The answer is 19/8 and in the decimal form it's 2.375
Answer:
A'(1, 0 ), B'(1, 2 ), C'(3, - 2)
Step-by-step explanation:
using the rule, add 3 to the x-coordinate and subtract 2 from the y- coordinate of the original points.
A' = (- 2 + 3, 2 - 2 ) = A'(1, 0 )
B' = (- 2 + 3, 4 - 2 ) = B'(1, 2 )
C' = (0 + 3, 0 - 2 ) = C'(3, - 2 )
Step-by-step explanation:
I don't see the options I can select, but it should be something like "sum".
it is also the "sum" of the areas of the rectangles separated by the dashed line (6×5 and 6×4). so, 6(9) = 6(5) + 6(4).
it is strangely written.
but 6(9) simply means 6×9 or 6×(9). one could also write (6)(9). and the same for 6(5) and 6(4).
We know that,
Number of scouts = 15
Number of feathers required by each scout = 18
Hence, Total Number of feathers required = 15 * 18 = 270
We also know that Number of feathers in each bag = 12
Hence, number of bags required to decorate picture frames = Total number of feathers required ÷ number of feathers in each bag
⇒ Number of bags required to decorate picture frames = 270 ÷ 12
⇒ Number of bags required to decorate picture frames = 22.5
Since half a bag can't be bought 23 bags would be required.
Answer:
-5
Step-by-step explanation:
Substituting x=4 into the equation gives a 2-step linear equation in y. It is solved by isolating the variable and making its coefficient be 1.
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<h3>use x=4</h3>
When x=4, the equation becomes ...
-3x +9y = -57
-3(4) +9y = -57
-12 +9y = -57
<h3>solve 2-step equation</h3>
The <u>first step</u> is to "isolate" the variable term (9y) by adding the opposite of the constant that is on the same side of the equation. The result is that the variable term is by itself on one side of the equal sign.
-12 +12 +9y = -57 +12 . . . . . add the opposite of -12
9y = -45 . . . . . . . . . . . . . . simplify
The <u>second step</u> is to make the coefficient of y be 1. We do that by multiplying by its inverse, 1/9. Equivalently, we divide by 9.
(1/9)(9y) = (1/9)(-45) . . . . multiply by the inverse of 9
y = -5 . . . . . . simplify