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zhuklara [117]
3 years ago
6

An Artist has 600 inches of framing material to form a rectangular frame. The dimensions of the wall on which it will hang limit

the frame's width to no more than 200 inches. The artist wants the length to be at least 2 times longer than the width. Write a system to represent this situation.
Mathematics
1 answer:
kondor19780726 [428]3 years ago
6 0

Answer:

  • 2(L +W) ≤ 600
  • W ≤ 200
  • L ≥ 2W

Step-by-step explanation:

We assume the problem wording means the length is to be at least 2 times <em>as long as</em> the width. (<em>Longer than</em> usually refers to a difference, not a scale factor.)

If we let "W" and "L" represent the width and length, respectively, then we can translate the problem statement to ...

  2(L + W) ≤ 600 . . . . . . the perimeter is twice the sum of length and width

  W ≤ 200 . . . . . . . . . . . . the width is at most 200 inches

  L ≥ 2W . . . . . . . . . . . . . the length is at least twice the width

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A community sports league is raising money by making custom shirts to sell at league games. They plan to sell the shirts for $14
11111nata11111 [884]

Answer:

A. (14 – 7)n – 55

Step-by-step explanation:

it cost $14 to make so $14 - $7 to make then you have to advertise it AFTER and it takes more money to advertise so, -55 so the answer would be:

(14 – 7)n – 55

5 0
3 years ago
What is the least and greatest amount of surface area possible on a rectangular prism with a volume of 64 cubic inches and whole
snow_tiger [21]

Answer:

The least amount of surface area is 96 inches^3 and the greatest amount of surface area is 258 inches^3

Step-by-step explanation:

Kindly check the attached for explanation

6 0
3 years ago
According to a report, 11 people got colds for every 2000 people.
lianna [129]

Answer:

Probability that one or more people in Arbalest got a cold is 0.9987.

Step-by-step explanation:

We are given that according to a report, 11 people got colds for every 2000 people.

There are 1200 people in the town of Arbalest.

The above situation can be represented through binomial distribution;

P(X =r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,......

where, n = number of trials (samples) taken = 1200 people

           r = number of success = one or more people got a cold

           p = probability of success which in our question is probability  

                 that people got colds, i.e; p = \frac{11}{2000} = 0.55%

Let X = <u><em>Number of people in Arbalest who got a cold</em></u>

So, X ~ Binom(n = 1200 , p = 0.0055)

Now, Probability that one or more people in Arbalest got a cold is given by = P(X \geq 1)

                     P(X \geq 1) =  1 - P(X = 0)  

                                  =  1- \binom{1200}{0} \times 0.0055^{0} \times (1-0.0055)^{1200-0}

                                  =  1- (1 \times 1 \times 0.9945^{1200})

                                  =  0.9987 or 99.87%

Hence, the required probability is 99.87%.

8 0
4 years ago
Solve: -2x + 3 = -9 *<br> 2.<br> 3<br> 6<br> 8
vodomira [7]
Answer-3

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3 0
3 years ago
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