Answer:
Each person get = 20 cents
Step-by-step explanation:
Given - Maya and three friends have three quarters and one nickel to spend.
To find - If Maya and her friends share the money equally how much will each person get ?
Proof -
We know that
1 nickel = 5 cents
1 quarter = 25 cents
As they spent, 3 quarters and one nickel
So,
Total money spent = 3(25) + 5 = 75 + 5 = 80 cents
⇒Total money spent = 80 cents
Now,
Total people = 4 (Maya and three friends )
Now,
Given that, They share the money equally
So,
Each person get = 
= 20 cents
Answer: Carlos is correct
Step-by-step explanation:
2x^5-250x^2
The first step is to factorize out 2x^2
2x^2(x^3-125)
This can be rewritten as
2x^2(x^3-5^3),
Recall, difference if cube (a^3-b^3)
= (a-b)(a^2 +ab + b^2)
from our equation,
a= x
b = 5.
So the difference of cubes will be
2x^2[(x-5) (x^2 + 5x + 5^2)]
=2x^2[(x-5) (x^2 + 5x + 25)]
Carlos followed these steps. So he is correct. Carlos is correct because he correctly factored the GCF, identified a and b, and applied the difference of cubes method.
Amber is incorrect because 125 is equal to b3, not b.
Bernie is incorrect because x2 is not the GCF of the polynomial. The GCF is 2x^2.
Answer:
Step-by-step explanation:
<u>Given sequence:</u>
<u>This is AP with:</u>
- The first tern a₁ = - 3
- Common difference d = 3
<u>The rule for the nth term of the sequence is:</u>
<u>Substitute values:</u>
- aₙ = -3 + (n - 1)(3) =
- -3 + 3n - 3 =
- 3n - 6
