Select the correct answer.

Find the lcm of 2.5, 1.0 and 70

Ivahew [28]

Answer:

Step-by-step explanation:

2.5 = 5 * .5

1 = 1

70 = 2 * 5 * 7

LCM = 2 * 5 * 7

If you include the 1/2, you will reduce the LCM to 35, but 70 will be left out of the LCM.

4 0

2 years ago

What is the least prime number greater than 50?

uysha [10]

A prime number is a number that has only two factors: 1 and itself
For example, the number 7 has two factors: 1,7 This makes 7 a prime number
Since the number has to be greater than 50, we can go to the next whole number; 51
51 has four factors, 1,3,17,51 This is not our prime number
52 is even so obviously it's not prime because you can divide by two
53 has only two factors; 1,53 This means that its prime and the answer is 53 :)
If you have any questions feel free to ask

3 0

2 years ago

Read 2 more answers

A triangle is dilated by a scale factor of 1/5 and then rotated 90 degree clockwise about the origin. Why is the image similar t

yan [13]

Answers:
The corresponding angles of the triangles are congruent
The image is a reduction of the pre-image
Neither the dilation nor the rotation change the shape of the triangle

Explanation:
For shapes to be similar:
1- there should be a ratio between the sides
2- angles in first shape should be congruent to angles in second shape

Now, a scale factor of 0.2 means that the sides of the image are 0.2 of the length of the original shape. However, angles are not changes

Let's check the choices:
1- The corresponding sides of the triangles are congruent:
This option is incorrect as dilation changes the lengths of the sides

2- The corresponding angles of the triangles are congruent:
This option is correct as neither dilation nor rotation alters the measures of the angles

3- The corresponding sides of the image are 5 times as long as those of the pre-image:
This option is incorrect as the sides of the image are only 0.2 times as long as those of the pre-image

4- The image is a reduction of the pre-image:
This option is correct as the sides of the image are 0.2 times those of the pre-image which means that the shape is reduced

5- Neither the dilation nor the rotation change the shape of the triangle:
This option is correct as both dilation and rotation are rigid transformations that do not alter the shape of the triangle (a triangle remains a triangle only with different side lengths)

6- The rotation reduces the size of the triangle:
This option is incorrect as rotation does not alter the size of the shape. It only changes its position

Hope this helps :)

3 0

2 years ago

Read 2 more answers

Mrs. Santiago is buying bagels for her office.Each box contains 6 plain, 4 blueberry, and2 onion bagels. Write and interpret a r

yawa3891 [41]

Explanation:

Each box contains

$\begin{gathered} 6plain \\ 4blueberry \\ 2onionbagels \end{gathered}$

The ratio that compares the number of blueberry bagels in one box to the number of onion bagels in one box will be calculated below as

$\begin{gathered} 4:2 \\ in\text{ the simplest form } \\ 2:1 \end{gathered}$

This means that for every one onionbagels in the box, there are 2 blueberry bagels

Part B:

Given that there are 20 blueberry bagels, the number if onion bagels will be calculated below as

$\begin{gathered} \frac{2}{1}=\frac{20}{x} \\ cross\text{ multiply, we will have} \\ 2x=20 \\ \frac{2x}{2}=\frac{20}{2} \\ x=10 \end{gathered}$

Hence,

The final answer is

$10\text{ }onion\text{ }bagels$

7 0

6 months ago

What is the distance between -2/3 and 4/3 on a number line?

soldier1979 [14.2K]

If from the negative to the positive side, count how many dots are in between and add together. So it is 6 units apart or 6 dots apart.

8 0

2 years ago