Jerry can frame a room in 1 hour, while Jake takes 4 hours. How long would it take for them to frame a room working together?

Answers

Answer 1

Answer:

45 minutes

Step-by-step explanation:

If two people work together, the time it takes to frame will obviously be shorter. Since Jake Takes four times longer, he will only cut off a fourth of Jerry's time. Which is 15 mins. 60 mins - 15 mins = 45 mins.

Answer 2

The least common multiple that is divisible by both a and b is the smallest positive integer. It will take 4/5 hours for Jerry and Jake to frame a room working together.

What is LCM?

The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.

Jerry can frame a room in 1 hour. Therefore, the rate at which Jerry frame the room is,

Rate of Jerry = 1/1 room per hour

                      = 1 room per hour

Jake can frame a room in 4 hours. Therefore, the rate at which Jake can frame the room is,

Rate of Jake = 1/4 room per hour

Now, the rate at which they two will work together is,

Rate of working together = 1 + 1/4 room per hour

                                           = 5/4 room per hour

Further, the time it will take for the two of them to frame a room working together is,

Time = 1/Rate

         = 4/5 hour

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Related Questions

Nadya’s cell phone provider charges a monthly fee of $35 for usage up to 200 minutes. If she uses more than this in a month, she is charged $0.23 for each additional minute. Let c represent the cost of Nadya’s bill if she uses m minutes of air time. Write an expression that can be used to find c if she used more than 200 minutes last month.

Answers

Answer:

c = $35 + $0.23m

Step-by-step explanation:

The expression is c = $35 + $0.23m

c is the cost of nadya's bill

m is the additional minutes

so if she uses more than 200 minutes the cost of her bill wiil be

$35 plus $0.23 multiply by the number of extra minutes spent.

5/6+7/8 must be simplified

Answers

Answer:

Depending on what form you want it in:

Exact Form:

41/24

Decimal Form:

1.708  3

.. (3 is infinite)

Mixed Number Form:

1  17/24 (The 1 in front is supposed to be a whole)

Step-by-step explanation:

5/6 + 7/8

First, you must make both denominators equal a same number.

6 x _ = 8 x _

The same number but also the least is least common denominator is 24.

4 (5/6) + (7/8) 3

20/24 + 21/24

= 41/24

I do not understand

Answers

The answer is 4/7, because there are 4 hexagons and 7 total shapes

Answer:

4/7

Step-by-step explanation:

there are 7 shapes in total, 4 of them are hexagons.

Is a function represented by the table linear? 10 -6 11 -1 1 12 6 13 12

Answers

Answer:

If so then this table is linear

Step-by-step explanation:

when looking at a table, to check if it is linear, simply look at the x values and if there are any duplicates then ur answer would not be linear. but for this table their are no duplicate x values so it is linear

Aiden needs 3.7 pounds of plaster for a project. He can choose from the 2 packages shown. Round the weight of each package of plaster to the nearest tenth.

Answers

Answer:

The answer is 3.8 and 2.5

Step-by-step explanation:

Lol

x2 - xy (if x = 8 and y = -3)

Answers

Answer: 40

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

just subsitute and when their all sticking together it’s automatically multiplication.

8(2) - (8)(-3)

16- - 24

16+24

40

hello i am depresed
please
help

Answers

Answer:

Try relaxing, forget all problems at once, take deep breaths, because if you stress it could cause headaches. Listen to calming music, take a break every once in while. Try not to focus on the bad things that happened in your past! Focus on the good things in future that your smartness is allowing you to achieve! Trust me focusing on the bad things in life cause major headaches...never look back always look forward

Find the slope of the line

Answers

Answer:

3

Step-by-step explanation:

this is all my 30 points please help
Find the surface area of the composite solid.

Answers

Answer:

221  I am sorry if I am wrong. I tried

Step-by-step explanation:

A business supply store bought some merchandise with a list price of $13,800. The wholesaler extended a trade discount that made the net price $8,970. Find the trade
discount rate (as a %).

Answers

Answer:

The discount rate is %35! :)

Step-by-step explanation:

Solve for b. 3b+2(b-3)=4

Answers

The answer is b=2 because yea

!!!!PLEASE HELPPPP ITS DUE SOON!!!!

Answers

Answer:

can u  please attach the photo

Step-by-step explanation:

i cannot see it clearly

how do you estimate 17 1/5 divided by 3 4/5

Answers

Answer:

5

Step-by-step explanation:

does anyone know this :/ ?

Answers

angles 7, 6, 3, 2 are all vertical angles, which mean they are congruent (equal)

so if angle 7 is 115° so are 6, 3, and 2

so the measure of angle 2 is 115°

Answer:

angles 7, 6, 3, 2 are all vertical angles, which mean they are congruent (equal)

so if angle 7 is 115° so are 6, 3, and 2

so the measure of angle 2 is 115°

Step-by-step explanation:

give the first person brainliest

Is ​500% of less than​ 10, greater than 10 but less than​ 100, or greater than​ 100?

Answers

Answer: less

Step-by-step explanation:

If 100% of 10 is 10, we multiply 10 by 5 to get 500%.

10 x 5 = 50

500% of 10 will be equal to the number 50.

The answer is less.

In a recent survey of college-educated adults, 324 indicated that they regularly work more than 45 hours a week. If this represents 36% of those surveyed, how many people were in the survey

Answers

Answer:

900 people

Step-by-step explanation:

.36x=324

×=324÷.36

x=900

900 people were in the survey.

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

324 indicated that they regularly work more than 45 hours a week.

and  36% of those surveyed.

let the total people surveyed be x

36% of x= 324

36 x/100 = 324

36 x = 32400

x= 32400 / 36

x= 900

Hence, total 900 people are surveyed.

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Im in 6th and im too lazy to do this so please tell me the answer to both!! Tysm!

Answers

Answer:

Question 1: Yes

Question 2: Ralph

Step-by-step explanation:

[tex]\frac{3}{4} +\frac{2}{3} +\frac{3}{4} = 2\frac{1}{6}[/tex]

[tex]10.38 < 10.6[/tex]

10c - cd + d (if c= -6 and d = 2)

Answers

Answer:

74

Step-by-step explanation:

Substitute the values of the variables into the equation. Good luck on your math journey!

i need help it is math

Answers

Answer:

they are all right next to eachother

If 2 triangles are similar which of the following conclusions can you make

Answers

Answer:

what

Step-by-step explanation:

what's the rest of the problem

If two triangles have two pairs of sides in the same ratio and the included angles are also equal, then the triangles are similar.

the table represents a linear function
X
-2
-1
0
1
2
Y
8
2
-4
-10
-16

What is the slope of the function
-6
-4
4
6

Answers

Slope is -6

Brainliest please???

The solution is Option A.

The slope of the equation is given by slope m = -6

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

The values of x = { -2 , -1 , 0 , 1 , 2 }

The value of y = { 8 , 2 , -4 , -10 , -16 }

Now , let the first point be represented as P

The coordinates of P = P ( -2 , 8 )

Let the second point be represented as Q

The coordinates of Q = Q ( -1 , 2 )

Now , the slope of the line between the two points is

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 2 - 8 ) / ( -1 - ( - 2 )

On simplifying the equation , we get

Slope m = ( -6 ) / ( -1 + 2 )

Slope m = -6/1

Slope m = -6

Therefore , the value of m is m = -6

Hence , the slope of the line is m = -6

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Happy world teachers day! Hope any teachers out there who are reading this have a good day <3

Answers

Yay! Thats so nice of you..

Answer:

nice :)

Step-by-step explanation:

f(x)=x^2+6x+8 in factored form

Answers

Answer:

Step-by-step explanation:

The quadratic factors into (x + 4)(x + 2) When you remove the brackets, you get

x^2

2x

4x

8

They are all added and the 2x and 4x combine to get 6x.

Answer:

F (x) = x^2 + 6x+8 = F = x + 6 + [tex]\frac{8}{x}[/tex]

Step-by-step explanation:

Move all the expressions to the left side of the equation.

F(x)−x2−6x−8=0

Multiply F by x.

Fx−x2−6x−8=0

Move all terms not containing F to the right side of the equation.

Fx=x2+6x+8

Divide each term by x and simplify.

F = x + 6 + [tex]\frac{8}{x}[/tex]

I hope this helps.

In a well-shuffled, standard 52 card deck, what is the probability that a card is a Queen, given that it is a black card? Answer choices are in a percentage format, rounded to the nearest whole number

Answers

Answer:

33%

Step-by-step explanation:

The probability that a card is a Jack, given that it is a face card, can be expressed as the conditional probability:

P left parenthesis J a c k vertical line F a c e right parenthesis equals fraction numerator P left parenthesis J a c k space a n d space F a c e right parenthesis over denominator P left parenthesis F a c e right parenthesis end fraction

The probability that a card is both a Jack AND a face card is 4 over 52, as there are only 4 cards in a deck that have both qualities.

The probability of a face card is12 over 52 as there are a total of 12 face cards in a deck of cards.

So the probability of a card being a Jack given that it is a face card is:

P left parenthesis J a c k vertical line F a c e right parenthesis equals fraction numerator begin display style bevelled 4 over 52 end style over denominator begin display style bevelled 12 over 52 end style end fraction equals 4 over 12 equals 0.33 equals 33 percent sign.

Given that,

In a well-shuffled, standard 52 card deck,

We have to determine,

What is the probability that a card is a Queen, given that it is a black card?      

According to the question,

There are 52 card decks,

Let, the card being a jack is A and the card being a face card is B,

[tex]\rm The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{Probability \ of \ A \ and\ B}{Probability \ of\ B}[/tex]

Then,

The probability of the card is a jack and a face card:

[tex]\rm The \ probability \of \ Jack\ given\ face \ card \ (Conditional \ probability) = \dfrac{4}{52}\\\\ The \ probability \ of \ Jack\ given\ face \ card \ (Conditional \ probability) = \dfrac{1}{13}[/tex]

All jacks are face cards.

And the probability of there being a face card is,

[tex]\rm The \ probability \of \ face \ card \ (Conditional \ probability) = \dfrac{12}{52}\\\\ The \ probability \ of \ face \ card \ (Conditional \ probability) = \dfrac{3}{13}[/tex]

There are 12 face cards in a deck.

Therefore,

The probability of a card being a jack given that it is a face card is,

[tex]\rm The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{Probability \ of \ A \ and\ B}{Probability \ of\ B}\\\\\rm The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{\dfrac{1}{13}}{\dfrac{3}{13}}\\\\The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{1}{3}\\[/tex]

Convert the probability of a card being a jack given that it is a face card into a percentage,

[tex]\rm The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{1}{3}\\\\ The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{1}{3} \times 100\\\\ The \ probability \of \ A\ given\ B \ (Conditional \ probability) = 33 \ percent[/tex]

Hence, The probability of a card being a jack given that it is a face card is, 33%.

For more details refer to the link given below.

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The following frequency distribution shows the number of magazine
subscriptions per household for a sample of 60 households. Find the mean
number of subscriptions per household.
Number of magazines 0 1 2 3 4 5 6
Frequency
13 9 19 8 5 2 4

Answers

Answer:

2.0833333 or 25/12

Step-by-step explanation:

multiply each number of magazines by the frequency

0*13=0

1*9=9

2*19=38

3*8=24

4*5=20

5*2=10

6*4=24

Then add them all up,

9+38+24+20+10+24=125

Since there are 60 households, divide by 60

125/60= 2.083333 or 25/12

Plz help me find what ∠2 is measured to.

Answers

Answer:

73

Step-by-step explanation:

180-107=73

angle 1 is congruent to angle 3 which is 107 degrees

What is the weight of Jim's dog? Jim's dog is
lbs *
1 pc
16.23 lb
Weight of John's Dog
Weight of Jim's Dog
?
?

Answers

Answer:

See Explanation

Step-by-step explanation:

See attachment for complete question:

Our word problem could.

The relationship between weight of Jim's dog and John's dog is shown below.

a. Calculate the weight of John's dog?

b. Calculate the difference in weight of both dogs?

Solution:

a. Weight of John's Dog

Given

Represent John's dog with J and Jim's dog with D

[tex]J = 16.23\ lb[/tex]

From the attachment, we can see that.

[tex]D = \frac{1}{3} * J[/tex]

[tex]D = \frac{1}{3}J[/tex]

To solve for D, substitute 16.23 for J

[tex]D = \frac{1}{3} * 16.23[/tex]

[tex]D = 5.41[/tex]

Hence: Jim's Dog is 5.41lb

b. Difference in Weight

Difference is calculated as thus:

[tex]Difference = J - D[/tex]

[tex]Difference = 16.23 - 5.41[/tex]

[tex]Difference = 10.82[/tex]

Solve for the unknown quantity of x
15/2= 60/x

Answers

Answer:

Directions: Write the name and composition of the following composer/s below. Space provided for your answer.

Simplify completely
(X^2+x-12/x^2-x-20)/(3x^2–24x+45/12x^2-48-60)

Answers

Answer:

(4 (x^4 - 20 x^2 - 12))/(3 x^2 (9 x^2 - 32 x - 144))

Step-by-step explanation:

Simplify the following:

(x^2 + x - x - 20 - 12/x^2)/((15 x^2)/4 + 3 x^2 - 24 x - 60 - 48)

Hint: | Put the fractions in x^2 + x - x - 20 - 12/x^2 over a common denominator.

Put each term in x^2 + x - x - 20 - 12/x^2 over the common denominator x^2: x^2 + x - x - 20 - 12/x^2 = x^4/x^2 + x^3/x^2 - x^3/x^2 - (20 x^2)/x^2 - 12/x^2:

(x^4/x^2 + x^3/x^2 - x^3/x^2 - (20 x^2)/x^2 - 12/x^2)/((45 x^2)/12 + 3 x^2 - 24 x - 60 - 48)

Hint: | Combine x^4/x^2 + x^3/x^2 - x^3/x^2 - (20 x^2)/x^2 - 12/x^2 into a single fraction.

x^4/x^2 + x^3/x^2 - x^3/x^2 - (20 x^2)/x^2 - 12/x^2 = (x^4 + x^3 - x^3 - 20 x^2 - 12)/x^2:

((x^4 + x^3 - x^3 - 20 x^2 - 12)/x^2)/((45 x^2)/12 + 3 x^2 - 24 x - 60 - 48)

Hint: | Group like terms in x^4 + x^3 - x^3 - 20 x^2 - 12.

Grouping like terms, x^4 + x^3 - x^3 - 20 x^2 - 12 = x^4 - 20 x^2 - 12 + (x^3 - x^3):

(x^4 - 20 x^2 - 12 + (x^3 - x^3))/(x^2 ((45 x^2)/12 + 3 x^2 - 24 x - 60 - 48))

Hint: | Look for the difference of two identical terms.

x^3 - x^3 = 0:

((x^4 - 20 x^2 - 12)/x^2)/((45 x^2)/12 + 3 x^2 - 24 x - 60 - 48)

Hint: | In (45 x^2)/12, the numbers 45 in the numerator and 12 in the denominator have gcd greater than one.

The gcd of 45 and 12 is 3, so (45 x^2)/12 = ((3×15) x^2)/(3×4) = 3/3×(15 x^2)/4 = (15 x^2)/4:

(x^4 - 20 x^2 - 12)/(x^2 (15 x^2/4 + 3 x^2 - 24 x - 60 - 48))

Hint: | Put the fractions in (15 x^2)/4 + 3 x^2 - 24 x - 60 - 48 over a common denominator.

Put each term in (15 x^2)/4 + 3 x^2 - 24 x - 60 - 48 over the common denominator 4: (15 x^2)/4 + 3 x^2 - 24 x - 60 - 48 = (15 x^2)/4 + (12 x^2)/4 - (96 x)/4 - 240/4 - 192/4:

(x^4 - 20 x^2 - 12)/(x^2 (15 x^2)/4 + (12 x^2)/4 - (96 x)/4 - 240/4 - 192/4)

Hint: | Combine (15 x^2)/4 + (12 x^2)/4 - (96 x)/4 - 240/4 - 192/4 into a single fraction.

(15 x^2)/4 + (12 x^2)/4 - (96 x)/4 - 240/4 - 192/4 = (15 x^2 + 12 x^2 - 96 x - 240 - 192)/4:

(x^4 - 20 x^2 - 12)/(x^2 (15 x^2 + 12 x^2 - 96 x - 240 - 192)/4)

Hint: | Group like terms in 15 x^2 + 12 x^2 - 96 x - 240 - 192.

Grouping like terms, 15 x^2 + 12 x^2 - 96 x - 240 - 192 = (12 x^2 + 15 x^2) - 96 x + (-192 - 240):

(x^4 - 20 x^2 - 12)/(x^2 ((12 x^2 + 15 x^2) - 96 x + (-192 - 240))/4)

Hint: | Add like terms in 12 x^2 + 15 x^2.

12 x^2 + 15 x^2 = 27 x^2:

(x^4 - 20 x^2 - 12)/(x^2 (27 x^2 - 96 x + (-192 - 240))/4)

Hint: | Evaluate -192 - 240.

-192 - 240 = -432:

(x^4 - 20 x^2 - 12)/(x^2 (27 x^2 - 96 x + -432)/4)

Hint: | Factor out the greatest common divisor of the coefficients of 27 x^2 - 96 x - 432.

Factor 3 out of 27 x^2 - 96 x - 432:

(x^4 - 20 x^2 - 12)/(x^2 (3 (9 x^2 - 32 x - 144))/4)

Hint: | Write ((x^4 - 20 x^2 - 12)/x^2)/((3 (9 x^2 - 32 x - 144))/4) as a single fraction.

Multiply the numerator by the reciprocal of the denominator, ((x^4 - 20 x^2 - 12)/x^2)/((3 (9 x^2 - 32 x - 144))/4) = (x^4 - 20 x^2 - 12)/x^2×4/(3 (9 x^2 - 32 x - 144)):

Answer: (4 (x^4 - 20 x^2 - 12))/(3 x^2 (9 x^2 - 32 x - 144))

The numbers 8, 1, −7, −12 are listed from greatest to least.
True or False

Answers

Answer:True

Step-by-step explanation:

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