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Anastaziya [24]
3 years ago
8

Derek runs 4 laps around the track. If each lap around the track is 0.25 miles long, and he starts and stops in the same locatio

n, what is Derek's displacement? A) 0.5 miles. B) 0 miles. C) 1.0 miles. D) 0.25 miles
Mathematics
1 answer:
Alex3 years ago
8 0
The answer is B) 0 miles. Because displacement is the shortest distance between starting point and ending point. Since, his starting point and ending point is the same, hence, his displacement is 0 miles.
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You are a furniture restorer who is mixing a solution of olive oil and lemon juice. The solution is for polishing wooden furnitu
zzz [600]

The correct answer is A. 1.5 cups

Explanation:

The total of polishing wooden furniture is equivalent to the total of olive oil plus the total of lemon juice. Additionally, in this case, the result should be given in cups. First, let's consider the values given.

50% of a cup of lemon juice + 25% of a quart with olive oil

The first quantity 50% of a cup of lemon indicates half cup of lemon was added, which is equivalent to 0.5 cups as 1 cup = 100% of a cup and 50% is the half.

Now, the second quantity is provided in quarts, which is not the same as a cup. Indeed 1 quart is equivalent to 4 cups, which represents 100%. This means 100% = 4 cups. Now, to calculate the 25% follow this procedure.

1. Write the values

4  =  100 (total  percentage)

x =    25 (percentage to be calculated

2. Solve this by using cross multiplication

x100 = 4 × 25

x100 = 100

x = 100 ÷ 100

x = 1 (cups in 25%)

This means 1 cup of olive oil was added and this plus 0.5 cup of lemon juice is equivalent to 1.5 cups of solution.

6 0
3 years ago
Great Dish believes that it will need new equipment in 8 years. The equipment will cost $26,000. What lump sum should be investe
xenn [34]

Answer:

d. $10,234.80

Step-by-step explanation:

we are given

The equipment will cost $26,000

so, Amount is $26000

A=26000

should be invested today at 12%

r=12%=0.12

It is compounded semiannually

so, n=2

t=8

now, we can use formula

A=P(1+\frac{r}{n})^{nt}

now, we can plug values

26000=P(1+\frac{0.12}{2})^{2\times 8}

now, we can solve for P

P=10234.80338

8 0
3 years ago
Julie's MP3 player contains 860 songs. If 20% of the songs are rap songs and 15% of the songs are R&B songs, how many of the
docker41 [41]
Total number of songs in Julie's MP3 player = 860
Percentage of rap songs in Julie's MP3 player = 20%
Then
Number of rap songs in Julie's MP3 player = (20/100) * 860
                                                                     = 860/5
                                                                     = 172
Percentage of R&B songs in Julie's MP3 player = 15%
Then
Number of R&B songs in Julie's MP3 player = (15/100) * 860
                                                                        = 1290/10
                                                                         = 129
So
The number of other types of songs in Julie's MP3 player = 860 - (172 + 129)
                                                                                             = 860 - 301
                                                                                             = 559
So the number of other types of songs in Julie's MP3 player was 559.
5 0
2 years ago
Read 2 more answers
A bucket holds 756 ounces (oz.) of water when full. The bucket loses 0.7 oz. Of water every second. In how many seconds will the
Scorpion4ik [409]

Answer:

648 seconds

Step-by-step explanation:

First we need to see how much 60% of 756 is, so we multiply 756 × 0.60 and we get 453.6, so we now just need to see in how many seconds (0.7) we will get 453.6 oz, so we simply divide 453.6 ÷ 0.7 = 648. This is your answer. We can check this by multiplying 648 × 0.7 and getting 453.6

3 0
3 years ago
Alexia has decided to paint one of her walls as an accent wall. She lives in an older house, with
jek_recluse [69]
Can you post the picture or the wall shape?
5 0
2 years ago
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