A group of college students is volunteering for Help the Homeless during their spring break. They are putting the finishing touches on a house they built. Working alone, Irina can paint a certain room in 9 hours. Paulo can paint the same room in 8 hours. Write an equation that can be used to find how long it will take them working together to paint the room. How many hours will it take them to paint the room? If necessary, round your answer to the nearest hundredth.

A. [tex]\frac{x}{9} + \frac{x}{8} = 1[/tex]; 2.18 hours
B. [tex]\frac{1}{9} + \frac{1}{8} = \frac{1}{x}[/tex]; 3.73 hours
C. [tex]\frac{9}{x} + \frac{8}{x} = 1[/tex]; 8.5 hours
D. [tex]\frac{x}{9} + \frac{x}{8} = 1[/tex]; 4.24 hours

Answers

Answer 1

Answer:

D 4.24

Step-by-step explanation:

Assume the area of room be A

Irina painting speed be x, 8x = A

Paulo painting speed be y, 9y = A

Together painting speed = x + y = A/8 + A/9

Assume together painting time = t

(A/8 + A/9) t = A

(1/8 + 1/9)t = 1

17t = 72

t = 4.24


Related Questions

A 2-column table with 6 rows. The first column is labeled x with entries negative 1, 0, 1, 2, 3, 4. The second column is labeled f of x with entries negative 9, negative 8, negative 7, 0, 19, 56.
What is the x-intercept of the continuous function shown in the table?

(0, –8)
(0, 2)
(–8, 0)
(2, 0)

Answers

Answer: i think option c

Step-by-step explanation:

my last question pls don’t lie

Answers

Answer:

3.6 in

Step-by-step explanation:

1/2 ft= 6in

1/5 ft= 2.4 in

so 6-2.4= 3.6 in

Hope this helps :)

simple interest = Pxrxt
Joe borrowed $900 from Sam for six months. How much will Sam earn if he charges joe a simple interest rate of 4 percent?

Answers

Answer:

$18.Hope it helps.....

Angle measurement is 119 what’s the supplement

Answers

Answer:

61 Degree Angle

Step-by-step explanation:

Supplementary angles are two angles that add up to 180 degrees. So in this case, 119 + 61 = 180.

How many matchs played in a 5 team round robin

Answers

[tex]\huge[\sum_{k=0}^{4}(k)][/tex] [tex] = 0+1+2+3+4=\boxed{10} [/tex]

=[tex]\huge(\binom {5}{2}) [/tex] [tex] =(5!)/(3! \times 2!) = (5\times 4)/(2)= \boxed{10}[/tex]

Since there are 5 teams..

The number of matches played in a 5 team round Robin is 10.

How does round robin tournament work for 5 teams?

A round-robin tournament is a sports competition where each player or team competes against every other player or team; each contestant faces off against the other contestant in turn. A round-robin tournament differs from an elimination tournament in that participants are eliminated after a set number of losses.

From 5 teams we choose 2 to form combinations (need combinations of 2 different teams to play a match).

Here, 5C2 = 5!/2!(5-2)!

= 5×4×3×2!/2!×3!

= 10

Hence, the number of matches played in a 5 team round Robin is 10.

To learn more about the permutation and combination visit:

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Reina surveyed her friends, asking each of them, "How many times have you been to the amusement park?" The resulting data set has a distribution that can be described several ways. Select from the drop-down menus to correctly complete the statements about the distribution. The distribution can be described by its shape. If there are more lower values than higher values, the distribution is skewed Choose... . The distribution can be described by its center. If the distribution is not skewed left or right, the Choose... is an accurate measure of center. The distribution can be described by its spread. If the data set does not have an outlier, the Choose... is an accurate measure of spread.

Answers

Answer:

1. right, 2. median, 3. range or the IQR

Step-by-step explanation:

Answer:

For the answers, it would be: 1. right, 2. median, and 3. range or IQR.

there are 5 green,7blue and 3 red pens. if one ball pen is chosen at random, then what is the probability of getting a red pen??​

Answers

Answer:

1/5

Step-by-step explanation:

there are 15 pens totally, there are 3 red pens.

probability-> 3/15=1/5

Use substitution to solve the system.

3x + 5y = 23
x = 3y - 11​

Answers

Answer:

(1,4)

Step-by-step explanation:

Since x is already "alone", you can plug 3y-11 into the x-value for the first equation to get 3(3y-11)+5y=23. Now distribute 3 to the numbers in the parentheses. In the end, the solution to this is (1,4).

Answer:

x=1, y=4

Step-by-step explanation:

Substitute x = 3y - 11

3(3y - 11) + 5y = 23 |

Simplify

|14y – 33= 23 |

Isolate y for 14y-33=23

y=4

For x =3y - 11

Substitute y = 4

X=3• 4- 11

Simplify

X=1,

Answer to number 6 please

Answers

Answer:

Step-by-step explanation:

C

Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.52 and a standard deviation of 0.43. Using the empirical rule, what percentage of the students have grade point averages that are between 1.23 and 3.81?

Answers

Answer:

Using the Empirical Rule, we find that .997 (99.7%) of students have grade point averages that are between 1.23 and 3.81.

Step-by-step explanation:

Calculate the z-scores corresponding to a GPA of 1.23 and 3.81.

[tex]\displaystyle z=\frac{1.23-2.52}{.43} = \frac{-1.29}{.43}= -3[/tex] [tex]\displaystyle z=\frac{3.81-2.52}{.43}= \frac{1.29}{.43} =3[/tex]

We want to find the area between the z-scores of -3 and 3.

The Empirical Rule tells us that 99.7% of the data lies within three standard deviations under the normal curve.

Therefore, the area between -3 < z < 3 is about .997, or around 99.7%.

2. Determine the cost to cover the top of the fire pit with a piece of sheet metal that costs $25 per square foot. (6 points)

3. Determine the cost to lay down pebbel in the seating area one bag of pebbels covers 5 ft² and costs $8.99​​

Answers

Answer:
39
I put that and got it right :)

solve for x,
3(x – 4) ≥ 5x + 2

Answers

[tex]\Large\textsc{answer :}[/tex]

x≤-7

[tex]\Large\textsc{calculations :}[/tex]

First , use the distributive property :

3(x-4)≥5x+2

3x-12≥5x+2

Subtract 5x on both sides :

3x-5x-12≥2

Now , add 12 on both sides :

3x-5x≥2+12

3x-5x≥14

Subtract the x's :

-2x≥14

Divide by -2 on both sides and watch what happens :

x≤-7 (notice that the inequality sign changed from "greater than or equal to" to "less than or equal to")

If we divide both sides of an inequality by a negative number , we change the inequality sign .

[tex]\footnotesize\textit{hope helpful~}[/tex]

How to solve this. A Japanese train can travel 321km in 3hours.At that rate, how could it travel in 5hours?

Answers

Answer:

535km

Step-by-step explanation:

train speed = 321/3 km per hour = 107kmh

in 5 hours, travel distance = speed x time = 107 x 5 = 535km

Tell me which colors the answer is! QUICK You"LL GET A CHANCE TO GET POINTS!

Answers

Answer: I think it’s $15.71

Step-by-step explanation:

Answer:

red I think

Step-by-step explanation:

P(S) = 3/5
P(T) = 1/3
If S and T are mutually exclusive events, find P(S or T).

Answers

Answer:

14/15

Step-by-step explanation:

P(S or T) = P(S) + P(T) = 3/5 + 1/3

= 9/15 + 5/15 = 14/15

PLEASE QUICK ANSWER!! EXPLAIN WORK!!! FOR BRAINIEST!

Answers

Answer:

x= y−2/3

Step-by-step explanation:

1 Subtract 2 from both sides.

y-2=3x

2 Divide both sides by 3.

y−2/3 =x

3 Switch sides.

x= y−2/3

While holding her puppy, Tammy steps on a scale. The scale reads 127 pounds. Alone, Tammy weighs 112 pounds. Write and solve an addition equation to find the weight of Tammy's puppy. Use the variable P.

Answers

equation: 127-112=P
answer:P=15

NO LINKS!! PART 3. Please help me with these graphs​

Answers

Answer:

[tex]\textsf{13)} \quad y=(x+5)^2+4[/tex]

[tex]\textsf{14)} \quad y=-\dfrac{1}{2}(x-2)^2-3[/tex]

Step-by-step explanation:

Vertex form of a parabola:  

[tex]y=a(x-h)^2+k[/tex]  where (h, k) is the vertex

Question 13

From inspection of the graph, the vertex is (-5, 4)

[tex]\implies y=a(x+5)^2+4[/tex]

To find [tex]a[/tex], substitute the coordinates of a point on the curve into the equation.

Using point (-4, 5):

[tex]\implies a(-4+5)^2+4=5[/tex]

[tex]\implies a(1)^2+4=5[/tex]

[tex]\implies a+4=5[/tex]

[tex]\implies a=1[/tex]

Therefore, the equation of the parabola in vertex form is:

[tex]y=(x+5)^2+4[/tex]

Question 14

From inspection of the graph, the vertex is (2, -3)

[tex]\implies y=a(x-2)^2-3[/tex]

To find [tex]a[/tex], substitute the coordinates of a point on the curve into the equation.

Using point (0, -5):

[tex]\implies a(0-2)^2-3=-5[/tex]

[tex]\implies a(-2)^2-3=-5[/tex]

[tex]\implies 4a-3=-5[/tex]

[tex]\implies 4a=-2[/tex]

[tex]\implies a=-\dfrac{1}{2}[/tex]

Therefore, the equation of the parabola in vertex form is:

[tex]\implies y=-\dfrac{1}{2}(x-2)^2-3[/tex]

#1

Vertex at (-5,4)

Equation

y=a(x+5)²+4

As there is no y inetercept present and the function is same as general quadratic equation y=x^2 just change in coordinates a=1

Final equation

y=(x+5)²+4

#2

Vertex (2,-3)

y=a(x-2)²-3

Use (4,-5)

-4=a(4-2)²-3-1=a(2)²4a=-1a=-1/4

Equation

y=-1/4(x-2)²-3

You are asked to find the space occupied by the shape below. Will you calculate its area or volume? A cube shape. area volume

Answers

Answer:

volume

Step-by-step explanation:

the amount of space enclosed by an object or shape, how much 3-dimensional space

Pls kindly help, it's urgent​

Answers

Answer: 6400

Hope this helps!

PLEASE HELP
For the right triangle below, find the measure of the angle.
Figure is not to scale.

Answers

use tan since you are given the opposite and adjacent sides

tan θ = [tex]\frac{opp}{adj}\\\\[/tex]

tan θ = [tex]\frac{2}{12}[/tex]

use the inverse of tan to find the angle

θ = [tex]tan^{-1}(\frac{2}{12})[/tex]

θ = 9.462322208...

θ = 9.46°

Mike wants to conduct a survey to find how much time the students of his school spent watching television. Which of the following is an appropriate statistical question for this survey?

Answers

Answer:

c

Step-by-step explanation:

Answer:

How many hours a week do you watch televison?

Step-by-step explanation:

In order for Mike to organize a survey about this particular topic, it's important that he asks concise questions that provide him with generalized data about multiple days of the week. Because of this, he wouldn't want to ask any questions that solely focus on specific days, so we can use process of elimination to get rid of answer choices C and D. Both of these options are too specific, and only ask about 1 or 2 days instead of a larger period of time. Using the same logic, we can get rid of option A. Option A is also too specific, but for a different reason. This question is only asking about students who watch televison for an hour everyday. Remember, for good surveys, more results provide a better sample of data. So it's important that the questions asked are coherent, but also don't limit the amount of data received either.

If x = 3 (y + w) minus 1 what is the value of w in terms of x and y?

Answers

Answer:

Step-by-step explanation:

Discussion

The object of this is make w by itself on one side of the equation.

Equation

x = 3 (y + w) - 1               Add 1 to both sides of the equation.

x + 1 = 3(y + w) - 1 + 1      Combine

x + 1 = 3(y + w)                 Remove the Brackets

x + 1 = 3y + 3w                 Notice y and w are affected by the 3. Subtract 3y

x + 1 - 3y = 3y-3y + 3w   Combine

x + 1  = 3w                       Divide both sides by 3

(x +1)/3 = 3w/3  

(x + 1)/3 = w

Answer: (x + 1)/3 = w

Help solve this problem please?

Answers

Answer: z=29 x=119 y=61

Step-by-step explanation:

A ray is 180 degrees and you can go from there. Hope this helps!

What are the zeros of the quadratic function f(x) = 6x- + 12x-7?

Answers

Answer:

Number 1

Step-by-step explanation:

Vertex is (−1,−13)

[tex]~~~~~6x^2 +12x -7 =0\\\\\implies x^2 +2x - \dfrac 76=0\\\\\implies x^2+2x = \dfrac76\\\\\implies x^2 +2x +1 = \dfrac 76 +1\\\\\implies (x+1)^2 = \dfrac{13}6\\\\\implies x+1 = \pm \sqrt{ \dfrac{13}6}\\\\\implies x = -1 \pm\sqrt{\dfrac{13} 6}\\\\\text{Hence,}~ x = -1 +\sqrt{\dfrac{13} 6}~~ \text{and}~~ x = -1-\sqrt{\dfrac{13} 6}[/tex]

A number a is a root of P(x) if and only if the remainder, when dividing the
polynomial by x + a, equals zero.
O A. True
O B. False
Answers is false

Answers

Answer:  False

Reason: It should be x-a instead of x+a

2. Rewrite the expression below using the Associative Property of Multiplication: (ab)c

A. (ba)c
B. c(ab)
C. abc
D. a(bc)
E. All of the above​

Answers

E) all of the above

As long as the letters are all multiplying each other, the letters can be arranged in any way in accordance with the property

A computer generates 80 integers from 1 to 8 at random. The results are recorded in this table.
Outcome 1 2 3 4 5 6 7 8
Number of times outcome occurred 14 16 10 12 4 7 6 11
What is the experimental probability of the computer generating a 2 or a 5?
9%
15%
20%
25%

WILL GIVE BRAINLIST TO THE CORRECT ANSWER!

Answers

I think the answer is 20%

Answer:

25%

Step-by-step explanation:

A bottle was tossed 30 times and recorded whether it landed on its base or on its side. What is the experimental probability that the bottle landed on the base?
a) 3/10
b) 11/30
c) 9/2
d) 3/7

Answers

The experimental probability that the bottle landed on its base by the data recorded is; 3/10.

What is the experimental probability that the bottle landed on the base?

It follows from the frequency recorded for the bottle landing on it's base and side that; base = 9 and side = 21.

The total possible outcome is 30.

On this note, the required probability is; 9/30 = 3/10.

Read more on probability;

https://brainly.com/question/24756209

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a researcher for an airline interviews all of the passengers on five random

Answers

Random sampling is the selection of clusters first from the community. Then the correct option is C.

What is random sampling?

Random sampling is the method of selecting the subset from the set to make a statical inference.

A researcher for an airline interviewed all of the passengers on five randomly selected flights.

Cluster sampling is a strategy in which the research splits the overall population into distinct clusters (groups).

Then random sampling is the selection of clusters first from the community.

More about the sample method link is given below.

https://brainly.com/question/15125943

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