What is 74 divided by 9??

Jenna sells apples and pears. If 20 apples and 60 pears re sold every hour, there will be 80 pears when all the apples are sold.

lutik1710 [3]

Answer:

There are 1,360 pears.

Step-by-step explanation:

Suppose that there are P pears and A apples.

We know that:

"If 20 apples and 60 pears are sold every hour, there will be 80 pears when all the apples are sold."

Suppose that all of these are sold after N hours, then:

20*N = A

80*N = P - 80

We also know that:

"if 60 apples and 20 pears are sold every hour, there will be 400 pears when all the apples are sold."

60*N = A

20*N = P - 400

Then we have four equations:

20*N = A

80*N = P - 80

60*N = A

20*N = P - 400

From the first one and the second one, we get:

20*N = A = 20*N = P - 400

A = P - 400

Now we have 3 equations:

80*N = P - 80

60*N = A

A = P - 400

Now we can just replace the third equation into the second one, then we get:

60*N = A = P - 400

Now we have two equations:

80*N = P - 80

60*N = P - 400

Now, remember that we want to find the number of pears, so we want to find the value of P.

To do it, we can take the quotient of the two equations, so we get:

(80*N)/(60*N) = (P - 80)/(P - 400)

8/6 = (P - 80)/(P - 400)

Now we can solve this for P

(8/6)*(P - 400) = P - 80

(8/6)*P - (8/6)*400 = P - 80

(8/6)*P - P = (8/6)*400 - 80

(2/6)*P = (8/6)*400 - 80

P = (6/2)*( (8/6)*400 - 80 )

P = 3*( (8/6)*400 - 80 ) = 1,360

There are 1,360 pears.

3 0

2 years ago

Select the correct answer from each drop-down menu.

irakobra [83]

Answer:

The length of side AC is 5 units.

The areas of triangle ABC is 10 square units.

Step-by-step explanation:

From point A (1,3) to point C (1,-2) is 5 units

To check this:

3 - (-2) = 3 + 2 =5

We're subtracting since the point went down (from positive 3 to negative 2)

Now for the area:

Area formula for a triangle: $\frac{1}{2}$ bh = $\frac{1}{2}$ ⋅b⋅h

We already found the height (length) : 5

The base is from point C (1,-2) to point B (5,-2), which is 4 units

To check this:

5 - 1 = 4

Now that we have found the base and height, Let's solve:

$\frac{1}{2}$ ⋅4⋅5 = $\frac{1}{2}$ ⋅20 = 10

Our area is 10 square units.

Hope that helps :)

6 0

2 years ago

A town has a population of 2000 and grows at 4% every year. What will be the

sukhopar [10]

Answer:

3602

Step-by-step explanation:

Formula = Population after n years = 2000( 1.04)^n

15 years the population will be 2000(1.04)^15

=3602.

5 0

2 years ago

Please help please<br> e

dezoksy [38]

Answer:

a) 4410

b) 4189.5

Step-by-step explanation:

To find the volume of the pool, multiply the length, width, and depth:

21*35*6=4410ft^3

95% capacity would be equal to 0.95*4410=4189.5ft^3

6 0

3 years ago

Read 2 more answers

For every 1 girl in Mr Hegarty's class there are 4 boys. What is the ratio of boys to girls in the class? Give your answer in it

MakcuM [25]

Answer:

4:!

Step-by-step explanation:

4:1 because their are 4 boys for every 1 girl

3 0

3 years ago

Read 2 more answers