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notsponge [240]
3 years ago
7

700 miles the train takes 5 hours to a travel the distance at what unit rate is the train traveling?

Mathematics
1 answer:
dalvyx [7]3 years ago
5 0

Answer:

The rate is 140 miles per hour

Step-by-step explanation:

We can use the formula distance is equal to rate times time

The distance is 700 miles and the time is 5 hours

D =rt

700 = r*5

Divide each side by 5

700/5 = 5r/5

140 =r

The rate is 140 miles per hour

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Write a function with a zero of 1/2. Explain how you know.
AysviL [449]

Answer:

Simplest function is f(x) = 2x - 1

Step-by-step explanation:

When a function has a zero, simply put, that point is where the graph goes through the x-axis.  At this point, the y value is 0.

If a function has a 0 of 1/2, that translates to x = 1/2 and also (1/2, 0).  That means that y = 0 when x = 1/2.

If x = 1/2 and is a zero, then x - 1/2 = 0 and 2x - 1 = 0 (notice that y = 0 here and solving for x would get you right back to x = 1/2).

The simplest function with a zero of 1/2 is

f(x) = 2x - 1

You know it is true that the zero is 1/2 for two reasons.  First one is to set the right side equal to 0 and solve for x.

The second one is to graph the line y = 2x - 1 and see that it goes through the x axis at 1/2 where y = 0.

5 0
3 years ago
A bag of candy includes pieces with different colors as shown in the table.
zvonat [6]

Part A: About 0.21

      We will put the wanted outcome (yellow pieces of candy) over the total number of possible outcomes (total pieces of candy).

\frac{5}{3+6+5+2+8}

\frac{5}{24}

   About 0.21

Part B: About 50

      First we will do the same as we did with the yellow pieces of candy, wanted outcomes over possible outcomes.

\frac{6}{3+6+5+2+8}

\frac{6}{24}

0.25

      Now, we will multiply the total 200 pieces by 0.25 since 0.25 of them are estimated to be green.

200 * 0.25 = 50

    I estimate about 50 of the pieces to be green.

6 0
2 years ago
Which of the following transactions results in a decrease in the return on assets ratio?
posledela

The options are

A. Increasing the sales price of the products sold.

B. An increase in the net profit margin ratio.

C. Purchasing land by signing a long-term note payable.

D. Collecting cash from an account receivable.

<u>Answer:</u>

Purchasing land by signing a long term note payable will decrease the return on assets ratio will result in a decrease in the return on assets ratio.

Option C

<u>Explanation:</u>

Return on assets ratio shows the profit percentage that a company or business entity earns in accordance to its overall resources. It is calculated by the following formula,

\text{ Return on assets }= \frac{ \text{Net income} }{ \text{Average total assets} }

Purchasing a land will increase the average total assets of the company. Here in accordance with the formula, if the denominator increases and the numerator remains the same, it will ultimately decrease the quotient i.e. the return on assets.

<u>Other options:</u>

A. Increasing the sales price of the products sold - This will increase the net income which would result in the increase of ROA.

B. An increase in the net profit margin ratio - This will also increase the net income which would lead to the increase of ROA.

D. Collecting cash from an account receivable - accounts receivable will  neither affect the net income nor the average total assets. Therefore, the ROA will remain the same.

7 0
3 years ago
There are 4 cups of flour in 3 batches of cookies . How many cups are in one batche.
s344n2d4d5 [400]

Answer: Around 1.33 Cups per batch

Step-by-step explanation:

4 / 3 ≈ 1.33

4 0
4 years ago
Read 2 more answers
Belinda is making doughnuts. If the recipe calls for 2 cups of sugar, and each cup of sugar weighs
lana [24]
The answer is b hope this helps
7 0
3 years ago
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