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3 years ago

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You are deciding between two cell phone plans. Plan A: Unlimited text, talk, and data for $50 per month. Plan B: Unlimited text

and data and 100 minutes of talk for $40, plus $0.20 per minute of talk after 100 minutes. At how many minutes of talk are the plans equal?

1 answer:

Sergio039 [100]3 years ago

7 0

Sent a picture of the solution to the problem (s).

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Raj tried to solve the system below.

jekas [21]

Answer: Option C) Raj forgot the negative when substituting -15+9x for y.

Solution:

(1) 9x-y=15

(2) 2x+8y=28

Isolating y in the first equation. Subtracting 9x both sides of the equation:

(1) 9x-y-9x=15-9x

Subtracting:

(1) -y=15-9x

Multiplying both sides of the equation by -1:

(1) (-1)(-y)=(-1)(15-9x)

(1) y=-15+9x

Then Raj found the value of y. It's not option D.

Substitutng y by -15+9x in the second equation:

(2) 2x+8(-15+9x)=28

Then option C) is the answer: Raj forgot the negative when substituting -15+9x for y.

Eliminating the parentheses applying the distributive property in the multiplication:

(2) 2x-120+72x=28

Adding similar terms:

(2) 74x-120=28

Solving for x. Adding 120 both sides of the equation:

(2) 74x-120+120=28+120

Adding:

(2) 74x=148

Dividing both sides of the equation by 74:

(2) 74x/74=148/74

Dividing:

(2) x=2

Solving for y: Replacing x by 2 in the first equation:

(1) y=-15+9x

(1) y=-15+9(2)

Multiplying:

(1) y=-15+18

Subtracting:

(1) y=3

3 0

3 years ago

Read 2 more answers

Y=4 (0.5)* exponential function<br><br><br> y=2(5)* exponential function

Vlad1618 [11]

Yes you are correct that is the answer.

6 0

3 years ago

Is the length of the hypotenuse of a right triangle with legs that mea-

icang [17]

Answer:
Irrational Number

Step-by-step explanation:
So, since it's a right triangle, you can use Pythagorean Theorem to calculate the measure of the hypotenuse.

Pythagorean Theorem says the hypotenuse squared = the sum of the sides squared.

5² + 6² = 25 + 36 = 61

And the square root of 61 is 7.8102496.... and the decimal continues in no distinguishable pattern. Therefore, the length of the hypotenuse is an irrational number.

4 0

2 years ago

What is the value of t?

UNO [17]

Answer:

I have no idea look it up

Step-by-step explanation:

7 0

2 years ago

Three students were applying to the same graduate school. They came from schools with different grading systems. Student GPA Sch

stiv31 [10]

Answer:

Due to the higher Z-score, Kamala had the best GPA when compared to other students at her school.

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Whichever student's GPA had the higher z-score had the best GPA compared to other students.

Thuy 2.5 3.2 0.8

This means that $X = 2.5, \mu = 3.2, \sigma = 0.8$

The z-score is:

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

$Z = \frac{2.5 - 3.2}{0.8}$

$Z = -0.875$

Vichet 88 75 20

This means that $X = 88, \mu = 75, \sigma = 20$

The z-score is:

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

$Z = \frac{88 - 75}{20}$

$Z = 0.65$

Kamala 8.9 8 0.4

This means that $X = 8.9, \mu = 8, \sigma = 0.4$

The z-score is:

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

$Z = \frac{8.9 - 8}{0.4}$

$Z = 2.25$

Due to the higher Z-score, Kamala had the best GPA when compared to other students at her school.

7 0

3 years ago