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iren [92.7K]
3 years ago
13

If at least one of these two numbers is divisible by 6, then the product of these two numbers is divisible by 6. Neither of thes

e two numbers is divisible by 6. [ The product of these two numbers is not divisible by 6. Copyright 2020 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole
Mathematics
1 answer:
lubasha [3.4K]3 years ago
4 0

Answer:

(a)then the product of these two numbers is divisible by 6.

Step-by-step explanation:

If a and b are two integers where at least one of a or b is divisible by 6, the product ab will also be divisible by 6.

If, a is divisible by 6, a/6 = c (an integer).

Product of a and b, (ab)/6 = (a/6) X b =cb.

Likewise if b is divisible by 6, same rule applies.

We only need a term in the product to be divisible by an integer for the product to be divisible by the integer.

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The length of a rectangular plot of land is 10 yards more than its width if the area of the land is 600 yd.² find the dimensions
Andrews [41]

Answer:

The dimension of the plot is 30 yd by 20 yd

Step-by-step explanation:

Given;

Area = 600 yd^2

Length = width + 10

l = w + 10 ......1

Area of a rectangular plot is;

Area A = length × width

A = l × w

Substituting equation 1;

A = (w+10) × w

A = w^2 + 10w

600 = w^2 + 10w

w^2 +10w -600 = 0

Solving the quadratic equation;

w = -30 or 20

cannot be negative

w = 20 yd

l = w+10 = 20+10 = 30yd

The dimension of the plot is 30 yd by 20 yd

6 0
3 years ago
A regular number cube is rolled. What is the probability that an odd number will not be rolled?
mixer [17]

Answer:

1/2

Step-by-step explanation:

A regular die has 3 odd numbers (1, 3, and 5) and 3 even numbers (2, 4, and 6). The question asks for the probability that an odd number will not be rolled. This is the same as asking the probability of an even number being rolled. Since we have 6 numbers in our data set and 3 are even, we can deduce that 1/2 of them are even and the probability of an even number being rolled is 1/2.

HTH :)

5 0
3 years ago
Read 2 more answers
How do you describe the solution set to a system of linear inequalities?
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Answer:

How do you describe the solution set to a system of linear inequalities?

Step-by-step explanation:

The solutions of a system of linear inequalities are all the ordered pairs that make all the inequalities in the system true.

6 0
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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