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2 years ago

9

Nelson is fixing up office and must spend less than $7,500 to hire carpenters and painters. Carpenters charge $28 per hour and p

ainters charge $32 per hour

1 answer:

bogdanovich [222]2 years ago

6 0

Answer:

A. $28x+32y$

B.199 hours

Step-by-step explanation:

Let carpenters work for x hours and painters work for y hours.

Nelson must spend money <$7500

Carpenters charge per hour=$28

Painters charge per hour=$32

A.We have to write inequalities which represents this situation

According to question

$28x+32y$

B.If hires carpenters work for total time=40 hours

We have to find the maximum number of hours for which painters can work without exceeding the budget.

Substitute the value in above inequality equation then, we get

$28(40)+32y$

$1120+32y$

Subtracting 1120 on both sides

$32y$

$32y$

Divide by 32 on both sides then we get

$y$

$y$

Hence,painters can work for maximum 199 hours.

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Smallville High School scored more than 30 points in their last football game entirely from safeties and field goals. (In

Reika [66]

Inequalities help us to compare two unequal expressions. The inequality for this scenario in standard form is 2x + 3y > 30.

<h3>What are inequalities?</h3>

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

Let the safety counts be represented by x, while the field goal count is represented by y.

Part A: The inequality for this scenario in standard form.

2x + 3y > 30

Part B: The inequality in slope-intercept form.

2x + 3y > 30

3y > 30 - 2x

y > 10 - (2/3)x

y < (2/3)x - 10

PartC: The inequality is represented below.

Learn more about Inequality:

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7 0

1 year ago

6/8=y/16 how do you find the proportion of value y

Katarina [22]

You can set both fractions to have the same denominator by multiplying 6/8 (both the 6 and 8) by 2 to keep the value of the fraction, while turning the denominator to 16. So you get 12/16=y/16.
That means for the equation to be true y has to be 12.

Hope this helps!

4 0

3 years ago

Help please!!!!!!!!!

Alenkasestr [34]

Answer:

B. $x^{2}$ - 4x - 5

Step-by-step explanation:

(p о n) (x) is the same thing as (p(n(x))

We know n(x) = x - 5, so let's input that into our expression

(p(x - 5))

Since we know p(x) = x^2 + 6x, let's replace the x with the new value x-5. Now our expression is:

p(x) = (x - 5)^2 + 6(x - 5)

Now all we have to do is simplify.

(x - 5)^2 is the same as: (x - 5)(x - 5)

Using the foil method, it simplifies to: x^2 - 10x + 25

6 (x - 5) = 6x - 30

Now our expression is: x^2 - 10x + 25 + 6x - 30

Combine like terms: x^2 - 4x - 5

The expression is: $x^{2}$ - 4x - 5

5 0

2 years ago

1) Lithium isotope rations are important to medicine, the 6Li/7Li ratio in a standard reference material was measured several ti

uysha [10]

Answer:

1) $0.0826052-2.776\frac{0.000013424}{\sqrt{5}}=0.082588$

$0.0826052+2.776\frac{0.000013424}{\sqrt{5}}=0.0826219$

b) $ME= 2.776\frac{0.000013424}{\sqrt{5}}=0.0000166653$

And we want 2/3 of the margin of error so then would be: $2/3 ME = 0.00001111$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And on this case we have that ME =0.00001111016 and we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (2)

Replacing we got:

$n=(\frac{2.776(0.000013424)}{0.00001111})^2 =11.25 \approx 12$

So the answer for this case would be n=12 rounded up to the nearest integer

Step-by-step explanation:

Information given

0.082601, 0.082621, 0.082589, 0.082617, 0.082598

We can calculate the sample mean and deviation with the following formulas:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

$s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$\bar X=0.0826052$ represent the sample mean

$\mu$ population mean

s=0.000013424 represent the sample standard deviation

n=5 represent the sample size

Part 1

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom, given by:

$df=n-1=5-1=4$

The Confidence level is 0.95 or 95%, and the significance would be $\alpha=0.05$ and $\alpha/2 =0.025$ , the critical value would be using the t distribution with 4 degrees of freedom: $t_{\alpha/2}=2.776$

Now we have everything in order to replace into formula (1):

$0.0826052-2.776\frac{0.000013424}{\sqrt{5}}=0.082588$

$0.0826052+2.776\frac{0.000013424}{\sqrt{5}}=0.0826219$

Part 2

The original margin of error is given by:

$ME= 2.776\frac{0.000013424}{\sqrt{5}}=0.0000166653$

And we want 2/3 of the margin of error so then would be: $2/3 ME = 0.00001111$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And on this case we have that ME =0.00001111016 and we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (2)

Replacing we got:

$n=(\frac{2.776(0.000013424)}{0.00001111})^2 =11.25 \approx 12$

So the answer for this case would be n=12 rounded up to the nearest integer

3 0

3 years ago

Pls help............

klemol [59]

Answer: Your picture will not show up, can you post again?

Step-by-step explanation:

5 0

2 years ago