A. 30 sixth graders
b. 12 sixth graders
c. If the school has 40 students and the total of students is 70, the number of sixth graders is x
d. 36 students
Answer:
x=2 y=1
Step-by-step explanation:
3 times 2 =6
plus 1 = 7
It seems confusing, but it's just breaking down the steps for you. It's done the same as any other word problem.
a. The unknown is how many minutes she used beyond the plan. So, we'll use "m" for the variable, to represent minutes.
b. 73.40 = 65 + 0.10m
The 73.40 is the total, which is why it's by itself. 65 represents the price per month for the plan, and 0.10m is the price per extra minute multiplied by the unknown amount of minutes used.
c. 73.40 = 65 + 0.10m
8.40 = 0.10m
84 = m
d. The number of minutes that Allegra went over the time that the plan allows is found by solving the equation we just wrote and solved. $0.10 is paid for every minute past the plan's allowance, meaning that "m" in the equation, when solved, shows us exactly how many minutes over Allegra went.
Equation of a line that is perpendicular to given line is 
.
Equation of a line that is parallel to given line is 
.
Solution:
Given line 
.
Slope of this line, 
= 
Slope of perpendicular line, 
Passes through the point (–7, 5). Here 
.
Point-slope formula:
Subtract 7 from both sides, we get
Equation of a line that is perpendicular to given line is .
To find the parallel line:
Slopes of parallel lines are equal.
Passes through the point (–7, 5). Here .
Point-slope formula:
Subtract 7 from both sides,
Equation of a line that is parallel to given line is .
Answer: 260 minutes.
Step-by-step explanation:
This represents the ratio between the minutes he reads and the pages he reads: 40 : 52
The book Miguel is reading is 338 pages long. Miguel also reads 52 pages in 40 minutes. You can divide 338 by 52, which is equal to 6.5.
If it takes Miguel 40 minutes to read 52 pages, then we can multiply that by 6.5. 40 x 6.5 = 260.
In conclusion, it will take Miguel 260 minutes to read the entire book, or 4 hours and 20 minutes.
