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Elenna [48]
3 years ago
10

Can someone help me with this? giving brainliest to correct answer!

Mathematics
1 answer:
Reika [66]3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

(a)

x + y = 15 → (1)

(b)

xy - yx = 27 ( take into account the place value of the digits )

10x + y - (10y + x) = 27

10x + y - 10y - x = 27

9x - 9y = 27 → (2)

(c)

Multiply (1) by 9

9x + 9y = 135 → (3)

Add (2) and (3) term by term to eliminate y

18x = 162 ( divide both sides by 18 )

x = 9

Substitute x = 9 into (1)

9 + y = 15 ( subtract 9 from both sides )

y = 6

Thus the original number = (9 × 10) + 6 = 90 + 6 = 96

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REWARD: 50 points + Brainly to the best answer.<br> Check the file.
Debora [2.8K]

Answer:

a) No because the gallons and quarts of oil you and your friend bought is proportional.

b) Yes because the gallons and quarts of oil are no longer proportional.

c) 1 gallon of gasoline = $3.55

   1 quart of oil = $5.00

Step-by-step explanation:

Let g = cost per gallon of gasoline

Let q = cost per quart of oil

a)  Creating expressions from the given information:

10g + 2q = 45.50

5g + q = 22.75

From inspection, we can see that if we multiply the second equation by 2, it will give us the first equation.  Therefore, they are proportional and we cannot determine the variables.

b) Creating expressions from the given information:

10g + 2q = 45.50

5g + q = 22.75

8g + 2q = 38.40

From inspection, we can see that the third equation is not proportional to equations 1 and 2.  Therefore, we can use this equation with either of the other equations to determine the variables.

c)

Using equations 2 and 3 from the previous part (b):

5g + q = 22.75

8g + 2q = 38.40

Rewrite 5g + q = 22.75 to make q the subject:

⇒ q = 22.75 - 5g

Substitute into 8g + 2q = 38.40 and solve for g:

⇒ 8g + 2(22.75 - 5g) = 38.40

⇒ 8g + 45.5 - 10g = 38.40

⇒ 2g = 7.1

⇒ g = 3.55

Substitute found value for g into q = 22.75 - 5g and solve for q:

⇒ q = 22.75 - (5 x 3.55)

⇒ q = 5

3 0
2 years ago
40% of a nurse time is spent disowning medicine to patients. if 16 hours is spent dispensing medicine, how many hours does the n
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40 % = 16 hours
100 % = 40 hours, the nurse works for 40 hours.
this can be proven by 40% of 40 is 16.
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What do your question contain of?

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What time does the sun set mostly
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It depends on what location the sun is setting. For example, in the east side of the North America, the sun may set near 7pm to 7:30pm now that we are in summer, but in Europe, the sum may set at 8pm
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HEEEELP WILL GIVE BRAINLIEST
IrinaK [193]

Answer:

Yes

Step-by-step explanation:

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