MATHEMATICS MIDDLE SCHOOL

Solve the equation 1/4p-5n=12 solve for n

Answers

Answer 1

Answer:

Solve the equation:

1 / 4p - 5n = 12 ========> n = 1 / 20p + -12 / 5

Let's solve for n:

1 / 4p - 5n = 12

Step 1: Add (-1) / 4p to both sides:

−5n +1 /4p +−1 /4p = 12 +−1 /4p

-5n - 1 / 4p + 12

Step 2: Divide both sides by -5.

-5n / - 5 = - 1 / 4p + 12 / -5

n = 1 / 20p + -12 / 5

Answer: 1 / 4p - 5n = 12 ========> n = 1 / 20p + -12 / 5

Hope that helps!!!! : )

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How to round 4.66 to the nearest hundredth

Answers

To round it to the nearest hundreth, round the 6 to the nearest number. 1-4 means round to the lowest number in the chart. 6-10 means round to the nearest number above the current number. The answer would be 4.7

What is a factor of 21 but not a multiple of 3

Answers

a factor of 21 that isn't a multiple of 3 is 7

Factors of 21: 1, 3, 7, 21.

A factor of 21 but not a multiple of 3 is 1 (or 7).

Hope this helps~

$290, 12.5%, 6 months

Answers

The information shown here only shows a principal sum, a rate of interest and a period or time. There is no question as to what is needed. But suppose the need is for simple interest, then we calculate using the given information and the formula:I = PRTwhere I is simple interest, P is the principal, R is the rate per year, and T is timeP = 290, T is 6 months which is 0.5 years, R = 12.5 % which is written as 0.125 in decimal fraction.I = 290 × 0.125 x 0.5 → I = 18.125Therefore after 6 months , the interest earned will be 18. 125 dollars

The circumference of a circle is C = 7.64(pi) inches. what is the length of the radius and diameter.

Answers

The exact circumference is shown there. The exact circumference has the length of the diameter and pi. Like, say a diameter was 8 inches. It would be 8(pi).

The diameter here is 7.64 inches. A radius is half as big as a diameter, so divide the diameter by 2. The radius is 3.82 inches.

Hope this helps!

Jesse takes his dog and cat for their annual vet visit. Jesse's dog weighs 23 pounds. The vet tells him his cats weight is 5/8 as his dogs weight. How much does his cat weigh?

Answers

14³/₈ or 14.375 pounds.

Further explanation

Given:

Jesse takes his dog and cat for their annual vet visit.
Jesse's dog weighs 23 pounds.

The vet tells him his cat's weight is ⁵/₈ as his dog's weight.

Question:

How much does his cat weigh?

The Process:

Since the vet tells him his cat's weight is part of his dog's weight by ⁵/₈ part, let us create an 8-unit pattern that represents the dog's weight.

Jesse's dog weight in the pattern: $\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot } \rightarrow 23 \ pounds$
Jesse's cat weight in the pattern: $\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot }\boxed{ \cdot } \rightarrow (5)/(8) \ of \ 23 \ pounds$

And now, let us find out the cat's weight. As we know, the cats' weight is ⁵/₈ the dog's weight.

The cat's weight:

$\boxed{ \ = (5)/(8) * 23 \ }$

$\boxed{ \ = (5 * 23)/(8) \ }$

Recall this $\boxed{ \ 5 * (20 + 3) = (5 * 20) + (5 * 3) = 100 + 15 = 115 \ }$

$\boxed{ \ = (115)/(8) \ }$

Recall this $\boxed{ \ 115 / 8 = (14 * 8) + 3 \ }$

$\boxed{ \ = 14(3)/(8) \ }$ as a mixed fraction

$\boxed{ \ = 14(3 * 125)/(8 * 125) = 14(375)/(1,000) = 14.375 \ }$ as a decimal fraction

Thus, his cat weigh is $\boxed{ \ 14(3)/(8) \ or \ 14.375 \ pounds \ }$

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Keywords: Jesse takes his dog and cat, annual vet visit, Jesse's dog weighs 23 pounds, the vet, his cats weight is 5/8, how much does his cat weigh, mixed fraction, decimal, part, pattern

Another sample question :p I'm stupid xD good luck! I give thanks. The question is the picture

Answers

Im not the best with probabilities, but I think you do this:
Divide 2 by 240
2/240
Then see if it equals 660 out of 42000
660/42000
If they are equal, then the answer is yes the manager is right, but if not, then the answer is no the manager is not correct

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