Carlita was either sipping the hot chocolate while she was out, or else
approximating the numbers. The exact number she reported is not
possible. To see why, I'll do it strictly by the math:
Robins = 5 times
Cardinals = 1 time
Total birds = 6 times
6 times = 25 birds
Divide each side by 6 : 1 time = 25/6 = 4-1/6 birds
Robins = 5 times = 20-5/6 of them
Cardinals = 1 time = 4-1/6 of them
Total: (20-5/6) + (4-1/6) = 25 birds.
How many more robins than cardinals = (20-5/6) - (4-1/6) = 16-2/3 more.
The math works out fine. But if the numbers she reported are true,
then some of what she saw was partial birds ... legs, or feathers,
things like that. Eeeew. I don't want to talk about it.
Answer:
90%
Step-by-step explanation:
50 x 2 is 100
40 x 2 is 80
5 x 2 is 10
80 +10 = 90
If each painting takes 3 hours, and he has to do 8 then he would spend 24 hours doing all 8 portraits
Answer:
im not completely sure but I'd say 30
Step-by-step explanation:
well I'm not sure but if they have the same base and altitude you'd think they might have the same volume, but I'm not exactly sure
Answer:
p= 2.5
q= 7
Step-by-step explanation:
The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.
Equations in slope- intercept form:
6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)
12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒ y=12/(2p-1)x - (5q-1)/(2p-1)
Slopes equal:
6/(2p-3)= 12/(2p-1)
6(2p-1)= 12(2p-3)
12p- 6= 24p - 36
12p= 30
p= 30/12
p= 2.5
y-intercepts equal:
(2q+3)/(2p-3)= (5q-1)/(2p-1)
(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)
(2q+3)/2= (5q-1)/4
4(2q+3)= 2(5q-1)
8q+12= 10q- 2
2q= 14
q= 7