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lina2011 [118]
3 years ago
12

Which inequality represents this situation? jessica is stacking items on a shelf. she has large books that weigh 5 pounds each a

nd medium books that weigh 3 pounds each. the shelf should hold at most 50 pounds. let x represent the number of large books. let y represent the number of medium books.
a. 5x 3y>50
b. 5x 3y<50
c. 5x 3y≥50
d. 5x 3y≤50

Mathematics
2 answers:
Nataly_w [17]3 years ago
8 0
5x+3y≤50.  Letter D. is the answer.
denis-greek [22]3 years ago
6 0

Let

x--------> the number of large books

y-------> the number of medium books

we know that

5x+3y \leq 50

using a graph tool

see the attached figure

the solution is the shaded area

therefore

<u>the answer is the option d</u>

5x+3y \leq 50

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A certain city's population is 120,000 and decreases 1.4% per year for 15 years.
mart [117]

Answer:

  • Decay Problem.
  • Decay rate,  r = 0.014
  • Initial Amount =120,000
  • P(t)=120000(0.986)^t
  • P(10)=104,220

Step-by-step explanation:

The exponential function for growth/decay is given as:

P(t)=P_0(1 \pm r)^t, where:\\P_0$ is the Initial Population\\r is the growth/decay rate\\t is time

In this problem:

The city's initial population is 120,000 and it decreases by 1.4% per year.

  • Since the population decreases, it is a Decay Problem.
  • Decay rate, r=1.4% =0.014
  • Initial Amount =120,000

Therefore, the function is:

P(t)=120000(1 - 0.014)^t\\P(t)=120000(0.986)^t

When t=10 years

P(10)=120000(0.986)^10\\=104219.8\\\approx 104220 $ (to the nearest whole number)

8 0
3 years ago
I will give brainliest to the first person who answers.
nasty-shy [4]

Answer:

the answer is \sqrt{5\\} , and - \sqrt{5\\} which is C.

Step-by-step explanation:

well I got that answer by doing this

we have x^{2}= 5

For x^{2}= f (a) the solutions are x = \sqrt{f(a)\\} , - \sqrt{f(a)\\}

so in this case the solutions are \sqrt{5\\}, and - \sqrt{5\\}

HOPE THIS HELPS :)

3 0
3 years ago
X/-3-41=-11 show work please
Brilliant_brown [7]

The correct answer is x = -90.

To find this, solve using the order of operations. See the example below.

x/-3 - 41 = -11 ----> Add 41 to both sides

x/-3 = 30 ----> Multiply each side by -3

x = -90

4 0
3 years ago
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