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
garik1379 [7]
3 years ago
8

For her birthday, Sarah’s parents got her a new phone. The phone’s plan costs $59.99 a month and allows for unlimited calls, unl

imited web access, and 100 text messages a month. In addition, each text message over the 100 included with the plan is $0.10 . If Sarah’s parents budget $78.00 a month for her cell phone bill, what is the maximum number of text messages that she can send in one month?
Mathematics
1 answer:
S_A_V [24]3 years ago
5 0

78.00 = 59.99+0.10x

10.01=0.10x

x= 180.1 so she can send 180 texts plus the 100 free ones for a total of 280 texts


double check: 180 x 0.10 = 18.00 + 59.99 = 77.99

You might be interested in
Write the expression in terms of cosine.please help.
Aleks04 [339]

Answer:

cos13°

Step-by-step explanation:

Using the cofunction identity

sinx° = cos(90 - x)°

sin77° = cos(90 - 77)° = cos13°

4 0
4 years ago
Use Lagrange multipliers to find the maximum and minimum values of
marusya05 [52]

The Lagrangian is

L(x,y,\lambda)=x+8y+\lambda(x^2+y^2-4)

It has critical points where the first order derivatives vanish:

L_x=1+2\lambda x=0\implies\lambda=-\dfrac1{2x}

L_y=8+2\lambda y=0\implies\lambda=-\dfrac4y

L_\lambda=x^2+y^2-4=0

From the first two equations we get

-\dfrac1{2x}=-\dfrac4y\implies y=8x

Then

x^2+y^2=65x^2=4\implies x=\pm\dfrac2{\sqrt{65}}\implies y=\pm\dfrac{16}{\sqrt{65}}

At these critical points, we have

f\left(\dfrac2{\sqrt{65}},\dfrac{16}{\sqrt{65}}\right)=2\sqrt{65}\approx16.125 (maximum)

f\left(-\dfrac2{\sqrt{65}},-\dfrac{16}{\sqrt{65}}\right)=-2\sqrt{65}\approx-16.125 (minimum)

5 0
3 years ago
What comes after 5,10,20,40,80...
fgiga [73]
It is just doubled the number before so the next number would be 160, then it would be 360, 720, etc..
7 0
3 years ago
Which is the best estimate of the circumference of this circle?
Ann [662]

Answer:

To what circle?mm

Step-by-step explanation:

any pictures?

6 0
3 years ago
A jar contains 30 red marbles 50 blue marbles and 20 white marbles what is the the theoretical probability of choosing a white m
svlad2 [7]
Theoretical probablity=desiredoutcomes/totalpossibleoutcomes

desired=number of white marbles=20
total possible=red+blue+white=30+50+20=100

so theoretical probablity=20/100=2/10=0.2=20%
7 0
3 years ago
Read 2 more answers
Other questions:
  • How many ways can a 4 digit password be formed?
    11·2 answers
  • Martin runs 100 meters in 15 seconds. What is the equation for d, the distance in meters that Martin covers per second?
    12·2 answers
  • 2. Imagine you have invested $800 into a savings account that earns 3.5% interest
    9·2 answers
  • Name each polygon . Then tell whether it is a regular polygon or not a regular polygon
    14·1 answer
  • Simplify the expression. What is (-8.6)^0
    15·1 answer
  • What is the equation of the axis of symmetry for the parabola y=1/2(x-3)^2+5
    6·1 answer
  • Can sin(x)* cos(x) +{sin(x)*cos(x)+cos(x)*sin(x)} be simplified? If so, please simplfy it and show your work.
    5·1 answer
  • Name three values of x that would result in <br> y = cot x being undefined.
    11·1 answer
  • If there is 54% increase on a $54 item, then how much is the new cost for next year? Round to the nearest penny.
    5·1 answer
  • 10 more than the difference of 6m and 3. Write the sentence as a numerical expression
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!