Answer:
24 g
Step-by-step explanation:
We first find the mass of 24 % alcohol in 400 g of hand sanitizer. Let x be the mass of alcohol. So, x/400 × 100 % = 24 %
x/400 = 0.24
x = 0.24 × 400
= 96 g
The mass of the other chemicals is thus 400 g - 96 g = 304 g
We now find the mass of 30 % alcohol in 400 g of hand sanitizer. Let y be the mass of alcohol. So, y/400 × 100 % = 30 %
y/400 = 0.30
y = 0.30 × 400
= 120 g
The mass of the other chemicals is thus 400 g - 120 g = 280 g
The mass of other chemicals that needs to be evaporated is thus 304 g - 280 g = 24 g
Given the slope, m = -2/3, and the x-intercept, (3,0):
Use these values and plug into the slope-intercept form to solve for the y-intercept, b:
y = mx + b
0 = -2/3(3) + b
0 = -2 + b
Add 2 to both sides to isolate b:
0 + 2 = -2 + 2 + b
2 = b
Now that we have our slope, m = -2/3, and the y-intercept, 2
The linear equation in slope-intercept form is:
y = -2/3x + 2
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Answer:

Step-by-step explanation:
Given: 
Since the equation is written in slope-intercept form, it is extremely easy to find the y-intercept. Slope-intercept form is written as:

Whereas:
y: range
m: slope
x: domain
b: y-intercept
With that in mind, we can immediately tell that 6 is the y-intercept.
Answer: I would want to mathematically get better at percentages.
Step-by-step explanation:
Carmen simplifies the expression and gets the coefficient of y is 10. Thus, the correct option is C.
<h3>What is simplification?</h3>
Simplification is to make something easier to do or understand and to make something less complicated.
Given
Carmen simplifies the expression
.
We can add x term with x, y term with y, and constant with constant.
On simplifying, we have

Thus, the coefficeint of y is 10.
More about the simplification link is given below.
brainly.com/question/12616840