A cell phone plan charges $39.95 a month plus 15 cents per text message sent and 15 cents per message received. Using s to represent the number of text messages sent in one month and r to represent the number of text messages received in one month, the following equation can be used to calculate the total monthly cost, c.
C=39.95+.15(s+r)
If it is known that the total monthly cost is $53.45 and 63 text messages were received, solve for s, the total number of text messages sent.

Answer:

y = 10/3x + 20

Step-by-step explanation:

First, we need to find the slope of the function. We can do that by using two points and inserting them into the slope formula. It can be any two but I'll just pick (3, 30) and (6, 40).

m = y₁ - y₂ / x₁ - x₂

m = 30 - 40 / 3 - 6

m = -10/-3

m = 10/3

Now we know the slope is 10/3.

In slope-intercept form, the y-intercept is the constant at the end of the equation. The table of values tells us that the y-intercept is located at (0, 20). So the equation of the linear function is y = 10/3x + 20.

The expression after evaluating results in the number 114.

BODMAS rule is the rule used when solving expressions involving more than one operations.

It is the abbreviation of Brackets, Order, Division, Multiplication, Addition, Subtraction, which is the order of the operations to be done.

The expression given is,

2 + 23 × 5 - 3

We have to evaluate the expression in the order of BODMAS.

There are no brackets and orders and division.

Start with the multiplication.

2 + 23 × 5 - 3 = 2 + 115 - 3

Next do the addition.

2 + 115 - 3 = 117 - 3

                  = 114

Hence the value of the expression given is 114.

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Answer:

[tex]slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } \\ = \frac{( - 9 - ( - 5))}{(6 - ( - 5))} \\ = \frac{ - 4}{11} \\ slope = - \frac{4}{11} [/tex]

Answer:

x=17

Step-by-step explanation:Get everything to one side by using addition and subtraction and combine like terms. Once you have that set it equal to zero and put the b in Mx+b on the other side then divide it by m and you’ll have x

Answer:

if i understood right..

Step-by-step explanation:

... 2-6+3= 1

4×5= 20

1×20=20

the answer is 20.

I'm sorry if i understood the wrong thing.

Answer: 7/3

Step-by-step explanation:

Divide both by 3

21/ 3 = 7

9 / 3 = 3

You get 7/3. Hope that helps!

Answer:

9/2

Step-by-step explanation:

9*2/4 = 9*1/2 = 9/2

Answer:

9/2

Step-by-step explanation:

Answer:

0.44 (44%) of the students are boys.

Step-by-step explanation:

Hope this helps!

✧◝(⁰▿⁰)◜✧

Answer: The range is 94.

Hope this helps

Answer:

a. A dilation factor of 2

Step-by-step explanation:

S'R'/SR = 2/1 = 2

Answer:

a

Step-by-step explanation:

Determine what is closer to 2 4/11.

you would- 4/11 to get 2

you would +6/11 to get 3.

So 2 is closer

Do the same with 16 1/5

16 is closer

therefore, it is 2*16=32

Step-by-step explanation:

Answer:

perimeter= 4+4+3

11

Step-by-step explanation:

....

Answer:

Step-by-step explanation:

A, -12

if she had an x amount on her card,

after the buys the songs, she will have x-12 left

Answer:

Answer:

First, we will substitute x for cm, and then graph the equation to find the solution

Step-by-step explanation:

Therefore, the answer is (7,0)

Answer: 77/3 or 25.67

Step-by-step explanation:

3 1/2 * 11/3

3 * 2+1=7

7/3 * 11/3

7 * 11= 77

3 stays the same

77/3 or 25.67

Answer:

4 2/3

Step-by-step explanation:

You need to turn the fractions into improper fractions

To do that you multiply the whole number by the denominator and add the numerator, doing that will give you your new numerator, but the denominator stays the same

3 1/2. 3×2 = 6. 6+1=7 3 1/2 = 7/2

1 1/3. 1×3 = 3. 3+1 = 4. 1 1/3 = 4/3

Then multiply both numerator by each other and do the same for the denominators

7×4 = 28

2×3 = 6

28/6

Then simply it

28/6 = 4 2/3

Answer: all i can do hope this helps a bit 2. 130 degrees

5. 13 units

Answer:

Segment DO

Step-by-step explanation:

The first option is not the radius because A is going outside of the circle and it would actually be longer than the radius.

BC is too high up, and it's considered a chord, not the radius.

DE is the diameter, not the radius.

That leaves us with 1 answer remaining.

Answer: 3,285 Liters

Step-by-step explanation:

In the actual case, all your flushes consume 6 L of water.

You flush 4 times per day, then you consume 4 times 6 L per day, this is:

4*6L = 24 L per day.

And in one year there are 365 days, then in one year you consume:

365*24 L = 8,760 L

Now, if you upgrade the toilet, now per day you use:

one time 6 L and 3 times 3 L

Then in day, you use:

1*6 L + 3*3 L = 6L + 9L = 15L

And in the complete year, you will use 365 times that, which is:

365*15 L = 5,475 L

The amount of water that you would save is equal to the difference between the amount that you use in one year with no upgrade (8,760 L) and the amount that you would use in a year if you upgraded your toilet ( 5,475 L)

The difference is:

D = 8,760 L - 5,475 L = 3,285 L

This means that, in this situation, you would save 3,285 liters of water per year if you upgrade your toilet.

Answer/Step-by-step explanation:

6. Given, (-5, 2) and (1, -2):

[tex] \frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_2} [/tex]

[tex] = \frac{-2 - 2}{1 - (-5)} [/tex]

[tex] = \frac{-4}{6} [/tex]

[tex] = \frac{-2}{3} [/tex]

9. Given, (4, 10) and (-2, -5):

[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_2} [/tex]

[tex] = \frac{-5 - 10}{-2 - 4} [/tex]

[tex] = \frac{-15}{-6} [/tex]

[tex] slope = \frac{5}{2} [/tex]

Answer:

Pencils=2

Step-by-step explanation:

Pencils-n

-0.70 - 0.70 = -3.5

0.70p + 0.30 = 2.7

-0.4n = -0.8

-0.4      -0.4

n=2

Answer:

The common difference d is d = -3

The recursive formula is: [tex]\mathbf{a_n=a_{n-1}-3}[/tex]

Step-by-step explanation:

We need to find the common difference and the recursive formula.

a. 22, 19, 16, 13, …

First we will find common difference

The formula of arithmetic sequence is: [tex]a_n=a_1+(n-1)d[/tex]

where a_n is nth term, a_1 is 1st term and d is the difference

Looking at the sequence we get: a_1=22, a_2=19

Using these values we can find d, the common difference

[tex]a_n=a_1+(n-1)d\\put\:n=2, a_2=19, a_1=22\\19=22+(2-1)d\\19=22+d\\d=19-22\\d=-3[/tex]

So, the common difference d is d = -3

Now, we will find the recursive formula:

The recursive formula is of type: [tex]a_n=a_{n-1}+d[/tex]

We have found common difference d = -3

So, the recursive formula will be:

[tex]a_n=a_{n-1}+d\\a_n=a_{n-1}+(-3)\\a_n=a_{n-1}-3[/tex]

The recursive formula is: [tex]\mathbf{a_n=a_{n-1}-3}[/tex]

Answer:

Unit Rate: 16/5 chapters per hour

Step-by-step explanation:

4/5 divided by 1/4 = 4:5, 4:1 = 4/5 x 4/1 = 16/5

Answer:

(3, 1)

Step-by-step explanation:

y = -4x² + 24x - 35

Find the vertex by using the formula:

In this problem, we have:

Using 24 for b and -4 for a, we can substitute these values into the vertex formula:

The h-value for the vertex is 3.

Now let's plug 3 back into the standard form equation to solve for the k-value of the vertex.

The k-value for the vertex is 1.

The vertex of the parabola is (3, 1).