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docker41 [41]
3 years ago
11

A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.15 for each minute of calls. Plan B costs $30 p

lus an additional $0.10 for each minute of calls.
what amount of calling would the plans be the same?

WHAT IS THE COST WHEN 2 PLANS ARE THE SAME?
Mathematics
1 answer:
Mkey [24]3 years ago
3 0

First, you need to write to expressions to model each situation:

Plan A: 10+0.15x

Plan B: 30+0.1x


Next, set the expressions equal to each other and solve for x:

10+0.15x=30+0.1x

<em>*Subtract 0.1x from both sides to isolate the variable*</em>

10+0.05x=30

<em>*Subtract 10 from both sides*</em>

0.05x=20

<em>*Divide both sides by 0.05*</em>

x=400


The plans would have the same cost after 400 minutes of calls.


To find how much money the plans cost at 400 minutes, plug 400 into either expression.  We'll use Plan A:

10+0.15(400)

10+60

70


The plans will cost $70.


Hope this helps!

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1/4 K +1/4 M -2/3 K +5/9 M simplified
solniwko [45]

Answer:

-5/12k -11/36m

Step-by-step explanation:

4 0
2 years ago
Which of the following sets of values correctly completes the T chart for the equation Y =|3x+1|. -5,1,7
Ivahew [28]

Option C:

5, 1, 7

Solution:

Given equation:

y = |3x + 1|

In the chart, x values are given as –2, 0, 2.

To find the value of y for the corresponding x given.

Substitute x  = –2 in the equation of y.

y = |3(–2) + 1|

  = |–6 + 1|

  = |–5|   (Absolute value of a negative number is positive)

y = 5

Substitute x  = 0 in the equation of y.

y = |3(0) + 1|

  = |0 + 1|

  = |1|

y = 1

Substitute x  = 2 in the equation of y.

y = |3(2) + 1|

  = |6 + 1|

  = |7|   (Absolute value of a negative number is positive)

y = 7

Option C is the correct answer.

The values of y are 5, 1, 7.

The answer image of the table is attached below.

8 0
3 years ago
Steven and his family ordered a meal the cost 136.50. Steven paid 14% sales tax and left a 20% tip on 136.50. What was the total
Ne4ueva [31]

Answer:

The total cost was $182.91.

Step-by-step explanation:

Tax formula:

tax=tax percentage×amount

Tip formula:

tip=tip percentage×amount

solve

First find the tax. Write 14% as the decimal 0.14 before using it in the equation.

tax

= tax percentage×amount

= 0.14×136.50

= 19.11

The tax was $19.11.

Now find the tip. Write 20% as the decimal 0.20 before using it in the equation.

tip

= tip percentage×amount

= 0.20×136.50

= 27.3

The tip was $27.30.

Finally, find the total cost.

total cost

= cost + tax+tip

= 136.50+19.11+27.30

= 182.91

7 0
2 years ago
Read 2 more answers
Julie and Kristen are the partners in a local sporting goods shop. They needed $51,000 to start the business. They invested in t
exis [7]
5:12 means there are 17 parts
Percentages are calculated by dividing the part by the total, and multiplying by 100
Julie put in 5 out of 17 parts so:
\frac{5}{17}×100=29.4%
Kristen owns the rest of the business \frac{12}{17}×100=70.6%

The amount of money doesn't make a difference, as the percentage will always be the same.
8 0
3 years ago
Which of the following proportions can be used to prove AE || DK in the proof below? Select all that apply.
Galina-37 [17]

Answer: DA:FA=KE:EF, DF:DA=KF:KE and FA:DA=EF:KE are correct.

Explanation: Since, \triangle EFA and \triangle KFD are similar triangles.

Because, \angle FAE= \angle FDK and \angle FEA= \angle FKD (because EA and KD are parallels. And, \angle F is common angle for these triangles.

Therefore, according to the property of similar triangles.

FE:EK= FA:AD, FE:FK=FA:FD and DF:DA=KF:KE .

Thus, first, second and third options are correct.

5 0
2 years ago
Read 2 more answers
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