Answer:
The independent variable is m, while the dependent variable is t.
Step-by-step explanation:
- What is the independent variable?
An independent variable is a variable that does not rely on another variable to change its outcome. In this case, the variable 'm' does not rely on the ride's total cost.
- What is the dependent variable?
The dependent variable is a variable that depends on another variable to give its amount. In this case, 't' is the dependent variable, because it depends on how many miles were driven, in order to provide the correct answer.
- Write an equation representing this relationship:
t = $6 + ($1.50 x m)
- Complete the table to show the total cost for riding 3 to 10 miles:
3 miles: t = $6 + ($1.50 x m) or $10.50 = $6 + ($1.50 x 3)
4 miles: t = $6 + ($1.50 x m) or $12 = $6 + ($1.50 x 4)
5 miles: t = $6 + ($1.50 x m) or $13.50 = $6 + ($1.50 x 5)
6 miles: t = $6 + ($1.50 x m) or $15 = $6 + ($1.50 x 6)
7 miles: t = $6 + ($1.50 x m) or $16.50 = $6 + ($1.50 x 7)
8 miles: t = $6 + ($1.50 x m) or $18 = $6 + ($1.50 x 8)
9 miles: t = $6 + ($1.50 x m) or $19.50 = $6 + ($1.50 x 9)
10 miles: t = $6 + ($1.50 x m) or $21 = $6 + ($1.50 x 10)
let the two numbers be x and y
From the first sentence,
xy=24
x+y=10
Then make y in equation 2 the subject of the formular and substitute in equation 1
x+y=10
y=10-x
substituting in equation 2
x(10-x)=24
open the bracket
10x-x^2=24
=-x^2+10x=24
Transfer the constant to the left hand side
=-x^2+10x-24=0
Then factorise completely
Look at the photo above
The length and width of the fence should be made 76.25 feet and 23.75 feet respectively. Also, the expression for the length is L = 3W + 5 and the perimeter is P = 2(4W + 5).
<h3>How to determine the fence's dimension?</h3>
Mathematically, the perimeter of a rectangle can be calculated by using this formula;
P = 2(L + W)
<u>Where:</u>
- P is the perimeter of a rectangle.
- L is the length of a rectangle.
- W is the width of a rectangle.
Since the length of this fence is 5 more than 3 times the width, we have:
L = 3W + 5
Substituting the given parameters into the formula, we have;
200 = 2(3W + 5 + W)
200 = 2(4W + 5)
200 = 8W + 10
8W = 190
W = 190/8
W = 23.75 feet.
For the length, we have:
L = 3W + 5
L = 3(23.75) + 5
L = 76.25 feet.
Read more on perimeter of a rectangle here: brainly.com/question/17107023
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Answer:
y+o+u+t+u+b+e +biggie smalls
Step-by-step explanation:
<em>Look</em><em> </em><em>at</em><em> </em><em>the</em><em> </em><em>attached</em><em> </em><em>picture</em><em>⤴</em>
<em>Hope</em><em> </em><em>it</em><em> </em><em>will</em><em> </em><em>help</em><em> </em><em>u</em><em>.</em><em>.</em>
