Locate Square Roots Click to select the correct answers. Click again to unselect answers. Leave the incorrect answers unselected. 28 lies between 5 and 6 39 lies between 7 and 8 85 lies between 8 and 9 52 lies between 7 and 8 21 lies between 4 and 5

Answers

Answer 1

Answer: √28 is between 5 and 6
√39 is not between 7 and 8. Its between 6 and 7
√85 is not between 8 and 9. Its between 9 and 10
√52 is between 7 and 8
√21 is between 4 and 5

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Find two consecutive positive odd integers whose product is 35??
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In a group of 200 high school students, 36 are taking biology, 52 are taking Spanish, and 126 are taking neither biology nor Spanish. If one of these 200 students is to be chosen at random, what is the probability that the student chosen is taking biology but not Spanish?A. 7% B. 11% C. 18% D. 37%
The roller on a computer printer makes 2200 revolutions per minute. what is its angular velocity?

What is the surface area of the prism? A. 138 yd2 B. 192 yd2 C. 264 yd2 D. 272 yd2

Answers

In order to find the area of the triangular prism, we need to find the area of each of the figures that make it up. It might help if you draw the triangles and rectangles that make up the prism individually.

Let's start with the two triangles at either end of the prism.

A = 1/2bh Area of a triangle
A = 1/2(6)(8) Substitute
A = 24 Multiply / Divide

We now know that the area of the triangle at the end of the prism is 24 yd². However, since there are two of these triangles, we'll need to multiply that by 2. So, in total, the area of the two triangles is 48 yd².

There are three more rectangles that we need to find the area for: the base of the prism, the vertical edge of the prism, and the slanted edge of the prism.

A = lw Area of a rectangle
A = (9)(10) Area of the slanted edge
A = 90 yd² Multiply

A = (9)(6) Area of the base
A = 54 yd² Multiply

A = (8)(9) Area of the vertical edge
A = 72 yd²

We now have the area for both triangles and each rectangle. Now, all we have to do is add these together to get the total surface area!

72 + 54 + 90 + 48 = 264 yd²
Surface Area = 264 yd²

The answer is 264 yd², or answer choice C.

108 is 36% of what number? Write and solve a proportion to solve the problem

Answers

Let the number = x

Then, it would be: (x*36)/100 = 108

x*36 = 10800

x = 10800/36

x = 300

108 is 36 percent of the number 300.

Use a proportion to proceed to find the number.

A proportion is an equation that shows two ratios are equivalent.
In this case, we want to find the number that 108 is 36% of.

Write this proportion as:

108/x = 36/100

Here,

x represents the unknown number that we want to find.

Simplify this proportion by cross-multiplying:

(108)( 100) = 36x

Simplifying further, we get:

x = (10800)/36

x = 300

Therefore, 108 is 36% of 300.

Hence, the required number is 300.

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A pizza is divided into 12 equal slice.4 slices have mushrooms only.
2 slices have mushrooms and pepperoni.
6 slices have pepperoni only.
write two equivalent fractions to describe the parts of the pizza with
mushrooms only : ____________ and _________
pepperoni only : ___________ and _________
mushrooms and pepperoni : ____________ and ______________ .

Answers

The equivalent fractions for only mushroom, only pepperoni and mushrooms and pepperoni are given as 1/3, 2/6, 1/2, 2/4, 1/6, 2/12 respectively.

What is a fraction?

A fraction is a number written in the form a / b, where a and b are integers and b ≠ 0.

The number a is called as the numerator and b is the denominator.

The given problem can be solved as follows,

(a) The fraction to represent only mushrooms is given as below,

The number of mushroom slices ÷ Total number of slice

⇒ 4 ÷ 12

⇒ 1/3

Multiply numerator and denominator by 2 to get equivalent fraction as2/6

(b) The fraction to represent only pepperoni is given as below,

The number of pepperoni slices ÷ Total number of slice

6 ÷ 12

⇒ 1/2

Multiply numerator and denominator by 2 to get equivalent fraction as 2/4.

The number of mushrooms and pepperoni slices ÷ Total number of slice

⇒ 2 ÷ 12

⇒ 1/6

Multiply numerator and denominator by 2 to get equivalent fraction as 2/12.

Hence, the required fractions for the given case are 1/3, 2/6, 1/2, 2/4, 1/6, 2/12 respectively.

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Mushroom only: 4/12 and 1/3
Pepperoni only:6/12 and 2/4
Both mushroom and pepperoni: 2/12 and 1/6

What does the expression l∙w represent

Answers

It represents Length times width

0.1m+8-12 when m=30 and n=1/4

Answers

Answer: Look at this

Substitute the given numbers and do the arithmetic.

... 0.1·30 + 8 - 12·(1/4) = 3 + 8 - 3 = 8

Step-by-step explanation:

Ian is another of Josie’s clients. He is 60 years old. What is the MHR for Ian when he is training

Answers

Answer:

166 bpm

Step-by-step explanation:

Ian's age = 60

MHR stands for maximum heart rate. There are two methods of calculating the MHR :

1) MHR = 220-age

2) MHR = 217-(0.85×Age)

Both the methods are easy to solve but the most accurate is the second one, hence we use the second method to calculate MHR of Ian.

MHR = 217-(0.85×Age)

= 217-(0.85×60)

166

Since the MHR is calculated in beats per minute (bpm)

Therefore, MHR of Ian = 166bpm

MHR=190-(age-30)/2
MHR=190-(60-30)/2
MHR=190-(30/2)
MHR=190-15
MHR=175 bpm

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