A group of high school students are volunteering for Habitat for Humanity during their summer break. They
are putting the finishing touches on a house they built. Working alone, Kendra can paint a certain room in 7
hours. Joe can paint the same room in 6 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 tenth.

Answers

Answer 1

In response to the question, we may say that It will take Kendra and Joe expression approximately 3.2 hours to paint the room together.

what is expression ?

An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are widely used in arithmetic, mathematics, and shape. They are employed in the depiction of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.

Let's denote the time it takes Kendra to paint the room as "K" and the time it takes Joe to paint the room as "J". We can use the formula:

[tex]1/K + 1/J = 1/T\\1/7 + 1/6 = 1/T\\13/42 = 1/T\\13T = 42\\[/tex]

Therefore, T = 42/13 ≈ 3.2 hours (rounded to the nearest tenth).

It will take Kendra and Joe approximately 3.2 hours to paint the room together.

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Related Questions

What is the distance between the points (6,2) and (1,-5)


PLEASE ANSWER QUICK

Answers

Answer:

[tex]\displaystyle d = \sqrt{74}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (6, 2) → x₁ = 6, y₁ = 2

Point (1, -5) → x₂ = 1, y₂ = -5

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                       [tex]\displaystyle d = \sqrt{(1-6)^2+(-5-2)^2}[/tex][Distance] [√Radical] (Parenthesis) Subtract:                                                 [tex]\displaystyle d = \sqrt{(-5)^2+(-7)^2}[/tex][Distance] [√Radical] Evaluate exponents:                                                   [tex]\displaystyle d = \sqrt{25+49}[/tex][Distance] [√Radical] Add:                                                                                [tex]\displaystyle d = \sqrt{74}[/tex]

Find the slope y = 6x-1

Answers

Answer: the slope should be 6 I’m sure

Step-by-step explanation:

Answer:

y

=

6

x

1

Step-by-step explanation:

x-1

HELP ME !!!!?? Brainliest if right

Answers

the correct answer is b

Question 2 1 pts Asplaner has three sections colored green, purple, and pink. If the spinner is spun three times, how many possible outcomes are there!​

Answers

Answer:

27

Step-by-step explanation:

The Counting Principle states that the number of possible outcomes is equal to the product of the number of outcomes for each event. In this case, (M)(N)(O).

There are 27 possible outcome if the spinner is spun three times.

What is probability?

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given, A spinner has three sections colored green, purple, and pink.

From the general formula of probability:

Probability = (desired outcomes)/(Total outcomes)

In our case,

the three possible outcomes of this event occurring are Green, Purple, and Purple, Green.

The desired outcomes = 3

The total outcomes = 3 x 3 x 3 = 27

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solve the system of equations by using substitution
y=2x-2
2x+y=10​

Answers

2x+1(2x-2)=10
2x+2x-2=10
4x-2=10
+2 +2
4x=8
x=2
y=2(2)-2
Y=2

Factor the common factor out of each expression 64p - 24

Answers

Answer: 8(8p-3)

Step-by-step explanation:

64p and 24 are both divisible by 8

64p/8 = 8p

24/8 = 3

8(8p) - 8(3)

Distributive property

8(8p-3)

Can someone help me with this I need help

Answers

b.150 inches, the area is calculated by B x H, which is 15 x 10 in this scenario

Answer:

d)550

15 * 10 = 150; 150 * 2 = 300

5 * 10 = 50; 50 * 2 = 100

5 * 15 = 75; 75 * 2 = 150

300 + 100 + 150 = 550

Subtract 8 - 3 3/8. Simplify the answer and write as a mixed number.

Answers

Answer:

not 100% sure but I think it's 27/8

Step-by-step explanation:

I give you all right to be mad if i'm wrong (:P)

Does anyone know where I can find revision questions that will help me in my maths Gcse?​

Answers

Step-by-step explanation: amazon they have everything

9. A person is sitting on a 30 foot pier overlooking the ocean. His eye level is 3 feet above the

pier. He sees a whole surface in the ocean. If the angle of depression of the whale is 20", how

far is the whale from his eyes?

Answers

Answer:

90.67feet

Step-by-step explanation:

Given that α = 20°

Tan α = opp/adj......... 1

Opp = 33feet

Adj = x

Substitute the values into equation 1

Tan 20° = 33feet/adj

0.36397 = 33/adj

0.36397×adj = 33

Adj = 33/0.36397

Adj = 90.666

Recall, adj = x = 90.666feet

x = 90.67feet

Hence, the whale is 90.67feet far from the eyes

Help this is trigonometry I think 35 points!!

Answers

Answer:

y = 16.3

Step-by-step explanation:

We would apply the formula for altitude of a right triangle which is given as:

h = √(xy)

Where,

h = 14

x = 12

y = y = ?

Plug in the values

14 = √(12*y)

14² = (√(12*y) (squaring both sides)

196 = 12*y

196/12 = 12y/12 (division property of equality)

16.3 = y (nearest tenth)

y = 16.3

Which of the following combinations of side lengths will form a triangle with vertices X, Y, and Z?
A. XY = 19 mm, YZ = 11 mm, XZ = 29 mm
В. XY = 19 mm, YZ = 11 mm, XZ = 31 mm
C. XY = 19 mm, YZ = 10 mm, XZ = 30 mm
D. XY = 20 mm, YZ = 11 mm, XZ = 32 mm

Answers

It should be C I’m not 100% shor tho

help pls

Find the volume of the composite solid.

Answers

Answer:

80cm3

Step-by-step explanation:

volume of the composite solid=volume of the

pyramid+

volume of the

cuboid

volume of the pyramid=1/3* base area*height

=1/3*5*4*6

=40cm3

volume of the cuboid=base area *height

=5*4*2

=40cm3

volume of the composite solid=40cm3+40cm3

=80cm3

Which statement about the slope of the line is true?

A. It is fraction 1 over 2 throughout the line.

B. It is 2 throughout the line.

C. The slope from point O to point A is fraction 1 over 2 times the slope of the line from point A to point B.

D. The slope from point O to point A is 2 times the slope of the line from point A to point B.

Answers

Answer:

A

Step-by-step explanation:

sorry I don't kwon how to put it in, in explaination

PLZ HELP ASAP
What is the length of MN? Round your answer to the tenths.

Answers

Answer:

Can you put the picture of the triangle up

Step-by-step explanation:

I'll change my answer then

DON'T REPORT ME

Answer:

i need a picture to awnser your question

Step-by-step explanation:

Please help ASAP. Thanks so much

Answers

Answer:

A

Step-by-step explanation:

Easy method for this question is to plug the point (-1,7)

Plug -1 as x and hope we can get 7

[tex]y =-2(-1+1)^{2}+7\\y=7\\[/tex]

so your answer is going to be A



explanation : your vertex is the 2 last numbers, and the reason the 1 is negative is because the h always flips

so if it was positive, it would flip to a negative number instead

solve the following equation for a a-32=47​

Answers

Answer:

5

Step-by-step explanation:

because use the calculator pls ......................

mark invested a certain amount at 5 % simple interest per year after 10 year he received an interest of 50000 how much did he invest​

Answers

Step-by-step explanation:

hope it helps u...........

XYZ has vertices X(3. -4), Y(6, 5), and Z(8, -2).find the coordinates of the vertices of X'Y'Z after a dilation of XYZ by a scale factor of 4

Answers

I believe you would just multiply each value in the coordinates by 4.
So they would become:
X(12,-16), Y(24,20), and Z(32,-8)

The coordinates of the vertices of X'Y'Z after a dilation of XYZ by a scale factor of 4 is X'(12, -16), Y'(24, 20) and Z'(32, -8).

What is scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Given that, XYZ has vertices X(3, -4), Y(6, 5), and Z(8, -2).

Scale factor = 4

Here, X(3, -4)→4(3, -4)→X'(12, -16)

Y(6, 5)→4(6, 5)→Y'(24, 20)

Z(8, -2)→4(8, -2)→Z'(32, -8)

Therefore, the coordinates of the vertices of X'Y'Z after a dilation of XYZ by a scale factor of 4 is X'(12, -16), Y'(24, 20) and Z'(32, -8).

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The value of Amy's car depreciated each year after she bought it. The function v(t) = 24,893(0.88)^t represents the value of Amy's car t years after she bought it. What is the rate of depreciation?

Answers

Answer:

12%

Step-by-step explanation:

Its is correct

Find the approximate circumference, in terms of π, of chicken pie that had a radius of 3.25 inches.

A) 3.25 πin.
B) 6.5 πin.
C) 20 πin.
D) 1.625 πin.

Answers

Answer:

B

Step-by-step explanation:

I Had this

Simplify completely and find the restrictions on the variable.​

Answers

Answer:

[tex]\displaystyle \frac{x + 2}{x + 9}, \ x \neq -9, \ 12[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right

Algebra I

Terms/CoefficientsFactoring

Algebra II

DiscontinuitiesDomain Restrictions

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{x^2 - 10x - 24}{x^2 - 3x - 108}[/tex]

Step 2: Simplify

[Fraction] Factor numerator:                                                                           [tex]\displaystyle \frac{(x - 12)(x + 2)}{x^2 - 3x - 108}[/tex][Fraction] Factor denominator:                                                                       [tex]\displaystyle \frac{(x - 12)(x + 2)}{(x - 12)(x + 9)}[/tex][Fraction] Divide:                                                                                              [tex]\displaystyle \frac{x + 2}{x + 9}[/tex]

We know that x cannot equal -9 because we would get a divide by 0 (undefined) error. We also know that x cannot equal 12 because it was canceled out when simplifying.

what is the G.C.F. of 12 4 8

Answers

Answer:

4

Step-by-step explanation:

GCF = 4

4 × 3 = 12

4 × 2 = 8

Since 4 goes in both, 12 and 8, it is the GCF. Hope this helps, thank you !!

GCF 4
4x2= 8
4x3=12
Answer would be 4 yes

A game is played with a circular spinner that contains 8 different colors. The design
of the spinner is the order in which the colors are arranged. How many ways can
this spinner be designed?

Answers

Answer:

64 ways

Step-by-step explanation:

there are 8 different colors, with 8 different possibilities on the color arrangement.

(giving brainiest)

answer this correctly

Answers

Answer:

A =224 in ^3

Step-by-step explanation:

Answer:

56in squared

Step-by-step explanation:


10. If possible, determine whether or not triangles LQP and LMN
are similar. Give a detailed explanation for your answer.
PLEASE HELP!!

Answers

Answer:

They are similar

Step-by-step explanation:

If two triangles are similar, the ratio of their corresponding side lengths must be equal to each other.

This means that for ∆LQP and ∆LMN to be considered similar to each other, therefore:

LM/LQ = LN/LP

LM = 100

LQ = 12

LN = 75

LP = 9

LM/LQ = 100/12 = 25/3

LN/LP = 75/9 = 25/3

LM/LQ = LN/LP = 25/3, therefore ∆LQP and ∆LMN are similar to each other because the ratio of their corresponding side lengths are the same.

can somebody help me please​

Answers

so Camille is 10 Donny is 6and tommy is 8

Given parameters :

Camille is 7 years older than Donny Donny is 4 years younger than Tommy

To find :

Total ages of the three people

Solution with details :

Let us take the age of Donny as x years - i

According to the given question we have ,

Camille's age = x + 7 yearsTommy's age - 4 = Donny's age Tommy's age = Donny's age + 4Tommy's age = x + 4 ( from i )

Total ages of three people = Sum of their ages

Camille's age + Donny's age + Tommy's age x + 7 + x + x + 4 3x + 11

The number of people signed up for a bus trip increased from 32 to 45 what is the percent increase round to the nearest percent

Answers

Answer:

40.6%

Step-by-step explanation:

first find the increase (increase = 45 - 32) = 13

second divide increase by OG # (13 / 32) = 0.40625

then you multiply by 100

Answer:

41%

Step-by-step explanation:

It takes Naomi 4 minutes to run 5 laps. How long does it take her to run 30 laps? Use a table, double number line, tape diagram or another strategy to show your thinking.

(PLEASE ANSWER ITS DUE IN 20 MINUTES!)​

Answers

Answer:  24 ???

Step-by-step explanation:

4 mins to run 5 ... so im guessing it goes by 5

5 = 4

10 = 8

15 = 12

20 = 16

25 = 20

30 = 24

I am not sure if its right but that what i think ( you can use a table btw one colom that says laps and starts with 5 then the other colom that says mins and starts with 4

Hope its right Good Luck have a good rest of your day

5-[6-2-(1-8) -3 +6]+5 =

Answers

Answer:

-4

Step-by-step explanation:

5 - [6 - 2 - (1 - 8) - 3 + 6] + 5 =

Simplify.

5 - [6 - 2 + 7 - 3 + 6] + 5 =

Subtract

5 - [4 + 7 - 3 + 6] + 5 =

Add

5 - (11 - 3 + 6) + 5

Subtract

5 - (8 + 6) + 5

Add

5 - 14 + 5

Simplify by adding and subtracting.

-4

good luck, i hope this helps :)

Answer:

[tex]sln \\ 5 - (6 - 2 - (1 - 8) - 3 + 6) + 5 \\ 5 - (4 - ( - 7) + 3) +5\\ 5 - (4 + 7 + 3)+5 \\ 5 - (14) +5\\ 5 - 14 \\ - 9[/tex]+5

=-4

I hope this help

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