Answer:
The mode for the colors that Santino wore recently is Blue.
Step-by-step explanation:
The mode of a data set is the term or observation that presents most of the time.
The frequency table of different colored polo shirts worn by Santino is:
Color Frequency
Yellow 2
Blue 3
Green 1
Pink 1
Brown 1
Orange 1
Chartreuse 1
Black 1
Puce 1
The color Blue has the highest frequency, i.e. 3.
So, the mode for the colors that Santino wore recently is Blue.
Answer:
Jamie. by 7/16
Step-by-step explanation:
Halverson completed: 3/16
Jamie completed: 10/16.
To understand who completed more, look at the denominator. The common denominator is 16. Assume a puzzle has 16 pieces and Halverson did 3 out of 16 and Jamie did 10 out of 16. This means Jamie did more.
If you want to know by how much Jamie did more, it would be the difference of both the fraction. This means that 10 done by Jamie minus 3 done by Halverson, which is 7. So 7 out of 16 is the difference.
7 out of 16 can be written as 7/16
This equation simplified is:
Answer: 490 grams of the first alloy should be used.
30 grams of the second alloy should be used.
Step-by-step explanation:
Let x represent the weight of the first alloy in grams that should be used.
Let y represent the weight of the second alloy in grams that should be used.
A chemist has two alloys, one of which is 15% gold and 20% lead. This means that the amount of gold and lead in the first alloy is
0.15x and 0.2x
The second alloy contains 30% gold and 50% lead. This means that the amount of gold and lead in the second alloy is
0.3y and 0.5y
If the alloy to be made contains 82.5 g of gold, it means that
0.15x + 0.3y = 82.5 - - - - - - - - - - - -1
The second alloy would also contain 113 g of lead. This means that
0.2x + 0.5y = 113 - - - - - - - - - - - - -2
Multiplying equation 1 by 0.2 and equation 2 by 0.15, it becomes
0.03x + 0.06y = 16.5
0.03x + 0.075y = 16.95
Subtracting, it becomes
- 0.015y = - 0.45
y = - 0.45/- 0.015
y = 30
Substituting y = 30 into equation 1, it becomes
0.15x + 0.3 × 30 = 82.5
0.15x + 9 = 82.5
0.15x = 82.5 - 9 = 73.5
x = 73.5/0.15
x = 490
