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IceJOKER [234]
3 years ago
15

On their way up the hill, Jack and Jill were stopped by their parents. It seems the two of them were trying to skip out on some

chores. They were told to mow the lawn, clean the kitchen, and sweep the leaves off the deck. If Jack can complete all the chores in 3 hours by himself and Jill takes only 2.25 hours to get all of it done on her own, how many minutes will it take for the two of them to get the work done together
Mathematics
1 answer:
Katarina [22]3 years ago
3 0

Answer:

77.14 minutes.

Step-by-step explanation:

Jack's time = 3 hours

Jill's time = 2.25 hours = 2 1/4 = 9/4 hours

Combined time = x

Rates :

Jack = 1/3 ; jill = 1 / 2.25 = 1 / 9/4 = 4 /9

Combined rate = 1/x

Setting up the equation :

1/3 + 4/9 = 1/x

Lcm of 3 and 9 = 9

(3 + 4) / 9 = 1/x

7/9 = 1/x

Cross multiply :

7x = 9

x = 9/7 hours

x = (9/7)* 60

x = 77.14 minutes

Combined time = 77.14 minutes.

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Answer:

6

Step-by-step explanation:

Step by step solution :

Step  1  :                                                                                                          Simplify 6/1

Final result :

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4 0
3 years ago
Read 2 more answers
The marked price of a radio is 25 % above the selling price and the cost price is
Arte-miy333 [17]

Answer:

mp=sp+25%ofsp=1.25sp

mp=1.25sp

sp=1/1.25×mp=0.8mp

cp=mp-30%ofmp=0.7mp

discount=mp-sp=mp-0.8mp=0.2mp

  1. discount %=discount/mp×100%=0.2mp/mp×100%=20%
  2. profit=sp-cp=0.8mp-0.7mp=0.1mp
  3. profit%=profit/cp×100%=0.1mp/0.7mp×100%=0.1×100/0.7%=10/0.7%=14.28%
3 0
3 years ago
Θ is in Quadrant III and cos^2 0= 1/4
pychu [463]
I think you mean to say \cos^2\theta=\dfrac14. If \theta is in the third quadrant, then \sin\theta and \cos\theta. Recall that


\sin^2\theta+\cos^2\theta=1\implies\sin\theta=\pm\sqrt{1-\cos^2\theta}

We expect \sin\theta to be negative, so we take the negative root. We end up with

\sin\theta=-\sqrt{1-\dfrac14}=-\dfrac{\sqrt3}2

We also know to expect \cos\theta, so

\cos\theta=\pm\sqrt{\dfrac14}\implies\cos\theta=-\dfrac12


By definition, we have

\cot\theta=\dfrac{\cos\theta}{\sin\theta}

and so

\cot\theta=\dfrac{-\frac12}{-\frac{\sqrt3}2}=\dfrac1{\sqrt3}
7 0
3 years ago
On a coordinate grid what is the distance of (-2,4) and (5,4)
Alex

Answer:

the distance is 7 units

Step-by-step explanation:

Since the we calculate the distance between (-2,4) and (5,4) and those points have the same y=4 coordinate then they are both part of a horizontal  line.

The distance is found by looking at the x-axis.

From -2 to 5 so is form -2 until 0 is (2 )+ (5 )more = 7

3 0
2 years ago
Please help I’ll mark you as brainliest if correct
nadezda [96]

Answer:

I  think it is c

Step-by-step explanation:

because if you try to solve it you get that answer

5 0
2 years ago
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