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katrin [286]
3 years ago
8

A telephone company offers two plans with per-minute charges. Plan A involves a monthly rental of $12, and call charges at 7¢ pe

r minute. Plan B involves a monthly rental of $15, and call charges at 5¢ per minute.
Write an inequality in terms of the number of minutes which shows when Plan A is less expensive than Plan B. Solve the inequality, showing the steps in your work.
Mathematics
1 answer:
REY [17]3 years ago
6 0
Plan A 12+.07(x) Plan B 15+.05(x). Substitute a number in for x such as 20 then plug in 12+.07(20) and 15+.05(20) and plan A would equal 13.4 a month and Plan B would equal 16 a month.
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The area of a bulletin board is 55 ft2. The length is nine feet less than four times the width. Find the length and the width, i
galben [10]

Answer:

The length and width are 11ft and 5ft respectively

Step-by-step explanation:

let the

length = L

Width = W

Area = LW = 55

The length is nine feet less than four times the width

L = 4W - 9

W (4W - 9) = 55

4W^2 - 9W -55 = 0

4W^2 - 20W + 11W - 55 = 0

4W(W - 5) + 11(W - 5) = 0

(W - 5)(4W + 11) = 0

W - 5 = 0 , 4W + 11=0

W = 5 or  - 11/4

since the width cannot be negative, W = 5

LW = 55

L = 55/5

L = 11

The length and width are 11ft and 5ft respectively.

7 0
3 years ago
How many blocks with dimensions of One-third times 1 times 1 can fit in a unit cube?
gtnhenbr [62]

Answer: 3

Step-by-step explanation:

Given

The dimension of the small block is

\dfrac{1}{3}\times 1\times 1

The Volume of the cube having unit length is

V=1\times 1\times 1\\V=1\ unit^3

The number of blocks that can be in the unit cube is the division of the volume of the unit cube and block.

\Rightarrow \dfrac{1\times 1\times 1}{\dfrac{1}{3}\times 1\times 1}\\\\\Rightarrow \dfrac{3}{1}=3

7 0
2 years ago
Read 2 more answers
Solving multi-step equations <br><br> 2(x + 7) – 34 = 4x – 11x + 4(x - 1)
Zarrin [17]

Answer:

x = 16/5

Step-by-step explanation:

2x + 14 -34 = 4x - 11x + 4x - 4

2x - 20 = -3x - 4

5x = 16

6 0
3 years ago
Read 2 more answers
Warm Up
katrin [286]

Given the slope m and a point (a,b) of a line, its equation is given by

y-b=m(x-a)

In your case, a = -4, b = 7 and m=1/2, so we have

y-7=\dfrac{1}{2}(x+4) \iff y=\dfrac{x}{2}+2+7\iff y=\dfrac{x}{2}+9

6 0
3 years ago
The volume of a prism is 48 cubic centimeters. If the length is 2 centimeters and the width is 4 centimeters. What is the height
Pie

Answer:

6

Step-by-step explanation:

volume is (lwh) since youre trying to find the height just multiply the 2 and 4 together to get 8. Then divide 8 by 48 to get your height.

4 0
2 years ago
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