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3 years ago

7

Matt is raking leaves for his neighbors. It takes him 7/8 hour to rake one lawn. How long will it take Matt to rake the leaves f

or 6 neighbors? Write a multiplication sentence to sole.

1 answer:

Sonbull [250]3 years ago

5 0

It will take five hours and twenty five minutes

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Here is a picture of a cube, and the net of this cube.

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96 ft²

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Esteban is reading a book with 16 pages. He has read 9 pages so far. How many pages does Esteban have left to read? Write two eq

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3 years ago

Based on the regression output, which of the following is the predicted time, in minutes, that it took to gather the items if th

devlian [24]

Answer:

The predicted time, in minutes, that it took to gather the items if the order has 22 items is 63.8905 minutes

Step-by-step explanation:

Regression Output :

Predictor Coefficient

Constant 3.0979

Square root of items 2.7633

R.sq.- 96.7%

So, with this data the regression equation is,

$\hat{y}=3.0979+2.7633x$

Now we are supposed to find the predicted time, in minutes, that it took to gather the items if the order has 22 items

Substitute x =22 in equation

$\hat{y}=3.0979+2.7633(22)$

$\hat{y}=63.8905$

Hence the predicted time, in minutes, that it took to gather the items if the order has 22 items is 63.8905 minutes

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3 years ago

A company’s profit in dollars is modeled by the equation p(x) = –0.5x2 + 100x, where x represents the number of units sold.

serg [7]

Answers:

a. The company needs to sell 100 units to reach the maxmum profit.

b. The company's maximum profit is $5,000.

Solution:

a. How many unit does the company need to sell to reach the maximum profit?

p(x)=-0.5x^2+100x

This is a quadratic equation, and its graph is a parabola vertical (because the veriable "x" is square). Comparing with the general form:

p(x)=ax^2+bx+c; a=-0.5, b=100, c=0

a=-0.5<0 (negative), then the parabola opens downward, and it has a maximimun value (maximum profit) at its vertex.

We can find the abscissa of the vertex (units that the company needs to sell to reach the maximum profit using the following formula:

x=-b/(2a)

Replacing b by 100 and a by -0.5 in the formula above:

x=-100/[2(-0.5)]

x=-100/(-1)

x=100

The company needs to sell 100 units to reach the maximum profit.

b. What's the company's maximum profit?

To determine the maximum profit we substitute the value of "x" obrained in part "a" in the quadratic equation:

x=100→p(100)=-0.5(100)^2+100(100)

p(100)=-0.5(10,000)+10,000

p(100)=-5,000+10,000

p(100)=5,000

The company's maximum profit is $5,000.

6 0

3 years ago