9514 1404 393
Answer:
2 2/3
Step-by-step explanation:
Let the number be represented by x. Then the problem statement is telling you ...
4 5/9 = 2 1/3 + (5/6)x
You can isolate the x term by subtracting 2 1/3 from both sides of the equation. (The properties of equality require that the same operation be performed on both sides of the equation.)
(4 5/9) - (2 3/9) = (2 3/9) -(2 3/9) +(5/6)x
2 2/9 = (5/6)x
The definition of the multiplicative inverse tells you that the coefficient of x can be made to be 1 if the term is multiplied by (6/5). We must do that to both sides of the equation.
(6/5)(2 2/9) = (6/5)(5/6)x
(6/5)(20/9) = x . . . . simplify
120/45 = x . . . . . . do the multiplication
8/3 = x = 2 2/3 . . . . . . . reduce the fraction
The number is 2 2/3.
_____
<em>Additional comment</em>
The number we're looking for is multiplied by 5/6 and the result has 2 1/3 added to it. To find the number, we "undo" these operations, in reverse order. We undo the addition by subtracting the amount that was added. We undo the multiplication by multiplying by the inverse of that factor.
This is the sort of logic that you would use to fill in the blank for ...
7 = 1 + 3×___
You probably recognize that this breaks down into two problems:
7 = 1 + ___ . . . . . (6 goes in the blank)
and
6 = 3×___
You may notice that for all of these problems, a good knowledge of addition and multiplication facts is useful.
Answer:
The answer is 165 in.
Step-by-step explanation:
The first shape (On the right) has a length of 3in. If you look at the top. and the height is 9in. Now you can find the width by looking at the other shape on the left and its width is 3in. Good thing the width on that shape matches the width on the right shape. so now you multiply 3, 3, and 9 and you get 81.
Now you look at the shape on the left. We already know the width which is 3in. and the height is 4in. to find the length don't look at the 10in. the 10 is the 1st and 2nd shape put together. look at the top of the shape on the left and there is a 7. That 7 is your length. now you multiply 7, 3, and 4 and you should get 84. Now you add 84 and 81 and you are left with the answer of 165in squared.
The answers are
13
3
-7
-47
Answer:
-1/2
Step-by-step explanation:
<u>y2-y1</u> <u>1-3 </u> <u> -1</u>
x2-x1 8-4 2
D.
-5(-1) + 2(2) = 5 + 4 = 9
-3 + 10 = 7
