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AlexFokin [52]
1 year ago
9

Louis wants to carpet the rectangular floor of his basement the basement has an area of 864 square feet the width of the basemen

t is 2/3 its length what is the length of Louis's basement
Mathematics
1 answer:
Irina18 [472]1 year ago
3 0
Divide the 864 by three and multiply that answer by 2.
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2 years ago
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Your friend is trying to grow her hair as long as her cousin’s hair. The table shows their hair lengths y (in inches) in differe
Effectus [21]
<span>Given the table that shows the hair lengths y (in inches) of your friend and her cousin in different months x.

Month      Friends Hair(in)      Cousins Hair(in)
    3                     4                              7
    8                    6.5                            9.

To solve for the cousins hair, recall that the equation of a line is given by

y = mx + c

From the table,

7 = 3m + c . . . (1)
9 = 8m + c . . . (2)

(1) - (2) ⇒ -2 = -5m
\Rightarrow m= \frac{2}{5} =0.4

Substituting for m into equation (1) gives:

7=3(0.4)+c \\  \\ \Rightarrow c=7-1.2=5.8

Therefore, the equation representing the growth of the cousin's hair is given by y = 1.2x + 5.8
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7 0
2 years ago
It takes 8 minutes for Byron to fill the kiddie pool in the backyard using only a handheld hose. When his younger sister is impa
andreyandreev [35.5K]

Let us say that the procedure of completely filling up the pool with water is called “1 job”. Therefore the rates of the equipment in doing the job would be:

<span>Rate of handheld hose = 1 job / 8 minutes                  ---> 1</span>

<span>Rate of lawn sprinkler = r                                             ---> 2</span>

<span>Rate of the two combines = 1 job/ 5 minutes               ---> 3</span>

So we are to find the equation to use, in this case, we simply have to add equations 1 and 2 to get 3:

1 / 8 + r = 1 / 5

Multiplying both sides by 5:

<span>(5 / 8) + 5 r = 1                                                               ---> ANSWER</span>

8 0
2 years ago
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In a new card game, you start with a well-shuffled full deck and draw 3 cards without replacement. If you draw 3 hearts, you win
lyudmila [28]

Answer:

Expected pay winning $50= $0.585

Expected pay winning $25= $2.36

Expected pay for anything else= $-4.35

Expected returns=3.59

Expected value for one play= $(-1.41)

Do not play this game because you will lose $1.41

Step-by-step explanation:

Probability P(3 hearts) = (13/52)×(12/51)×(11/50) = 0.013

Probability P(3black)= (26/52)×(24/51)×(23/50) = 0.118

Probability P(drawing anything else)= 1 - 0.013 - 0.118= 0.869

Expected pay($50)= 0.013$(50-5)= $ 0.585

Expected pay($25)= 0.118(25-5)$ = $2.36

Expected pay for anything else= 0.869(0-5)$ =$(-4.347)

Expected value of one play=$ (0.585 + 2.353 -4.347) = -$1.41

c) Do not play the game.

6 0
2 years ago
In a group of 100 students, 25 own a laptop, 40 own a mobile phone, and 35 own either a
Talja [164]

Answer:

My best answer is that the probability is 35/100 that the student chosen at random owns neither a laptop nor a mobile phone.

Step-by-step explanation:

If you go back and read the introductory passage, you will notice it says, "In a group of 100 students... 35 own either a laptop or a mobile phone, but not both." And I think the other numbers, I.E. 25 and 40, were just meant to throw us off. Therefore, I think 35/100 is the probability.

8 0
2 years ago
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