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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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Ryan and Sarah collect baseball cards. Ryan has 150 baseball cards and collects 10 cards per week. Sarah has 233 baseball cards
ICE Princess25 [194]

Answer:

About 17 weeks

Step-by-step explanation:

Given

Ryan:

Initial = 150

<em />Additional = 10<em> (weekly)</em>

Sarah:

Initial = 233

Additional = 5 (weekly)

Required

Determine the number of weeks they have the same cards

Represent the number of weeks with w:

For Both individuals, number of card at any given week is:

Initial + Additional * w

So,

For Ryan, the expression is:

150 + 10 * w

150 + 10w

For Sarah, the expression is:

233 + 5 * w

233 + 5 w

To determine the number of weeks, we have to equate both equations:

150 + 10w= 233 + 5 w

Collect Like Terms

10w - 5w = 233 - 150

5w = 83

Solve for w

w = 83/5

w = 16.6

16.6 implies about 17 weeks, because 16.6 approximates to 17

<em>Conclusively, Ryan and Sarah will have the same number of balls in about 17 weeks</em>

5 0
3 years ago
The area of a rectangle is 1176 square meters. The width of the rectangle is 21 meters. What i the length of the rectangle?
____ [38]
The length is 56 meters
6 0
3 years ago
Read 2 more answers
Evaluate -(2^6)(2^3)
valina [46]

Answer:

- (2^9)

Step-by-step explanation:

-(2^6)(2^3)

We know a^b * a^c = a^( b+c)

- ( 2 ^ (6+3))

- (2^9)

7 0
4 years ago
What is the value of the expression |a + b| + |c| when a = –6, b = 2, and c = –11?
iVinArrow [24]
The answer is D. -15 because I am assuming that the vertical lines mean brackets, and we have to work out the brackets first (according to BIDMAS). Doing so, -6 + 2 = -4 and -4 + -11 = -15.
8 0
3 years ago
What percent of 600 is 84?
Damm [24]
84 = x% * 600

84 = x/100 * 600

84 = x * 6

6x = 84

Divide 6 on both sides.

x = 84/6

x = 14


14 percent<span> of 400 is 8.</span>
6 0
3 years ago
Read 2 more answers
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