Answer:
Step-by-step explanation:
The system of linear equations in two variables is ,
We can easily solve out this Question using substitution method . For that , substituting x = 9y from equation (i) to equation (ii) , we have ,
Substituting this value in (i) ,
Manuel bought pounds of apples and eat 3/4 of 1 pound
That is 0.75 pounds
Thus 9-0.75=8.25 pounds of apples left with him.
It is given that the cost of 25 pounds of Apple is dollar.
Let the cost of 1 pound of Apple be x.
8.25 multiply X=15
8.25x. 10
————. = ——
8.25. 8.25
X=10
——
8.25
X=1.818181
X=2
Then the cost of Apple is above two dollars per pound
Answer: 5. The second box required more material to make.
6. A company saves about $84.94 by choosing to make fifty boxes of the smaller box in comparison to fifty boxes of the larger box.
Step-by-step explanation:
5. To solve this problem you need to find the volume of the boxes.
Volume of the first box.
v= 8 * 6.25 * 10.5
v= 525
Second box volume
9 * 5.5 * 11.75 = 581.625
Which means the second box required more material to make because it has the greatest volume.
6. To solve this you have to multiply the volume of small and large boxes by 50 the multiply it by 0.03.
525 * 50 = 26250 * 0.03 = 785.5
581.625 *50 = 29081.25 * 0.03= 872.4375
872.4375 - 785.5 = 84.9375 which is about $84.94.
Let us assume the first odd integer to be = x
Then
The consecutive middle odd integer = x + 2
The third consecutive odd integer = x + 4
So we can now write the equation as
x + x + 2 + x + 4 = 5(x + 2) - 18
3x + 6 = 5x + 10 - 18
3x + 6 = 5x - 8
3x - 5x = - 8 - 6
- 2x = - 14
2x = 14
x = 14/2
= 7
So the first odd integer is 7
The second consecutive odd integer = (x + 2)
= (7 + 2)
= 9
The third consecutive odd integer = (x + 4)
= 7 + 4)
= 11
So the three consecutive odd integers are 7, 9, 11.
Answer:
see below
Step-by-step explanation:
27) y = kx
18 = k(20)
18 = 20k
k = 0.9
28) y = kx
-9 = k(3)
-9 = 3k
k = -3
y = -3x
29a) y = kx
5 = k(1/3)
5 = 1/3k
k = 15
y = 15x
29b) y = 15x
y = 15(-2)
y = -30
