A gallon of stain is enough to cover 200 square feet of decking. Bradley has two areas of decking he would like to cover with stain. One rectangular area is 23 feet by 10.4 feet, and the other is 10.5 feet by 7.2 feet. Which expression gives the number of gallons of stain Bradley will need?
Left-bracket (23) (10.5) + (10.4) (7.2) right-bracket divided by 200
Left-bracket (23) (10.4) + (10.5) (7.2) right-bracket divided by 200
Left-bracket (23) (10.5) + (10.4) (7.2) right-bracket times 200
Left-bracket (23) (10.4) + (10.5) (7.2) right-bracket times 200

Answers

Answer 1

The expression that we need to get is:

[tex]N = \frac{(23)*(10.4) + (10.5)*(7.2)}{200}[/tex]

So the correct option is the second one.

Which expression gives the number of gallons of stain Bradley will need?

We know that 1 gallon is enough to cover 200 ft².

We have two rectangular areas, one of:

23 feet by 10.4 feet, and other of 10.5 feet by 7.2 feet.

Then the total area is:

A = (23 ft)*(10.4 ft) + (10.5ft)*(7.2 ft)

The number of gallons needed is given by the quotient between the area that we want to cover, and the area that covers one gallon, so the expression is:

[tex]N = \frac{(23ft)*(10.4ft) + (10.5ft)*(7.2ft)}{200ft^2} \\\\N = \frac{(23)*(10.4) + (10.5)*(7.2)}{200}[/tex]

So the corerect option is the second one.

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Related Questions

identify the following equations as one solution , no solution or infinite solutions 6x + 9 -x=3x+9+ x

Answers

Answer:

no solution

Step-by-step explanation:

Answer:

Step-by-step explanation:

5x+9= 4x+9

x=0

so one solution

Each wheel on Nina's car has has a diameter of 18 inches.Which expression could be used to find the circumference of the wheel?

Answers

Answer:

56.548667764616276

Step-by-step explanation:

Multiply the diameter by pi.

C= 18 x 3.14159265

Hope this helps!



F= 200 lbs, d = 10 ft, How much work is performed?

Answers

Answer:

Step-by-step explanation:

Work = (force) x (distance)

= (200 lb) x (10 ft)  =  2,000 ft-lbs .

Yesterday,
5/8
of the 72 students in a contest gave their speeches. How many students gave their speeches?
Write your answer in simplest form?

Answers

Answer:

45

Step-by-step explanation:

5 divided by 8, multiply by 72

=(5÷8)72

=(0.625)72

=45

Find the equation of the line
Use exact numbers

Answers

The answer is y = x - 5

Sub in 0 to find the y intercept, and count rise over run to find the slope (1)

Answer:

y = 1x + -5

Step-by-step explanation:

slope-intercept form is y = mx + b, where m = slope and b = y-intercept.

the line touches the y-axis at -5, therefore the y-intercept, or b, is -5.

y = mx + b ⇒ y = mx - 5

now i'll find the slope by picking two points from the line and finding the change in y over the change in x, aka [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. i'll use the points (8, 3) and (5, 0)  from the line in order to calculate the slope. (8, 3) can be my [tex]x_2[/tex] and [tex]y_2[/tex] and (5, 0) can be my [tex]x_1[/tex] and [tex]y_1[/tex].

first, i'm going to plug in my [tex]y_2[/tex] and [tex]y_1[/tex] values, which are the y-values from each of the coordinate pairs. since i picked (8, 3) for [tex]x_2[/tex] and [tex]y_2[/tex] and (5, 0) for [tex]x_1[/tex] and [tex]y_1[/tex], i will be plugging in 3 for [tex]y_2[/tex] and 0 for [tex]y_1[/tex].

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex] ⇒ [tex]\frac{3-0}{x_2-x_1}[/tex]

then i'll plug in my [tex]x_2[/tex] and [tex]x_1[/tex] values, which will be 8 and 5.

[tex]\frac{3-0}{x_2-x_1}[/tex] ⇒ [tex]\frac{3-0}{8-5}[/tex]

now simplify by subtracting 0 from 3 and 5 from 8.

3 - 0 = 38 - 5 = 3

the slope is [tex]\frac{3}{3}[/tex], which simplifies to 1 because [tex]\frac{3}{3}[/tex] or  3 ÷ 3 = 1.

the slope-intercept form equation for this line is y = 1x + -5 (or just y = x - 5, but since it's a fill-in-the-blank problem, the 1 will show in front of the y and -5 will come after the + sign.)

i hope this helps! have a lovely day <3

mr hoges wonts to buld a fences around his entir retangler garden what is the totle distance around his garden

Answers

Answer:

perimeter = 2(length) + 2(width)

Step-by-step explanation:

Which of the following is the equation for the line of symmetry in this figure?

Help please

Answers

Answer:

Y=-2

Step-by-step explanation:

-2y is right in between the figure.

Hope this helps!

Darryl is buying apples and bananas. He bought a pounds of apples that cost $2 per pound and b pounds of bananas that cost $1 per pound. The total amount of his purchase is given by the expression 2a + b. Select the terms of the expression. Mark all that apply. A 2a B 2 C A. D. B. E. 1b​

Answers

Answer:

Step-by-step explanation:

I’m late lol

1.) 2.73 ÷ 0.03
2.) 112 ÷ 0.16
3.) 48.86 ÷ 0.08
4.) 0.28 ÷ 0.4
5. 18.3 ÷ 6

I need solutions now​

Answers

Answer:

1. 91

2. 700

3. 610.75

4. 0.7

5. 3.05

please help me asap!!

Answers

Answer:

1 square unit

Step-by-step explanation:

its easy

1 * 1 = 1

Please help thank you if you do

Answers

4/5 z = 2/7

7×4×z = 2× 5 (move the denominator of both fractions to the other side)

28z = 10

z = 10 ÷ 28

z = 5/14

Answer: The answer your looking for is 5/14

Step-by-step explanation: You want to leave the variable alone, so you divide both sides by 4/5. If you divide 2/7 by 4/5, you get 5/14.

answer plz plz for brainleiest

Answers

Answer:

-.5

Step-by-step explanation:

Answer:

B=0.5 or 1/2

its correct please give brainliest!!!

At a basketball game, a team made 54 successful shots. They were a combination of 1- & 2- point shots. The team scored 90 points in all. Write and solve a system of equations to find the number of each type of shot Equation 1: ______________________ Equation 2: ______________________ 1-point shots: _________ 2-point shots: _________

Answers

Answer:

Your answer is 31 for 1 shot points, and 45 for 2 shot points.

Step-by-step explanation:

1 4/5 divided by 2 7/10

Answers

Answer:

2/3

Step-by-step explanation:

In order to divide fractions, you'll have to multiply the first number by the second number's reciprocal.

So it would be 1 4/5 times the reciprocal of 2 7/10.

Reciprocal of 2 7/10 = Reciprocal of 27/10 = 10/27.

So 1 4/5 x 10/27 = 2/3

Answer:

2/3

Step-by-step explanation:

1 4/5 ÷ 2 7/10

Convert these into improper fractions

(Denomintaor × whole number + numerator)/denoninator

(5 × 1 + 4)/5

9/5

(10 × 2 + 7)/10

27/10

Now the equation says:

9/5 ÷ 27/10

Use the method copy dot flip, meaning rewrite the first fraction, change the division sign to multiplication, and use the reciprocal of the last fraction

9/5 × 10/27

Multiply the numerators and denominators separately

(9 × 10)/(5 × 27)

90/135

Simplify

Both 90 and 135 can evenly fit 15

90 ÷ 15 = 6

135 ÷ 15 = 9

6/9

This can still be simplified further

Both 6 and 9 can evenly fit 3

6 ÷ 3 = 2

9 ÷ 3 = 3

2/3

This cannot be simplified any further

The majority of states have:
A.no income tax
B.a flat income tax
C.a progression income tax
D. a gross income tax

Answers

Option. C is correct. A progression Income tax.

What is income tax?

Income tax is a type of tax that the central Government charges on the Income earned during financial year by the individuals and the Businesses.

The majority of states have  a progression Income tax.

hence, the majority of state have a progression of Income tax.

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Answer:

(C)- Progressive income tax.

Question 6
A triangle has vertices at (-9,2).(-9, -6), and (-3,-6). What is the perimeter of the triangle in units?

Answers

Answer:

Step-by-step explanation:

Given that a linear function goes through the points (3.2) and (5.6) determine the slope
of the line.

Answers

Way to do

[tex]m = \frac{(y2 - y1)}{(x2 - x1)} = \frac{(6 - 2)}{(5 - 3)} = \frac{4}{2} = 2[/tex]

Answer : 2

Whats the slope to this.

Giving brainliest. Correct answer

Answers

Answer:

m=-25

Step-by-step explanation:

m=Δh/Δt

(Im choosing for the difference in height and time (Δh and Δt) to be the difference between the data in the first two rows)

m=(4500-5000)/(20-0)

m=-500/20

m=-25

M = -25 is the correct answer

please help me thank you

Answers

Answer: the fully simplified version would be 8/x^5y^4

How do I simplify 2275/6

Answers

Answer:

This fraction is at its most simplified form

Step-by-step explanation:

You can see this because the GCF of both of these numbers is 1.

The simplified form of fraction 2275/6 is 379.

We have,

To simplify the fraction 2275/6, we can divide the numerator (2275) by the denominator (6) to obtain the simplified form.

By performing the division operation, we obtained the decimal value 379.166666..., which we then rounded to the nearest whole number, resulting in 379.

This process of dividing the numerator by the denominator is the fundamental concept used to simplify fractions.

Dividing 2275 by 6:

2275 ÷ 6 = 379.166666...

Rounded to the nearest whole number, the result is 379.

Therefore,

The simplified form of fraction 2275/6 is 379.

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Shannon jogs 20 miles in 4 hours.




If she maintains this constant speed, which graph shows the correct points to represent the situation?

Answers

Answer:

Say the answer meant be A

Step-by-step explanation:

Answer:A

Step-by-step explanation:

Use the office to approximate the number in the sample

Answers

where's the sample?

lol

The figure below shows a line graph and two shaded triangles that are similar:


Which statement about the slope of the line is true?

The slope from point O to point A is fraction 1 over 4 times the slope of the line from point A to point B.
The slope from point O to point A is four times the slope of the line from point A to point B.
It is fraction negative 1 over 4 throughout the line.
It is −4 throughout the line.

Answers

Both triangles are along the slope of the line, so the slope for both triangles are the same.

Using two points on the slope you find that the slope is -1/4

The answer is:

It is fraction negative 1 over 4 throughout the line.

The following probabilities are based on data collected from U.S. adults. Individuals are placed into a weight category based on weight, height, gender and age.

Underweight Healthy Weight Overweight (not Obese) Obese
Probability 0.017 0.377 0.343 0.263

Based on this data, what is the probability that a randomly selected U.S. adult weighs less than the overweight(but not obese) range?

Answers

Answer:

the probability that a randomly selected U.S. adult weighs less than the overweight(but not obese) is 0.394

Step-by-step explanation:

  Given the data in the question;

                Underweight   Healthy Weight    Overweight (not Obese)    Obese

Probability       0.017              0.377                        0.343                          0.263

so

P( underweight) = 0.017

P( Healthy Weight) = 0.377

P( Overweight (not Obese) ) = 0.343

P( Obese ) = 0.263

now, the probability that a randomly selected U.S. adult weighs less than the overweight(but not obese) range will be;

P( weigh less than overweight(but not obese) =  P( underweight) + P( Healthy Weight)

P( weigh less than overweight(but not obese) = 0.017 +  0.377

P( weigh less than overweight(but not obese) = 0.394

Therefore, the probability that a randomly selected U.S. adult weighs less than the overweight(but not obese) is 0.394

Evaluate the quotient of 1.05 x 103 and 1 x 103

Answers

Answer:

for the 1st one it is 108.15x

and the 2nd it is 103x

Step-by-step explanation:

What is the height of a trapezoid whose bases have lengths of 11 units and 18 units and whose area is 87 square units?
its either
Question 1 options:

5 units,
3 units, or
6 units

Answers

Answer:

6 units is answer for it may be correct check it

Answer:

6

Step-by-step explanation:

Took the test on k12

The number of measles cases increased 33.7% to 220 cases this year. What was the number of cases prior to the increase?

Answers

Hi there!

Multiply 33.7 with 0.01...

[tex]33.7[/tex]·[tex]0.01=0.337[/tex]

Then multiply 0.337 with the cases which is 220.

[tex]0.337[/tex]·[tex]220=74.14[/tex]

This means that 33.7% of 22 is 74.14 and this also means that the increased cases this year is 74.14.

$250 increased by 200%

Answers

Answer: It went up $500 and the total is $750

Step-by-step explanation:

At this rate, how much would Cary earn for 55 hours of babysitting?

Answers

Answer:

if Cary works at 8 hours per hour, then she will have $440

Step-by-step explanation:

this is, if you are referring to your previous question about Cary making $56 in 7 hours.

According to an online survey by Harris Interactive for job site CareerBuilder, more than half of IT (information technology) workers say they have fallen asleep at work (InformationWeek, September 27, 2007). Sixty-four percent of government workers admitted to falling asleep on the job. Consider the following contingency table that is representative of the survey results.

Slept on the Job IT Professional Government Professional
Yes 155 256
No 145 144

1. Convert the contingency table into a joint probability table. (Round the intermediate calculations and final answers to 4 decimal places.)
2. What is the probability that a randomly selected worker is an IT professional? (Round the intermediate calculations and final answers to 4 decimal places.)
3. What is the probability that a randomly selected worker slept on the job? (Round the intermediate calculations and final answers to 4 decimal places.)
4. If a randomly selected worker slept on the job, what is the probability that he/she is an IT professional? (Round the intermediate calculations and final answers to 4 decimal places.)
5. If a randomly selected worker is a government professional, what is the probability that he/she slept on the job? (Round the intermediate calculations and final answers to 4 decimal places.)
6. Are the events "IT Professional and Slept on the Job" independent? Explain.

Answers

Answer:

Follows are the solution to this question:

Step-by-step explanation:

[tex]Frequency\ total = 155 + 256 + 144 + 145 = 700;[/tex]

In point (1):

Now that it is possible to obtain the joint distribution as:                                                                                                                              

                                 [tex]IT\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ G \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Total[/tex]

[tex]Yes \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{155}{700} = 0.2214\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{256}{700} = 0.3657 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.5871\\\\No \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{145}{700} = 0.2071\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{144}{700} = 0.2057\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.4128\\\\Total \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.4285 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.5714\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1[/tex]

In point (2):

Likely that now It (the IT column total throughout the table above) seems to be the random individual selected = 0.4285;

Here, 0.4285 is the necessary probability.

In point (3):

The way of its worker's sleep at work =0.5871 ( first row total in the above table )

Here 0.5871 was its required probability.

In point (4):

In this as employee slept at work, he is likely to also be from IT to be calculated with:

[tex]=\frac{\text{probability he was just an IT-former but was asleep at work}}{ \text{possibly he worked at work}}\\\\=\frac{0.2214}{0.5871} \\\\ =0.3771 \text{was its probability required here}.[/tex]

In point (5):

In an individual is also an official government, its chance of getting sleep at work is measured when:

[tex]= \frac{\text{Probability he is professional in business slept at work}}{\text{or that he is officially in business}} \\\\= \frac{0.3657}{0.5714}\\\\ = 0.6400 \text{is the required probability here}.[/tex]

In point (6):

[tex]\to P(IT) \ P(Yes) = 0.4285 \times 0.5871 = 0.2516 \\\\\to P(IT and Yes ) = 0.2214 \\\\[/tex]

Therefore, 2 cases aren't independent, because P(IT) P(Yes) is not the same as P(IT and Yes), which also implies that P(IT|Yes) is not the same as P (IT), therefore "[tex]\text{No because P("IT " | "Yes")} \neq P("IT")[/tex]" is correct.

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