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o-na [289]
4 years ago
6

PLEASEEE HELP MEEEE!!!

Mathematics
1 answer:
Romashka [77]4 years ago
4 0

Use substitution

From second equation:-

x = 13 - 5y,                   Substitute for x in the first eqaution:

(13 - 5y)^2 + y^2 = 13

169 -130y + 25y^2 + y^2 - 13 = 0

26y^2  - 130y + 156  = 0

26(y^2 - 5y + 6) = 0

26(y - 3)(y - 2) = 0

y = 2 , y = 3

From the second equation when y = 2, x =  13 - 5(2) = 3

and when y = 3,  x = 13 - 5(3) = -2

So the solution is   [3, 2} and {-2, 3}



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a jogger runs 4 miles per hour faster downhill than uphill. if the jogger can run 5 miles downhill in the same time that it take
Serga [27]

Answer: the rate uphill is 6 mph.

The rate downhill is 10 mph

Step-by-step explanation:

Let x represent the rate at which the jogger ran uphill.

The jogger runs 4 miles per hour faster downhill than uphill. This means that speed at which the jogger ran downhill is (x + 4) mph

Time = distance/speed

if the jogger can runs 5 miles downhill, then the time taken to run downhill is

5/(x + 4)

At the same time, the jogger runs 3 miles uphill. It means that the time taken to run uphill is

3/x

Since the time is the same, it means that

5/(x + 4) = 3/x

Cross multiplying, it becomes

5 × x = 3(x + 4)

5x = 3x + 12

5x - 3x = 12

2x = 12

x = 12/2

x = 6

The rate downhill is 6 + 4 = 10 mph

8 0
4 years ago
Read 2 more answers
A motorist traveled 250 miles on 11 gallons of gas. With the same vehicle, about how far could he go on 16 gallons of gas? A) 17
Andrei [34K]
ANSWER

363.6 \: miles
EXPLANATION

We were told that the motorist travelled 250 miles on 11 gallons of gas. This implies that,

250 \: miles \equiv11 \: gallons

Now we want to find how far he could go on 16 gallons.

x \: miles \equiv16 \: gallons


All other things being equal, the motorist should cover more than 250 miles with 16 gallons of gas.

Recall that: If more, less divides.

This implies that,

x =  \frac{250 \times 16}{11}




x =  \frac{4000}{11}   = 363.6 \: miles


Therefore the correct answer is C.

3 0
4 years ago
The number of cars at a dealership dropped from 64 to 48 after a weekend sale.
Arada [10]
The answer is 25%

(1)
If 64 is 100%, 48 is how much percent:
64 : 100% = 48 : x
x = 100% * 48 : 64
x = 75

(2)
Percent of decrease is:
100% - x = 100% - 75% = 25%

7 0
3 years ago
Read the excerpt from Chapter 3 of Wheels of Change . In 1881, as women in the United States continued to struggle with hoops an
elena-s [515]

Step-by-step explanation:

Chapter 3 of Wheels of Change .

But the bicycle craze had a more lasting impact on women’s clothing than just the use of bloomers. Thanks in large part to cycling, the innovation of rational dress reformers were starting to take effect by the end of the 1890s. Corsets were on their way out, dresses were getting shorter, and women no longer wore the heavy, bulky undergarments that gave them round, unnatural shapes. These changes went a long way toward unburdening women and setting the stage for them to be healthier and more active in the coming century.

Based on the excerpt, women in the 1890s became more independent and their lives improved as a result of

a rise in the popularity of bicycles.

a rise in the popularity of corsets.

cycling becoming less socially acceptable.

clothing becoming more restrictive.

7 0
2 years ago
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lawyer [7]

Answer:

A,C, F

Step-by-step explanation:

y> 7 so,

eliminating B,D and E

now, for A, 2×1 < 9

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3 0
3 years ago
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