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Lubov Fominskaja [6]
3 years ago
9

The telephone company offers two billing plans for local calls. Plan 1 charges $34 per month for unlimited calls and Plan 2 char

ges 514 per month plus $0.05 per
a. Use an inequality to find the number of monthly calls for which Plan 1 is more economical than Plan 2
b. Explain the meaning of the answer to part a.
a. Let x represent the number of monthly calls. The answer is
(Type an inequality.)
Mathematics
1 answer:
lawyer [7]3 years ago
6 0

Answer:

more than 200 calls

Suppose number of calls = x

According to plan 1: Total monthly charge is $24

According to plan 2: Fix charge is $16 and $0.04 per call

cost of x's call = $0.04x

and monthly charge according to plan 2 = 0.04x + 16

a)  Plan 1 is more economical than plan 2.

0.04x + 16 > 24

solve it for x

.04x > 8

x > 200

b)   So,  if more than 200 calls are made then Plan 1 is more economical.

Step-by-step explanation:

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Expand and simplify (y-3)³​
Tanya [424]

Answer:

Expanded: (y-3)(y-3)(y-3)

Simplified:  y^{3}-9y^{2}+27y-27

Step-by-step explanation:

Expanded: (y-3)(y-3)(y-3)

Simplified:

y^{2} -3y-3y+9(y-3)\\y^{2} -6y+9(y-3)

y^{3} -3y^{2}-6y^{2}  +18y+9y-27

y^{3}-9y^{2} +27y-27

5 0
3 years ago
How to solve -13=5(1 4m)-2m?
Paladinen [302]
First, you would multiply: -13 = 70m - 2m. Then, you subtract the like terms, which would be 70m - 2m: -13 = 68m. You are looking for what m is, so you would divide 68 on both sides: m = - 13 / 68. In math, people would usually like fractions more than decimals, but if you are looking for the decimal number, it would be m ≈ - 0.19.
6 0
3 years ago
The baseball coach is 70 inches tall. How tall is the child?
tankabanditka [31]

The child is <u>59.4 inches tall</u>, assuming the length from the coach's shoulder to his head cap is approximately 10 inches.

<h3>What is Heigth?</h3>

Height refers to the vertical distance between the top and bottom of something.

Height measures the length of some objects or persons vertically to determine whether it is high or low, according to some ascertained criteria.

<h3>Data and Calculations:</h3>

Baseball coach's height = 70 inches

Coach's shoulder to head = 10.6 inches

Height of the child standing slightly below the coach's shoulder = 59.4 inches (70 - 10.6)

Thus, the child standing slightly below the coach's shoulder is 59.4 inches tall.

Learn more about height measurements at brainly.com/question/73194

#SPJ1

<h3>Question Completion:</h3>

Assume that the height of the coach from his shoulder to the head is 10.6 inches.

6 0
1 year ago
Marks's dad drove 123 miles in 2 hours. At that rate, how many miles would he drive in 5 hours?
mihalych1998 [28]

Answer:

307.5

Step-by-step explanation:

He drove 123 miles in 2 hours. If you go 100 miles in 2 hours that means you went 50 miles in one hour right? Using the same logic we can convert 123 miles in 2 hours to 61.5 miles per hour and then multiply it by 5.

4 0
2 years ago
Tom Thomas took tennis lessons. He traveled 12 miles one way at an average cost of $0.42 per mile. His racket cost $94, balls co
Furkat [3]
Racket : 94
balls : 12.50
warm ups : 34
shorts : 19.95
shoes : 44.50
total with tax : 204.95 + .05(204.95) = 204.95 + 10.25 = 215.20

20 per lesson for 12 lessons : 20 * 12 = 240
12 miles 1 way....thats 24 miles round trip, at 0.42 per mile : 24(0.42) = 
10.08.....lessons and mileage : 240 + 10.08 = 250.08

for a total of : 215.20 + 250.08 = 465.28 <==
4 0
3 years ago
Read 2 more answers
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