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3 years ago

A phone company uses the equation y = 0.15x + 10 to find y, the monthly charge for a customer sending x text

Mathematics

1 answer:

olasank [31]3 years ago

8 0

Hey!

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Solution:

77.50 = 0.15x + 10

77.50 - 10 + 0.15x + 10 - 10

67.50 = 0.15x

0.15x = 67.50

0.15x/0.15 = 67.50/0.015

x = 450

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Check:

77.50 = 0.15(450) + 10

77.50 = 67.50 + 10

77.50 = 77.50

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Answer:

450 text messages can be sent when the monthly charge is $77.50!

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Hope This Helped! Good Luck!

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Suppose Z Varies directly with x and inversely with y, where x = 16, y = 4, when z = 32...............

Greeley [361]

A.)
Z = kx/y where k is a constant.
32 = 16k/4
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z = 8x/y

b.)
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c.)
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3 years ago

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There are 3 red pens, 4 blue pens, 2 Blac pens, and 5 green pens in drawer, suppose you choose a pen at random

Alenkasestr [34]

Answer:

1. 3/14

2. 2/7

3. 1/7

4. 5/14

5. 11/14

6. 9/14

Step-by-step explanation:

first get the total number of pens

3 red pens + 4 blue pens + 2 black pens + 5 green pens =

14 total number of pens

1. What is the probability that the pen chosen red?

3 red pens out of a total of 14 pens = 3/14

2. What is the probability that the pen chosen is blue?

4 blue pens out of a total of 14 pens = 4/14 -> simplified -> 2/7

3. What is the probability that the pen chosen is black?

2 black pens out of a total of 14 pens = 2/14 -> simplified -> 1/7

4. What is the probability that the pen chosen is green?

5 green pens out of a total of 14 pens = 5/14

5. What is the probability that the pen chosen is NOT red?

of the 3 red pens, 4 blue pens, 2 black pens and 5 green pens

4 blue pens, 2 black pens and 5 green pens are NOT red

4 blue pens + 2 black pens + 5 green pens =

11 total number of pens that are NOT red

11 total number of pens that are NOT red out of a total of 14 pens = 11/14

6. What is the probability that the pen chosen is NOT green?

of the 3 red pens, 4 blue pens, 2 black pens and 5 green pens

the 3 red pens, 4 blue pens, 2 black pens are NOT green

3 red pens + 4 blue pens + 2 black pens =

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9 total number of pens that are NOT green out of a total of 14 pens = 9/14

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2 years ago

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Karo-lina-s [1.5K]

Answer: Option D

$y +2x = 3$

Step-by-step explanation:

The equation of a line in the form of "slope-interception" has the following form:

$y = mx + b$

Where m is the slope of the line and b is the interception of the line with the y axis.

In this case we know that the line has a slope of -2. Then $m = -2$ .

We also know that the line intercepts the axis y at the point (0, 3) therefore we know that:

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Finally the equation of the line will be:

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If we add 2x on both sides of the equation we get:

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Marizza181 [45]

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Answer:

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I hope that helps! :)

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