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vodka [1.7K]
3 years ago
9

Alex has saved $720, and every month he saves an additional $80. Jax has saved $480, and every month he saves an additional $120

. Write, and then solve, the inequality to determine how many months it will take for Jax to have saved over $160 more than Alex.
Mathematics
1 answer:
andrew-mc [135]3 years ago
8 0

9514 1404 393

Answer:

  more than 10 months

Step-by-step explanation:

Alex's balance starts at 720 and increases by 80 each month. It can be represented by ...

  A = 720 +80m

Jax's balance starts at 480 and increases by 120 each month. It can be represented by ...

  J = 480 +120m

Jax's balance will be more than 160 more than Alex's when ...

  J -A > 160

  (480 +120m) -(720 +80m) > 160

  40m -240 > 160 . . . . . . . . . . . . . collect terms

  m -6 > 4 . . . . . . . . . . . . . . . divide by 40

  m > 10 . . . . . . . . . . . . add 6

It will take more than 10 months for Jax to have saved over $160 more than Alex.

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marin [14]

Answer:

b. 0.216

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they have a job, or they do not. The probability of a student having a job is independent of other students. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

60% of the students at a large university have a job

This means that p = 0.6

If three of these students are randomly selected what is the probability all three have jobs?

This is P(X = 3) when n = 3. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{3,3}.(0.6)^{3}.(0.4)^{0} = 0.216

So the correct answer is:

b. 0.216

4 0
3 years ago
A rectangle is 5 feet wide and 10 feet long what is the perimeter
lara31 [8.8K]
The perimeter would be 30 feet.
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7 0
3 years ago
What is the answer to this -3m=-9+-2m
ikadub [295]
1. <span>Simplify -9 + -2m to -9 - 2m

-3m = -9 - 2m

2. </span><span>Add </span>2m <span>to both sides

-3m + 2m = -9

3. </span><span>Simplify -3m + 2m to -m

-m = -9

4. </span><span>Multiply both sides by </span><span><span>−<span>1

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Done! :) our answer is m = 9</span></span></span>
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Which value of X makes the quotient of (5x^5+90x^2-135x)/(x+3) undefined
faust18 [17]

Answer:

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Step-by-step explanation:

If x = -3 , then

x + 3 = -3 + 3 = 0

So, denominator would become 0. So , anything divided by 0 is undefined

3 0
3 years ago
2. Evaluate the expression e + c for e = 9 and c = 5.<br> a. 14<br> c. 15<br> b. 45<br> d. 4
slega [8]

Answer: A. 14

Step-by-step explanation:

If e=9 and c=5 you would replace e+c with those

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6 0
3 years ago
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