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Lena [83]
3 years ago
11

WILL MARK BRAINLIEST!!!!Max and Maggie have to clean the house. It takes Max 12 hours to clean the house, while Maggie can compl

ete the task in 4 hours. Their sister says that it will take 3 hours to complete if they work together. Explain each step in solving this equation, and determine if the sister is correct or not.
Mathematics
2 answers:
VashaNatasha [74]3 years ago
4 0
Suppose there are 12 equal parts of the house to be cleaned. Max can do 1 per hour, and Maggie can do 3 per hour.

The number of units they can do together in x hours is x+3x. Since there are 12 units to do, x+3x=12. For x=3 this is true, so the sister was right!
Alex787 [66]3 years ago
3 0
The sister is correct, because if you divide 12 by 4 your answer is 3 hours.
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Suppose you are given a square with an inscribed circle. If the area of the square is 36 m^2. What is the area of the circle?
loris [4]
If the square has sides of 6 the circle has a radius of 3 so it's area is 9pi
4 0
3 years ago
Read 2 more answers
Make a conjecture. What properties do you think stay the same after a translation? Check all that Apply.
Ilia_Sergeevich [38]

Answer: ALL OF THE ABOVE

Step-by-step explanation:

a translation doesn't change any of the above, they all remain the same. it's a trick question :P

8 0
3 years ago
A room that is 5 meters long has an area
Sveta_85 [38]

Answer:

Breadth=x+2

Step-by-step explanation:

Solution,\\\\Length(l)=5m\\\\Area=5x+10m^{2} \\\\Breadth(b)=?\\\\As,\\\\Area=l*b\\\\5x+10=5*b\\\\b=\frac{5x+10}{5}\\\\b=\frac{5x}{5} +\frac{10}{5} \\\\b=x+2

7 0
3 years ago
Find the exact value of tan 15 degrees
pentagon [3]
<span>tan(15) = 
sin(15) / cos(15) = 
sin(45 - 30) / cos(45 - 30) = 
[ sin(45)cos(30) - sin(30)cos(45) ] / [ cos(45)cos(30) + sin(45)sin(30)] 

Since sin(45) = cos(45) = √2/2, you can just factor that out from the top and bottom 
[ cos(30) - sin(30) ] / [ cos(30) + sin(30)] 
[ √3/2 - 1/2 ] / [ √3/2 + 1/2] 
(√3 - 1) / (√3 + 1) 
(√3 - 1)^2 / (√3+1)(√3 - 1) 
(√3 - 1)^2 / (3 - 1) 
(3 - 2√3 +1) / 2 
2 - √3 

There's also a formula for tan(a-b), but I couldn't remember it off hand.</span>
4 0
3 years ago
John works Monday to Friday. He buys his lunch on his way to work. Each day John buys a sandwich, a bottle of water and a bag of
kipiarov [429]

Complete question

Shop A _________________ shop B £3

Any sandwich - £2.85 ___ sandwich, water crisp

A bottle of water - 60p

A bag of crisp - 85p

Answer:

£6.50, John is incorrect

Step-by-step explanation:

Number of working days = 5 = number of days meal is purchased

Total cost per meal, shop A :

£(2.85 + 0.60 + 0.85) = £4.3

Total cost for the week = 4.3 * 5 = £21.50

Total cost per meal cost Shop B = £3

Total cost for the week = 3 * 5 = £15

Difference :

£21.50 - £15 = £6.50

Hence, Amount John saves by buying from shop B is £6.50

Numbe

4 0
3 years ago
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