x = number of packages he bought
y = number of popsicles in each package
Here are the two equations:
xy = 54
x = 3 + y
Using the substitution method, you can solve them to find x and y.
(3 + y)y = 54,
3y + y^2 = 54
y^2 + 3y - 54 = 0
Solve the quadriatic equation:
(y +9)(y - 6) = 0
y = -9, 6.
Plug y into: xy = 54
x(-9) = 54, x = -6.
x(6) = 54, x = 9.
So he bought 9 packages of popsicles, bc you can't bye -6 packages.
Answer:
Step-by-step explanation:
Without brackets, we are not exactly sure what is under the root sign. There are 3 choices.
sqrt(x) + 2 - 15 = - 3
sqrt(x + 2) - 15 = - 3
sqrt(x + 2 - 15) = - 3
I think the middle one is what you intend. If not leave a note.
sqrt(x + 2) - 15 = - 3 Add 15 to both sides.
sqrt(x + 2) - 15+15 = - 3+15 Combine
sqrt(x + 2) = 12 Square both sides
x + 2 = 12^2 Do the right
x + 2 = 144 Subtract 2 from both sides.
x + 2-2 = 144-2
x = 142
Answer:
(b) the unknown angle is 80°
Step-by-step explanation:
The unkown angle is:
[2(x-10)]°
Substituting "x" by 50 (part a)
[2(50-10)]°=[2(40)]°=80°
Pineapple juice : orange juice : lime juice = 2:7:3
So there is 2x of pineapple juice, 7x of orange juice and 3x of lime juice.
She used 100 ml of pineapple juice.
