Answer:
1. a = 2
2. x = 12
3. w = 2
Step-by-step explanation:
1. ok so 2a/5 we would want to separate it to 2/5 and a/5
2/5 x a/5 = 2a/5
next we want to subtract 2/5 from 8/10
8/10 - 2/5 or 8/10 - 4/10 = 4/10
now you have a/5 and 4/10
a/5 = 4/10
now you multiply each side by 5
a/5 x 5 = a
4/10 x 5 = 20/10 or 2
a = 2
2. ok so the x is kinda on it's own for this one but we still wan to get the x and the other numbers on opposite sides
1/16x + 1/4 - 1/4 = 1/16x
1/2 + 1/4 = 3/4
now we do that same last step
1/16x / 1/16 = x
3/4 / 1/16 = 12
x = 12
3. ill do one more and if you need more help just tell me
for this on we have the w on both sides so we have to get the variable(w) and the numbers on opposite sides
2w - 2 + 2 = 2w
1/2w + 7 - 1/2w = 7
2w + 1/2w = 5/2w or 2 1/2w
7 - 2 = 5
now we have to divide each side by 5/12 or 2 1/2
5/2w / 5/2 = w
5 / 5/2 = 2
w = 2
The amount of cloth needed to make 1 headband is 10 meters.
<h3>Unit value</h3>
- Number of headbands Anne made = 6
- Total clothes used = 3/5 meters
Cloth needed to make 1 headband = Number of headbands Anne made / Total clothes used
= 6 ÷ 3/5
= 6 × 5/3
= (6 × 5) / 3
= 30/3
= 10 meters
Therefore, the amount of cloth needed to make 1 headband is 10 meters.
Learn more about unit value:
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Answer: The slope is - 1/2.
Step-by-step explanation:
1) Reflecting over y=x means
. So, the coordinates of the image are:

2) Rotating 90 degrees counterclockwise about the origin means
, so the vertices of the image are:

3) The vertices of the image are:
