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Nitella [24]
3 years ago
14

PLEASE HELP, I DONT UNDERSTAND THIS.....Michael is laying carpet in a perfectly rectangular hall. The area of the hall is 240 sq

uare feet, and the width of the hall is 6 feet. How long is the hall?
Mathematics
2 answers:
Setler79 [48]3 years ago
8 0

Answer:

40 feet

Step-by-step explanation:

We know that the area of a rectangle is represented as lw=a, where l is the length and w is the width.

We already know the width, and we know the area, so we can plug these values into the equation.

l\cdot 6 = 240

Our goal is to now isolate the variable l, and to do this we can divide both sides by 6.

(l\cdot6) \div6 = 240\div6\\\\l = 40

Hope this helped!

Alik [6]3 years ago
8 0

Answer:

l=a/w

Step-by-step explanation:

Length equals area divided by width.

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5y + 3 = 8y − 5 + 2y
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Answer:

\fbox{y = 8/5 }

Explanation:

[to solve for y, first use the properties of equality to simplify the equation]

5y + 3 = 8y − 5 + 2y

5y + 3 = (8y + 2y) – 5

[regroup the like terms of y together: commutative property of equality ; adding in a different order will still give you the same result]

5y + 3 = 10y – 5

[combine like terms]

5y + 3 = 10y – 5

\: \: \: \: \: \: -3 \: \: \: \: \: \: \: \: \: \: \: -3

[subtract 3 from both sides in order to eliminate the constant term on the left side: subtraction property of equality]

5y = 10y – 8

–10y –10y

[subtract 10 from both sides in order to eliminate the variable term: subtraction property of equality]

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÷(-5) ÷(-5)

[divide both sides by -5 to cancel out the coefficient of y: division property of equality]

y = 8/5

7 0
2 years ago
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Michael pays $30 to enter a state fair, plus $4 for each ride. Which of the following equations represents his total cost? A. y=
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He spends 30 to enter and 4 per ride

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4 0
3 years ago
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The city of Raleigh has 11700 registered voters. There are two candidates for city council in an upcoming election: Brown and Fe
Vesnalui [34]

Answer:

The sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.308.

The expected numbers of voters who would vote for Brown is 3604.

Step-by-step explanation:

The sample statistic is a numerical quantity used to represent a characteristic of a sample. For example, sample mean is a sample statistic representing the average of the sample. Or, sample proportion is a sample statistic representing the proportion of a particular variable in the sample. Or sample variance is a sample statistic representing the variance of the sample.

The sample statistic can be used to estimate the population parameter.

They are known as the point estimate of the parameter.

The sample proportion of a variable <em>X</em> is given by:

\hat p=\frac{X}{n}

It is provided that of the <em>n</em> = 250 registered voters selected, the number of voters who said they would vote for Brown is <em>X </em>= 77.

Compute the sample statistic for the proportion of voters surveyed who said they'd vote for Brown as follows:

\hat p=\frac{X}{n}

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Thus, the sample statistic for the proportion of voters surveyed who said they'd vote for Brown is 0.308.

Compute the expected number of people of the 11700 registered voters who would vote for Brown as follows:

E(X)=N\times \hat p

         =11700\times 0.308\\=3603.6\\\approx 3604

Thus, the expected numbers of voters who would vote for Brown is 3604.

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900+80+7000=7980

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