A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.
Answer:
Step-by-step explanation:
13). Area of a square = (Side)²
= (BC)²
Since, diagonals of a square bisect each other at 90°,
ΔBOC is a right triangle.
By applying Pythagoras theorem in the given triangle,
BC² = OB² + OC²
BC² = 2(OB)²
BC² = 2(7√2)²
BC = 
Area of square ABCD = (BC)²
= (√196)²
= 196 units²
14). Measure of interior angles of the regular hexagon = 120°
Area of the regular hexagon = 
From the given picture,
m∠BAC = m∠ABC = m∠ACB = 60°
Therefore, ΔABC is an isosceles triangle.
And all sides of this triangle will be equal in measure.
AB = AC = BC = 9 units
Area of the given regular hexagon = 
= 210.44 square units
≈ 210.4 square units
Answer:
16a+20
Step-by-step explanation:
Distribution property
4×4a + 4×5
16a. + 20
1. 7x + 3 - 2x....x = 8
7(8) + 3 - 2(8) = 56 + 3 - 16 = 43
4. 7 - (-2y) + y - 9....y = 6
7 - (-2(6) + 6 - 9 = 7 + 12 + 6 - 9 = 16
7. -x + 8 + 7x - (-1).....x = -10
-(-10) + 8 + 7(-10) + 1 = 10 + 8 - 70 + 1 = -51
10. 4x + 2y - x - 8....x = 1, y = 5
4(1) + 2(5) - 1 - 8 = 4 + 10 - 9 = 5
13. 2x + 5y - 3x + (-8y)....x = -9, y = 9
2(-9) + 5(9) - 3(-9) - 8(9) = -18 + 45 + 27 - 72 = -18