Answer:
Step-by-step explanation:
Generally equation of a line is given as
y=mx+c
Then given the point (x, y)=(0,2)
Therefore x=0 and y=2
y=mx+c
2=m×0+c
2=0+c
Then, c=2
Then intercept is 2
Also given the point (x, y)=(3,4)
x=3 and y=4 and c=2
y=mx+c
4=m×3+2
4=3m+2
4-2=3m
2=3m
Then, m=2/3
Then, the slope of the graph is 2/3
y=mx+c
Now, m=2/3 and c=2
The general equation of the line becomes
y=2/3x+2
Multiply through by 3
3y=2x+6
Then this is the equation of the line
Answer:
Do what exactly? Send a picture or an equation.
Answer:
The number of penguins on the island is 17 and the number of bears on the island is 4.
Step-by-step explanation:
We are given that an island's only residents are penguins and bears, and if there are 21 heads and 50 feet on the island.
Let the number of penguins on the island be 'x' and the number of bears on the island be 'y'.
Also, we know that bears and penguins both have one head, and the bear has 4 feet and the penguin has 2 feet.
<u>So, according to the question;</u>
- The first condition states that there are 21 heads, that means;
x + y = 21
x = 21 - y ---------------- [equation 1]
- The second condition states that there are 50 feet on the island, that means;
2x + 4y = 50
x + 2y = 25
21 - y + 2y = 25 {from equation 1}
y = 25 - 21
y = 4
Now, putting the value of y in equation 1, we get;
x = 21 - y
x = 21 - 4 = 17
Hence, the number of penguins on the island is 17 and the number of bears on the island is 4.
In math, IS represents = OF represents multiply
1. So for the first problem is saying 24% * 80 24% is the same as .24 so .24*80=19.2
2. For this one the problem is saying 15=30%*x So for this we need to find x. So we divide both sides by .3 and get x = 50
3. You do the same thing as in 2. Im not gonna do all ur homework so you can do this one.
Hope that helps :)<span />