 1.667

5/3 = 1.667

both decimal values are approximate.

8 0

3 years ago

1.Write this sentence as an equation.Do not solve it.

Ivahew [28]

Problem 1

x = some unknown number

3x = three times a number

3x-7 = difference of three times a number and seven

2(3x-7) = two times the difference of three times a number and seven

2(3x-7) = x

The last equation is formed because the expression we built up is equal to the original number in question

<h3>Answer: 2(3x-7) = x</h3>

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Problem 2

Use the distribution rule to get

3(2x+4)-2x

3*2x+3*4-2x

6x+12-2x

From here, we combine like terms. That means we combine the 6x and -2x to get 4x

So 6x+12-2x simplifies to 4x+12 and not 16x

How did she get 16x? Possibly because she mistakenly thought she could add 4x to 12 to get 16x. This only works if the 12 had x attached to it.

In other words, this is valid: 4x+12x = 16x but this is not 4x+12 = 16x

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Problem 3

L = length = horizontal dimension = (d+15) ft

W = width = vertical dimension = (d-3) ft

P = perimeter of the rectangle = 108 ft

P = 2(L+W)

108 = 2(d+15+d-3)

108 = 2(2d+12)

108 = 4d+24

4d+24 = 108

4d = 108-24

4d = 84

d = 84/4

d = 21

The deep end is 21 feet long.

This means the overall horizontal length is d+15 = 21+15 = 36 feet and the the vertical width is d-3 = 21-3 = 18 feet

The overall dimensions of the rectangular pool are 36 ft by 18 ft

<h3>Answer: d = 21</h3>

7 0

3 years ago