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3 years ago

What value for A makes this equation true? 4 • 48 = (4 • 40) (4 • B)

Mathematics

1 answer:

Katena32 [7]3 years ago

4 0

$4\cdot48=(4\cdot40)(4\cdot B)\\
192=160\cdot4B\\
640B=192\\
B=\dfrac{192}{640}=\dfrac{3}{10}

$

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A positive integer is twice another.the sum of the reciprocal of the two positive integer is 3/14. Find the integers

icang [17]

Answer:

$\huge\boxed{14\ \text{and}\ 7}$

Step-by-step explanation:

$n,\ m-\text{positive integer}\\\\n=2m-\text{a positive integer is twice another}\\\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}-\text{the sum of the reciprocal of the two positive integer is }\ \dfrac{3}{14}\\\\\text{We have the system of equations:}\\\\\left\{\begin{array}{ccc}n=2m&(1)\\\dfrac{1}{n}+\dfrac{1}{m}=\dfrac{3}{14}&(2)\end{array}\right$

$\text{Substitute (1) to (2):}\\\\\dfrac{1}{2m}+\dfrac{1}{m}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{1\cdot2}{m\cdot2}=\dfrac{3}{14}\\\\\dfrac{1}{2m}+\dfrac{2}{2m}=\dfrac{3}{14}\\\\\dfrac{1+2}{2m}=\dfrac{3}{14}\\\\\dfrac{3}{2m}=\dfrac{3}{14}\Rightarrow2m=14\qquad\text{divide both sides by 2}\\\\\dfrac{2m}{2}=\dfrac{14}{2}\\\\\boxed{m=7}$

$\text{Substitute it to (1):}\\\\n=2\cdot7\\\\\boxed{n=14}$

8 0

2 years ago

Evaluate 62 in mathematics

Whitepunk [10]

Answer:

Step-by-step explanation:

62+7000000= 7000062 however when you divide that by its constant of the root of the sqared denominator, you get 4. THENNNN you add 3 to planks constand to get 62.

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3 years ago

Which is the greatest value?4qt

Aleks04 [339]

Step-by-step explanation:

19 is the greatest value

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2 years ago

Which one of the quotients is correct? A) 876 ÷ 43 = 20r17B) 876 ÷ 43 = 20r16C) 876 ÷ 43 = 20r7D) 876 ÷ 43 = 20r6

Olegator [25]

To check which of the quotients is correct, multiply 43 times 20 and add the remainder. The result must be equal to 876.

First, notice that 20 times 43 equals 860.

The remainder is 17. 860 + 17 = 877, which is not equal to 876.

The remainder is 16. 860 + 16 = 876, which is equal to 876.

The remander is 7. 860 + 7 = 867, which is not equal to 876.

The remainder is 6. 860 + 6 = 866, which is not equal to 876.

Since 20*43 + 16 = 876, then the correct quotient is shown in option B:

876 ÷ 43 = 20 r 16

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1 year ago

7 x what = 315?????????????

Allisa [31]

Answer:

7 × x = 315

x = 315 ÷ 7

x = 45

45 is the answer.

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2 years ago

Read 2 more answers