Answer:
2520 ways
Step-by-step explanation:
We can solve this problem with 3 combinations:
First the teacher needs to give 3 fruit snacks to 10 students, so we have a combination of 10 choose 3: C(10,3) = 10! / (3! * 7!) = 120
Then, she needs to give 2 teddy grahams to 7 students (3 already got a snack), so a combination of 7 choose 2: C(7,2) = 7! / (2! * 5!) = 21
The, she gives the 5 granola bars to the other 5 students, so a combination of 5 choose 5: C(5,5) = 1.
Now we just need to multiply the combinations to find the result:
C(10,3) * C(7,2) * C(5,5) = 120 * 21 * 1 = 2520 ways
Answer:
The two expressions A and B are equivalent because the value of both expressions is same.
Step-by-step explanation:
Given: Expression A is 5(4+9) and expression B is 29+36.
To find: The reason why expressions A and B are equivalent.
First we solve expression A.
(using )
⇒
⇒
Now we solve expression B.
Clearly, the value of both the expressions is same.
Hence, the expression A is equivalent to expression B.
Answer:
23
Step-by-step explanation:
b^2 = 25^2 - 10^2
b^2 = 625 - 100
b^2 = 525
b/x = ✓525
b/x =23 #
sory if wrong
Image vertices are mathematically given as:
- A' = (-12 , 4)
- B' = (16 , -12)
- C' = (8 , 12)
- D' = (-4 , 16)
<h3>What are the image vertices for dilation with the center?</h3>
Generally, Multiplying the vertices by a scale factor of four is required in order for us to locate the picture vertices for dilation with center (0, 0).
In conclusion,, the image vertices are :
- A' = (-12 , 4)
- B' = (16 , -12)
- C' = (8 , 12)
- D' = (-4 , 16)
Read more about vertices
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