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4 years ago

P varies directly as I. If P is 0.5 when I is 4, find P when I is 6

Mathematics

1 answer:

Softa [21]4 years ago

4 0

Answer:

P = 0.75

Step-by-step explanation:

Given that P varies directly as I then the equation relating thenm is

P = kI ← k is the constant of variation

To find k use the condition P = 0.5 when I = 4, thus

k = $\frac{P}{I}$ = $\frac{0.5}{4}$ = 0.125

P = 0.125I ← equation of variation

When I = 6, then

P = 0.125 × 6 = 0.75

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Gabriel interviewed his 30 classmates on whether or not they own a bike and live near a pool. He displayed his results in the tw

snow_tiger [21]

Answer:

The true statement is:

A) Over half of the bike owners live near a pool.

Step-by-step explanation:

See the attached table

According to the data of the table, we will check which statement is true.

A) Over half of the bike owners live near a pool.

The number of the bike owners = 8 + 7 = 15

The bike owners live near a pool = 8

The percentage of the bike owners live near a pool to all the bike owners= 8/15 = 0.533 > 0.5

The statement is true.

B) Less than 55% of his classmates live near a pool.

The number of classmates = 30

The number of classmates live near a pool = 8 + 10 = 18

The number of classmates live near a pool to all

classmates = 18/30 = 0.6 = 60% > 55%

The statement is wrong.

C) About 50% of his classmates don't live near a pool.

Don't live near a pool = live near a pool

So, the same explanation of statement B

The statement is wrong.

D) 2/3 of his classmates that live near a pool don't own a bike.

The number of classmates live near a pool = 8 + 10 = 18

The number of classmates live near a pool and don't own a bike = 10

The percentage of classmates live near a pool and don't own a bike to classmates live near a pool = 10/18 = 0.556 < 2/3

The statement is wrong.

5 0

4 years ago

Read 2 more answers

Si la poblacion de india es de 1,189,173,000 de habitantes, aproximadamente, y la tercera parte son menores de 15 años cuantos n

Zina [86]

Answer:

There are 396,391,000 people smaller than 15 in India.

396,391,000 niños de esa edad hay en India

Step-by-step explanation:

We have that:

India has 1,189,173,000 habitants.

A third of this is smaller than 15.

How many people smaller than 15 are there in India?

(1/3)*1,189,173,000 = 396,391,000

There are 396,391,000 people smaller than 15 in India.

396,391,000 niños de esa edad hay en India

6 0

3 years ago

Find angle B if triangle ABC below is isosceles.

butalik [34]

The two base angles of an isoceles triangle are equal so we can conclude that

2x - 20 = x + 8

Now we just need to solve for x:

2x - 20 + 20 = x + 8 + 20

2x = x + 28

2x - x = x + 28 - x

x = 28

So, angle B = x + 8 which is 28 + 8 = 36°

6 0

3 years ago

If i get 1 pack of pepsi bottles 8-pack how much would it be if it i can get 3 for $12.88?

Cloud [144]

Answer:

38.64

Step-by-step explanation:

If 3 = 12.88

Then Just do 12.88+12.88=25.76 which also equal 6. Then 12.88/2=6.44

so 25.76+6.44+6.44=38.64

Therefore it would be 38.64.

I'm not sure but base on the math above I think the answer is 38.64

4 0

2 years ago

A forest ranger can see for a distance of 12 miles from a firetower.How many square miles can he observe?

mr_godi [17]

I think it is 12x12 = 144

7 0

4 years ago