MATHEMATICS MIDDLE SCHOOL

Explain how you decide where to place the decimal in the quotients for a and b.16.5 divided by 10
16.5 divided by 100

Answers

Answer 1

Answer:

Answer:

a) $(16.5)/(10)=1.65$

b) $(16.5)/(100)=0.165$

Step-by-step explanation:

Given : a) 16.5 divided by 10

b) 16.5 divided by 100

To find : Explain how you decide where to place the decimal in the quotients for a and b ?

Solution :

Placing the decimal in the quotients,

If the value is multiple of 10 then the decimal is placed to the right according to number of zeros.

For example - $(3)/(10)=0.3$ it place one value to the right.

Now, We solve the expressions

a) 16.5 divided by 10

i.e. $(16.5)/(10)=(165)/(100)=1.65$

b) 16.5 divided by 100

i.e. $(16.5)/(100)=(165)/(1000)=0.165$

Answer 2

Answer: 1.65

0.165

For example, .000 is in the hundreds place to the right and .00 is the tens place.

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Write a real world situation that could be modeled by the equation 650 + 10m = 60m + 400

The volume of a sphere is 500
3
πcm3. What is the radius?

Answers

Answer:

Step-by-step explanation:

The volume of a sphere is 500 3 πcm3. what is the radius? sphere v = 4 3 πr3 1. substitute value into formula: 500 3 π = 4 3 πr3 2. undo multiplication of 4 3 : 125π = πr3 3. undo multiplication of π: 125 = r3 4. undo cube: 3√125 = r the radius of the sphere is 6 ⇒ 5 cm

Answer:

about 4.9 cm

Step-by-step explanation:

The equation for the volume of a sphere is V= $(4)/(3)\pi r^3$ . So, to solve this problem we will plug in 500 for V and solve for the radius, $r$ .

500= $(4)/(3) \pi r^3$
Multiply both sides by 3: $1500=4\pi r^3$
Divide both sides by 4: $375=\pi r^3$
Divide both sides by $\pi$ : $(375)/(\pi ) =r^3$
Find the cubed root of both sides: $4.9237=r$
The radius is about 4.9 cm

Simplify the expression 3 1/4 * 3^2 to show the product of powers property. Show any intermittent steps that demonstrate how you arrived at the simplified answer.

Answers

Answer:

117/4

Step-by-step explanation:3 1/4 simplified is equal to 13/4. And 3 squared equals 9. So 13/4 times 9 gives you your answer.

Final answer:

To simplify the expression 3 1/4 * 3^2, first convert 3 1/4 to an improper fraction, yielding 13/4. Then calculate 3^2 to get 9. Multiply 13/4 by 9 to get 117/4 which converts back to 29 1/4.

Explanation:

The problem presents the mixed number 3 1/4 and the square of 3, which is 3^2, and asks us to multiply them. Let's break it down step-by-step:

Firstly, convert the mixed number 3 1/4 to an improper fraction. It is your choice whether to convert it to a decimal or a fraction, but in this case, we convert it to an improper fraction because we can visualize the entire process. You multiply the denominator 4 by the whole number 3, and then add the numerator 1. It simplifies to 13/4.
Next, simplify 3^2 which means 3 times 3. That equates to 9.
So now you have to multiply 13/4 (which is 3 1/4 as an improper fraction) and 9. Therefore, the expression becomes 13/4 * 9. Multiply the fraction 13/4 by 9 to equal 117/4.
Finally, convert 117/4 back into a mixed number. You divide 117 by 4 which gives you 29 and a remainder of 1. So, 117/4 or 29 1/4 is the final answer.

Learn more about Multiplying Mixed Number and Exponent here:

brainly.com/question/18733147

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Which statements are true?Select each correct answer.

All squares are parallelograms.

No trapezoids are parallelograms.

All rectangles are squares.

All rectangles are quadrilaterals.

Answers

Answer:

All squares are parallelograms, and all rectangles are quadrilaterals are both true

Step-by-step explanation:

Answer:

The answer is a and d

a) All squares are parallelograms

d) All rectangles are quadrilaterals

hope i helped!

A factory worker packed 12 boxes at a constant rate, took a 30-minute break, and then continued packing the boxes at twice the rate before the break. The worker then spent `1/2` an hour cleaning the work area. Which of the following represents the domain for this situation?A. 4.5≤t≤24
B. 0≤t≤4.5
C. 0
D. 0≤b≤24

Answers

Answer:

A - 4.5<t<24

Step-by-step explanation:

What two numbers add to equal 11 and multiply to equal 10

Answers

Hi There! The answer is 10 and 1. Because you add 10 and 1 to get 11 and 10 times 1 equals 10. Hope this helps.

A 4 cm × 6 cm 4cm×6cmstart color #1fab54, 4, start text, c, m, end text, times, 6, start text, c, m, end text, end color #1fab54 rectangle sits inside a circle with radius of 11 cm 11cmstart color #11accd, 11, start text, c, m, end text, end color #11accd.