Answer: she made 11 sparkelers and gavin made 21
Step-by-step explanation:
We subtract 32 and 24 from 1219 and we get the answer. 1219-32-24=1163. 1,163 books were left.
Step-by-step explanation:
Consider the provided information.
For the condition statement
or equivalent "If p then q"
The rule for Contrapositive is: Negative both statements and interchange them. 
Part (A) If you are taller than 6 ft, then it is unpleasant for you to travel in economy class.
Here p is "you are taller than 6 ft, and q is "it is unpleasant for you to travel in economy class".
It is given that Your contrapositive must not contain explicit references to negation. Assume that the negation of "unpleasant" is "pleasant".
Contrapositive: If it is pleasant for you to travel in economy class then you are not taller than 6 ft then.
Part (B) "If x ≥ 0 and y ≥ 0 then xy ≥ 0" where x, y are real numbers.
Here p is "xy≥ 0, and q is "x ≥ 0 and y ≥ 0"
The negative of xy≥ 0 is xy<0, x ≥ 0 is x<0 and y ≥ 0 is y<0.
Remember negative means opposite.
Contrapositive: If xy < 0 then x<0 and y<0.
Answer:
x=10
Step-by-step explanation:
these are similar triangles
8 12
------ = -----------
x+4 2x+1
using cross products
8* (2x+1) = 12(x+4)
distribute
16x + 8 = 12x+48
subtract 12x from each side
16x-12x +8 = 12x-12x+48
4x+8 = 48
subtract 8 from each side
4x+8-8 = 48-8
4x = 40
divide by 4
4x/4 = 40/x
x =10
Answer:
if the outputs can be whole number then,
(x,y) = (0, 10) or (6,5) or (12,0)
if the outputs can be natural number then,
(x,y) = (6,5)