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mixer [17]
3 years ago
5

A fruit basket weighing a total of 15 lbs. contains three types of fruit: apples, oranges, and pears. The apples weigh 4 1/2 lbs

. The oranges weigh twice the amount the apples weigh, and the pears weigh the rest. Which of the following expressions could be used to find the weight of the pears?
Answer Choices:
A) (4 1/2+4 1/2 *2) - 15
B) 15 - (4 1/2*2)
C) 15 - (4 1/2+4 1/2 *2)
D) 15 - (9*2)

Help appreciated
Mathematics
1 answer:
frez [133]3 years ago
3 0

Answer:

B is most likely the answer

Step-by-step explanation:

4 1/2 * 2= 9 so 15-9= 6

Pears weight is 6 Ibs and

4 1/2 *2 would make the most sense

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A baseball team plays in a stadium that holds 50000 spectators. When the ticket price is $10, the average attendance is 27000. W
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Answer:

the answer is below

Step-by-step explanation:

Demand seems to be based on price.

Therefore we must consider two things:

that "x" is equal to the price and that "y" is equal to the average attendance.

Thus:

the two points would be:

(x1, y1) = (10,27000)

(x2, y2) = (6.39000)

The slope of a straight line is given by:

m = (y2-y1) / (x2-x1)

we replace:

m = (39000 - 27000) / (6 - 10) = 12000 / -4 = -3000

The equation of a straight line can be expressed like this

y = m * x + b.

where

m is the slope and b is the y-intercept.

we replace

y = -3000 * x + b.

To solve for b, replace x and y with the value of one of the points on the line.

We choose (6.39000). and we replace:

39000 = -3000 * 6 + b

39000 = -18000 + b

39000 + 18000 = b

b = 57000.

if we replace we have:

the equation becomes y = -3000 * x + 57000

since it is the demand and * x is the price.

t = d (x), therefore the equation becomes

d (x) = -3000 * x + 57000.

d (x) = 57000 - 3000 * x.

when x = 0, the price is 0 and the demand will be 57000, which will be more than the stadium can contain because the stadium can only contain 50,000.

So:

when x = 6, the price is 6 and the demand is 57000 - 18000 = 39000.

when x = 10, the price is 10 and the demand is 57000 - 30000 = 27000.

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3 years ago
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