Answer: 19/12 pounds or 1.583 pounds
Step-by-step explanation:
Let a pound be represented by x. So x = 1 pound.
5/6 of a pound is the same as multiplying 5/6 × x. It becomes 5/6 × x = 5x/6
3/4 of a pound is the same as multiplying 3/4 × x. It becomes 3/4 × x = 3x/4
We want to look for 5/6 of a pound + 3/4 of a pound.
It becomes
5x/6 + 3x/4
Taking lowest common multiple(LCM) of 12, it becomes
= (2×5x + 3×3x) / 12
= (10x +9x)/12
= 19x /12
Substituting x = 1 pound,
It becomes 19/12 pounds
Expressing in decimal, 19/12 = 15.83
We can also solve from the beginning in terms of decimals
5/6 pounds = 0.833 pounds
3/4pounds = 0.75 pounds
5/6 pounds + 3/4 pounds = 0.833 + 0.75 = 1.583 pounds
Answer:
11 feet wood will tenly use to make the frame.
Step-by-step explanation:
As given
Tey is making a square frame for her painting.
She is using 4 pieces of wood that are each 2.75 feet long.
Tenly uses wood to make the frame = Number of pieces of wood × Length of each pieces
Here
Number of pieces of wood = 4
Length of each pieces = 2.75 feet
Put in the above
Tenly uses wood to make the frame = 4 × 2.75
= 11 feet
Therefore 11 feet wood will tenly use to make the frame.
<h3>
Answer: x^2 + y^2 = 40</h3>
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Explanation:
The center is the origin, so (h,k) = (0,0).
The point (x,y) = (2,6) is on the circle's edge. We'll use these four values to find the value of r^2
(x-h)^2 + (y-k)^2 = r^2
(2-0)^2 + (6-0)^2 = r^2
2^2 + 6^2 = r^2
4 + 36 = r^2
40 = r^2
r^2 = 40
We don't need to solve for r itself. If you wanted to, you'd get the radius to be r = sqrt(40) = 2*sqrt(10) = 6.324555 approximately.
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Since h = 0, k = 0, and r^2 = 40, we can say:
(x-h)^2 + (y-k)^2 = r^2
(x-0)^2 + (y-0)^2 = 40
x^2 + y^2 = 40
