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2 years ago

7

There are 9 balls in a hat .The balls are numbered 1-9 you need to choose 3 of the balls . How many possible combinations are th

ere

1 answer:

Virty [35]2 years ago

3 0

Answer:

84

Step-by-step explanation:

Combinations

nCr

n (objects) = 9

r (sample) = 3

9C3

n! / r! (n – r)!

9! / 3! (9 – 3)!=

9! / (3! * 6!)=

9*8*7*6!/ (3! * 6!)=

6! cancels out

9*8*7/3*2*1=

3*4*7=

12*7=

84

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At the Kindom Zoo in Lalaland, a zookeeper named

Mnenie [13.5K]

Answer:

70

Step-by-step explanation:

$14 = 27 \\$

$x = 135$

$x = \frac{14 \times 135}{27}$

$x = 70$

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3 years ago

Lisa is cooking muffins. The recipe calls 7 cups of sugar. She has already put in 2 cups. How many more cups does she need to pu

jok3333 [9.3K]

Answer:

She needs to use 5 more cups of sugar for the muffins

Step-by-step explanation:

7-2=5

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3 years ago

On a map the scale is 1 inch = 125 miles. What is the actual distance between two cities if the map distance is 4 inches?

iragen [17]

The distance between the two cities is 500 miles. Since each inch represents 125 miles, you multiply 4*125 to get 500 miles.

7 0

3 years ago

PZZZ help!!!!!<br><br>25 points!

Cerrena [4.2K]

Answer:

Y=1.25x+3.50

Step-by-step explanation:

The problem is linear so it uses y=ax+b form. In this we can set the left group as x and the right group as y. Then use

(y2-y1) / (x2-x1) to find the slope. once the slope is found (1.25) we can find the y intercept by using one of our coordinates with our equation y-ax=b

12.25-1.25*7=b

b=3.5

now we put them all together to make

Y=1.25x+3.50

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3 years ago

Mr. Jackson invested a sum of money at 6% per year, and 3 times as much at 4%

bogdanovich [222]

Mr. Jackson invested $800 at 6% per year and $ 2400 at 4 % per year

<h3><u>Solution:</u></h3>

Mr. Jackson invested a sum of money at 6% per year, and 3 times as much at 4% per year.

Let the sum invested be ‘a’ and ‘3a’ at 6% per year and 4 % per year respectively

Also, his annual return totaled $144

We can form following equation on the basis of question:-

$\begin{array}{l}{\text { Then, } \frac{a \times 6 \times 1}{100}+\frac{3 a \times 4 \times 1}{100}=\$ 144} \\\\ {\frac{6 a}{100}+\frac{12 a}{100}=144} \\\\ {\frac{6 a+12 a}{100}=144} \\\\ {\frac{18 a}{100}=144} \\\\ {18 a=14400} \\\\ {a=14400 \div 18}\end{array}$

a = $800

The amount of money invested at 6% = a = 800

The amount of money invested at 4 % = 3a = 3(800) = 2400

So, the amount of money invested at 6% is $800 and the amount of money invested at 4% is $ 2400

4 0

2 years ago