Answer:
2000 dollars
Step-by-step explanation:
let's say each boy gets x dollars
each girl gets 100 more dollars than each boy, or 100+x dollars
money = total money amongst boys = x dollars for each boy = 5 * x as there are 5 boys
money = total money amongst girls = 100 + x dollars for each girl = (100+x) * 4 as there are 4 girls
set the two equal to each other
5*x = (100+x) * 4
expand
5x = 400 + 4x
subtract 4x from both sides to put all the variable terms on one side
x = 400
each boy gets 400 dollars
total money = 5 *x = 2000 dollars
Answer:
11
Step-by-step explanation:
f(x) = 3x^2
– 4x – 9
Let x = -2
f(-2) = 3 (-2)^2 -4(-2) -9
=3(4) +8 -9
=12 +8 -9
20-9
11
Answer:
81
Step-by-step explanation:
Sorry this question does not sense..... 81 is evaluated
maybe I don't understand the terminology
Let t and s represent the masses of 20% and 60% alloys respectively.
t+s=80, s=80-t
(0.2t+0.6s)/80=0.52 multiply both sides by 80
0.2t+0.6s=41.6, now using s=80-t in this equation gives us:
0.2t+0.6(80-t)=41.6 perform indicated multiplication on left side
0.2t+48-0.6t=41.6 combine like terms on left side
-0.4t+48=41.6 subtract 48 from both sides
-0.4t=-6.4 divide both sides by -0.4
t=16, since s=80-t
s=64
So 16kg of 20% alloy is mixed with 64kg of 60% allow to make 80kg of a 52% alloy.
