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AnnyKZ [126]
3 years ago
5

How many ways can Hannah give three of her eight T-shirts to her younger sister?

Mathematics
1 answer:
prisoha [69]3 years ago
7 0
If Hannah gives her younger sister 3 shirts, it does not matter what order she hands them to her. No matter the order, it will still be the same group of 3 shirt. Since order is not important this problem can be solved using a combination.

Specifically we are asked to find 8C3 (sometimes called "8 choose 3"). This is a fraction. In the numerator we start with 8 and count down 3 numbers. In the denominator we start with 3 and count all the way down to 1. Thus we obtain,

\frac{(8)(7)(6)}{(3)(2)(1)}=(8)(7)=56
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Solve 4 [5 (12+3)-2]-7 PLSSS HELP MEEE
viva [34]

Answer:

285

Step-by-step explanation:

4(5x15-2)-7

4(75-2)-7

4x73-7

292-7

285

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2 years ago
What is the area of the circle?
Tanzania [10]
Area = \pi * r^2
= \pi * 1.8^2
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3 years ago
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A child lets go of a balloon that rises at a constant rate. 5 seconds after it was released, the balloon is at a height of 16 fe
Mama L [17]

Answer:

1. h = 2.4t + 4

2. 4 feet

3. 220 feet

Step-by-step explanation:

1. Write a linear model for the height, h, of the balloon as a function of the number of seconds, s that it has been raising.

Since the balloon rises at a constant rate, we find this rate by using the initial and final values of height and time at 5 seconds and 20 seconds respectively which are 12 feet and 52 feet respectively.

So, rate = gradient of line

= change in height/change  in time

= (52 ft - 16 ft)/(20 s - 5 s)

= 36 ft/15 s

= 2.4 ft/s

Now the equation of the line which shows the height is gotten from

(h - h')/(t - t') = rate

Using h'= 16 feet and t' = 5 s, we have

(h - 16)/(t - 5) = 2.4

h - 16 = 2.4(t - 5)

h - 16 = 2.4t - 12

h = 2.4t - 12 + 16

h = 2.4t + 4

where h is the height of the balloon above the ground and t is the time spent in the air in seconds.

2. What was the height of the balloon initially before the child let it go?

We obtain the initial height of the balloon before the child let go at time, t = 0 the time before the child let go.

So, substituting t = 0 into the equation for h, we have

h = 2.4t + 4

h = 2.4(0) + 4

h = 0 + 4

h = 4 feet

So, the height of the balloon before the child let go is 4 feet above the ground.

3. Use your model to predict the height of the balloon after 90 seconds.

We insert t = 90 s into the equation for h. So,

h = 2.4t + 4

h = 2.4(90) + 4

h = 216 + 4

h = 220 feet

So, the height of the balloon after 90 s is 220 feet above the ground.

8 0
2 years ago
Triangles H J K and L M N are congruent. Triangle H J K is rotated about point H to form triangle L N M. Triangle L M N is highe
Alex

Answer:

a rotation about point H

Step-by-step explanation:

i just took the test

7 0
2 years ago
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eve found a furniture store that sells an entertainment center she wants for $2,445. if the store offers a one-year loan, with a
ExtremeBDS [4]

Answer:

$90

Step-by-step explanation:

Given from the question that the down payment is 10% the selling price of the store this will be;

10/100 * $2445 = $244.50

Monthly payments = $195

For one year, paying $195 per month will give a total of : $195 * 12 =$2340

Adding the down payment to get total amount paid = $2340 + $195 = $2535

The interest paid will be : $2535 -$2445 = $90

3 0
3 years ago
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