Answer:
4
1.5(x+4) - 3 = 4.5( x-2)-----------------------open brackets on both sides
1.5 x +6 -3= 4.5x- 9.................................collect like terms
3+9 = 4.5 x- 1.5x
12=3x..................................divide by 3 both sides to get x
12/3=x
x=4
9514 1404 393
Answer:
7. d. l = 6.48 cm, w = 6.48 cm
8. d. square
Step-by-step explanation:
For a given area, the perimeter can always be shortened by reducing the length of the long side and increasing the length of the short side. When you get to the point where you can't do that, then you have the minimum perimeter. You will reach that point when the sides are the same length: the rectangle is a square.
__
7. In light of the above, the best dimensions are √42 ≈ 6.48 cm for length and width.
__
8. In light of the above, the shape is a square.
_____
The attached graph shows the length of one side (x) and the associated perimeter. The other side is 42/x, which will also be 6.48.
9514 1404 393
Answer:
multiplication
Step-by-step explanation:
In math, "X of Y" means that X is multiplied by Y*. Here, you need to figure out what values are being multiplied.
The fraction of claims remaining unpaid after the first month is ...
1 - 4/7 = 7/7 -4/7 = 3/7 . . . . fraction of claims unpaid after month 1
The problem statement tells you 2/3 of these are paid in the second month. That is ...
(2/3) × (3/7) = 2/7 . . . . of the total of all claims
2/7 of all claims were paid in the second month.
_____
* The interpretation of the word "of" will depend on the context. Here, we're referring to X being a percentage or fraction, as in "2/3 of 3/7".
In some uses, the word "of" may signify that X is multiplied by a fraction with Y as the denominator, as in "5 of 8" (meaning 5/8), for example. If Y is an object, the X is still a multiplier, as in "3 of the bags of cement".
<span>The three consecutive even integers are 92, 94, and 96.
~Jurgen</span>