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quester [9]
3 years ago
11

A box shaped like a rectangular prism has a height of 17 in and a volume of 2.720 in^3. The length is 4 inches greater than twic

e the width. What is the width of the box?
O -10 in
O 8 in
O 20 in
O 40 in
Mathematics
1 answer:
Anvisha [2.4K]3 years ago
8 0

Answer:

8

Step-by-step explanation:

Height, h = 17

Let :

Width = x

Length = 2x + 4

Volume = 2720 in³

Volume of rectangular prism = Length * width * height

2720 = 17 * x * (2x + 4)

2720 = 34x² + 68x

34x² + 68x - 2720 = 0

x² + 2x - 80 = 0

x² + 10x - 8x - 80 = 0

x(x + 10) - 8(x + 10)

(x + 10) = 0 or (x - 8) = 0

X = - 10 or x = 8

Width can't be negative

Hence, width, x = 8

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Hey i need help with number 8 and 9 thanks!
snow_lady [41]

Answer:

8     9.8 - 6.4n

9      15 - j/2

Step-by-step explanation:

8

2.8 - 4.4n - 2n +7

= 2.8+7 -4.4n -2n

= 9.8 - 6.4n

9

11 + (-3) - 1/8 j - 3/8 j +7

= 11 - 3 - 1/8 j - 3/8 j + 7

= 11 - 3 + 7 - 1/8 j - 3/8 j

= 15 - 4/8 j

= 15 - j/2

5 0
3 years ago
Rosters Chicken advertises​ "lite" chicken with​ 30% fewer calories than standard chicken. When the process for​ "lite" chicken
ella [17]

Correct question is;

Rosters Chicken advertises "lite" chicken with 30% fewer calories than standard chicken. When the process for "lite" chicken breast production is in control, the average chicken breast contains 450 calories, and the standard deviation in caloric content of the chicken breast population is 20 calories. Rosters wants to design an X-chart to monitor the caloric content of chicken breasts, where 25 chicken breasts would be chosen at random to form each sample. a) What are the lower and upper control limits for this chart if these limits are chosen to be four standard deviations from the target? b) What are the limits with three standard deviations from the target? Upper Control Limit (UCL)calories (enter your response as an integer).

Answer:

A)UCL = 466

LCL = 434

B)UCL = 462

LCL = 438

Step-by-step explanation:

We are given;

Mean;μ = 450

Standard deviation; σ = 20

Sample size; n = 25

A) We are told that these limits are chosen to be four standard deviations from the target.. This means that z-value = 4.

Thus, upper control limit will be the formula;

UCL = μ + 4σ/√n

UCL = 450 + 4(20)/√25

UCL = 450 + 16

UCL = 466

Lower control limit will be;

LCL = μ - 4σ/√n

LCL = 450 - 4(20)/√25

LCL = 450 - 16

LCL = 434

B) We are now told that these limits are chosen to be three standard deviations from the target.

Thus, z = 3

So;

UCL = μ + 3σ/√n

UCL = 450 + 3(20)/√25

UCL = 450 + 12

UCL = 462

Lower control limit will be;

LCL = μ - 3σ/√n

LCL = 450 - 3(20)/√25

LCL = 450 - 12

LCL = 438

8 0
4 years ago
What is the y-intercept of the function f(x)=4 – 5x?<br> O-5<br> O 4<br> 0 4<br> O 5
xz_007 [3.2K]

Answer:

y-intercept is 4

(0,4)

7 0
3 years ago
McDonald has 69 water troughs for animals to drink from. Horses drank from horse troughs exactly 2 for each trough. Cows drank f
Svet_ta [14]

Answer:

216 animals

Step-by-step explanation:

Let n represent the number of each type of animal.

Since there are two horses for every horse trough, then n must be divisible by 2. Since there are three cows for every cow trough, then n must be divisible by 3. Since there are eight pigs for every pig trough, then n must be divisible by 8. Therefore, n must be divisible by 2, 3 and 8. The smallest number divisible by 2, 3, and 8 is 24. (This number is called the lowest common multiple or LCM, for short.)

If there are 24 of each kind of animal, there would be 24 ÷ 2 = 12 troughs for horses, 24 ÷ 3 = 8 troughs for cows and 24 ÷ 8 = 3 troughs for pigs. This would require a total of 12 + 8 + 3 = 23 troughs. Since there are 69 troughs and

69 ÷ 23 = 3, we require 3 times more of each type of animal. That is, there would be 24 × 3 = 72 of each type of animal. The total number of animals is 72+72+72 or 216.

Therefore, McDonald has 216 animals.

Hope this helps :)

8 0
3 years ago
Please I need it right now .<br>Thanks​
IrinaK [193]
Not sure what the question is here is it an a/b question or do we have to do an answer for both a and b?
4 0
3 years ago
Read 2 more answers
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