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labwork [276]
3 years ago
9

Louis wants to carpet the rectangular floor of his basement. The basement has an area of 1,176 square feet. The width of the bas

ement is 2 3 its length. What is the length of Louis's basement?
Mathematics
1 answer:
julia-pushkina [17]3 years ago
6 0

Answer: 42 feet

Step-by-step explanation:

Let the length be x

Therefore, width = 2/3x

Area = Length × Width

Therefore, x × 2/3x = 1176

2/3x² = 1176

Divide both side by 2/3

x² = 1176 ÷ 2/3

x² = 1176 × 3/2

x² = 1764

x = ✓1764

x = 42

The length is 42 feet

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iVinArrow [24]

Answer:

36 cm

Step-by-step explanation:

P = 2l + 2w

Plug in

P = 2(14) + 2 (4)

P = 28 + 8

P = 36

5 0
3 years ago
Read 2 more answers
A group of eight golfers paid $430 to play a round of golf . Of the golfers one was a member and 7 were not what is the cost for
charle [14.2K]

Answer:

Incomplete question

Complete question;

A group of eight golfers paid $430 to play a round of golf . Of the golfers one was a member and 7 were not.

Another group of golfers consists of two members and one nonmember. They paid a total of $75. What is the cost for a member to play a round of golf, and what is the cost for a nonmember?

Answer: X = $82.695 for members

Y = $49.615 for non members

Step-by-step explanation:

Let's use X to denote members and Y for non-members.

Therefore, amount paid by one member to play + amount paid by 7 non-members to play = 430

X + 7Y = 430. . .1

Amount paid by 2 members to play + amount paid by one non-member to play = 215

2X + Y = 215. . .2

Solving both equations simultaneously

X+7Y = 430

2X +Y = 215

Therefore, from eqn 1. X = 430-7y

Substituting this into wan 2 gives

2(430-7Y) + Y = 215

860-14Y + Y = 215

860-215 =13Y

645 = 13y

Y = 49.615

Therefore substituting Y = 49.615 into any equation above

X + 7(49.615) = 430

X = 430-347.05

X = 82.695

3 0
3 years ago
How is adding mixed numbers with unlike denominators the same as adding fractions with unlike denominators? How is it different?
Sedaia [141]
To add a mixed number you must first convert it into a heavy headed fraction eg. 12/4
Then you must find a common denominator for all of the fractions like you normally do for regular addition of fractions
After you have added them you must convert the heavy headed fraction back into a mixed number by seeing how many times the numerator goes into the denominator
5 0
3 years ago
50% of all the cakes Lucy bakes that week were party cakes: one fifth were fruit cakes and the remainder were sponge cakes. What
dusya [7]
50% is equal to 5/10 so 5/10 were party cakes 1/5x2=2/10 so 2/10 were fruit cakes 5/10+2/10=7/10 so 10/10 which is 100% of all cakes 10/10-7/10=3/10 so 3/10 of the cakes were sponge cakes.
7 0
3 years ago
Which line(s) intersect the parabola y = x^2 − 3x + 4 at two points? Select all that apply. A. y = –3x + 2 B. y = –3x + 3 C. y =
TEA [102]

Answer:

C and D

Step-by-step explanation:

Equating the line A and the parabola, we get

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0 = x² - 3x + 4 +3x - 2

0 = x² + 2

-2 = x²

which has no real solutions. Then, the line A and the parabola don't intersect each other.

Equating the line B and the parabola, we get

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Equating the line C and the parabola, we get

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0 = x² - 3x + 4  + 3x - 5

0 = x² - 1

1 = x²

√1 = x

which has 2 solutions, x = 1 and x = -1. Then, the line C and the parabola intersect each other.

Equating the line D and the parabola, we get

-3x + 6 = x² - 3x + 4

0 = x² - 3x + 4  + 3x - 6

0 = x² - 2

2 = x²

√2 = x

which has 2 solutions, x ≈ 1.41 and x ≈ -1.41. Then, the line D and the parabola intersect each other.

4 0
3 years ago
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