Answer:
27, 30, 33
Step-by-step explanation:
Since Sam has fewer number of baseball cards than Jill who has 36 baseball cards and can arrange all his cards in only three ways, the possible number of baseball cards that Sam could have is 27, 30 or 33.
If he has 27 baseball cards, he can arrange 9 baseball cards per row in 3 rows
If he has 30 baseball cards, he can arrange 10 baseball cards per row in 3 rows
If he has 33 baseball cards, he can arrange 11 baseball cards per row in 3 rows
1) Unit Rate = 26:1
We already know that for every 3 gallons, you can travel 78 miles. Divide 78 by 3 to get 26. The 26 stands for how many miles you can travel on one gallon.
2) Unit Rate = $7.50:1
Since we already know that for every 7 hours, you earn $52.50, divide 52.50 by 7 to get 7.50. The 7.50 represents how much money you earn in 1 hour.
3) Unit Rate = 52:1
Since you can travel 416 miles in 8 hours, divide 416 by 8 to get 52. The 52 represents how many mile you can travel in 1 hour alone.
Here's a little hint too: (If I remember correctly) For unit rates, it's always going to be *any number* to 1. So even if it's a decimal or a negative, the other side of the rate always has to be 1 :)
Option A
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Answer:
x = 129°
Step-by-step explanation:
∠ ABD and ∠ DBC are a linear pair and sum to 180° , then
y + ∠ DBC = 180°
107° + ∠ DBC = 180° ( subtract 107° from both sides )
∠ DBC = 73°
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles , then
x = ∠ DBC + z = 73° + 56° = 129°