We want to see if the given function represents a linear function.
We will see that yes, it does.
So we have the function:
y = f(x) = 30 + 5*x
And a general linear function is written as:
y = a*x + b
where a is the slope and b is the y-intercept.
Comparing these two, we can see that both have the same general shape, thus, our function is also a linear function.
A graph of our function also can be seen below, where it is evident that it is a line.
If you want to learn more, you can read:
brainly.com/question/20286983
Answer:
The number of liters of 25% acid solution = x = 160 liters
The number of liters of 40% acid solution = y = 80 liters
Step-by-step explanation:
Let us represent:
The number of liters of 25% acid solution = x
The number of liters of 40% acid solution = y
Our system of Equations =
x + y = 240 liters....... Equation 1
x = 240 - y
A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution.
25% × x + 40% × y = 240 liters × 30%
0.25x+ 0.4y = 72...... Equation 2
We substitute 240 - y for x in Equation 2
0.25(240 - y)+ 0.4y = 72
60 - 0.25y + 0.4y = 72
Collect like terms
- 0.25y + 0.4y = 72 - 60
0.15y = 12
y = 12/0.15
y = 80 Liters
Solving for x
x = 240 - y
x = 240 liters - 80 Liters
x = 160 liters
Therefore,
The number of liters of 25% acid solution = x = 160 liters
The number of liters of 40% acid solution = y = 80 liters
Answer:
6 cm
Step-by-step explanation:
The area of a parallelogram is found by
A = b*h
24 = 4*h
Divide each side by 4
24/4 = 4h/4
6 =h
Answer:
He solved 75% of the puzzles!
Step-by-step explanation:
Okay, let's look at our fraction 18 out of 24. We can see that they are both even numbers, so at worst, we can divide the entire fraction by two. However, they have a GCF of six, so we will use that.
18 3
---- divided by 6 = ----
24 4
Now that we have the fraction 3/4, we can turn that into a percentage!
3/4 is 0.75. To get the percentage, we multiply that by 100--now we have 75%.
