Answer:
204
28=5 8=1
28+28=10 sheets
28×7=35 sheets
28x7=196
196+8=204
the plus 8 is for the extra page that is needed for 36
22 is the outlier. Hope this helps!
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
Answer:
There must be 96 milk chocolates.
Step-by-step explanation:
If you take the original ratio, 5:12, and replace the 5 with 40, you'd discover that 40 divided by 5 is 8. So what do you do? You multiply the 12 by 8 to get 96 so now the ratio is 40:96.
Answer:
(-1.5, 9) midpoint of AB
Step-by-step explanation:
The midpoint of A"B" is ...
M" = (A" +B")/2 = ((-3, 1) +(4, -9))/2 = (-3+4, 1-9)/2 = (1/2, -4)
We can "undo" the reflection across the x-axis to find M'. Reflecting M" back across the x-axis negates its y-coordinate:
M' = (1/2, 4)
We can undo the translation right 2 and down 5 by translating M' left 2 and up 5.
M = M' +(-2, 5) = (1/2-2, 4 +5)
M= (-1.5, 9)
The midpoint of AB is (-1.5, 9).
