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Delicious77 [7]
3 years ago
7

uppose that y varies inversely with x. Write an equation for the inverse variation. y = 2 when x = 5

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
4 0

Answer:

An equation for the inverse variation y = 2 when x = 5 is:

y=10/x

Step-by-step explanation:

Suppose that y varies inversely with x:

y=k/x

Write an equation for the inverse variation y = 2 when x = 5

Substituting y by 2 and x by 5 in the formula above:

2=k/5

Solving for k: Multiplying both sides of the equation by 5:

5(2)=5(k/5)

10=k

k=10

Then the equation is:

y=k/x

y=10/x

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Ind the slope and y intercept of -9x+3y=5
Radda [10]

Answer:

first, you need to get y on one side. So, because the x is negative it becomes positive when you switch it to the other side. 3y= 9x+5. You then need to divide all parts by 3. 3/3= 1 so thats just y. 9/3 is 3 so thats 3x. then 5/3 is a fraction that you can write as just 5/3 or 1 and 2/3. That would leave you with y= 3x + 5/3. Then x (3) is your slope. and what you add to it (5/3) is your y int.

4 0
3 years ago
Nidah writes down two different prime numbers.
balu736 [363]

Answer:

2 and 3

Step-by-step explanation:

prime numbers=2,3,4,5,...

taking 2 and 3

2+3=5

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hence the different prime numbers are 2 and 3

5 0
2 years ago
At a large nursery, a border for a rectangular garden is being built. Designers want the border’s length to be twice as long as
sasho [114]

Let

x--------> the border’s length

y--------> the border’s width

P--------> perimeter of the border

we know that

x=5+y------> equation 1

P=2*[x+y]-----> P=2x+2y

P <=180 ft

(2x+2y) <= 180-------> equation 2

substitute the equation 1 in equation 2

2*[5+y]+2y <= 180

10+2y+2y <= 180

4y <= 180-10

4y <=170

y <=42.5 ft

so

the maximum value of the width is 42.5 ft

for y=42.5 ft

x=42.5+5------> x=47.5 ft

the answer is

the width of the border is less than or equal to 42.5 ft

7 0
3 years ago
Mr. Toshio lent out 11 rulers at the beginning of class, collected 4 rulers in the middle of class, and gave out 7 at the end of
Drupady [299]
Mr. Toshio had 32 rulers. 32-11 = 21 rulers. 21+4 = 25 rulers. and 25-7 = 18 rulers
8 0
3 years ago
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Jan plans to spend $100 on a pair of jeans and shirts. She buys 2 shirts for $24 each. What is the most she can spend on the jea
Volgvan

Answer:

52

Step-by-step explanation:

24+24=48

100-48=52

6 0
3 years ago
Read 2 more answers
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