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mafiozo [28]
3 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]3 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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If LM=41-2x and NP=7x+5, find LM
Tatiana [17]
Answer:
LM = 33 units

Explanation:
From the drawing:
LM = NP
41 - 2x = 7x + 5
41 - 5 = 7x + 2x
36 = 9x
x = 9

This means that:
LM = 41 - 2x 
LM = 41 - 2(4) 
LM = 33 units

Hope this helps :)

8 0
3 years ago
How does the value of the digit 3 in the number 63,297 compare to the value of the digit 3 in the number 60,325
Iteru [2.4K]

Answer:

Step-by-step explanation:

The three in the first number is in the thousands place and in the second number the three is in the hundreds place.

4 0
3 years ago
Read 2 more answers
How do the prefixes in the metric system relate to the basic units?
WITCHER [35]
The basic unit of length in the metric system is the meter. Grams are used to measure weight and liter is used to measure liquid capacity
besides, it is used  so that you can express very large and very small numbers in a short unambiguous manner.
Example Instead of saying "three thousand million" meters
They classify the decimal place of the basic unit. ie, the meter is classified with milli (1/1000), centi(1/100), deci (1/10), Deca (10), Hecto (100), Kilo (1000).
4 0
4 years ago
Read 2 more answers
HELP PLZ RN&lt;3<br> which graph displays a rate of change of 2.5?
Ilya [14]

Answer:

The second graph.

Step-by-step explanation:

The first graph has a negative slope, so that can't be the right answer.

The last graph isn't steep enough to show a rate of 2.5.

This leaves us with the middle graph which is correct.

3 0
3 years ago
X+y+z=1
andrezito [222]

Answer: x = 0

y = 2

z = -1

Step-by-step explanation:

The system of equations are

x+y+z=1 - - - - - - - - - - 1

-2x+4y+6z=2 - - - - - - - - - 2

-x+3y-5z=11 - - - - - - - - - 3

Step 1

We would eliminate x by adding equation 1 to equation 3. It becomes

4y -4z = 12 - - - - - - - - - 4

Step 2

We would multiply equation 1 by 2. It becomes

2x + 2y + 2z = 2 - - - - - - - - - 5

We would add equation 2 and equation 5. It becomes

6y + 8z = 4 - - - - - - - - - 6

Step 3

We would multiply equation 4 by 6 and equation 6 by 4. It becomes

24y - 24z = 72 - - - - - - - - 7

24y + 32z = 16 - - - - - - - - 8

We would subtract equation 8 from equation 7. It becomes

-56z = 56

z = -56/56 = -1

Substituting z = -1 into 7, it becomes

24y - 24×-1 = 72

24y + 24 = 72

24y = 72 - 24 = 48

y = 48/24 = 2

Substituting y = 2 and z = -1 into equation 1, it becomes

x + 2 - 1 = 1

x = 1 - 1 = 0

4 0
4 years ago
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