Step-by-step explanation:
Hey There!
Your answer

1. 1 1/2 - closest to 1
2. 11/24 - closest to 1/2
3. 3/16 - closest to 0
4. 11/24 - closest to 1/2
5. 8/15 - closest to 1/2
6. 49/60 - closest to 1
7.1 1/10 - closest to 1
8. 31/60 - closest to 1/2

1. Common denominator = 10
2. Common demoninator = 18
3. Common denominator = 28
if 2 quarts=1/2 galleon on the graph.
Then half of 2 quarts will be half of 1/2 galleons.
Therefore 1 quart=1/4 galleons.
Hope it helps!
Step-by-step explanation:
2x-y=8
x+y=20
------------
3x=28
×=28÷3=9.3
so
9.3+y=20
y=20-9.3
y=20.7
Basically, you have two circles. You are asked to take circle 1 and "move it" so that it is on top of circle 2. This process of moving is called a translation and can be thought of as sliding. You do this by ensuring that the two have the same center. So, starting at (-4,5) how do you have to move to end up at (2,1)?
To do this we need to move right 6 as the x-coordinate goes from -4 to 2. We also need to move down 4 as the y-coordinate goes from 5 to 1. So we add 6 to the x-coordinate and subtract 4 from the y-coordinate. The transformation rule is (x+6, y-4).
Once you do this the circles have the same center. Next you wish to dilate circle 1 so it ends up being the same size at circle 2. That means you stretch it out in such a way that it keeps its shape. Circle 1 has a radius of 2 centimeters and circle 2 has a radius of 6 centimeters. That is 3x bigger. So we dilate by a factor of 3.
Translations and dilations (along with reflections and rotations) belong to a group known as transformations.
Answer:10 over 13 x
Step-by-step explanation: convert the decimal number into a fraction 800-5x divided by 13 over 2
to divided by a fraction , multiply by the reciprocal of that fraction 800-5x x2 over 13
factor out 5 from the expression 5(160-x x2over 13) use the commutative property to reorder the terms 5(160-2over 13x) factor out 1 over 13 from the expression 5x 1 over 13x(2080-2x)factor out 2 from the expression 5x 1 over13 x2(1040-x)use the commutative property to recorder the terms 5*2x 1 over 13x (1040x) calculate the product 10 over 13x(1040-x) solution 10 over 13x (1040-x)
for simplify expression: covert the decimal number into a fraction 800-5x divided by 13 over 2 to divide by a fraction , multiply by the reciprocal of that fraction 800-5x x2 over 13 calculate the product 800- 10 over 13x
solution: 800-10 over 13x so your answer would still be