MATHEMATICS MIDDLE SCHOOL

Dave can paint the office by himself in 4 hours. Working with an associate, he can paint theoffice in 3 hours. How long would it take his associate to do it working alone?

Answers

Answer 1
Answer:

Answer:

It would take 12 hours for his associate to do the complete work alone.

Step-by-step explanation:

Let 'x' be the hours taken by his associate working alone.

Given:

Time to paint the office by Dave is 4 hours.

Time to paint the office together is 3 hours.

Therefore, the part of work completed by Dave alone in 1 hour is (1)/(4)

Part of work completed by an associate in 1 hour is (1)/(x)

Now part of work completed by both in 1 hour is (1)/(3)

Therefore,

(1)/(4)+(1)/(x)=(1)/(3)\n\n(1)/(x)=(1)/(3)-(1)/(4)\n\n(1)/(x)=(4-3)/(12)\n\n(1)/(x)=(1)/(12)\n\nx=12\ h

Therefore, it would take 12 hours for his associate to do the complete work alone.

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Explain how to use the missing pieces strategy to compare two fractions.include a diagram with your explanation.

Answers

In order for us to tell whichever fraction is greater than or lesser than, we need to look for the missing part. 

For example,  we have 2/3 and 1/3.
2/3 needs to have 1/3 in order to complete the whole.
1/3 needs to have 2/3 in order to complete the whole.

1/3 < 2/3
So 2/3 is bigger than 1//3

What is -9x-(2x/-3) When x equals 7

Answers

-9x- (2x)/(-3)

-9*(7) - (2*7)/(-3)

9*7 = 63

(2*7)/(-3) = (14)/(-3)

Apply the fraction  rule : (a)/(-b) = - (a)/(b)

= - (14)/(3)

-63-( -(14)/(3) )

Apply rule  - ( - a) = a

-63+ (14)/(3)

Convert  element to fraction :

63 = (63)/(1)

-(63)/(1) + (14)/(3)

Find the LCD 1*3 = 3

- (63*3)/(3)+ (14)/(3)

(-3+63+14)/(3) = (-175)/(3)

Apply the fraction  rule : (a)/(-b) = - (a)/(b)

= - (175)/(3)

hope this helps!

Remainder of 29 and 5

Answers

The answer is 5 remainder 4
\sqrt[5]{29}

5 goes into 29 five times, because 5 * 5 = 25

29 - 25 = 4

29 ÷ 5 = 5 r 4

Which lines are parallel? Justify your answer.

Answers

parallel lines never touch, if that helps.

Answer:

=

Step-by-step explanation:

this is a example of parallel the lines must be equal and not touch or cross each other

Y-6x-9=0 asa function notation

Answers

f(x) = 6x + 9 ← in functional notation

let y = f(x) and rearrange the equation making y the subject

add 6x + 9 to both sides

y = 6x + 9

thus f(x) = 6x + 9

Plz I really need help GIVING OUT 52 POINTS!!!Part A: The Sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the Sun produce in 2.45 ⋅ 105 seconds? Express your answer in scientific notation and show your work. (5 points)

Part B: Which is the more reasonable measurement of the distance between the tracks on a DVD:
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7.4 x 10-4mm, I think. Hope this helps! Have a great day!
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