Answer: (3-1)×(7+5)
Step-by-step explanation:
There are mainly several ways to get 24
- 2×12
- 3×8
- 4×6
- add all of them together
- complicated ones can include large numbers minus another large number
Use try-check-revise, to find the way that fits 24
For this question, we used 2×12, which results in (3-1)×(7+5)
Hope this helps!! :)
Please let me know if you have any questions.
X > 10 Because if you remove the parenthesis and distribute 4 through the parentheses - 8x + 8 + 12. Then you add 8 and 12 which equals 20. Then you move the constant to the right-hand side and change its sign. You calculate 100 - 20 which give you 80 and divide then which gives you 10.
Hopefully this helps! <3
Answer:
Step-by-step explanation:
- x = 36° as alternate interior angles are congruent
- z = 110° as opposite angles of parallelogram are congruent
- x + y + 110° = 180° as adjacent angles of parallelogram are supplementary
- y = 180° - 110° - 36° = 34°
Correct choice is C
Let x = no. of 10 oz cups sold
Let y = no. of 14 oz cups sold
Let z = no. of 20 oz cups sold
:
Equation 1: total number of cups sold:
x + y + z = 24
:
Equation 2: amt of coffee consumed:
10x + 14y + 20z = 384
:
Equation 3: total revenue from cups sold
.95x + 1.15y + 1.50z = 30.60
:
Mult the 1st equation by 20 and subtract the 2nd equation from it:
20x + 20y + 20z = 480
10x + 14y + 20z = 384
------------------------ subtracting eliminates z
10x + 6y = 96; (eq 4)
Mult the 1st equation by 1.5 and subtract the 3rd equation from it:
1.5x + 1.5y + 1.5z = 36.00
.95x + 1.15y+ 1.5z = 30.60
---------------------------subtracting eliminates z again
.55x + .35y = 5.40; (eq 5)
Multiply eq 4 by .055 and subtract from eq 5:
.55x + .35y = 5.40
.55x + .33y = 5.28
--------------------eliminates x
0x + .02y = .12
y = .12/.02
y = 6 ea 14 oz cups sold
Substitute 6 for y for in eq 4
10x + 6(6) = 96
10x = 96 - 36
x = 60/10
x = 6 ea 10 oz cups
That would leave 12 ea 20 oz cups (24 - 6 - 6 = 12)
Check our solutions in eq 2:
10(6) + 14(6) + 20(12) =
60 + 84 + 240 = 384 oz
A lot steps, hope it made some sense! I hope this helps!! ;D
