MATHEMATICS MIDDLE SCHOOL

10) (a) Translate the question below into an equation.What percent of $4200.00 is $115.50?



(b) Solve the equation that you found for Part (a), showing all work.

Answers

Answer 1
Answer:

Part a) What percent of $4200.00 is $115.50?

Let us assume x % is $4200.00 is $115.50.

% represents out of (over 100).

So, x% could be written in fractions as x/100.

Therefore, we can setup an equation as

(x)/(100)=(115.50)/(4200.00)

This is the answer for first part.

Part B) We have x/100 = 115.50/4200.00 in part a.

Dividing 115.50 by 4200.00 on right side, we get

x/100 = 0.0275.

We have 100 in denominator of x.

In order to get rid number from denominator, we always multiply both sides by the number in denominator.

So, multiplying both sides by 100, we get

100* x/100 = 100* 0.0275.

We remain just x on left side.

On multiplying 0.0275 decimal number by 100, the decimal will move two digits right.

So, we get x= 2.75.

Therefore, $115.50 is  2.75% of $4200.00.

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Select all the numbers that are rational.A 0.45623… B √50 C 0.325 D 13 E –142

My Prime factors are 2,3, and 5, and I am a number between 58 and 68. What number am I?

Answers

The number should be 65.

Given that,

  • The prime factors are 2,3, and 5.
  • And, the number between 58, and 68.
  • We have to find out that number.

Based on the above information,

  • The number should be 60 and 65.
  • But the 60 should be divisible by 2,3 but the 65 is not divisible by 2 and 3.

Therefore we can conclude that the number should be 65.

Learn more: brainly.com/question/17429689
Well, because the number has to be a multiple of 5, it must be either 60 or 65. Then, you see that only 60 fits the description because it is divisible by both 2 and 3 while 65 is divisible evenly by neither

What is the quotient of 2 1/5 divided by 6 3/5 in simplest form?

Answers

Good evening ,

______

Answer:

(1)/(3)

___________________

Step-by-step explanation:

Look at the photo below for the details.

:)

The quotient of 2(1)/(5) divided by 6(3)/(5) in simplest form is (1)/(3)

To determine the quotient of 2 1/5 divided by 6 3/5 in simplest form,

First we will write the given fractions properly

That is, 2(1)/(5) divided by 6(3)/(5)

Now, we will carry out the division operation

First, express the fractions in their improper form

2(1)/(5) / 6(3)/(5) =(11)/(5) /(33)/(5)

Then,

(11)/(5) /(33)/(5)= (11)/(5) * (5)/(33)

=(11)/(33)

=(1)/(3) (in its simplest form)

Hence, the quotient of 2(1)/(5) divided by 6(3)/(5) in simplest form is (1)/(3)

Learn more here:  brainly.com/question/15166322

Maria is enclosing a triangular pen with wire fencing. Two sides of the pen measure 14 ft and 8 ft in length. Which inequality describes the possible length. A. 14> x > 8
B. 22>x> 6
C. 8< x < 14
D. 6 < x < 22

Answers

Answer:

D. 6 < x < 22

Step-by-step explanation:

For a triangle, the third side must be less than the sum of the other two sides and it must greater than the difference between the other two sides.

Final answer:

The possible length of the third side of the triangular pen, given the Triangle Inequality Theorem and two given side measures, is best described by the inequality D. 6 < x < 22.

Explanation:

To find the possible length of the third side of a triangle, we use the Triangle Inequality Theorem. The theorem states that the length of any side of a triangle is less than the sum of the lengths of the other two sides and greater than the absolute difference of the lengths of the other two sides. Here, we have the lengths of two sides as 14 ft and 8 ft.

So the sum of these two sides is 14 + 8 = 22 ft. The difference is |14 - 8| = 6 ft. Therefore, the length of the third side 'x' can range between the sum and the difference of the other two sides. Hence, the correct answer is D. 6 < x < 22.

Learn more about Triangle Inequality Theorem here:

brainly.com/question/30956177

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The circumference of the earth is about 25,000 miles. Approximately how far is it from any point on the earth's surface to its center?

Answers

Since C = 2rπ
 
if the C of earth = 25000 miles

then the r =  C ÷ (2π)
                = 25,000 miles ÷ 2π
                = 12500 ÷ π
                ≈ 3978.87358 miles

Since radius is a measure of the distance from the center to any point on the circle then that distance would be about 3978.8736 miles

find each product by renaming one factor as a sum and applying the distributive property of multiplication over addition

Answers

1) 10989
2) 5454
3) 3952
4) 514279
5) 325845
6) 5091078

The original price of a watch was $109.it was on sale for 100.28.what was the discount rate

Answers

\$109-\$100.28=\$8.72\n\n(\$8.72)/(\$109)=(8.72)/(109)\cdot100\%=(872)/(109)\%=8\%\leftarrow answer
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