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svp [43]
3 years ago
11

When Sandy and Allen's mother decorates the house for a holiday by herself, it takes her 5 hours. When both Sandy and Allen help

, the three can finish the job in 2.5 hours. When only Allen helps his mother decorate, it takes the two 3.5 hours. How long would it take Sandy to decorate the house by herself?
Mathematics
2 answers:
Reil [10]3 years ago
7 0

Answer:

5 hours

Step-by-step explanation:

saveliy_v [14]3 years ago
5 0

Answer:

8 3/4

Step-by-step explanation:

time for all work:

Mother - 5 hours

Mother + Sandy + Allen - 2.5 hours

Mother + Allen - 3.5 hours

Sandy - x

In 1 hour

Mother - 1/5

Mother + Sandy + Allen - 2/5

Mother + Allen - 2/7

Sandy - 1/x

(M+S+A) - S = (M+A)

2/5 - 1/x = 2/7

solve equation

x = 8 3/4 hours

Hope this helps :)

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Find the product of the complex numbers. Express your answer in trigonometric form. z1 = 5(cos(25) + isin(25)) z2 = 2(cos(80) +
zmey [24]

solution:

Z1 = 5(cos25˚+isin25˚)

Z2  = 2(cos80˚+isin80˚)

Z1.Z2  = 5(cos25˚+isin25˚). 2(cos80˚+isin80˚)

Z1.Z2  = 10{(cos25˚cos80˚ + isin25˚cos80˚+i^2sin25˚sin80˚) }

Z1.Z2  =10{(cos25˚cos80˚- sin25˚sin80˚+ i(cos25˚sin80˚+sin25˚cos80˚))}

(i^2 = -1)

Cos(A+B) = cosAcosB – sinAsinB

Sin(A+B) = sinAcosB + cosAsinB

Z1.Z2 = 10(cos(25˚+80˚) +isin(25˚+80˚)

 Z1.Z2     = 10(cos105˚+ isin105˚)


5 0
3 years ago
Connie is packing for a trip. She has 17 pairs of jeans. If she has room to pack 6 pairs how many ways can she choose which jean
Evgesh-ka [11]

Answer:12,376

Step-by-step explanation:

Given

Connie has 17 Pairs of jeans

She has to choose 6 pairs out of 17

We know, no of ways to pick r items out of n items is ^nC_r

\therefore \text{No of ways is =}^{17}C_6\\\\\Rightarrow \dfrac{17!}{(17-6)!6!}=12,376\ \text{ways}

6 0
2 years ago
I posted a question similar to this but I entered it wrong too many times :(
slava [35]

Answer:

\sqrt[4]{\frac{5}{7} }

Step-by-step explanation:

^4√5/^4√7

~Apply radical rules

^4√5/7

Best of Luck!

5 0
3 years ago
Read 2 more answers
answer #14 for me plss and thank you!!!!​ pls do not answer if you don't know the answer just comment
olga_2 [115]

Answer:

2, 3

Step-by-step explanation:

The graph of quantities in direct proportion.

Is a straight line passing through the origin, thus

the line always crosses the y- axis at |(0, 0 )

Thus the y- intercept is 0

3 0
2 years ago
The Sunny Days Apartment building has a cylindrical, above ground pool in the yard. The radius of the pool is 2 times its height
garik1379 [7]

9514 1404 393

Answer:

  6.2 ft

Step-by-step explanation:

The volume of a cylinder is given by ...

  V = πr²h

Here, we have r=2h and V=3000 ft³. Putting these numbers into the formula and solving for h, we get ...

  3000 ft³ = π(2h)²h

  (3000 ft³)/(4π) = h³ . . . . . divide by the coefficient of h³

  h = ∛(750/π) ft ≈ 6.2 ft

The pool is about 6.2 feet deep.

3 0
2 years ago
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