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2 years ago

Any number divisible by 3 is divisible by 6.

Mathematics

2 answers:

frozen [14]2 years ago

5 0

Answer:

c. False, counterexample of 15

Step-by-step explanation:

This statement is entirely incorrect although it can work vice versa meaning all multiples of 6 will be divisible by 3

dimaraw [331]2 years ago

4 0

Answer:

C.) False, counterexample of 15

1) 15 is divisible by 3 but not by 6

we know that 15 = 3*5 or 15/3=5, So 15 IS DIVISIBLE BY 3

BUT 15/6=2.5 THIS PROVES 15 IS NOT PERFECTLY DIVISIBLE BY 6

2) 12= 3*4 & 6*2

SO 12 IS PERFECTLY DIVISIBLE BY 3 & 6 BUT 15 IS NOT. THUS THE ANSWER IS 'C'

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An automobile firm wants to purchase either machine A or machine B. The intial cost of machines A and B are $40,000 and $50,000,

Fynjy0 [20]

Answer:

C. $118,000 and $110,000, respectively.

Step-by-step explanation:

Please consider the complete question.

An automobile firm wants to purchase either machine A or machine B. The intial cost of machines A and B are $40,000 and $50,000, respectively. The power consumption per year of machines A and B are 120 MWh and 100 MWh, respectively. The power cost is $40/MWh. The estimated operating and maintenance cost over 10 years is $30,000 for machine A and $20,000 for machine B.

First of all, we will find the amount spent on power consumption for 10 years by each machine as:

$\text{Machine A}=10\cdot 120(\$40)\\\text{Machine A}=\$48,000$

$\text{Machine B}=10\cdot \$100(\$40)\\\text{Machine A}=\$40,000$

Now, we will find overall cost of machines A and B by adding initial cost, power consumption for 10 years and maintenance cost as:

$\text{Overall cost of machine A}=\$40,000+\$48,000+\$30,000$

$\text{Overall cost of machine A}=\$118,000$

$\text{Overall cost of machine B}=\$50,000+\$40,000+\$20,000$

$\text{Overall cost of machine B}=\$110,000$

Therefore, the overall cost of machines A and B are $118,000 and $110,000, respectively and option C is the correct choice.

6 0

3 years ago

The perimeter of the rectangle is 2,500 cm. Find the unknown side length. the other side is 750

sineoko [7]

Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question we have

$2500 = 2l + 2(750) \\ 2500 = 2l + 1500 \\ 2l = 2500 - 1500 \\ 2l = 1000 \\ \frac{2l}{2} = \frac{1000}{2} \\ l = \frac{1000}{2} \\ l = 500$

We have the final answer as

Hope this helps you

4 0

2 years ago

How do I solve radicals??

Sav [38]

Your question is too general. You might ask instead, "how do I simplify the radical sqrt(48)?"

sqrt(48) can b e simplified by rewriting 48 as the product of the perfect square 16 and the not-a-perfect-square 3:

sqrt(48) = sqrt(16)*sqrt(3) = 4*sqrt(3) (answer)

In #76, rearrange the terms so that you have 3sqrt(7x+4)=15. Then divide both sides by 3, obtaining sqrt(7x+4) =5. Squaring both sides: 7x+4=25.
Solve this linear equation for x.

4 0

3 years ago

Write 3.24 x 10-4 in standard notation.

NISA [10]

3.24 x 10-4 in standard notation is 0.000324

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3 years ago

Ethan is practicing kicking field goals before a football game. He starts by kicking from 22 yards and increases his distance by

zimovet [89]

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2 years ago