Find the sum of like terms 7y+2y

Nina heard that as a general rule, she should spend no more than one week's pay on rent. If Nina's pay is $27,600 per year, what

SIZIF [17.4K]

52 weeks in a year

27600/52 = 530.769

so 1 weeks pay = 530.77

she shouldn't pay more than that on rent

(Round answer as needed)

8 0

3 years ago

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Resistors. An electrical engineer has two boxes of resistors, with four resistors in each box. The resistors in the first box ar

Dafna11 [192]

Answer:

A. Sample Space = S = {(9, 18),(9, 19),(9, 20),(9, 21),(10, 18),(10, 19),(10, 20),(10, 21),(11, 18),(11, 19),(11, 20),(11, 21),(12, 18),(12, 19),(12, 20),(12, 21)}

B. {(9, 18),(10, 18),(11, 18),(12, 18)}

C. {(9, 18),(9, 19),(10, 18)}

D. {(9, 18),(9, 19),(10, 18),(11, 18),(12, 18)}

E. B(complement) ∩C = {(9, 19)}

Step-by-step explanation:

The Sample Space would contain each element of the box A associated with each element of the box B.

A. Sample Space = S = {(9, 18),(9, 19),(9, 20),(9, 21),(10, 18),(10, 19),(10, 20),(10, 21),(11, 18),(11, 19),(11, 20),(11, 21),(12, 18),(12, 19),(12, 20),(12, 21)}

B. Let the Outcomes in the event B, the event that the second resistor has a resistance less than 19 be denoted by J then

J= {(9, 18),(10, 18),(11, 18),(12, 18)}

C. Let the outcomes in the event C, the event that the sum of the resistances is equal to 28 be denoted by L then

L = {(9, 18),(9, 19),(10, 18)}

D. The outcomes in B∪C contains all the elements of B and C

B∪C=J∪L= {(9, 18),(9, 19),(10, 18),(11, 18),(12, 18)}

E. B complement contains those elements of the Sample Space which are not the elements of Set B.

B complement= S-B= {(9, 19),(9, 20),(9, 21),(10, 19),(10, 20),(10, 21),(11, 19),(11, 20),(11, 21),(12, 19),(12, 20),(12, 21)}

B(complement) ∩C contains those elements of B and C which are common to both B complement and C.

B(complement) ∩C = {(9, 19)}

4 0

3 years ago

Jesse is sanding a circular wooden table that has a diameter of 6 ft. She can sand 5 square feet every hour. At this rate, appro

Ilya [14]

The time it will take Jesse to finish sanding the table is approximately 22.61 hours.

<h3>How to find the area of a circle?</h3>

Suppose the circle has radius of 'r' units, then, its area is given as:

$A = \pi \times (r)^2$ sq. units

Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:

$A = \pi \times (\dfrac{d}{2})^2$ sq. units

For the given case, sanding being done needs to be equal to the area of the circular table, as it has to be done for whole table's surface, which is circular, and area of sanding done will be equal to the area of that circular table.

The area of table(diameter given as 6 ft) is: $A = \pi \times (\dfrac{d}{2})^2 \approx 3.14 \times 6^2 = 113.04 \: \rm ft^2$

Since Jesse does 5 sq. feet per hour, let she takes T hours time to finish sanding the table, then we have:

$\rm T \times 5\: ft^2 = A \approx 113.04 \: ft^2\\\\\text{Dividing all sides by 5, we get}\\\\T = \dfrac{113.04}{5} \approx 22.61 \: hours$

(since 5 sq. feet in 1 hours, then in T hours, T times 5 sq. feet will be done which is equal to area of table, as in approx T hours, she finishes sanding the table)

Thus, it will take approx 22.61 hours for Jesse to finish sanding the table.

Learn more about area of circle here:

brainly.com/question/13056790

8 0

2 years ago

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Mr. Arellano decided to make cookies for 7th grade students. He was supposed to mix 4 cups of flour, 1.2 cups of sugar, and 2.5

Ahat [919]

Answer:

0.6 cups of sugar and 1.25 cups of chocolate chips

Step-by-step explanation:

We can begin to solve this problem with a simple proportion:

$\frac{4}{2}$ = $\frac{1.2}{x}$ = $\frac{2.5}{y}$

(x = the new # of sugar y = new # of chocolate chips)

In order to keep everything proportional, we must abide by the scale factor shown with the the flour.

Basically, if we're going to use three times the amount of flour we actually need, then we need to triple all our other ingredients.

We can see that the scale factor is one half, so

x = 1.2 * 0.5

and

y = 2.5 * 0.5

This means that:

x = 0.6

y = 1.25

This means that he has to use 0.6 (or 3/5) cups of sugar and 1.25 (or 9/8) cups of chocolate chips.

8 0

3 years ago

The population of weights for men attending a local health club is normally distributed with a mean of 178-lbs and a standard de

V125BC [204]

Answer:

183.4286 lbs

Step-by-step explanation:

given that the population of weights for men attending a local health club is normally distributed with a mean of 178-lbs and a standard deviation of 25-lbs.

Total weight in the lift should not exceed 6420 lbs

No of persons limited = 35

Hence average weight of the person that should be below

$\frac{6420}{35} \\=183.4286$

If the average exceeds 183.4286 pounds then the elevator would be considered overloaded.

6 0

3 years ago