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alexdok [17]
2 years ago
8

Consider the system of linear equations. 5x+10y=15 10x+3y=13 To use the linear combination method and addition to eliminate the

x-terms, by which number should the first equation be multiplied?
A- -2
B- -1/2
C- 1/2
D- 2
Mathematics
2 answers:
antiseptic1488 [7]2 years ago
6 0

Answer:

  A:  -2

Step-by-step explanation:

You want some factor k such that k(5x) +(10x) = 0. That is, 5k+10 = 0. The solution to this is k=-2, corresponding to selection A.

vesna_86 [32]2 years ago
4 0

k = -2 for sure

I normally multiply 5x+10y=15 by -2 to cancel out the x's.

This is because you can only solve the problem if one of your variables is canceled out and then you solve!

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1) Consider the sequence:
Ivan

Answer:

1) The 38th term is A. 38

2) The 11th term is D. 3072

3) The 3rd term is C. 34

Step-by-step explanation:

1) I added 2 until I got to the 38th term.

2) I multiplied until I got to the 11th term.

3) I added 3 until i got to the 12th term.

The teacher showed a more complex way to do it but this is just what I did.

I took the quiz, so I know that I got them all correct.

5 0
2 years ago
Read 2 more answers
Person A is breathing five times as fast as person B. Compare the graphs of the breathing of the two people over time.
hammer [34]

Answer:

A

Step-by-step explanation:

Focus on what the question is telling you, as it's given to you in the question. It's saying five times, which means "×5" the number of person B, so it'll always be 5 times quicker, since they're breathing more times in a certain period of time than person B.

Hopefully this helped!

8 0
2 years ago
The probability that an appliance is in repair is 0.8. if an apartment complex has 100 such appliances, what is the probability
AleksandrR [38]

Answer:

P(X\geq90) =0.00878

Step-by-step explanation:

This situation can be modeled by a binomial distribution of parameters:

p = 0.8\\\\q = 0.2\\\\n = 100

We want to find the probability that at least 90 are in repair.

<u><em>We can approximate this problem to a normal distribution, where:</em></u>

\mu = np

\mu = 80

\sigma = \sqrt{npq}\\\\\sigma = 4

Then we look for

P(X\geq90) = P(X>90 -0.5)\\\\P(X\geq90) = P(X>89.5)

Then we must find the normal standard statistic Z-score

Z = \frac{X-\mu}{\sigma}

Therefore:

P(X>89.5) = P(\frac{X-\mu}{\sigma}>\frac{89.5-80}{4})\\\\P(X>89.5) =P(Z>2.375)

Looking in the standard normal table we obtain:

P(Z>2.375) = 0.00878

8 0
2 years ago
Ramon is having some friends over after a baseball game. Ramon's job is to make vegetable dip. The ingredients for the recipe ar
diamong [38]

Answer:

Butter milk

Step-by-step explanation:

if you made the half a cup in to eights it would be 4/8 and the other is 5/8 it has a larger numerator.

5 0
2 years ago
Johana works in the crime lab at the New York City Police Department. A woman’s shoe was found at a crime scene. Johana measures
madam [21]

Answer:

(7, 64.33)

Step-by-step explanation:

For a woman suspect whose shoe size was found at the crime scene, the equation which can be used to predict the estimated height is given as:

y=1.19x+56,$ where:\\x = woman's shoe size\\ y= the estimated likely height of the woman in inches.

(a)Let x=7

Then:  y =1.19(7)+56=64.33

An ordered pair that is a solution to the function is (7, 64.33)

(b) The estimated height of a woman who is of shoe size 7 is 64,33 inches.

7 0
2 years ago
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