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kupik [55]
3 years ago
6

Combine the like terms to create an equivalent expression: 5n + 6 +(-7n) - 9

Mathematics
1 answer:
wel3 years ago
5 0

Answer:

-2n - 3

Step-by-step explanation:

5n + 6 + (-7n) - 9

5n + 6 - 7n - 9

5n - 7n + 6 - 9

-2n - 3

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\frac{2}{3}+\frac{1}{4}

Re-write with a common denominator, in this case 12:

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Add:
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A cone with radius 2 and height 9 has its radius tripled. How many times greater is the volume of the larger cone than the small
SpyIntel [72]

Answer:

When increasing the radius 3 times the volume increases 9 times and when it is reduced to a third the volume decreases 9 times

Step-by-step explanation:

We have that the formula for the volume of a cone is:

Vc = pi * (r ^ 2) * h

We first calculate the original volume, where the radius is 2 and the height is 9, replacing:

Vc = 3.14 * (2 ^ 2) * 9

Vc = 113.04

Now if the radius is tripled it would be: 2 * 3 = 6, the radius would be 6, replacing:

Vc = 3.14 * (6 ^ 2) * 9

Vc = 1017.36

If we compare:

1017.36 / 113.04 = 9

This means that when the radius is tripled, the volume increases 9 times.

When if re reduces to a third the radius would be: 2/3, replacing:

Vc = 3.14 * ((2/3) ^ 2) * 9

Vc = 12.56

113.04 / 12.56 = 9

Which means that by reducing it to a third the volume becomes 9 times smaller.

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3 years ago
Adelaide paid $35 for a manicure and gave the manicurist a 20% tip.
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Gabriel lives in a state where the sales tax rate is 6.25%. If Gabriel purchase an item for $60.00, how much sales tax does he n
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Answer:

Gabriel needs to have $3.75 for sales tax.

Step-by-step explanation:

A sales tax rate of 6.25% means that 6.25 cents is going to be charged for tax for each dollar you spend. (Because 6.25% of $1.00 is 6.25 cents.)

If he was spending $10, the sales tax would be 62.5 cents (6.25 cents per dollar x 10 dollars). Since he is spending $60 on this item, the equation would be (6.25 cents per dollar x 60 dollars) (6.25 cents x 60 = 375 cents).

And 375 cents equals $3.75.

4 0
3 years ago
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