Answer:
Part A: 90; Part B: 24.
Step-by-step explanation:
The number of blueberry muffins is 40% of the total number of muffins.
Part A: There are 36 blueberry muffins. This is 40% of the unknown number of muffins, x; this gives us
36 = 0.4x
Divide both sides by 0.4:
36/0.4 = 0.4x/0.4
90 = x
There were 90 total muffins.
Part B: 40% of the total number of muffins, 60, gives us the unknown number of blueberry muffins:
0.4(60) = x
24 = x
There were 24 blueberry muffins.
Answer:
If (K + 1)^2 = 2n + (n^2)/2, then the answer is Yes, else No.
Step-by-step explanation:
Sum of first K + 1 odd numbers (S): 1 + 3 + 5 + ... + (2K - 3) + (2K - 1) + (2K + 1).
(1 + 3 + 5 + ... + (2K - 3) + (2K - 1) + (2K + 1)) + ((2K + 1) + (2K - 1) + (2K - 3) + ... + 5 + 3 + 1 ) = (2K + 2) + (2K + 2) + (2K + 2) + ... + (2K + 2) + (2K + 2) + (2K + 2) (repeat K + 1 times) = (2K + 2)(K + 1) = 2S
2S = (2K + 2)(K + 1)
S = (2K + 2)(K + 1)/2
S = (2K^2 + 4K + 2)/2
S = K^2 + 2K + 1
S = (K + 1)^2
(4n + n^2)/2 = 2n + (n^2)/2
Answer:
A: 6
B: 16
C: 2
D: -12
Step-by-step explanation:
They are asking you to multiply the equations:
(3x^2 + 2x - 3)(2x + 4)
Distribute and you should get:
6x^3 + 16x^2 + 2x - 12
The Coefficients A,B,C, and D are 6, 16, 2, and -12.
Answer:
we need a figure
Step-by-step explanation:
Answer:
to be parallel
slope should be equal
for first question
y=1/3X +2
comparing with y=m1x+c
slope = 1/3
similarly for second equation
y=1/3x -4
comparing with y=m2x + c
m2= 1/3
since m1=m2
lines are parallel
