To find the best estimate of the number of servings of nachos Toby could make from a 51 5/8 ounce bag of chips, divide the weight of the bag by the weight of each serving. Toby could make about 177 servings of nachos from the bag.
To find the best estimate of the number of servings of nachos Toby could make from a 51 5/8 ounce bag of chips, we need to divide the total weight of the bag by the weight of each serving. The weight of each serving is 3 1/3 ounces, which is the same as 10/3 ounces. We can divide 51 5/8 by 10/3 to find the number of servings.
Converting the mixed number to an improper fraction, 51 5/8 is equivalent to 413/8. When we divide 413/8 by 10/3, we can multiply the numerator and denominator of the first fraction by the reciprocal of the second fraction: 413/8 multiplied by 3/10. This gives us (413 x 3) / (8 x 10) = 1239/80.
To simplify the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 7. Dividing 1239 by 7 gives us 177, and dividing 80 by 7 gives us 11. Therefore, Toby could make about 177 servings of nachos from the 51 5/8 ounce bag of chips.
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Answer:
Matthew scored 12.5% of his points in the playoff game.
Step-by-step explanation:
1. First write the total points that Matthew scored in basketball this season:
Total points = Points in regular season + Points in only playoff game (Eq.1)
Total points = 168
2. Then find the points he scorred in his only playoff game.
As he scored 147 points in the regular season, the points scored in his only playoff game will be found using the Eq. 1:
Points in regular season = 147
Total points = Points in regular season + Points in only playoff game (Eq.1)
168 = 147 + Points in only playoff game
Solving for Points in only playoff game:
Points in only playoff game = 168 - 147
Points in only playoff game = 21
Therefore Matthew scored 21 points in the playoff game.
3. Find the percent of the total points Matthew scored in the playoff game:
Each segment on the grid represents 1 unit.
Answer:
The triangle is shown in the below diagram.
Step-by-step explanation:
It is given that each segment on the grid represents 1 unit and point A is a vertex of a right angle triangle.
The height of triangle is 4 units, and the base is 5 units.
Let the coordinates of A be (x,y).
There are many possibilities to draw a right angled triangle having height 4, base 5 and vertex at A.
The height of the triangle is 4 units, so the coordinate of another vertex B is (x,y+4).
The base of the triangle is 5 units, so the coordinate of another vertex C is (x+5,y).
The triangle is shown in the below diagram.