Answer:
gcd(18, 54) = 18
Hope this helps have a great day/night :)
Answer:
y = 4/3x + 4
Step-by-step explanation:
y = mx + b is the formula for finding the slope intercept form equation
m = slope
b = y intercept
If you look at points (-3, 0) and (0, 4), you can calculate the slope
You have to go over, from point (-3, 0), 3 times, and up four to get to the point (0, 4)
Slope is change in y over change in x, so, if we look to see where the line crosses the y-axis, or vertical axis, we can see it reach the number four on the y-axis, b = 4
Now, lets create your equation...
y = 4/3x + 4
Answer:
j=10.8
Step-by-step explanation:
First, you want to get rid of that 1, so to do that, you add 1 to each side, so you have j/4=2.7. Next, to get rid of the division, you need to multiply by 4 instead, so if you multiply each side by 4 to cancel out the division, you're left with j=10.8
Answer:
6 ounces
Step-by-step explanation:
Let x = the number of ounces of the 15% alcohol solution needed to be mixed with the 4 ounces of 20% alcohol solution to obtain the 17% alcohol solution.
After converting the percentages to their decimal equivalents, set up the necessary equation as follows:
0.15x+0.20(4) = (x+4)(0.17) Simplify and solve for x.
0.15x+0.8 = 0.17x+0.68 Subtract 0.15x from both sides.
0.8 = 0.02x+0.68 Now subtract 0.68 from both sides.
0.12 = 0.02x Finally, divide both sides by 0.02
x = 6
You need to mix 6 ounces of 15% alcohol solution with 4 ounces of 20% alcohol solution to obtain 10 (x+4)ounces of 17% alcohol solution.
