Jordan signed up for annual cross Florida bike ride which is a 170 mile bike ride. After weeks of training he rides at an average of 15 miles per hour.
Answers
complete question:
Jordan signed up for the Annual Cross Florida bike ride which is a 170 mile bike ride. After weeks of training he, rides at an average of 15 miles per hour. Write an equation that can be used to show Jordan's progress in miles (y) after a number of hours (x).
Answer:
y = 15x
Step-by-step explanation:
Jordan signed up for the annual cross Florida bike ride which is a 170 mile bike ride. He can rides at 15 miles per hours after series of training . The equation to express his progress in miles (y) after a number of hours (x) can be express below.
The question asked how much progress in miles after a number of hour. This is simply expressing an equation that show how much distance in miles he will cover after certain number of hour(s). The equation will be
y = 15x
15 times any hours he spent will give you Jordan progress in miles since his average is 15 miles per hour.
where
y = Jordan progress in miles
x = number of hours
Example his progress in miles after 2 hours will be as follow.
y = 15x
x = 2 hours
y = 15 × 2
y = 30 miles.
In this case his progress in miles after 2 hours according to the equation will be 30 miles .If he uses 3 hours his progress in miles will be 45 miles and so on .
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Answers
Answers
The length of the rectangle is 15 dm and the width is 13 dm.
Let's assume that the length of the rectangle is "L" and the width is "W".
From the problem statement, we have two pieces of information:
The area of the rectangle is 195 dm²:
Area = Length x Width
195 dm² = L x W
The width is two less than the length:
W = L - 2
Now, we can substitute the second equation into the first equation to eliminate W and get an equation with only one variable:
195 dm² = L x (L - 2)
Simplifying the equation:
195 dm² = L² - 2L
L² - 2L - 195 dm² = 0
To solve for L, we can use the quadratic formula:
L = (-b ± √(b² - 4ac)) / 2a
Where a = 1, b = -2, and c = -195.
L = (2 ± √(2² + 4 x 1 x 195)) / 2 x 1
L = (2 ± √4 + 780) / 2
L = (2 ± √784) / 2
L = (2 ± 28) / 2
L = 15 or L = -13
Since the length can't be negative, the length of the rectangle is L = 15 dm.
Now we can use the equation W = L - 2 to find the width:
W = 15 dm - 2 dm
W = 13 dm
Therefore, the length of the rectangle is 15 dm and the width is 13 dm.
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3y – x = –7
The system has one solution.
The system consists of parallel lines.
Both lines have the same slope.
Both lines have the same y–intercept.
The equations represent the same line.
The lines intersect.
Answers
Answer:
The correct answers are:
- The system has one solution.
- The lines intersect.
Step-by-step explanation:
We are given system of linear equations as:
y=x-4--------(1)
and 3 y-x= -7----------(2)
on substituting the value of 'y' from equation (1) into equation (2) we have:
3(x-4)-x=-7
⇒ 3x-3×4-x=-7
⇒ 3x-x= -7+12
⇒ 2x=5
⇒
also putting the value of x into equation (1) we have:
- Hence, we get a unique value of x and y on solving the system of linear equations.
Hence, the system has one solution.
- the slope for line y=x-4 is 1 ( since on comparing the equation with y=mx+c; where m denotes the slope of line and c is the y-intercept)
y-intercept is -4
but the slope of line 3y-x = -7 i.e.
hence the slope of second line is: .
and y-intercept is .
- They represent different lines.
- the lines intersect at the point
Answer and explanation:
Given : Equations and
To find : Which statements about the system are true? Check all that apply.
Solution :
First we solve the system of equations,
.....(1)
......(2)
Substitute y from (1) in (2),
Substitute the value of x in (1),
1) The system has one solution i.e.
2) The system has solution which means it is not parallel lines.
Writing equation in slope from,
where m=1 and c=-4
where
and c=-4
3) Both lines have different slopes.
4) Both lines have the same y-intercept.
5) The equations represent the different lines.
6) The lines intersect at
Answers
for this question, you know what is x and you wanna find the y.
So the only thing you should do is to put 3 for x and solve the equation:
3 + y = 10
y = 10 -3
y = 7
Hava great one!
The problem already gave us x. So we plug it in.
3+y=10
We now want to make the variable by itself, so we subtract 3 to the other side.
y=10-3
Simple Math
y=7
I hope this helps;)
Answers
15.95 inches fabric was used on headband and 8.63 inches fabric was used on wristband of each player.
Step-by-step explanation:
Fabric used for headbands = 685.85 inches
No. of players = 41
No. of coaches = 2
Total = 41+2 = 43
Fabric used for one headband =
Fabric used for one headband =
Fabric used for wristbands = 353.83 inches
No. of players = 41
Fabric used for one wristband =
Fabric used for one wristband =
15.95 inches fabric was used on headband and 8.63 inches fabric was used on wristband of each player.
Keywords: division, unit rate
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