Answer:
D: x = 2
Step-by-step explanation:
Go down the multiple choices answers and plug each value in for x until the inequality is true:
A:
1/4(32) < 8
1/4 × 32/1 < 8
32/4 < 8
8 < 8
8 is not less than 8 so this is false (8 = 8).
B:
1/4(35) < 8
35/4 < 8
8 3/4 < 8
8 3/4 is not less than 8 so this is false (8 3/4 > 8).
C:
1/4(34) < 8
34/4 < 8
8 2/4 < 8
8 2/4 is not less than 8 so this is false (8 2/4 > 8).
D:
1/4(2) < 8
2/4 < 8
2/4 is less than 8 so this is true (2/4 = 1/2 = 0.5 > 8).
Answer:
50 of D and 10 of C
Step-by-step explanation:
First of all, put this data into 2 equations.
You sold 60 items, so C+D=60
C is $5 so we can represent it by 5C
D is $7 so we can represent it by 7D
You made $400 total from C and D, so 5C+7D=400
We can use simultaneous equations to solve this.
To eliminate one of these variables, we'll multiply the first one by 5 to make it 5C like the other.
5(C+D=60) (make sure you multiply both sides.)
so 5C+5D=300
5C+7D=400
Now we solve it:
5C-5C+7D-5D=400-300
7D-5D=100
2D=100
D=50
Now we can substitute this with one of the equations to find C
C+50=60
C=60-50
C=10
so, (10x5)+(50x7)=400