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geniusboy [140]
2 years ago
12

Please help me solve this question im having trouble!!!!!

Mathematics
3 answers:
Marizza181 [45]2 years ago
8 0

Answer:

To  \: express \:  this \:  as \:  an \:  equation, \:   \\ let \:  L \:  represents \:  \: length \: and \: w \:  = \: width\:   \\ The \: width \: of  rectangle \:  is \:  3 \: feet \:  less  \: than \: \\   5  \: times \:  its \:  length.  \: This  \: tells  \: us \:  that  \: 3  \: \\ will  \: be  \: subtracted  \: from  \: 5l.  \: So,\\ w \: = 5L \: - \: 3. \: \\ \\ Next  \: the \:  area   \:  is \:  14 \:  and \:  since  \: the  \: area  \: of  \: a  \: rectangle \:  is   \\ \: length \times  \: width,  \: it will  \: be  \: expressed  \: as \: \\ 14 \: = L \times w \: since \: w \:  = (5L - 3) \\ 14 = L \times (5L - 3) \\ 14 = 5L {}^{2}  - 3L \\ 5L {}^{2}  - 3L - 14 = 0 \\ factor \: the \: polynomial \\ (5L + 7)(L - 2) = 0 \\ L =  \frac{ - 7}{5}  \: or \: 2 \: but \:  the  \: measurement  \: cannot be  \:  \\ negative  \: so \:  we \:  will \:  consider \:  2  \: instead \:  \\ \\ L = 2 ft \ \\\\ to \: find \: width \:  \\  w \:  =  \: 5L - 3 \\ w \:  =  \: 5(2) - 3 \\ w \:  =  \: 10 - 3 \\ w =  > 7 \: feet

arsen [322]2 years ago
7 0

Answer:

7 feet

Step-by-step explanation:

Yuki888 [10]2 years ago
5 0

Answer:

7 feet

Step-by-step explanation:

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A candy store called "Sugar" built a giant hollow sugar cube out of wood to hang above the entrance to their store. It took 5454
Elina [12.6K]

Answer:

27 ft^3

Step-by-step explanation:

The total surface area of the cube is 54 ft^2.

A cube has 6 congruent square sides.

54 ft^2/5 = 9 ft^2

Each square side has area 9 ft^2.

The area of a square is the square of the side, so the side of a square is the square root of the area.

side = sqrt(9 ft)^2 = 3 ft

The volume of a cube is the cube of the side.

volume = (3 ft)^3

volume = 27 ft^3

4 0
3 years ago
A bag holds 12 red marbles, 11 green
Blizzard [7]

Answer:

62.22%

Step-by-step explanation:

First, find how many total marbles there are:

12 + 11 + 17 + 5

= 45

Then, find how many marbles that are not blue:

12 + 11 + 5

= 28

Then, divide 28 by 45, and multiply by 100

(28/45) x 100

= 62.22% is the probability of not choosing a blue marble

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3 years ago
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s344n2d4d5 [400]

The polynomial x3+8 is equal to (x+2)(x2-2x+4)


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3 years ago
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What is 6 1/2 times 77
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3 years ago
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(CO 4) In a sample of 8 high school students, they spent an average of 24.8 hours each week doing sports with a sample standard
AveGali [126]

Answer:  

(22.12, 27.48)

Step-by-step explanation:

Given : Significance level : \alpha: 1-0.95=0.05

Sample size : n= 8 , which is a small sample (n<30), so we use t-test.

Critical values using t-distribution: t_{n-1,\alpha/2}=t_{7,0.025}=2.365

Sample mean : \overline{x}=24.8\text{ hours}

Standard deviation : \sigma=3.2\text{ hours}

The confidence interval for population means is given by :-

\overline{x}\pm t_{n-1,\alpha/2}\dfrac{\sigma}{\sqrt{n}}

i.e. 24.8\pm(2.365)\dfrac{3.2}{\sqrt{8}}

24.8\pm2.67569206001\\\\\approx24.8\pm2.68\\\\=(24.8-2.68, 24.8+2.68)=(22.12, 27.48)

Hence, the 95% confidence interval, assuming the times are normally distributed.=  (22.12, 27.48)

6 0
3 years ago
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