Y = -5/4x + b is the equation that represents a line that is perpendicular to the line 5y-4x=-15
If you want it in standard form, it is 5x+4y=-15
Answer:
10,600
Step-by-step explanation:
The bacteria grew in 2 hours by 800. Divide that and that it by 400 per hour.
Since it is a proportional rate, we can assume that the rate continue through till midnight.
Since midnight is 12 hours after noon then the bacteria grow 400 (12)=4800.
We add this to the population at noon 5800+4800=10,600.
Answer:
20 is 80% of 25
Step-by-step explanation:
We assume, that the number 25 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 25, so we can write it down as 100%=25.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=25
2) x%=20
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=25/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 20 is what percent of 25
100%/x%=25/20
(100/x)*x=(25/20)*x - we multiply both sides of the equation by x
100=1.25*x - we divide both sides of the equation by (1.25) to get x
100/1.25=x
80=x
x=80
12 times because you divide 60 by 5 and get 12.
If 21 is added to (+ 21) a number (x) the result (=) is 40 less than (- 40) twice the number (2x)
x + 21 = 2x - 40 Add 40 to both sides
x + 61 = 2x Subtract x from both sides
61 = x Switch the sides to make it easier to read
x = 61