Answer:
1/9
Step-by-step explanation:
Sugar: x pounds
flour: 2x + 5 pounds
2x + 3(2x + 5) = 40
2x + 6x + 15 = 40
8x = 25
x = 3.125
-> a sack of flour is 3.125 + 5 = 8.125 pounds
I hope it‘s coorect
Answer:
The directrix is y=6 and focus is (0,4)
The equation of the parabola is,
20-4y=x²
Answer: there are 5 more girls than boys.
Step-by-step explanation:
The ratio of boys to girls in a classroom is 5:6. The total ratio is the sum of the proportion. It becomes 5 + 6 = 11
If there are 55 students in total, it means that the number of boys in the class is
5/11 × 55 = 25 boys
Also, the number of girls in the class is
6/11 × 55 = 30 girls
Therefore, the difference between the number of girls and boys in the class is
30 - 25 = 5 girls
Answer:
Step-by-step explanation:
From the information given,
Mark: 6,7,8,9,10
frequency:5,4,7,10,4
a) Range = highest mark - lowest mark
Range = 10 - 6 = 4
b) The number of students in the group is the sum of the frequency. Therefore,
Number of students = 5 + 4 + 7 + 10 + 4 = 30 students
c) Mean mark = (mark × frequency)/total frequency
[(6 × 5) + (7 × 4) + (8 × 7) + (9 × 10) + 10 × 4)]/ 30
Mean mark = (30 + 28 + 56 + 90 + 40)/30 = 244/30
Mean mark = 8.1