Answer:
Your friend scored 62
Step-by-step explanation:
Let your friend's score = x
140/100 * x = 86.8 Starting statement
1.4x = 86.8 % has been changed to a decimal
1.4x = 86.8/1.4 Divide by 1.4
x = 86.8/1.4
x = 62 Answer
Answer:
f(2) = -2
Step-by-step explanation:
plug in 2 to wherever x is in this statement:
f(2) = -2(2^2) - 2(2) + 10
f(2) = -2(4) - 4 + 10
f(2) = -8 - 4 + 10
f(2) = -2
Answer:
65625/4(x^5)(y²)
Step-by-step explanation:
Using binomial expansion
Formula: (n k) (a^k)(b ^(n-k))
Where (n k) represents n combination of k (nCk)
From the question k = 5 (i.e. 5th term)
n = 7 (power of expression)
a = 5x
b = -y/2
....................
Solving nCk
n = 7
k = 5
nCk = 7C5
= 7!/(5!2!) ------ Expand Expression
=7 * 6 * 5! /(5! * 2*1)
= 7*6/2
= 21 ------
.........................
Solving (a^k) (b^(n-k))
a = 5x
b = -y/2
k = 5
n = 7
Substituting these values in the expression
(5x)^5 * (-y/2)^(7-5)
= (3125x^5) * (-y/2)²
= 3125x^5 * y²/4
= (3125x^5)(y²)/4
------------------------------------
Multiplying the two expression above
21 * (3125x^5)(y²)/4
= 65625/4(x^5)(y²)
Equations:
m = k + 5
k = s + 2
m + k + s = 30
-----------------------
Substitute for "m" and for "s"::
k+5 + k + k-2 = 30
3k +3 = 30
3k = 27
Kirsty has 9 marbles
---
Mina has 9+5 = 14 marbles
Seb has 9-2 = 7 marbles
Answer:
m = -10
Step-by-step explanation:
>:)