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Salsk061 [2.6K]
2 years ago
7

Angie baked 100 cookies and 20 brownies. she wants to split them into equal groups for the bake sale. Each group must have the s

ame number of cookies and
brownies with none left over. What is the greatest number of groups she can make
Mathematics
1 answer:
Pavlova-9 [17]2 years ago
3 0
Angie can make 50 groups of cookies and brownies.
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Find the number C(10,6)
EastWind [94]

Answer:

210.

Step-by-step explanation:

Combination formula is

nCr = \frac{n!}{r!(n-r)!}

Then, we have that n = 10 and r=6:

C(10,6) = \frac{10!}{6!(10-6)!}

C(10,6) = \frac{10!}{6!4!}

To simplify calculus, we are going to use that n! = (n-1)!n = (n-2)!(n-1)n and so on.

C(10,6) = \frac{6!*7*8*9*10}{6!4!}

C(10,6) = \frac{7*8*9*10}{4!}

C(10,6) = \frac{5040}{4*3*2*1}

C(10,6) = \frac{5040}{24}

C(10,6) = 210.

5 0
2 years ago
The hypotenuse of a right triangle measures 18 cm and one of its legs measures 12 cm. Find the measure of the other leg. If nece
Serggg [28]

Answer:

16 cm

Step-by-step explanation:

A right triangle, with the hypotenuse = 18, one side = 7, and the other side = x.

Since this is a right triangle, use the pythagorean theorem to find the value for x.

let a = 7 for one side, and let c = 18 for the hypotenuse. And, let c = x for the other side.

The pythagorean theorem is: c^2 = a^2 + b^2.

18^2 = 7^2 + x^2324 = 49 +x^2

x^2 = 324 - 49 = 275So, x = sqrt(275) = 16.5 cm

3 0
2 years ago
Read 2 more answers
Michelle drew a scale drawing of a swimming pool she used the scale 14 millimeters 5 meters in the drawing the pool is 42 millim
Lera25 [3.4K]

EXPLANATION

Let's see the facts:

The scale is---> 14 milimeters ----> 5 meters

Width = 42 milimeters

Applying the unitary method, the actual width of the pool is:

Actual_{}width=42\text{ mm}\cdot\frac{5m}{14\text{ mm}}=15m

The width of the pool is 15m

6 0
7 months ago
William buys a book for $14.85. If he pays with a $20 bill, what will his change c be? Write an equation.
butalik [34]
<h3>Answer:  14.85 + c = 20</h3>

============================================================

Reason:

To compute the change, we subtract the amount William gives the cashier (the $20) and the price of the book ($14.85)

The change c is

c = 20-14.85

To rearrange this equation, we can add 14.85 to both sides to end up with 14.85 + c = 20

In other words, solving that equation in bold leads to c = 20-14.85 = 5.15 which is the change William is given.

----------------

Extra info (optional section)

If the cashier wanted to mentally figure out the change in his/her head, then notice the jump from 85 cents to 100 cents is 15 cents. That means we go from 14.85 to 15.00

Then the jump from $15 to $20 is an extra 5 dollars. Overall, the total change given back to William is 0.15+5 = 5.15 dollars.

4 0
2 years ago
Find the area of the figure.
Sveta_85 [38]

Answer: want it be add up all the sides and divide by 4\

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
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