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nikdorinn [45]
2 years ago
5

The cost of a monthly cell phone plan, in dollars, is modeled by the function c(x)=0.6x+30 where x is the number of text message

s.
a. $1.80 per text message

b. $0.60 per text message


c. $3.06 per text message


d. $6.00 per text message
Mathematics
1 answer:
Nonamiya [84]2 years ago
5 0
B is the answer hope this helps
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Leah is writing an equivalent equation which solves for y. What should be her next step? 3x+4y=8 Add 4y to both sides of the equ
ratelena [41]

The given equation is

3x+4y=8

And we have to solve for y.

Solving for y, means isolating y . And to isolate y, we need to get rid of 4 that is with y .

It means we have to separate 4 from y, and for separation , we have to perform division. That is, we have to divide both sides by 4, and that will be the next step .

So out of the four options, correct option is the last option .

4 0
2 years ago
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Suppose triangle ABC has vertices at A(1, 0), B(10, 0), and C(2, 6). After a 60° counterclockwise rotation about the origin, ver
Artemon [7]
Check the picture attached.

Let OB be the radius of circle with center O.

Let B' be the image of B after the described rotation

OB and OB' are sides of the equilateral triangle OBB'.

The x coordinate of B' is the midpoint of OB, that is 5.

In the right triangle B', point (5, 0) and B:

Distance point (5, 0) to B is 5
|B'B|=|OB|=10

so by the pythagorean theorem:

a= \sqrt{ 10^{2} - 5^{2} } = \sqrt{ 2^{2} *5^{2} - 5^{2} }= \sqrt{5^{2}(4-1)}=5 \sqrt{3} units



Answer: 5 \sqrt{3}

3 0
3 years ago
Today there are a total of six toll-free area codes: 800, 844, 855, 866, 877, and 888. Assume that all seven digits for the rest
Ludmilka [50]

Answer:

6 \times 10^{7}

Step-by-step explanation:

Total number of toll-free area codes = 6

A complete number will be of the form:

800-abc-defg

Where abcdefg can be any 7 numbers from 0 to 9. This holds true for all the 6 area codes.

Finding the possible toll free numbers for one area code and multiplying that by 6 will give use the total number of toll free numbers for all 6 area codes.

Considering: 800-abc-defg

The first number "a" can take any digit from 0 to 9. So there are 10 possibilities for this place. Similarly, the second number can take any digit from 0 to 9, so there are 10 possibilities for this place as well and same goes for all the 7 numbers.

Since, there are 10 possibilities for each of the 7 places, according to the fundamental principle of counting, the total possible toll free numbers for one area code would be:

Possible toll free numbers for 1 area code = 10 x 10 x 10 x 10 x 10 x 10 x 10 = 10^{7}

Since, there are 6 toll-free are codes in total, the total number of toll-free numbers for all 6 area codes = 6 \times 10^{7}

4 0
3 years ago
Sam can rent a canoe for $3 an hour. If he rents the canoe, he would also have to pay $15 for a non-refundable deposit. He has $
Nikitich [7]
So, We Need To Write An Equation. Lets Make Some Variables.
Max Amount He Can Spend: X
Max Amount Of Hours: H
Cost Per hour: P
Deposit : D
So, Lets Start.
We Can Write:
H = (X - D) / P
Now, Just Plug In The Known Values.
H = (30 - 15) / 3
That Is Our Equation.

Now, Just For Fun, I Will Solve It.
So, We Need To Simplify.
30 - 15 = 15.
So, We Have:
H = 15/3
So, We Know:
15/3 = 5.
So, We Can Substitute 5 for 15/3.
We Get:
H = 5
So, He Can Canoe For 5 Hours.  
8 0
2 years ago
Solve the following system of equations:<br> y = 4x - 6<br> 5x - 4y = -9
antoniya [11.8K]

Answer:

(X=Y)=(3,6)

Step-by-step explanation:

5x-4(4x-6)=-9

x=3

y=4x3-6

y=6

5 0
3 years ago
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