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Hatshy [7]
3 years ago
8

Andrea can clean a house 4 times as fast as Denise. When they work together, Andrea and Denise can clean a large house in 8 hour

s. How many hours would it take Denise to clean the house by herself?
Mathematics
1 answer:
kifflom [539]3 years ago
4 0
Ummmmhmmm not sure ,but im guessing 32

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“Rewrite the expression 5(6+9) as the sum of 30 and another whole number”.
Svet_ta [14]
5(6+9)

Times the five by the numbers in the bracket

30 + 45
=75
7 0
3 years ago
a boat traveled 14 miles per hour downstream. the trip upstream was at a speed of 10 miles per hour. what is the speed of the bo
MariettaO [177]

Answer:

(im not sure what the first question is asking me)

Speed of the current is 2 miles per hour

Step-by-step explanation:

The reason the current is 2 miles per hour is because it when going down stream they were going 14 miles per hour, going upstream they went 10. The difference is 4mph. So if the current pushes you 2mph when going down stream and holds you 2 mph when going up, the constant speed is 12mph then you add and subtract 2 becuase of the two directions youre traveling. hence 10mph and 14mph.

7 0
3 years ago
Expand the given power using the Binomial Theorem. (10k – m)5
agasfer [191]

Answer:

(10k - m)^{5}=100000k-50000k^{4}m+10000k^{3}m^{2}-1000k^{2}m^{3}+50km^{4}-m^{5}

Step-by-step explanation:

* Lets explain how to solve the problem

- The rule of expand the binomial is:

(a+b)^{n}=(a)^{n}+nC1(a)^{n-1}(b)+nC2(a)^{n-2}(b)^{2}+nC3(a)^{n-3}(b)^{3}+...............+(b)^{5}

∵ The binomial is (10k-m)^{5}

∴ a = 10k , b = -m and n = 5

∴ (10k-m)^{5}=(10k)^{5}+5C1(10k)^{4}(-m)+5C2(10k)^{3}(-m)^{2}+5C3(10k)^{2}(-m)^{3}+5C4(10k)^{1} (-m)^{4}+5C5(10k)^{0}(-m)^{5}

∵ 5C1 = 5

∵ 5C2 = 10

∵ 5C3 = 10

∵ 5C4 = 5

∵ 5C5 = 1

∴ (10k-m)^{5}=100000k^{5}+(5)(10000)k^{4}(-m)+(10)(1000)k^{3}(m^{2})+(10)(100)k^{2}(-m^{3})+5(10k)^{1} (m^{4})+(10k)^{0}(-m^{5})

∴ (10k-m)^{5}=100000k^{5}-50000)k^{4}m+10000k^{3}m^{2}-1000k^{2}m^{3}+50km^{4}-m^{5}

5 0
3 years ago
What is the perimeter of the rectangle? Write your answer in scientific notation. The area is 2.76 x 10 pw12 the width is 4.6 x
Elanso [62]
The caret (^) is the symbol conventionally used to indicate an exponent.

You have
  area = 2.76·10^12
  width = 4.6·10^5

You want to find the perimeter of the rectangle with these dimensions.

The perimeter of a rectangle is twice the sum of length and width.
  perimeter = 2*(length + width)
The length can be figured from the area using the formula for area.
  area = length*width
  area/width = length . . . . . . . . . divide by width
Filling in the numbers, we have
  perimeter = 2*((2.76·10^12)/(4.6·10^5) +(4.6·10^5))
  perimeter = 2*(6.0·10^6 +0.46·10^6)
  perimeter = 2*6.46·10^6 = 1.292·10^7

The perimeter of the rectangle is ...
  1.292·10^7
6 0
3 years ago
The table represents a proportional relationship the equation y=2/15x represents another proportional relationship. Of these two
scZoUnD [109]
I think it's A. I can't really see the graphs clearly. It's the one that crosses at (15,2)
8 0
3 years ago
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