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ss7ja [257]
1 year ago
13

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

Mathematics
1 answer:
arsen [322]1 year 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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Readme [11.4K]

I believe the correct given equation is in the form of:

4 – 0.25 g + 0.5 h

Now we are to evaluate the equation with the given values:

g = 10 and h = 5

What this actually means is that to evaluate simply means to calculate for the value of the equation by plugging in the values of the variables. Therefore:

4 – 0.25 g + 0.5 h = 4 – 0.25 (10) + 0.5 (5)

4 – 0.25 g + 0.5 h = 4 – 2.5 + 2.5

4 – 0.25 g + 0.5 h = 4

 

Therefore the value of the equation is:

4

6 0
1 year ago
Read 2 more answers
Lori bought a shirt and a hat at a half off sale. If she spent a total of $21 on the two items, what was the original price of t
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Do 21 divided by 2 and you’ll get 10.5 so the original price was $10 and 50 cents
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1 year ago
Use Pythagorean identities to prove whether ΔLMN is a right, acute, or obtuse triangle. Show all work for full credit.
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Using Pythagorean identities:
 
If the sum of the height and base squared is greater than the hypotenuse squared, it would be an acute triangle.

If the sum of the height and base squared is less than the hypotenuse squared, it would be an obtuse triangle.

If the sum of the height and base squared is equal to the hypotenuse squared, it would be a right triangle.

The height = 10
The base = 24

10^2 + 24^2 = 100 + 576 = 676

The hypotenuse = 27 = 27^2 = 729

Because the sum of the height and base squared (676) is smaller than the hypotenuse squared (729) the triangle  is an obtuse triangle.


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2 years ago
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Triangle X Y Z is shown. Angle Z W X is a right angle. An altitude is drawn from point W to point Y on side Z X to form a right
saw5 [17]

Answer:

5 and one-third units

Step-by-step explanation:

In the given question, we are given the following values:

The length of W Y = 4

The length of Y X = a

The length of Z Y = 3

We are to find a

From the describe diagram above, we would have the following

WY:ZY = YX :WY

WY/ ZY = YX/WY

4/3= a/4

Cross Multiply

4× 4 = 3a

Divide both sides by 3

a = 16/3

a = 5 1/3 units

a = 5 and one third units

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The total cost, C, for running an advertisement in a local newspaper, The Free Press, is made up of an initial cost of $12 plus
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The answer would be c
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