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Vedmedyk [2.9K]
2 years ago
15

Is y= 1/2x - 4 equal to 3x - 6y = 24

Mathematics
1 answer:
Readme [11.4K]2 years ago
5 0

Answer:

\fbox{\begin{minipage}{4em}Yes, it is\end{minipage}}

Step-by-step explanation:

3x - 6y = 24

Divide both sides by 6:

(3/6)x - (6/6)y = 24/6

Simplify:

(1/2)x - y = 4

Move y to the right side, 4 to the left side, and change sign of y and 4:

(1/2)x - 4 = y

Rearrange both sides:

y= (1/2)x - 4

Hope this helps!

:)

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A bonus of £2100 is shared by 10 people who work for a company. 40 percent of the bonus is shared equally between 3 managers. Th
Alja [10]

Answer:

Salesman is not correct

Step-by-step explanation:

First we calculate the share of salesman when 60 percent of bonus is shared among 7 salesmen:

Bonus Share For 7 Salesmen = (0.6)(£ 2100)

Bonus Share For 7 Salesmen = £ 1260

Now, this is equally divided among 7 salesmen:

Bonus Share of 1 Salesmen (when 60% is shared) = S₁ = £ 1260/7

S₁ = £ 180

Now, we calculate the share each salesmen get if bonus is equally divided among 10 people:

Bonus Share of 1 Salesmen (when equally shared) = S₂ = £ 2100/10

S₂ = £ 210

S₂/S₁ = £ 210/£ 180

S₂/S₁ = 1.16

S₂ = 1.16S₁

S₂ = 116% of S₁

This means that if bonus is equally divided between all 10 people then the salesman will get 16 percent more money.

<u>Therefore, salesman is not correct</u>

6 0
3 years ago
Identify any outlier(s) in the data.
GarryVolchara [31]
12 because the rest of the numbers are all similar except 12
6 0
2 years ago
Find the value of x in the triangle shown below.<br> 6<br> 10
Jobisdone [24]

Answer:

50

Step-by-step explanation:

The value of x is 50 degrees

bcoz it is isosceles triangle

so two angles are equal

so value of x is 50

I hope this will help u

3 0
2 years ago
Read 2 more answers
Simplify expression -6x^2+4-x^2+15x
zloy xaker [14]

Combine like terms

-6x² + (-x²) = -6x² - x² = -7x²

-7x² + 15x + 4 is your answer

hope this helps

4 0
3 years ago
Imagine a deck of 500 cards numbered from 1 to 500. If all the cards are shuffled randomly and you are asked to pick three cards
amm1812

Answer:

P = 1 / 6

Step-by-step explanation:

Given:-

- A deck has 500 cards

- Numbered from 1-500

Find:-

you are asked to pick three cards, one at a time, what's the probability of each subsequent card being larger than the previous drawn card

Solution:-

- Suppose we draw three cards. We don't care what they actually are, irrespective of number.

- Let the three numbers be a, b, c: Such that:

                                       a < b < c.

- The total possible combinations with 3 numbered cards will be:

                                       a b c

                                       b a c

                                       a c b

                                       b a c

                                       b c a

                                       c a b

- We have 6 possibilities for 3 numbered cards. So the probability of  of each subsequent card being larger than the previous drawn card would be:

                                     P = 1 / possible combinations

                                    P = 1 / 6

6 0
3 years ago
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