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lana [24]
3 years ago
6

The area of a lawn is 500 square feet the length is 5 feet longer then the width what are the length and width of the lawn

Mathematics
2 answers:
Oliga [24]3 years ago
6 0

Answer:

width: 20, length: 25

Step-by-step explanation:

area = length x width

since length is 5 feet longer than the width, length = width + 5

so we can replace length with width + 5

500 = (width + 5) x width

500 = w^2 + 5w

0 = w^2 + 5w - 500

w = 20, w = -25

width cannot bc -25 since you cannot have negative width

since width is 20, length is 25 since length = width + 5

width = 20, length = 25

Alona [7]3 years ago
5 0

Step-by-step explanation:

area is base x height so 5 x 100 because as I said area is base x height.

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How many inches are in 14 feet, 8 inches? Enter only the number. Do not include units
blagie [28]

Answer:

176

Step-by-step explanation:

14x12 = 168 + 8 = 176

8 0
3 years ago
A cheese processing company wants to estimate the mean cholesterol content of all one-ounce servings of a type of cheese. The es
Mrrafil [7]

Answer:

The minimum sample size required to construct a 95% confidence interval for the population mean is 65.

Step-by-step explanation:

We are given the following in the question:

Population standard deviation,

\sigma = 3.10\text{ milligrams}

We need to construct a 95% confidence interval such that the estimate is within 0.75 milligrams of the population mean.

Thus, the margin of error must me 0.75

Formula for margin of error:

z_{critical}\times \dfrac{\sigma}{\sqrt{n}}

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting values, we get,

0.75 = 1.86\times \dfrac{3.10}{\sqrt{n}}\\\\\sqrt{n} = \dfrac{1.96\times 3.10}{0.75}\\\\\sqrt{n} = 8.101\\\Rightarrow n = 65.63\approx 65

Thus, the minimum sample size required to construct a 95% confidence interval for the population mean is 65.

5 0
3 years ago
a student Miss 10 problems on an English test and received a grade of 44%. If all the problems were of equal value, how many pro
eimsori [14]

Answer:

Rounded to the nearest integer, the test had 18 problems in all.

Step-by-step explanation:

Given that a student missed 10 problems on an English test and received a grade of 44%, if all the problems were of equal value, to determine how many problems were on the test the following calculation must be performed:

100 - 44 = 56

56 = 10

100 = X

100 x 10/56 = X

1,000 / 56 = X

17.85 = X

Thus, rounded to the nearest integer, the test had 18 problems in all.

5 0
3 years ago
Write a positive or negative integer that represents the situation. You earn $15 raking leaves. The integer represents the situa
beks73 [17]

Answer:

+$15

Step-by-step explanation:

Amount earned for raking leaves = $15

Representing the amount earned above. As a positive or negative integer will depend on what the money is used for or stands for.

Amount earned for working adds to one's wealth while expenses will be represented as negative as it decreases the amout one has ;

Hence, integer ; +$15

8 0
3 years ago
0.000000452 in scientific notation
Marta_Voda [28]

Answer:

4.52 x 10^-7

Step-by-step explanation:

you have a very small number (numbers to right of decimal) so you're exponent will be negative.

5 0
3 years ago
Read 2 more answers
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