Sally and Joan were able to dust the house in 3 hours together. It takes Joan 10 hours to finish the same job alone. Without help, how long would it take Sally to finish the same job ?

Answers

Answer 1
Answer:

Answer:

4.3 hours

Step-by-step explanation:

Let the number of hours Sally does a job = x

Let the number did hours Joan does a job be equal to y

Sally and Joan were able to dust the house in 3 hours together.

1/x + 1/y = 1/3

It takes Joan 10 hours to finish the same job alone.

Hence,

1/x + 1/10 = 1/3

1/x = 1/3 - 1/10

Least common dey = 30

1/x = 10 - 3/30

1/x = 7/30

Cross Multiply

x × 7 = 30

7x = 30

x = 30/7

x = 4.2857142857 hours

Approximately = 4.3 hours

Without help, it would take Sally 4.3 hours to finish the same job.


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Just need help with question A

Answers

Answer:

Y = 0

Step-by-step explanation:

Y = -1/2 x²

To find y-intercept, substitute X = 0

Solve the equation for y

Y = 0

Y=0 is the answer hope this helps

Please help the question is in the picture x

Answers

E\to1\ *\ 1\ *\ 24\n\nF\to1\ *\ 2\ *\ 12\n\nG\to1\ *\ 3\ *\ 8\n\nH\to1\ *\ 4\ *\ 6\n\nI\to2\ *\ 2\ *\ 6\n\nJ\to2\ *\ 3\ *\ 4
E is 1 x 1 x 24
F is 1 x 2 x 12
G is 1 x 3 x 8
H is 1 x 4 x 6
I is 2 x 2 x 6
J is 2 x 3 x 4
Happy to Help!

What is 1280 billion devided by 47.9%

Answers

47.9\%=(47.9)/(100)=0.479\n\n1280\ bilion=1,280,000,000,000\n\n1,280,000,000,000:0.479\approx2,672,233,820,459

A right pyramid has a regular hexagon as a base. The slant height is 20, and the perimeter of its base is 10. What is the lateral surface area of the pyramid

Answers

Answer:

100 unit^2

Step-by-step explanation:

lateral surface area of right pyramid = .5*p*s

p = perimeter

s = slant ht

LS = 100 unit^2

Compare the graphs of the inverse variations y=-0.2/x and y=-0.3/x. Provide at least 3 comparisons

Answers

- both are not defined for x = 0

- both have the same symmetry axis: y = x

- both are hyperbolas

- both have the same asymptotes: the y-axis, i.e. y = 0

- both have the same limits when x approaches 0 by the right and by the left: positive and negative infinity.

-  both have the same limits when x approaches + and - infinity: zero.

- they never touch one to each other
 

Explain the different ways it is possible to add two rational numbers and get a negative number

Answers

Answer:
both numbers are negative
negative number is greater than the positive number

Explanation:
In order to add two rational numbers and get a negative value, one of two scenarios should occur:
1- both numbers are negative.
In this case, the answer would definitely be negative as the two numbers are originally negative
Examples:
-9 + -2 = -9 - 2 = -11
(-1)/(2) +   (-3)/(2) =  (-4)/(2) = -2

2- negative number is greater than the positive number
In this case, the negative sign would dominate and the result would be negative
Examples:
-9 + 3 = -6
(-5)/(6) +  (2)/(6) =  (-3)/(6)

Hope this helps :)

-- If both of them are negative,

or

-- If their signs are different and the negative number has
a bigger absolute value than the positive one,

then

-- Their sum is negative.

Actually, I don't think it matters whether they're rational or not.