Answer:
Step-by-step explanation:
√11
Step-by-step explanation:
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What do the two variables represent?
The two variables represent the number of nights or squires at the jousting contest.
Write a system of equations.
let k = number of knights and let s = number of squires
3k + 2s = 32
2k + s = 19
How many knights are there? <u>6</u>
How many squires are there? <u>7</u>
Solving:
solve for s in the second equation by subtracting 2k from both sides
2k + s = 19
s = 19 - 2k
substitute into first equation
3k + 2(19-2k) = 32
distribute 2 into 19-2k
3k + 38 - 4k = 32
add like terms
-k + 38 = 32
subtract 38 from both sides
-k = -6
divide by -1
k = 6
subsitute into the equation for s
s = 19 - 2k
s = 19 - 2(6)
s = 19 - 12
s = 7
Answer:
8
Step-by-step explanation:
The distance or the length between two points can be computed using the formula:
X₁ = x-coordinate of first point
X₂ = x-coordinate of the second point
Y₁ = y-coordinate of first point
Y₂ = y-coordinate of the second point
When we right down the coordinates of a point, we always start with the X and then the Y.
(X,Y)
You have the following coordinates or points
Point 1: (-3,4)
Point 2: (5,4)
Based on that we have the following given:
X₁ = -3
X₂ = 5
Y₁ = 4
Y₂ = 4
Now we just fill in the formula:
The distance traveled by first car is 50t + 100.
The distance traveled by second car is 70t.
The distance between the two cars after time, t is d = 100 - 20t.
The ratio of the distance traveled by the cars is (70t) / (50t + 100).
<h3>
Distance traveled by each vehicle is calculated as follows;</h3>
The distance traveled by each vehicle at the given time is calculated as follows;
<h3>Distance traveled by first car</h3>
D₁ = speed x time
D₁ = 50(t + 2)
D₁ = 50t + 100
<h3>Distance traveled by the second car</h3>
D₂ = 70t
<h3>Distance between the two cars after time, t</h3>
d = D₁ - D₂
d = (50t + 100) - 70t
d = 100 - 20t
<h3>Ratio of the distance traveled by the cars</h3>
D₂/D₁ = (70t) / (50t + 100)
Learn more about distance traveled by a vehicle here: brainly.com/question/6504879
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