A cell phone carrier offers two plans for text messaging. Plan A costs $20 per month plus s0.05 per text. Plan B costs $10 per month plus $0.10 per text. For how many text messages per month are the plans the same cost? O20
O 200
O 300​


Answer 1



Step-by-step explanation:

Answer 2


ITS C 200

Step-by-step explanation:

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Algebraic exspression of 15x +8
An angelfish was 1 1/2 inches long when it was bought. Now it is 2 1/3 inches long.a. How much has the angelfish grown? b. An inch is 1/12 of a foot. How much has the angelfish grown in feet? 40 points!
Can someone help me out with this
Approximate: log5 4/7-2.8760-0.34770.71241.3738



Answer: The first choice should be correct

Step-by-step explanation:

Well I hope this is correct

Option C or they are alternate interior angles is correct.

When two lines are crossed by another line (called the Transversal): Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal

When we expand (2x + 1/2)^6, what is the coefficient on the x^4 term?


Answer: The coefficient before x^4 is 60

Step-by-step explanation:

Hey! So I am not an expert at this, but you have to use the binomial theorem

I have attached of the Pascals Triangle (one shows the row numbering as well)

Basically in a pascal triangle, you add the two numbers above it to get the next number below

As you can see, the rows start from 0 instead of 1

The 6th row contains the numbers 1, 6, 15, 20, 15, 6, 1 which would be the coefficient terms

NOTE: the exponents always add to 6, the first term starts at 6 and decrease it's exponent by 1 each time (6, 5, 4, 3, 2, 1, 0) and the second term increases it's exponent by 1 each time (0, 1, 2, 3, 4, 5, 6)

Using this information the third term from the sixth row (15) would be where it is x^4 (I have circled it on the second image)

It would be 15 × 2^4 × (1/2)^2 = 60

The reason why it is 2^4 and (1/2)^2 is because the third term has the exponents 4 and 2 (bolded on the NOTE) which means that the first term must be put to the power of 4 and the second term must be put to the 2nd power

Sorry for the lousy explanation. I really hope this makes sense! Let me know if this helped :)

If the population of a particular country is growing at 1.5 % compounded​ continuously, how long will it take the population to triple?


Taking natural logs of both sides, we get
0.015t=ln 3
t = ln 3/0.015 = 73.24

The answer is 73.24 years.

Suppose that is in standard position and the given point is on the terminal side of 0. Give the exact value of the indicated trig function for 0. 15) (-5, 12); Find sin




Step-by-step explanation:

The length of the segment from the origin to the terminal point is ...

  r = √((-5)² +12²) = √169 = 13

The sine of the angle is the ratio of the y-coordinate to this distance

  sin(θ) = y/r = 12/13


Additional comment

The other trig functions are ...

  cos(θ) = x/r = -5/13

  tan(θ) = y/x = -12/5

This is a 2nd-quadrant angle, where the sine is positive, but the cosine and tangent are negative.

I need help urgently!!José writes this problem:

675 divided by 1600

Which expressions can be used to represent this problem?

Select each correct answer.

A) 675 ÷ 1600

B) 1600 ÷ 675

​ C) 1600675 ​

​ D) 6751600 ​

​ E) 1600675 ​

​ F) 6751600



The answer is A) 675 ÷ 1600.

Step-by-step explanation:

The answer is A) 675 ÷ 1600. 675 divided by 1600 means that the 675 will be split into 1600 parts. It's like you have 50 apples and you want to split it into two, can also be said or written as 50 DIVIDED BY 2.

In addition, If the statement says that 675 divides 1600 it means that the 1600 will be split into 675 part.

Solve for r.




r = 5

Step-by-step explanation:

I hope this helps djndjdnnznz