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3 years ago

A piece of plywood at Pat's Lumber Yard costs $30. If the length of the plywood is 5 feet, what must the width be?

Mathematics

1 answer:

son4ous [18]3 years ago

8 0

Answer:

4 inches

Step-by-step explanation:

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Two buses leave a station at the same time and travel in opposite directions. One bus travels 15 /kmh faster than the other. If

Nat2105 [25]

Since the buses travel in opposite directions, the speed at which they distance themselves is the sum of their speeds.
One bus travels at speed s.
The other bus travels at speed s + 15.
The sum of the speeds is s + s + 15 = 2s + 15

speed = distance/time

distance = speed * time

366 = (2s + 15) * 2

183 = 2s + 15

168 = 2s

s = 84

The slower bus travels at 84 km/h.

s + 15 = 84 + 15 = 99

The faster bus travels at 99 km/h.

Check:
In 2 hours, the slower bus travels 2 * 84 km = 168 km
In 2 hours, the faster bus travels 2 * 99 km = 198 km
In 2 hours, the buses are 198 km + 168 km = 366 km apart.
Our answer is correct.

6 0

2 years ago

The price of a stock decreased by 60 cents one week, decreased 10 cents the next week, and decreased another 20 cents the follow

mel-nik [20]

Hi there! Hopefully this helps!

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It decreased by 30 cents per week.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The average rate of change is calculated as:

the ratio of the sum of the change in the three weeks divided by the number of weeks. (The number of weeks being 3)

Rate of change = $\frac{-60 -10 -20}{3}$ .

(-60 + -10 + -20 = -90). So, to simplify it:

$\frac{-90}{3}$ = -30

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Incase you are confused:

Since the average rate of change is negative, this means that the stock price has decreased.

3 0

2 years ago

How do you solve and simplify

DedPeter [7]

F(x) = 1/(x+2) & g(x) = x/(x-3)

(f(x) + g(x) = 1/(x+2) + x/(x-3). Reduce to same denominator:

1/(x+2) + x/(x-3) =(x-3) + x(x-3)/(x+2).(x-3) ==> (x²+3x-3)/(x+2).(x-3)

7 0

2 years ago

Find the final total value of a 10-year investment of $3600 at a simple annual rate of

joja [24]

Answer:kk

The final balance is $4,590.35.

The total compound interest is $990.35.

Step-by-step explanation:

5 0

2 years ago

3x + 4y = 8 Is it linear? If so how do I graph it

VikaD [51]

Yes it is linear
It is a negative slope
I am attaching pic of graph
The slope is -3/4
Y intercept is (0,2)

8 0

2 years ago