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3 years ago

The sum of 3 consecutive integers is 201. What are the integers?

Mathematics

1 answer:

seraphim [82]3 years ago

8 0

Answer:

Step-by-step explanation:

the consecutive numbers can be represented by (n-1), n, and (n+1), where n is an integer.

(n-1) + n + (n+1) = 201

3n = 201

n = 67

66, 67, 68

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A bag contains white marbles and red marbles, 20 in total. The number of white marbles is 5 more than 2 times the number of red

Nitella [24]

Answer:

Step-by-step explanation:

let r represent red marbles then white = 2r + 5 and total is 20, thus

r + 2r + 5 = 20 ( subtract 5 from both sides )

3r = 15 ( divide both sides by 3 )

r = 5 ← number of red marbles

Thus number of white = 20 - 5 = 15

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3 years ago

Which expression has a positive quotient?

svp [43]

Answer:

Only 1st option Negative three-fourths divided by Negative two-thirds has positive quotient.

Option A is correct.

Step-by-step explanation:

We will solve to find out Which expression has a positive quotient.

We know the division rule: $\frac{-a}{-b}=\frac{a}{b}$ and $\frac{-a}{b}=\frac{-a}{b}$

We will use these rules

1) Negative three-fourths divided by Negative two-thirds

$=\frac{-\frac{3}{4} }{-\frac{2}{3} }\\=-\frac{3}{4}\times -\frac{3}{2}\\=\frac{9}{8}$

The quotient is positive.

2) Negative StartFraction 1 over 8 EndFraction divided by 3 and one-fifth

$\frac{-\frac{1}{8} }{3\frac{1}{5} }\\=\frac{-\frac{1}{8} }{\frac{16}{5} }\\=-\frac{1}{18} \times \frac{5}{16}\\=-\frac{5}{288}$

The quotient is negative.

3) 2 and StartFraction 2 over 7 EndFraction divided by negative one-fifth

$\frac{2\frac{2}{7} }{-\frac{1}{5} }\\= \frac{\frac{16}{7} }{-\frac{1}{5} }\\=\frac{16}{7} \times -5\\=-\frac{80}{7}$

The quotient is negative.

4) Negative 6 divided by Five-thirds

$\frac{-6}{\frac{5}{3} }\\=-6 \times \frac{3}{5}\\=-\frac{18}{5}$

The quotient is negative.

So, only 1st option Negative three-fourths divided by Negative two-thirds has positive quotient.

Option A is correct.

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3 years ago

Read 2 more answers

Andy is buying a new laptop computer. The store is offering a 15% discount on the model he wants. Andy also has a certificate fr

nika2105 [10]

Answer:

$899.15

0.85(1199) - 120

Step-by-step explanation:

To find the purchase total, multiply the price by the percent paid and subtract the certificate.

The store offers a 15% discount. This means you pay 85% of the price. So the discounted price is 0.85(1199) = 1019.15

Subtract the certificate 1019.15 - 120 = 899.15

The composite function is 0.85(1199) - 120.

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3 years ago

There is a 10% sales tax on a purchase of $13.50 how much is the tax

raketka [301]

Answer:

1.35

Step-by-step explanation:

13.5/100 times 10 = 1.35

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4 years ago

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