1. When Jack and Jill work together, they can carry a cooler of
water up a hill in 12 hours. When Jill works alone it takes her
7 fewer hours than when Jack works alone. How long would it
take Jack, working alone, to carry a cooler of water up a hill?

Answers

Answer 1

9514 1404 393

Answer:

  28 hours

Step-by-step explanation:

Let x represent Jack's time. Then Jill's is x-7. Together their rate of carrying water in hills per hour is ...

  1/x + 1/(x -7) = 1/12

Multiplying by 12x(x -7) gives ...

  12(x -7) +12x = x(x -7)

  x^2 -31x +84 = 0 . . . . . subtract the left side and simplify

  (x -3)(x -28) = 0 . . . . . . . . . . factor

  x = 3  or  x = 28 . . . . . . . . . . x-values that make the factors zero

We know the times must be longer than 12 hours, so the value x=3 is extraneous for this problem.

It takes Jack 28 hours to carry the cooler of water up the hill working alone.


Related Questions


Jenny recorded the weight of 5 dogs. Each dog weighed a different amount. She recorded the results
Which conclusion can be made about the interquartile range of Jenny's box plot?
a box plot.

A)
All the dogs weighed 15 pounds or less.

B)All the dogs weighed between 5 and 15 pounds.

C)The middle 50% of the dogs weighed between 5 and 15 pounds.

D)
The interquartile range was higher than it should be because of the dog
that weighed 20 pounds.

Answers

Answer:

C

Step-by-step explanation:

the middle 50% wold be the numerical values in the actual box part of the box plot.

What is (are) the solution(s) to the equation 23x−3=−13x−6?

Answers

From Question ,
23x-3 = 13x-6
Or, 23x-13x = -6+3
Or, 10x = -3
Or, x = -3/10
Therefore x = -3/10 ans

Hope this helps !

Please mark it as the brainliest

1. Miriam is starting a lawn mowing business. She bought a mower for $450 and will spend

about $1.20 per hour on gasoline. How many hours will it take for the average cost per hour

for Miriam to do business to be less than $50. If x represents the number of hours she

mows, which inequality shows the average cost per hour for Miriam to do business and what

is the solution? (A.REI.2, A.CED.1)

a. 450 + 1.20x < 50; she can never have an average less than $50

b. 450 + 1.20x < 50; 14 hours

c. 450 + 1.20x < 50; 10 hours

d. 450 – 1.20x < 50; 9 hours

Answers

Answer:

she can never have an average less than $50 b. ... If demand of gasoline is inelastic, more of the burden of tax can be ...

Step-by-step explanation:

0540-0058= ???
In military time

Answers

Answer:

0442 (4:42 normal time)

btw plz give brainliest

ASAP
Which equation best represents the table below?

Answers

i think the answer is D

If u can help please do

Answers

Answer:

the first one is 240

the second one is 280

the third one is 200

The answers that would be discarded would be 220, 360 and 500

Step-by-step explanation:

Hey There!

So for this problem all we have to do is plug in the hours worked and drones sold into the expression 10h+40d

For the first one we just plug in 8 for hours (because he worked 8 hours) and 4 for drones ( because he sold 4 drones )

so we would have 10(8) + 40(4)

10x8=80

40x4=160

160+80=240 So 240 would go with the first one

For the second one we plug in 4 for hours ( because he worked 4 hours) and 6 for drones ( because he sold 6 drones)

so we would have 10(4)+40(6)

10x4=40

40x6=240

240+40=280

So 280 would go with the second one

For the third one we plug in 12 for hours ( because he worked 12 hours) and 2 for drones ( because he sold 2 drones)

so we would have

12(10)+2(40)

12x10=120

2x40=80

120+80=200

so 200 would go with the third one

hope this helps :)

Benjamin owns a small business selling used books. He knows that in the last week 13
customers paid cash, 33 customers used a debit card, and 97 customers used a credit
card.
with a
Based on these results, express the probability that the next customer will pay
debit card as a percent to the nearest whole number.

Answers

Answer:

The answer is 23%

Step-by-step explanation:

Tammy made $208 for 13 hours of work.
At the same rate, how much would she make for 9 hours of work?

Answers

Answer:

$144

Step-by-step explanation:

1) Divide $208 by 13 hours to find out how much money she would make for 1 hour of work.

208 ÷ 13 = 16

1 hour = $16

2) Multiply the amount of money she makes for 1 hour by 9.

16 × 9 = 144

She makes $144 for 9 hours of work.

I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!

Answer:

$144 for 9 hours of work.

Step-by-step explanation:

15,19,23,__,31 find the number sequence

Answers

Answer:

27

Step-by-step explanation:

yes.

are you trying to find the missing number bc if so then its 27

15,19,23,27,31

The length of a guy wire supporting a cell tower is 120 meters. The guy wire is
anchored to the ground at a distance of 80 meters from the base of the tower. To
the nearest hundredth of a meter, how tall is the tower?
120 m
cell tower
80 m

Answers

Answer: 140

Step-by-step explanation:

n calculate

find the value of given expression ?

[tex] \sqrt{35 + 25 + 21} [/tex]

Answers

Step-by-step explanation:

The answer will be 9 I hope this help you

need help on number 3. plzzzz!

Answers

Answer:

Step-by-step explanation:

x             y = -5          y            (x, y)

-1                              -5            (-1, -5)

0                              -5            (0, -5)

1                               -5            (1, -5)

Slope between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope between points (-1, -5) and (0, -5) will be,

Slope = [tex]\frac{-5-(-5)}{-1-0}[/tex]

          = 0

Slope of the line passing through the given points will be 0.

+-√-49=+-
please help

Answers

Answer: 0 if I am not mistaken

the sum of two rational numbers is 2/5. of one of the rational number is -3/7 then find the other rational number ​

Answers

Answer:

-29/35

Step-by-step explanation:

Which expression is equivalent to −36y−13?


−12(3y−1)+1


−12(3y+1)+1


−12(3y+1)−1


−12(3y−1)−1

Answers

Answer:

[tex]-12(3y+1)-1[/tex]

Step-by-step explanation:

Can someone please help me on this question ASAP!! thank you. ' what are the coordinates of A & B? '

Answers

Answer:

First photo:

A: (2, 6)B: (8, 4)

Second photo:

A: (0, 4)B: (5, 0)

Third photo:

A: (8.5, 4)B: (2.5, 1.5)

Fourth photo:

A: (4, 2)B: (-2, 3)

Fifth photo:

A: (3, -5)B: (-4, -1)

I hope this helps!

I need help agen plz my teachers are still asking me to stay

Answers

Answer:

y = 7x^2  + 42x + 64

Step-by-step explanation:

... i know standard form, you just distribute the exponent to the parenthesis amounts and put it in order, hope it helps

Answer:

y = 7 x ^2 + 42 x + 64

Step-by-step explanation:

I really need help with thing I am in math class help this is due today

Answers

Answer:

C

Step-by-step explanation:

The triangle is doubled

Lauren has $90 in a savings account. The interest rate is 5%, compounded annually. To
the nearest cent, how much will she have in 2 years?

Answers

Answer:

sorry

Step-by-step explanation:

Answer: the answer is 99.23

Step-by-step explanation: not needed

For the function f(x)=5/4x−2, find the value of f (6). Express your answer as a fraction.

Answers

Answer:

f(6) = [tex]\frac{5}{22}[/tex]

Step-by-step explanation:

To evaluate f(6) substitute x = 6 into f(x), that is

f(6) = [tex]\frac{5}{4(6)-2}[/tex] = [tex]\frac{5}{24-2}[/tex] = [tex]\frac{5}{22}[/tex]

-10x=bm-3
solve for m

Answers

Answer:

M=-10x/b+3/b

Step-by-step explanation:

are the triangles similar, AA , SAS, SSS or not ?

Answers

Answer:

SSS

Step-by-step explanation:

Can't be AA. (no angles given)

Can't be SAS. No angles Given

Can't be not. (CPCTC)

using absolute value operation what is: -6 and -3

Answers

Answer:

Well if you talking about absolute value. Those Values should automatically turn to positive 6 and positive 3

Absolute value is where no matter what number is or integer it is it always turns into a positive number.

A right triangle has a hypotenuse of 15 cm. What are possible lengths for the two legs of the triangle. Explain your answer.

Answers

Answer: 15, 3 and 6

Step-by-step explanation: The other leg is 2 × 3 = 6

Solve the inequality for x: 1/2(2x + 4) = 3x -6

Answers

The answer for this problem is x=4

Steve bought used and new video games from a website. The new games cost $54 each and the used games cost $9 each. He spent no more than $243 on the video games and he bought no more than 7 video games. Let x represent the number of new video games, and let y represent the number of used video games. Identify an ordered pair that is a solution to the system of inequalities. Interpret the meaning of the ordered pair within the context of the problem by selecting the appropriate explanation.

Answers

Answer:

y = 3 used games

x = 4 new games

Step-by-step explanation:

54x + 9y = 243

x + y = 7   then x = 7 - y

substitute for x:

54(7 - y) + 9y = 243

378 - 54y + 9y = 243

reduce:

378 - 45y = 243

subtract 243 from each side:

135 - 45y = 0

add 45y to each side:

45y = 135

divide both sides by 45:

y = 3

x = 7 - 3 = 4

check:

3+4 = 7

7 = 7

54(4) + 9(3) = 243

243 = 243

Find the Volume please help​

Answers

Hopes this helps if wrong please correct me:

Answer:

183.35m

If q is the centroid of JKL, LN=72,JP=93, and MK=78, find each missing measure

Answers

*diagram is in the attachment below

Answer:

Step-by-step explanation:

Given:

LN = 72

JP = 93

MK = 78

Required:

LQ, QN, QP, JQ MQ, and KQ.

Solution:

Apply the centroid theorem to find each missing measure.

✔️LQ = ⅔(LN)

LQ = ⅔(72)

LQ = 48

✔️QN = ⅓(LN)

QN = ⅓(72)

QN = 24

✔️QP = ⅓(JP)

QP = ⅓(93)

QP = 31

✔️JQ = ⅔(JP)

JQ = ⅔(93)

JQ = 62

✔️MQ = ⅓(MK)

MQ = ⅓(78)

MQ = 26

✔️KQ = ⅔(MK)

KQ = ⅔(78)

KQ = 52

A ball is dropped from a height of 192 inches onto a level floor. After the third bounce it is still 3 inches off the ground. Presuming that the height the ball bounces is always the same fraction of the height reached on the previous bounce, what is that fraction?

Answers

Answer: The required fraction = [tex]\dfrac18[/tex]

Step-by-step explanation:

Let the required fraction = [tex]\dfrac{p}{q}[/tex]

Given: Initial height = 192 inches

Height of ball after second bounce = [tex]\dfrac{p}{q}\times192[/tex]

Height of ball after third bounce = [tex]\dfrac{p}{q}\times\dfrac{p}{q}\times192=192\dfrac{p^2}{q^2}[/tex]

After the third bounce it is 3 inches off the ground.

So,

[tex](\dfrac{p}{q})^2192=3\\\\\\(\dfrac{p}{q})^2=\dfrac{3}{192}\\\\(\dfrac{p}{q})^2=\dfrac{1}{64}\\\\(\dfrac{p}{q})^2=(\dfrac{1}{8})^2\\\\ \dfrac{p}{q}=\dfrac{1}{8}[/tex]

Hence, The required fraction = [tex]\dfrac18[/tex]

Help me with this plzzzzz I need to finish it rn so PLZZ help asp

Answers

Answer:

1. 16π

2. 112π

3. 351.68

Step-by-step explanation:

Area of a circle = πr^2

Substitute...

=4^2π

=16π

To find the how much fluid it can hold, just basically find its volume. To do that, you mutiply the area of the base by the height. So...

16π*7=122π

You then just subsitute π by 3.14 so...

122(3.14)=351.68

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