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alexandr1967 [171]
2 years ago
12

Which of the following equations is equivalent to 5(2p – 6) = 40?

Mathematics
1 answer:
kirza4 [7]2 years ago
8 0

Answer:

10p-30=40

Step-by-step explanation:

you distribute the number outside the () so 2p times 5 and 6 times 5 and you get 10p-30=40

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A truck is carrying grapefruit juice, mango juice and orange juice bottles in a ratio of 1:1:7. If there are 105 orange juice bo
____ [38]
<h3>There are 135 bottles in all</h3>

<em><u>Solution:</u></em>

Given that,

A truck is carrying grapefruit juice, mango juice and orange juice bottles in a ratio of 1:1:7

Ratio = 1 : 1 : 7

Let the number of grape fruit juice bottles be 1x

Let the number of mango juice bottles be 1x

Let the number of orange juice bottles be 7x

There are 105 orange juice bottles

Therefore,

7x = 105

Divide both sides by 7

x = 15

Therefore,

number of grape fruit juice bottles = 1x = 15

number of mango juice bottles = 1x = 15

number of orange juice bottles = 7x = 105

Thus,

Total bottles = 15 + 15 + 105 = 135

Thus there are 135 bottles in all

5 0
3 years ago
If M is the set of all square of integers that are less than 100 and N is the set of all positive even numbers that are under 30
irina [24]

Answer:

a) M = {0 , 1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 81}

   N = {2 , 4, 6 , 8 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 26 , 28}

b) M ∩ N = {4 , 16 }

M ∪ N = {0 , 1 , 2 , 4 , 6 , 8 , 9 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 25 , 26 , 28 ,

               36 , 49 , 64 , 81}

a) X = {e , i , g , h , t , y}

   W = {e , n , s , t , v , y}

b) X ∪ W = {e , i , g , h , n , s , t , v , y}

X ∩ W = {e , t , y}

Step-by-step explanation:

* Lets explain how to solve the problem

- We can find a square number by multiply the number by itself

a)

- M is the set of all square integers that are less than 100

∵ The integers from -9 to 9 has square less than 100

∴ M = {0 , 1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 81}

- N is the set of all positive even numbers that are under 30

∵ Even number any number divisible by 2

∵ They are positive numbers

∴ They start with 2 because zero is not a positive or negative

∴ N = {2 , 4, 6 , 8 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 26 , 28}

b)

- M ∩ N means the common numbers between set M and set N

∵ The common elements of M ∩ N are square and even less

   than 30

∴ M ∩ N = {4 , 16 }

- M ∪ N means all the elements in M and N without reputation

∴ M ∪ N = {0 , 1 , 2 , 4 , 6 , 8 , 9 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 25 ,

  26 , 28 , 36 , 49 , 64 , 81}

a)

- X is the set of all letters of the word eighty

∵ The letters of word eighty are e i g h t y

∴ X = {e , i , g , h , t , y}

- W be the set of all letters of the word seventy

∵ The letters of word seventy are s e v e n t y

∵ We don't repeat any element in the set

∴ W = {e , n , s , t , v , y}

b)

- X ∪ W means all the elements in X and W without reputation

∴ X ∪ W = {e , i , g , h , n , s , t , v , y}

- X ∩ W means the common elements between set X and set W

∵ The common letters between X and W are e , t , y

∴ X ∩ W = {e , t , y}

3 0
3 years ago
Pinky Bauer, Chief Financial Officer of Harrison Haulers, Inc., suspects irregularities in the payroll system, and orders an ins
AVprozaik [17]

Answer: 17.89

Step-by-step explanation:

In binomial distribution, the standard deviation is given by :-

\sigma=\sqrt{np(1-p)}

As per given , we have

The number of vouchers in the sample with errors is denoted by x.

p= 0.20  , n = 2000

Then , \sigma=\sqrt{2000\times(0.2)(1-0.2)}

\sigma=\sqrt{320}=17.88854382\approx17.89

Hence, the standard deviation of x is 17.89.

6 0
2 years ago
If vertex A is at (-1, 2) and vertex B is at (1, 5), then vertex A' is at and vertex B' is at .
lukranit [14]
The answer would be -0.5

5 0
3 years ago
What is the exact volume of a cylinder whose radius is 21 centimeters and whose height is 30 centimeters?
olga nikolaevna [1]
Volume of cylinder
v = πr²
v = 22/7 x 21²
v = 1385.441 cm³
4 0
2 years ago
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