One cellular phone carrier charges 26.50 a month plus .15cents a minute. Another carrier charges 14.50 a month plus .25 cents a minute. For how many minutes is the cost of the plans the same? Please show work thanks

Answers

Answer 1

Answer: i'm going to use m for minutes
Cell carrier 1
0.15 per minute (0.15m)
$26.50 first, and then add on for every minute

cost carrier 1 = 0.15m + 26.50

carrier 2
0.25 per minute (0.25m)
$14.50 first, and then add on for every minute.

cost carrier 2 = 0.25m + 14.50

to find out when they cost the same, make the two costs equal to each other:

0.15m + 26.50 = 0.25m + 14.50

all that's left is to solve for m

0.15m + 26.50 = 0.25m + 14.50
subtract both sides by 0.15 m
26.50 = 0.2m + 14.50
subtract both sides by 14.50
12 = 0.1 m
divide both sides by 0.1
m = 120

the phone carriers will have the same cost at 120 minutes

Answer 2

Answer: Define the rates of each carrier:

(1) $26.50 + $0.15m
(2) $14.50 + $0.25m

Set the two equations equal to each other and solve for m minutes . . .

26.50 + 0.15m = 14.50 + 0.25m

26.50 - 14.50 = 0.25m - 0.15m

12.00 = (0.25 - 0.15)m

12 = 0.10m

m = 12/0.10 = 120

m = 120 minutes

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Find the value of x for the following angles
(6x + 4)degrees and
(4x + 6)degrees

Answers

(6x + 4) = (4x + 6)
-4 -4
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Define perpendicular bisector as much as you can plus give example about them

Answers

A perpendicular bisector of a line segment is a line segment perpendicular to and passing through the midpoint of (the figure below). The perpendicular bisector of a line segment can be constructed using a compass by drawing circles centered at and with radius and connecting their two intersections.

Can you name the values of the given digits in the 3s in 330, how many times greater the first digit is than the second digit

Answers

1st 3 is in the hundreds place
2nd 3 is in the tenths place
the first 3 is 33 times greater

Final answer:

In the number 330, the first 3 is 10 times greater than the second 3. This is because the first 3 is in the hundreds place, making it 300 and the second 3 is in the tens place, making it 30.

Explanation:

In the number 330, the two 3's have different values. The first 3, situated in the hundreds place, has a value of 300. The second 3, situated at the tens place, has a value of 30.

To find out how many times greater the first digit is than the second digit, you divide the value of the first digit by the value of the second digit.

300 ÷ 30 = 10

So, the first digit is 10 times greater than the second digit.

Learn more about place value here:

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Lamar and Avalyn are raking leaves around a tree in their backyard. The tree has a diameter of 2 feet and is surrounded by a circle of leaves that is 24 feet in diameter. What is the area in square feet of the ground covered by leaves? Use 3.14 for π.(a) 377.94 ft² (c) 452.16 ft²
(b) 449.02 ft² (d) 530.66 ft²

please help!!!!!

Answers

Answer is (b). 449.02 sqr ft. Total area including tree and leaves will be: π r^2 = 3.14 * (12)^2 = 3.14*144 = 452.16 sqr ft Area of tree: π r^2 = 3.14 * (1)^2 = 3.14*1 = 3.14 sqr ft. So, the area covered by leaves will be: 452.16-3.14 = 449.02 sqr ft

At the beach cleanup, Maya's group collected 14.8 pounds of trash on Saturday and 12.5 pounds on Sunday. Will's group collected the same total amount of trash as Maya's group but collected only 11.8 pounds on Saturday. HELP PEALSE!!!!!

How much trash did Will's group collect on Sunday?

A.
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B.
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C.
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D.
27.3 pounds