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erastovalidia [21]
3 years ago
6

Paul is comparing the cost of cell phone services. At CellCoA, the phone he wants costs $305 and the unlimited calling plan cost

s $45 per
month. At CellCoB, Paul can purchase the same phone for $350 and get an unlimited calling plan for $30 per month. In how many months
will both plans cost the same?
These equations, which are graphed below, represent the situation.
y = 45x + 305
y= 30x + 350
Here, x represents the
number of months and y represents the amount paid.
80
70
60
10)

Mathematics
1 answer:
Fudgin [204]3 years ago
7 0

Answer:

440

Step-by-step explanation:

305+ (45*3)= 440

350+ (30*3)= 440

You might be interested in
The measure of angle A is 62 degrees . Find the measures of the complement and supplement of angle A
Keith_Richards [23]

Answer:

Complement: 118°. Supplement: 28°

Step-by-step explanation:

To determine the supplement, subtract the given angle from 180.

180 - 62 = 118

To determine the complement, subtract the given angle from 90.

90 - 62 = 28

6 0
3 years ago
Lizzy is working two jobs to make money for a new car. She works 15 hours a week and earns 93$. She makes 5$ for each hour she b
kirill115 [55]

She worked 9 hours at baby-sitting and 6 hours at her parents store.

Step-by-step explanation:

Let,

Baby-sitting hours = x

Hours at parents store = y

Total hours = 15

Amount earned = $93

According to given statement;

x+y=15   Eqn 1

5x+8y=93   Eqn 2

Multiplying Eqn 1 by 5;

5(x+y=15)\\5x+5y=75\ \ \ Eqn 3\\

Subtracting Eqn 3 from Eqn 2;

(5x+8y)-(5x+5y)=93-75\\5x+8y-5x-5y=18\\3y=18

Dividing both sides by 3;

\frac{3y}{3}=\frac{18}{3}\\y=6

Putting y=6 in Eqn 1

x+6=15\\x=15-6\\x=9

She worked 9 hours at baby-sitting and 6 hours at her parents store.

Keywords: linear equations, subtraction

Learn more about linear equations at:

  • brainly.com/question/10699220
  • brainly.com/question/10703930

#LearnwithBrainly

6 0
3 years ago
n an orchard, there are 13 apple trees, 21 orange trees, and a cherry tree. What is the ratio of orange trees to cherry trees?
Yuri [45]

Answer:

21 : 1

Step-by-step explanation:

4 0
3 years ago
The Arizona Department of Transportation wishes to survey state residents to determine what proportion of the population would l
skad [1K]

Answer:

They need to survey 4145 residents.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is given by:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

99% confidence level

So \alpha = 0.01, z is the value of Z that has a p-value of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

At least how many residents do they need to survey if they want to be at least 99% confident that the sample proportion is within 0.02 of the true proportion?

This is n for which M = 0.02. As we have no estimate for the proportion, we use \pi = 0.5. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.02 = 2.575\sqrt{\frac{0.5*0.5}{n}}

0.02\sqrt{n} = 2.575*0.5

\sqrt{n} = \frac{2.575*0.5}{0.02}

(\sqrt{n})^2 = (\frac{2.575*0.5}{0.02})^2

n = 4144.1

Rounding up:

They need to survey 4145 residents.

4 0
3 years ago
From the set {1, 2, 3, 4, 5,} witch value makes the inequality n + 1 > 4 true
AleksAgata [21]

Answer:

4 and 5 can make this true.

8 0
3 years ago
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