1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
weqwewe [10]
2 years ago
12

The price of a cellular telephone plan is based on peak and nonpeak service. Kelsey used 45 peak minutes and 50 nonpeak minutes

and was charged $27.75. That same month, Mitch used 70 peak minutes and 30 nonpeak minutes and was charged $36. What are the rates per minute for peak and nonpeak time? Show your work.
Mathematics
1 answer:
Oxana [17]2 years ago
5 0
We can build a system of two linear equations with two unknowns with the info provided in the problem, one with Kelsey info and one with Mitch info like so:
Lets call p the amount on peak minutes and n the amount of non-peak minutes:
45p + 50n = 27.75
70p + 30n = 36
lets reduce the equations dividing the first by 5:
9p + 10n = 5.55
<span>70p + 30n = 36
</span>now, to eliminate n, lets multiply the first equation by -3 and add the two equations:
-27p - 30n = -16.65
<span>70p + 30n = 36
</span>----------------------------
43p + 0 = 19.35
p = 19.35<span>/43
p = 0.45
therefore the peak rate is $0.45 per minute
lets substitute in one of the original equations this result:
</span><span>45p + 50n = 27.75
</span>45(0.45) + 50n = 27.75
20.25 <span>+ 50n = 27.75
50n = 27.75 - 20.25
50n = 7.5
n = 7.5/50
n = 0.15
therefore the non-peak rate per minute is $0.15</span>
You might be interested in
A roller coaster ride holds a total of 48 passengers. The ratio of males to females on the ride is 5 : 7. Let x represent the nu
Debora [2.8K]
X+y=48
5x+7y=48
make sure that you solve these if needed
5 0
3 years ago
Read 2 more answers
In ΔLMN, l = 8.7 cm, m = 2.3 cm and n=6.6 cm. Find the measure of ∠M to the nearest degree.
DIA [1.3K]

Answer:

7

Step-by-step explanation:

\underline{\text{Solution Method 2:}}

Solution Method 2:

​

Use original formula

a^2=b^2+c^2-2bc\cos A

a

2

=b

2

+c

2

−2bccosA

From reference sheet.

\text{Since we are finding }\angle M\text{,}

Since we are finding ∠M,

\text{plug in }2.3\text{ for side }a:

plug in 2.3 for side a:

Opposit the angle we want

2.3^2 = 6.6^2+8.7^2-2(6.6)(8.7)\cos M

2.3

2

=6.6

2

+8.7

2

−2(6.6)(8.7)cosM

Plug in values. Side "a" is opposite the wanted angle.

5.29 = 43.56+75.69-114.84\cos M

5.29=43.56+75.69−114.84cosM

Square sides.

5.29 =

5.29=

\,\,\color{white}{-} 119.25-114.84\cos M

−119.25−114.84cosM

Add.

-119.25=

−119.25=

\,\,-119.25

−119.25

-113.96=

−113.96=

\,\,-114.84\cos M

−114.84cosM

\frac{-113.96}{-114.84}=\cos M

−114.84

−113.96

​

=cosM

Divide to solve for cos(A).

M= \cos^{-1}(\frac{-113.96}{-114.84})\approx7.098\approx 7^{\circ}

M=cos

−1

(

−114.84

−113.96

​

)≈7.098≈7

∘

8 0
3 years ago
Read 2 more answers
Somebody please tell me the answer ..
Solnce55 [7]

Answer:

y= -3/4 -0.5

...................

I need help with chemistry if anyone can help just look at my question and answer it please

8 0
2 years ago
Read 2 more answers
Barbara, Mark, and Carlos participated in the third heat of “The Big Race”. Barbara thought she could win with a 3 meter head st
steposvetlana [31]
Distance to travel = 20 m.
Let us determine the time, t, that each participant took to complete 20 m.

Barbara:
Average speed = (3 m)/(2 s) = 1.5 m/s
t = 20/1.5 = 13.3 s

Mark:
t =  5 s

Carlos:
y = x + 1
where
y = 20 m
x = time, t
Therefore
t =x = y - 1 = 20 - 1 = 19 s

Summary:
Barbara:  13.3 s
Mark:       5 s
Carlos:     19 s

Answer:
The winner is Mark
7 0
3 years ago
Graph the line passing through (-6, 2) and (-2, -2) and find its slope.
zysi [14]
Penis______________________
8 0
3 years ago
Other questions:
  • How many plants spaced every 5 in. are needed to surround a circular walkway with a 20-ft radius?
    11·1 answer
  • How much water must be added to 30 ounces of a 46% solution of argyrol to reduce it to a solution that is 15% argyrol?
    11·1 answer
  • Solve for all values of x in simplest form. 5-3|2x-7|=-31
    11·1 answer
  • Use the distributive property to remove the parentheses. 5(8+x)
    14·2 answers
  • By accident, six burned-out bulbs have been mixed in with 26 good ones. Ken is replacing old bulbs in his house. If he selects t
    10·1 answer
  • At 111111:55\text{ p.M.}55 p.M.55, start text, space, p, point, m, point, end text, Thomas ties a weight to the minute hand of a
    9·1 answer
  • Solve the following equation for x.<br> −13−4x−13x=−14+15x
    9·1 answer
  • How to solve 12x-y=37 and -5x-y=-14 using elimination method and please show work
    11·1 answer
  • Sara is reading a 538 page book. She reads 22 pages every day. How many days will it take Sara to read the entire book?
    8·1 answer
  • Make y the subject of formula 2y=3x-2​
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!