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Dafna11 [192]
3 years ago
10

tim is choosing between two cell phone plans that same amount of free minutes. Cingular plane charges 39.99 per month with addit

ional minutes costing 0.45. Verizon plan cost 44.99 with minutes at 0.40 . How many additional minutes a, will it take for thw two plans to cost the same

Mathematics
1 answer:
VMariaS [17]3 years ago
3 0

Answer:

100 minutes

Step-by-step explanation:

Let

x ----> the number of minutes

y ----> the total cost of the plan

we know that

<em>Cingular Plan</em>

y=0.45x+39.99 -----> equation A

<em>Verizon Plan</em>

y=0.40x+44.99 -----> equation B

To find out how many additional minutes will it take for the two plans to cost the same

Solve the system of equations A and B

Solve by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (100,84.99)

see the attached figure

therefore

For x=100 minutes

The cost for both plans is $84.99

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Cheddar Cheese
disa [49]

Complete question :

Cheddar Cheese

$3/lb

Swiss Cheese

$5/lb

Keisha is catering a luncheon. She has $30 to spend on a mixture of Cheddar cheese and Swiss cheese. How many pounds of cheese can Keisha get if she buys only Cheddar cheese? Only Swiss cheese? A mixture of both cheeses?

What linear equation in standard form can she use to model the situation?

Answer:

10 lbs of cheddar cheese

6 lbs of Swiss cheese

$3a + $5b = $30

Step-by-step explanation:

Given that :

Cheddar cheese = $3/lb

Swiss cheese = $5/lb

Total amount budgeted for cheese = $30

How many pounds of cheese can Keisha get if she buys only Cheddar cheese?

Pounds of cheedar cheese obtainable with $30

Total budget / cost per pound of cheddar cheese

$30 / 3 = 10 pounds of cheedar cheese

Only Swiss cheese?

Pounds of cheedar cheese obtainable with $30

Total budget / cost per pound of Swiss cheese

$30 / 5 = 6 pounds of Swiss cheese

A mixture of both cheeses?

What linear equation in standard form can she use to model the situation?

Let amount of cheddar cheese she can get = a

Let amount of Swiss cheese she can get = b

Hence,

(Cost per pound of cheddar cheese * number of pounds of cheddar) + (Cost per pound of Swiss cheese * number of pounds of Swiss cheese) = total budgeted amount

(3 * a) + (5 * b) = $30

$3a + $5b = $30

4 0
3 years ago
You purchase a cell phone for $125. the value of the cell phone decreases by about 20% annually. write a function at models the
djverab [1.8K]
F(x)=125-(125*0.2x)
to find the value of the phone after 3 years, you put x=3.
f(3)=125-(125*0.2(3))
f(3)=50
5 0
3 years ago
I do not understand this Can you please help.
Marrrta [24]

Answer: 1.7 is the answer hope this helps.

Step-by-step explanation:

4 0
3 years ago
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63 first-year teachers and 27 experienced teachers attended a school staff meeting. What percentage of the teachers in the meeti
nexus9112 [7]

Answer: 70%

Step-by-step explanation:

Step 1:

Total number of teachers = 63 + 27

                                            =  90

Step 2:

The percentage of the teachers in the meeting were first-year teachers:

(63 ÷ 90) × 100 = 70%

4 0
3 years ago
Convert -√3-i to polar form.
Jlenok [28]

Answer:

-sqrt(3) -i = 2 cis (7pi/6)

Step-by-step explanation:

-sqrt(3) -i

We can find the radius

r = sqrt( (-sqrt(3)) ^2 + (-1) ^2)

  = sqrt( 3 + 1)

  = sqrt(4)

  = 2

theta = arctan (y/x)

          arctan (-1/-sqrt(3))

         arctan (1/sqrt(3))

theta = pi/6

But this is in the first quadrant, and we need it in the third quadrant

Add pi to move it to the third quadrant

theta = pi/6 + 6pi/6

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-sqrt(3) -i = 2 cis (7pi/6)

6 0
3 years ago
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