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Korvikt [17]
2 years ago
12

A cyclist estimates that he will bike 80 miles this week. He actually bikes 75.5 miles. What is the percent error of the cyclist

's estimate? Round the percent to the nearest hundredth if necessary.
Mathematics
1 answer:
maw [93]2 years ago
5 0

Answer:

<em>The percent error of the cyclist's estimate is 5.63%</em>

Step-by-step explanation:

<u>Percentages</u>

The cyclist estimates he will bike 80 miles this week, but he really bikes 75.5 miles.

The error of his estimate in miles can be calculated as the difference between his estimate and the real outcome:

Error = 80 miles - 75.5 miles = 4.5 miles

To calculate the error as a percent, we divide that quantity by the original estimate and multiply by 100%:

Error% = 4.5 / 80 * 100 = 5.625%

Rounding to the nearest hundredth:

The percent error of the cyclist's estimate is 5.63%

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In a mixture of​ concrete, there are fourfour lb of cement mix for each pound of gravel. If the mixture contains a total of 2952
Anton [14]

Answer: there are 59059 lbs of gravel.

Step-by-step explanation:

In a mixture of​ concrete, there are four lbs of cement mix for each pound of gravel. This means that eight lbs of cement would be mixed for 2 pounds of gravel and 12 lbs of cement would be mixed for 3 pounds of gravel and 12. Therefore, the constant ratio of cement to gravel is 4:1

The total ratio is 4 + 1 = 5

If the mixture contains a total of 295295 lb of these two​ ingredients, then the number of pounds of gravel that are​ there is

1/5 × 295295 = 59059 lbs

3 0
2 years ago
What is average unit rate for 200/12.54
Nadusha1986 [10]

Answer:

Approximately 16.

Step-by-step explanation:

If you just divide 200/12.54, you get about 15.9 which rounds to 16.

3 0
3 years ago
The first term of an arithmetic sequence is -2. The eighth term of the sequence is 26. What is the common difference of the arit
andreev551 [17]

Answer:

d = 4

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₁ = - 2 and a₈ = 26 , then

- 2 + 7d = 26 ( add 2 to both sides (

7d = 28 ( divide both sides by 7 )

d = 4

8 0
3 years ago
Read 2 more answers
Working out as well please. Thanks
dimulka [17.4K]
6.1/5 is bigger because 100÷5=20 7.1% of 40=0.4 × 20= 8 40+8 = 48 8=?? Hope this helps
7 0
2 years ago
Select all the common denominators for 8/3 and 5/6 .......12, 24, 32, 36, 48
BabaBlast [244]
Hello.

The answer to your question is = 
12, 3 x 4 and 6 x 2.
24, 3 x 8 and 6 x  4.
36, 3 x 12 and 6 x 6.
48, 3 x 16 and 6 x 8.

So it's pretty much everything except for 32.
Have a great day!
6 0
3 years ago
Read 2 more answers
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