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mafiozo [28]
2 years ago
6

For his mobile phone service, John pays a monthly fee of $40 plus $15 for each 1 GB of data (rounded up) over his 8 GB of data t

hat comes with his plan. For his monthly charge before taxes to be at most $70, how many gigabytes of data can he use in a month
Mathematics
1 answer:
kolbaska11 [484]2 years ago
3 0

Answer:

John can use no more than 2 GB of additional data

Step-by-step explanation:

Monthly fee = $40

Additional fee = $15 for each 1 GB of data (rounded up) over his 8 GB.

Let x be the number of additional data in GB over his 8 GB of data that comes with his plan.

Total monthly charge is

C(x)=40+15x

It is given that monthly charge before taxes to be at most $70.

C(x)\leq 70

40+15x\leq 70

15x\leq 70-40

15x\leq 30

Divide both sides by 2.

x\leq 2

Therefore, John can use no more than 2 GB of additional data.

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The number of pieces of popcorn in a large movie theatre popcorn bucket is normally distributed, with a mean of 1515 and a stand
Murrr4er [49]

Answer: 99.7%, Im pretty confident about that. Im taking the test right now.

Step-by-step explanation:

3 0
3 years ago
Find the equations of the tangents to the curve x=9t2+3, y=6t3+3 that pass through the point (12,9).
Xelga [282]

Answer:

The equation will be "y=x-3".

Step-by-step explanation:

Given:

Points (12, 9) = (x, y)

⇒ x=9t^2+3

then,

 \frac{dy}{dt}=18t

or,

⇒ y=6t^3+3

then,

 \frac{dy}{dt}=18t^2

⇒ \frac{dy}{dx}=\frac{18t^2}{18t}

        =t

By using the point slope form.

The equation of tangent will be:

⇒ y-9=1(x-12)

   y-9=x-12

          y=x-12+9

          y=x-3

4 0
3 years ago
Bob purchased 2 hot dogs and 1 hamburger for S10. Later that day, Bob had to purchase more food and
Tom [10]

Answer:

Hotdog: $3.00

Hamburger: $4.00

Step-by-step explanation:

For the first time that Bob buys food, we can make an equation to find how much a single hotdog and a single hamburger costs, where:

x = cost of a hotdog

y = cost of a hamburger

He bought 2 hotdogs and 1 hamburger for $10, so the equation for his first time buying food is:

2x + y = 10

For the second time buying food, he bought 1 hotdog and 3 hamburgers for $15, so his equation would be:

x + 3y = 15

To find the value for x and y we need to solve this system of equations using the two equations we just came up with. We can do this multiple ways, but I'll be demonstrating the substitution method.

Using the second equation, we can solve for x by simply subtracting 3y from both sides:

x = 15 - 3y

We can then insert this value of x into the first equation so that way we are only dealing with one variable to solve - y:

2(15-3y) + y = 10

Distribute out the 2 into the paratheses, combine like terms, and then solve for y:

30 - 6y + y = 10

30 - 5y = 10

-5y = -20

y = 4

This means the cost for one hamburger is $4. But we still need to find the price of one hotdog, so we can insert this value of y into the equation we came up with earlier for x, and then solve for x:

x = 15 - 3y

x = 15 - 3(4)

x = 15 - 12

x = 3

So the price of one hotdog is $3 and the price of one hamburger is $4. Hope this helps.

3 0
2 years ago
Which of the following shows figure T rotated 90 degree clockwise around the origin?
abruzzese [7]
The last one shows the right transformation.
6 0
2 years ago
Read 2 more answers
The equation sin(40o) =b/20 can be used to determine the length of line segment AC. What is the length of AC? Round to the neare
boyakko [2]
For this case we have the following equation:
 sin (40o) = b / 20
 Clearing b we have:
 20 * sin (40o) = b
 Therefore, the length of the AC segment is given by:
 b = 12.9
 Answer:
 
the length of AC is:
 
b = 12.9
7 0
3 years ago
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