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3 years ago

12

Diana usually drives at average rate of 30 mph. If she drives for 2 hours with the speed that is 10 mph more than usual, what di

stance will she cover?

1 answer:

Rashid [163]3 years ago

6 0

Answer: 80 miles

Step-by-step explanation:

10mph + 30mph = 40 mph

Distance = Speed × time

D = 40m/h × 2 h

D = 80 m

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Suppose that a factory manufactures only tables and chairs and that the profit on one chair is $15 and on the table is $20. Each

Leya [2.2K]

Answer:

The data we have is:

Profit per chair = $15

Profit per table = $20

Chair needs: 1 large pice, 2 small pieces.

Table needs: 2 large pieces, 2 small pieces.

You have 6 large pieces and 8 small pieces, and you want to maximize the profit.

Let's define:

T = # of tables

C = # of chairs.

Total profit:

P = C*$15 + M*$20

The number of chairs that you can make is given by:

0 ≤ C ≤ 4

If you make 4 chairs, the profit is:

P = 4*$15 = $60

And there will be 2 large pieces left.

Now for the tables.

0 ≤ T ≤ 3

If you make 4 tables, the profit will be:

P = 3*$20 = $60 (same as before)

And there will be two small pieces left.

Then we want to use a medium number of tables and chairs, we can not use the maximum for any of those, the first thing we should try is:

we ideally would want to use all the pieces that we have.

8 small, 6 large:

Then we can make:

2 tables: we use 4 large pieces and 4 small pieces.

T = 2

And we have left 2 large pieces and 4 small pieces.

The leftover is enough to make two chairs.

C = 2.

In this case, where we used all our materials, the profit will be:

P = 2*$15 + 2*$20 = $30 + $40 = $70

The profit is maximized when we make 2 tables and two chairs.

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3 years ago

The dictionary is 3 inches thick. What is the volume of the dictionary

Yuki888 [10]

Answer:

Square shaped = 27 cubic inches , Rectangular shaped = 3LW cubic Inches

Step-by-step explanation:

If the dictionary is a square ( all sides are equal ) the the volume is

V = Length * Length * Length = $L^{3}$

V = 3 * 3 * 3 = 27 $inch^{3}$

while if its rectangular ( all side are not equal ) shaped

V = Length * Width * Height (thickness)

V = L * W * 3 = 3LW $inch^{3}$

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3 years ago

What’s the height of the brace labeled h

aliya0001 [1]

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3 years ago

Find the distance and midpoint between (3,6) and (5,11)

zepelin [54]

Answer:

((3+5)/2,(6+11)/2)=(4,8.5)

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3 years ago

This system has one solution.

mr_godi [17]

Answer: It is 2.

Step-by-step explanation:

Make both equation equal to each other and solve for x, as following:

- Add like terms.

- Factor the equation.

$8x-14=x^{2}+4x-10\\x^{2}+4x-10-8x+14=0\\x^2-4x+4=0\\(x-2)(x-2)=0\\(x-2)^2=0\\x=2$

Substitute the value of x obtained into any of the original equations to obtain the y-coordinate.

Then, this is:

$y=8(2)-14\\y=16-14\\y=2$

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3 years ago

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