Answer:
y = x + 1
Step-by-step explanation:
y = mx + b
First, find the y-intercept. This is where the line intersects with the y-axis.
So, 1. -> y = mx + 1
Next, find the slope. For every 1/2 moving to the right, it also vertically increased by 1/2.
(1/2)/(1/2)
= 1 -> y = x + 1
Therefore, y = x + 1
Answer:
The workers will need 10 days to finish the job.
Step-by-step explanation:
To solve this question we can use a compound rule of three. We have:
10 road workers -> 5 days -> 2h/day
2 road workers -> x days -> 5h/days
The first thing we should do is analyze how the proportions between the variables work, if they're inversely or directly proportional. If we raise the number of workers we expect that the amount of days needed to finish the job lowers and if we raise the number of hours worked in a day we expect that the workers would need less days to finish the job. So we need to invert the fractions that are inversely proportional to the amount of days worked, then we have:
2 -> 5 -> 5
10-> x -> 2
x = (5*2*10)/(2*5) = 100/10 = 10 days
Answer:
Step-by-step explanation:
Let x represent the total number of stdents that has all grades in the school.
There are three grades in the school. One grade has 1/3 of the students, this means that number of students that belongs tho this grade is 1/3 × x = x/3
One grade has 1/4 of the students, this means that number of students that belongs to this grade is 1/4 × x = x/4
Total number of students in both grades would be x/3 +/x/4 = 7x/12
The number of students in the remaining grade would be
x - 7x/12 = 5x/12
fraction of students in the remaining grade would be
(5x/12)/x = 5/12
Answer: 45
Step-by-step explanation:
Harsh is part of a school cricket team, and he has scored an average of 46 runs in 5 innings. His scores in 4 of them are 46,45, 39, and 55. His fifth score is calculated as follows:
Since he made 5 innings and has an average of 46, the total scores will be:
= 46 × 5
= 230
Total of his first 4 scores will be:
= 46 + 45 + 39 + 55
= 185
5th score = 230 - 185
= 45
Answer:
the answer is 14.9%
Step-by-step explanation:
(1+0.14/12)^(12))-1)*100=14.9%
