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SVETLANKA909090 [29]
3 years ago
12

What property is demonstrated with this equation? 2/3(1)=1(2/3)=2/3

Mathematics
1 answer:
balu736 [363]3 years ago
6 0
Distributive property
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Julie and Eric row their boat (at a constant speed) downstream for 40 miles in 4 hours, helped by the current. Rowing at the sam
Liula [17]

Answer: 3 miles per hour

<u>Step-by-step explanation:</u>

Use the formula "distance (d) = rate (r) x time (t)" to create a system of equations.

Let "r" represent the rate they are rowing

Let "c" represent the current

                            time          rate      distance        <u>EQUATION</u>

Downstream:     4 hours     r + c       40 miles         4(r + c) = 40

Upstream:         10 hours    r - c        40 miles         10(r - c) = 40


Distribute, then eliminate r to solve for c:

Down: 4r + 4c = 40  →   5(4r + 4c = 40)  →   20r + 20c = 200

  Up: 10r - 10c = 40  → -2(10r - 10c = 40) → <u>-20r + 20c</u> =<u>  -80</u>

                                                                                40c = 120

                                                                              <u> ÷40  </u>  <u>÷40 </u>

                                                                                    c =   3

4 0
2 years ago
A park has a 3m tall tetherball pole, and a 6.8m tall flagpole. The lengths of their shadows are proportional to their heights.
vlada-n [284]

Complete question is;

A park has a 3 meter tall tether ball pole and a 6.8 m tall flagpole. The lengths of their shadows are proportional to their heights.

Which of the following could be the lengths of the shadows?

Choose 2 answers from the options attached.

Answer:

Options B & D

Step-by-step explanation:

From the question, the proportional relationship between the height and shadow length is a direct proportionality. This means that an increase in the height, leads to an increase in the length of shadow and vice versa. Thus, the height to shadow length ratio is a constant.

Now, if we use x and y to denote length of shadow of tether ball pole and length of flagpole receptively, we will have;

3/x = 6.8/y

Let's make y the subject.

y = 6.8x/3

Looking at the options;

Option A: When x = 1.35 m, we have;

y = (6.8 × 1.35)/3 = 3.06 m

For Option B:

When x = 1.8 m,

y= (6.8 × 1.8)/3 = 4.08 m

For Option C:

When x= 3.75 m,

y = (6.8 × 3.75)/3 = 8.5 m

For option D:

When x = 0.6

y = (6.8 × 0.6)/3 = 1.36 m

For option E;

When x = 2,

y = (6.8 × 2)/3 = 4.533 m

From our calculations, the only values of y that correspond with the given value of y in the options are Options B & D

5 0
3 years ago
Justin ran 5.5 miles in 49.5 minutes. On average, how many minutes did it
olchik [2.2K]
49.5/ 5.5
= 9 minutes to run one mile
8 0
2 years ago
What is equal to 6,530,000,000?
dsp73
Gee wiz man I don't know. that is a really big number. have you tried google? :/
5 0
3 years ago
At the start of the month, Suzanne's clothing store website had 7,278 hits. At the end of the month, it had 50,165 hits. If each
anyanavicka [17]

Answer:

  • <u><em>Option A. 64,500</em></u>

Explanation:

1. First, calculate the number of hits had during the month, by difference:

  • 50,165 hits - 7,278 hits = 42,887 hits

2. Round the result to obtain an approximation = 43,000 hits

3. Multiply by the time that each lasted:

  • 43,000 hits × 1.5 min/hit = 64,500 minutes.

Hence, the answer is the option A.

3 0
2 years ago
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