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Viktor [21]
3 years ago
12

Each month your cell phone company charges you $ 50 for your plan plus 3 cents for each text you send. You have $ 140 budgeted f

or cell phone expenses for the month. Construct an inequality to make a determination about the number of texts you can send each month. Note that you cannot send a fraction of a text. You must send _____________ _____________ texts this month in order to stay within
Mathematics
1 answer:
pshichka [43]3 years ago
7 0

Answer:

3000 text messages can be sent without breaking the budget.

Step-by-step explanation:

Since each month your cell phone company charges $ 50 for your plan plus 3 cents for each text you send, and you have $ 140 budgeted for cell phone expenses for the month, to make a determination about the number of texts you can send each month the following calculation must be performed:

(140 - 50) / 0.03 = X

90 / 0.03 = X

3000 = X

Therefore, 3000 text messages can be sent without breaking the budget.

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3 years ago
The O! Natural Company sells a juice 1-gallon Bottles. The current retail price of the juice is $3.50 for 1 gallon. In order to
vodomira [7]
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3 years ago
The diameter of a truck tire is 22inches Approximately how fat will the truck have traveled after 5 rotations of these tires
kvasek [131]

Answer:

The truck have travelled 345.5 inches after 5 rotations of the tires

Step-by-step explanation:

Given:

Diameter of the tyre= 22 inches

Number of rotations= 5

To find:

Distance travelled after 5 rotations=?

Solution:

We have given with diameter,

So let radius be r

r= \frac{diameter}{2}

r=\frac{22}{2}

r=11 inches

The distance covered by one rotation is given by circumference

Circumference =2\pi r

Substituting the values, we get

Circumference =2\times\pi\times r

Circumference =2\times\pi\times 11

Circumference =2\times\3.14\times 11

Circumference =6.28\times 11

Circumference = 69.11

Now for 5 rotation,

Distance travelled = 5\times(\text{circumference value})

Distance travelled = 5\times(69.11)

Distance travelled = 5\times(69.11)

The truck will travel 345.5 inches.

6 0
3 years ago
Evaluate the expression 15x + 4 for x = -1 1/2​
olga_2 [115]

Answer:

18.5

Step-by-step explanation:

First we plug in the number

-1 1/2 is the same as -1.5

Plugging this in we will have:

15(-1.5) + 4 =

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5 0
3 years ago
Figure ABCDE has vertices a(-3, 3), b(2, 3), c(5, -2), d(0, -3), and e(-3, -2). Plot the points on your own coordinates grid and
Ilya [14]
<h2>Answer:</h2>

Shown below

<h2>Step-by-step explanation:</h2>

First of all, we have the following points:

a(-3, 3) \\ \\ b(2, 3) \\ \\ c(5, -2) \\ \\ d(0, -3) \\ \\ e(-3, -2)

To plot these points, we need to graph a coordinate grid. Recall that a coordinate grid is composed of two perpendicular lines, that we call the axes and are labeled like number lines. The horizontal axis is called the x-axis while the vertical axis is called the y-axis, and these two axes intersect at a point called the origin. Next, let's plot each point as follows:

<h2>PART 1. Plot the points on your own coordinates grid and connect in alphabetical order. </h2><h2></h2>

Point a:

Let's stand at the origin and then move three units to the left and three units up. The resulting point is shown in the firs figure below.

Point b:

Let's stand at the origin and then move two units to the right and three units up. The resulting point is shown in the firs figure below.

Point c:

Let's stand at the origin and then move five units to the right and two units down. The resulting point is shown in the firs figure below.

Point d:

Let's stand at the origin and then move three units to down. The resulting point is shown in the firs figure below.

Point e:

Let's stand at the origin and then move three units to the left and two units down. The resulting point is shown in the firs figure below.

Next, let's connect connect the points in alphabetical order, so that the line are connected from a to b, from b to c, from c to d, from d to e and from e to a again. So the resulting graph is shown in the second figure. As you can see, this is an irregular pentagon.

<h2>PART 2. Decompose figure ABCDE into rectangles and triangles.</h2>

Every pentagon can be divided up into three triangles. Hence, from the third figure. the triangles are:

ΔABE

ΔBDE

ΔBCD

Since a rectangle is a quadrilateral whose angles are all right angles, then there is no chance to obtain a rectangle from ABCDE. To obtain a rectangle, we'd need other points and this is not what the problem asks.

5 0
3 years ago
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