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Drupady [299]
2 years ago
12

Where y=5x-7 and -3x-2y=-12 Write your answer as x,y

Mathematics
1 answer:
Mariulka [41]2 years ago
5 0

Answer:

(x,y) = (2,3)

Step-by-step explanation:

y=5x-7                  (i)

-3x-2y= -12          

-(3x+2y)= -12

3x+2y= 12            (ii)

By putting the value of y from (i) in (ii)

3x+2(5x-7)=12

3x+10x-14=12

13x=12+14

13x= 26

x = \frac{26}{13}

x= 2

By putting the value of x in (i)

y= 5(2)-7

y= 10-7

y= 3

(x,y) = (2,3)

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17/25

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6 0
2 years ago
Last month a museum received €21000 in donations.After taking off the cost of monthly bills,,the museum spent the remaining mone
Rainbow [258]

Answer:

$13,500.

Step-by-step explanation:

Let x represent money spent on monthly bills.

We have been given that last month a museum received €21000 in donations. The ratio of bills to donations was 5:14.

We will use proportions to solve our given problem.

\frac{\text{Bills}}{\text{Donations}}=\frac{5}{14}

\frac{x}{21000}=\frac{5}{14}  

\frac{x}{21000}*21000=\frac{5}{14}*21000

x=5*1500

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Now, we will subtract $7500 from donations to find the amount spent on new exhibitions as:

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Therefore, they spent $13,500 on new exhibitions.

6 0
3 years ago
Raleigh went to a gaming arcade for his birthday. His parents gave him $55 to spend. He purchased $14.25 in food and drinks, and
xenn [34]

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Total amount to spend = $55

Amount of food and drinks purchased = $14.25

Amount put on gaming card = $(55 - 14.25) = $40.75

Cost per game = $1.25

Number of games (g) he can play

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Amount put on gaming card / cost per game

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6 0
2 years ago
X−8π=π someone help me answer this
Ann [662]

Answer:

x = 9

Step-by-step explanation:

First step, divide both sides by pi to get rid of it entirely; you should be left with x - 8 = 1 (because when you divide a value by itself, you always get 1, so pi divided by pi gives you 1)

Second step, add 8 to both sides, leaving you with x = 9

4 0
2 years ago
A cup of coffee is cooling down such that its temperature is decreasing at a constant rate of 8% per minute. Let’s say the coffe
KengaRu [80]

Answer:

Temperature after 1 minute = 184 ° F

Step-by-step explanation:

starting temperature = 200 °F

rate of decrease = 8% per minute

Temperature lost = 8% of 200 = 8/100 × 200 = 0.08 × 200 = 16 °F

It therefore means that after 1 minute, the cup of coffee loses 16 °F,

∴ Temperature after 1 minute = (starting temperature) - (lost temperature)

= 200 - 16 = 184 °F

4 0
3 years ago
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