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elena55 [62]
3 years ago
11

If eleven is added to the square of a number, the results is sixty. find all such numbers

Mathematics
1 answer:
Setler79 [48]3 years ago
5 0

x^2 + 11 = 60 {11 is added to the square of a number to get 60}  

x^2 = 49 {subtracted 11 from both sides}

x = 7 or -7 {took square root of both sides}  

the numbers are 7 and -7

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Domain and range: identify the domain and range of the function.​
Cerrena [4.2K]

Answer:

domain = 0,1,2,3

range= 5,7,15,44

7 0
3 years ago
In the diagram, A||B and B||C. Find the values of X.
Airida [17]

Answer:

31

Step-by-step explanation:

3x + 12 and 105 are alternate exterior angles because A || B and B || C.

If the two or more lines are parallel, then the alternate exterior angles are equal.

3x + 12 = 105

Substract 12 on both sides,

3x = 105 - 12

3x = 93

Divide 3 on both sides,

x = 93 / 3

x = 31

7 0
3 years ago
In a coffee shop, the average drink is currently $4.50 while the average pastry is $2.25. You've made a total of $5,250 today. W
Kamila [148]

Answer:

4.50x+2.25y=5,250  where x denotes number of drinks and y denotes number of pastries.

Step-by-step explanation:

Let x denotes number of drinks and y denotes number of pastries.

Cost of the average drink = $4.50

Cost of the average pastry = $2.25

Total amount = $5,250

Therefore,

4.50x+2.25y=5,250

6 0
4 years ago
How do you use distributive property to solve 3,649 x 7
Tanzania [10]
You distribute. First 3,000* 7.Then 600 *7. Then 40*7. Then 9 AM. Add it up Hopefully this helps
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3 0
3 years ago
Read 2 more answers
Please show step by step solution
lesantik [10]

Answer:

b) 74

The sample size that needs to be taken if the desired margin of error is 5 or less is 74

Step-by-step explanation:

<u>Explanation:</u>-

Given population variance σ² = 484

                                            σ = √484

                                            σ = 22

The level of significance ∝=0.95

The z-score of 0.95 level of significance = 1.96

Given Margin of error = 5

we know that the margin of error is determined by

M.E = \frac{Z_{\alpha }S.D }{\sqrt{n} }

cross multiplication, we get

\sqrt{n}  = \frac{Z_{\alpha }S.D }{M.E}

\sqrt{n}  = \frac{1.96 X22 }{5} = 8.624

Squaring on both sides, we get

n = (8.624) ²

n = 74.37 ≅74

<u>Conclusion</u>:-

The sample size that needs to be taken if the desired margin of error is 5 or less is 74

5 0
4 years ago
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