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4 years ago

How many positive integers less than 2018 are divisible by at least 3, 11, or 61?

1 answer:

7 0

To find all the positive integers less than 2018 that are divisible by 3, 11, and 61, you will use what you know about factors.

3, 11, and 61 are all answers. So are 33, 183, 671, and 2013.

If you put these in factors, the product will be divisible by them!

3 x 11 = 33
3 x 61 = 183
11 x 61 = 671
3 x 11 x 61 = 2013

Take each number and square it, cube it, etc...
9, 27, 81, 243, 729
121, 1331

9 x 11 = 99
27 x 11 = 297
81 x 11 = 891

121 x 9 =1089
121 x 3 = 363

61 x 9 = 549
61 x 27 = 1647

Everything in bold is a correct answer.

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12. Carmen multiplied a non-zero rational number by its additive inverse. Which statement about the product must be true?

nignag [31]

Answer:

Option C. The product was negative.

Step-by-step explanation:

Let the non-zero rational number is = $\frac{x}{y}$

So, its additive inverse = $-\frac{x}{y}$

The result of multiplication the non-zero rational number by its additive inverse = $\frac{x}{y} *-\frac{x}{y} =-\frac{x^2}{y^2}$

We will check the options:

A. The product was the multiplicative inverse of the original number.

Wrong because the product = $\frac{x}{y} *-\frac{x}{y} =-\frac{x^2}{y^2}$

B. The product was the additive inverse of the original number.

Wrong because the product = $\frac{x}{y} *-\frac{x}{y} =-\frac{x^2}{y^2}$

C. The product was negative.

True

D. The product was positive.

Wrong because the product was negative.

So, the answer is option C.

6 0

3 years ago

Which set of side lengths form a right triangle? A. 10 cm, 6 cm, 8 cm B. 14 m, 20 m, 25 m C. 3 ft, 6 ft, 5 ft D. 7 cm, 8 cm, 10

svetlana [45]

The answer would be A because you would use the Pythagorean theorem which is a^2+b^2=c^2. Therefore it would be 36+64=100, which is correct. If you wanted to be sure do it for the rest and none of them will work. Hope this helps!

5 0

3 years ago

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Suppose that a child in France pays five euros to visit the zoo. Five euros is the same as $6.80 in the U.S. In France, an adult

GarryVolchara [31]

6.8/5 = 1.36
1.36 x 8 = 10.88
This means that the cost of an adult is $10.88

3 0

4 years ago

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Identify the lengths of two blank sides

Afina-wow [57]

Answer:

14 inches

Step-by-step explanation:

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3 years ago

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Rewrite √32/8 into simplified radical form

fomenos

Factor out the largest perfect square of 32.
( in this example we factored out 16 )
Rewrite
____
/16⋅2

as the product of two radicals.
The square root of 16 is 4.
Divide numerator and denominator by 4.

8 0

2 years ago