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
guapka [62]
3 years ago
15

Beatrice started babysitting when she was in high school. She has built a reputation for herself and has become popular among th

e neighborhood parents. Beatrice charges $10/h and gets a $5 automatic tip. Beatrice needs $100 to buy a present for her mother. She wants to find out the minimum number of hours she needs to babysit at one job to get the money she needs.
(a) Write an inequality and solve it to help Beatrice figure out the minimum number of hours. Identify what the variable is and what it represents. Show your work. Justify each step in the solution.
(b) Graph the solution on a number line.
(c) Beatrice doesn’t charge for partial hours. What is the minimum number of hours that she needs to work at one job to make at least $100? Round your answer to the nearest hour. Justify your answer.
Mathematics
1 answer:
tester [92]3 years ago
3 0
6.6 hours to get 100 dollars because 15 goes into 100 6.6 times 

hope that helps

You might be interested in
60 minutes is 20% of blank
leva [86]
60 = 0.20x
60/0.20 = x
300 = x <== so 60 minutes is 20% of 300 minutes
6 0
3 years ago
Is 1/4 more than 7/3
IrinaVladis [17]

Answer:

No

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Josh has a rewards card for a movie theater. He receives 15 points for becoming a rewards card holder. He earns 3.5 points for e
Savatey [412]

Answer:

C. 55 \leq 3.5x + 15

Step-by-step explanation:

i found it on google

6 0
2 years ago
Prince Ivan rides gray wolf and a constant speed from kings castle to the magic apple garden in five hours. on the return trip t
borishaifa [10]

Answer:

The original speed of the grey wolf can be 9 and/or 48 km/hour

Step-by-step explanation:

There are two trips. One to King Castle (KC) to Magic Apple Garden (MAG), and then back (MAG - KC).

First trip: KC - MAG

It takes the same distance as MAG - KC so distance can be D for both.

Then it is stated that it takes 5 hours or 300mins for him to go from KC - MAG, and the speed is constant.

Let x be speed.

So the equation for this is:

D=5x

Second trip: MAG - KC

Here he goes 36 mi at constant speed (x), then picks up his speed by 3 km/hour (x+3).

For Time:

He reaches to KC, 15 mins earlier than KC - MAG, so he reaches there in 4.75 hours or in 275 min.

The problem splits into two as there are two different times, for the two parts of the journey or distance for MAG - KC.

Let T#1 = a, and T#2 = b.

Let D#2 = D-36

The equation for a:

a = 36/x --> This is he is at a constant speed and went for 36mi.

Next:

The equation for b:

b = (x+3)/D#2

These two equation have to be added as (a+b) = 4.75 --> 4.75 is the total time for MAG - KC.

So the equation is:

36/x + (5x-36)/x+3 = 4.75 --> Knowing (a+b) = 4.75, just put 4.75 as the equal, and add the fractions that equal (a) and (b).

Now Solve:

36/x + (5x-36)/x+3 = 4.75

0.25s^2 + 108 + 5s^2 - 36s = 4.75s*(s+3)

0.25s^2 - 14.25s + 108 = 0

(14.25 +- Square root (203.06 - 108))/0.5

(14.25 +- Square root (95.0625))/0.5

(14.25 +- 9.75)/0.5

Answer:

s = 9, s=48.

Therefore the original speed of the grey wolf can be 9 and/or 48 km/hour.

8 0
2 years ago
The number of bacteria (b) in a batch of refrigerated food is given by the function b(t) = 20t2 − 70t + 300, where t is the temp
Setler79 [48]
If the number of bacteria b(t) is a function only of temperature t, and the temperature t(h) is a function only of time in hours h, then

b(t(h))=b(2h+3)=20(2h+3)^4-70(2h+3)+300
b(t(h))=320h^4+1920h^3+4320h^2+4180h+1710
4 0
2 years ago
Other questions:
  • Simplify the numerical expression: 4(3)+5(6+1)
    8·1 answer
  • PLEASE HELP FAST 21 PTS!!!
    5·2 answers
  • Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle. She wrote an equation to find the number of bottles
    5·1 answer
  • Given 8^2 – 3 + 4, what is the sum of the coefficients?
    8·1 answer
  • Quadrilateral ABCD is similar to Quadrilateral EFGH. Diagonal AC has length 7 and diagonal EG has length 13. What is the scale f
    11·1 answer
  • Jules kicks a soccer ball off the ground and into the air with an initial velocity of 25 feet per second. Assume the starting he
    14·1 answer
  • Another question <br> Use the given formula to find the area of the given rectangle: A=L x W
    6·2 answers
  • Find the output, y, when the input, x , is 7.<br> y=
    11·1 answer
  • Scores on a Registered Nurse (RN) aptitude exam are normally distributed with a mean of 72 and a standard deviation of 8. What i
    12·1 answer
  • Find h(6) if h(x) = -7x + 2
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!