Answer:
Step-by-step explanation:
y intercept is -6
the slope is already in it's fraction form but if you want it back to whole number it's y=1.33x-6
the slope is positive
Some plots you can put are (6, 2) and (12, 10)
Just start at (0, -6) and counts 4 up and 3 right
Answer:
0.83
Step-by-step explanation:
The $500 price increase over this 12 year span results in the inflation rate:
$500
---------- = 0.83..., or 0.83 to the nearest hundredth (equivalent to 83%)
$600
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
Answer:
30 ml of 45% salt solution and 20 ml of 30% salt solution.
Step-by-step explanation:
Let x be the amount of 45% salt solution and y be the amount of 30% salt solution
the two equation will be:
x+y=60 -- A
0.45x+0.3y=0.4(60) -- B
Solve by substitution
Rewrite Equation A
x+y=60
x=60-y --- C
Substitute C into B
0.45(60-y)+0.3y=24
27-0.45y+0.3y=24
-0.15y=-3
y=20
<u>Substitute</u> the y=20 into equation C
x=60-20
x=30
Therefore, there was 30 ml of 45% salt solution and 20 ml of 30% salt solution.
Answer:
x = 4
Step-by-step explanation:
8x – 13 = 3x + 7
add 13 to both sides
8x = 3x + 20
subract 3x from both sides
5x = 20
divide by 5 on both sides
x = 4