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ss7ja [257]
3 years ago
13

To raise money for a local charity, students organized a wake-a-thon

Mathematics
1 answer:
arsen [322]3 years ago
6 0

Answer:

a) T= 3.125h

b) $75

Step-by-step explanation:

Given: We know Tania raised $50 for staying awake 16 hours. We also know the amount of money raised varies directly with the time.

We can divide $50 into 16 hours.

50/16 = 25/8

25/8 = 3.125

3.125 = 3 1/8 (You can use a fraction or decimal, whichever is preferred)

That's how much money she earns per hour. It may not make sense because you have 1/8 of a dollar, so it's okay if you're a little confused on that.

Now let's answer the first question: Write an equation relating the money Tania raised and the  amount of time, in hours, she stayed awake.

We know Tania earns $3.125 per hour, so we can make it this equation

T= 3.125h

T can represent Tania's earnings, and 3.125 is how much she earns h, hourly.

Now onto the second question: How much would she have raised by staying awake for 24 h?

We need to multiply 3.125, or 3 1/8, 24 times. Your answer should be $75.

(I apologize in advance if I misread something or made a mistake)

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Answer: $3.8 per pound of food.

Step-by-step explanation: 18.24 divided by 4.8

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3 years ago
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ruslelena [56]

Answer:

1.90

Step-by-step explanation:

7 0
3 years ago
Using complete sentences, write an indirect proof proving that if x=30, then 3/4x+5≠20 (3/4 being three over four)
WARRIOR [948]
<span>hypothesis :-
 if x=30, then 3/4x+5≠20
 let Q:- x=30 P:- 3/4x+5≠20
 we need to prove if Q then P (Q →P)
 
proof :-
lets assume 34x+5=20 is true
now x=30
 so
  3/4(30)+5=27.5 ≠20
which is a contradiction
   
proved ^</span>
8 0
3 years ago
You want to determine the use of a graphing calculator on a test. is it Experimental or Observational
bija089 [108]

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5 0
2 years ago
Shayla tutors middle school students and high school students. She charges a different rate for each. Last week, she tutored mid
Veronika [31]

Answer:

<em>Shayla charges $20 per hour for middle school students and $25 per hour for high school students.</em>

Step-by-step explanation:

<u>System of Equations</u>

Let's call:

x = Shayla's hourly charge for middle school students

y = Shayla's hourly charge for high school students

Last week, Shayla tutored middle school students for 5 hours and high school students for 12 hours. The total earning was 5x+12y. She earned $400 last week, thus:

5x + 12y = 400        [1]

This week, she tutored middle school students for 6 hours and high school students for 10 hours. The total earnings were 6x+10y and it represented $370, thus:

6x + 10y = 370

Dividing by 2:

3x + 5y = 185        [2]

We have formed the system of equations:

5x + 12y = 400        [1]

3x + 5y = 185        [2]

Multiply [1] by -3 and [2] by 5:

-15x - 36y = -1200

15x + 25y = 925

Adding both equations:

-11y = -275

Dividing by -11:

y = -275/(-11) = 25

y = 25

Substituting in [1]:

5x + 12*25 = 400

5x + 300 = 400

5x = 400 - 300 = 100

x = 100/5 = 20

x = 20

Shayla charges $20 per hour for middle school students and $25 per hour for high school students.

7 0
3 years ago
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