To find this, turn the word question into an equation.
"One less than" means - 1, which is 1 being subtracted from something.
"half a number" means 1/2x, since 1/2 is half and x is unknown.
"is 12" means = 12, which is something equals 12.
Putting this in order would be 1/2x, then - 1, then = 12.
As an equation, this is 1/2x - 1 = 12.
So the equation is 1/2x - 1 = 12
Now you must find the number by solving this equation.
1/2x - 1 = 12
First, add 1 to both sides.
12 + 1 = 13
1/2x = 13
Now multiply both sides by 2.
This way, x will be isolated since 1/2x • 2 = 1x, and 1x = x.
13 • 2 = 26
x = 26
The number is 26.
1)We need to know the amount of yellow tint in the old mixture.
amount of yellow tint=30% of 40 liters
30%=30/100=0.3
Amount of yellow tint=0.3(40 liters)=12 liters.
2)We need to find the amount of yellow tint in the new mixture.
amount of yellow tint in the new mixture=12 liters + 9 liters=21 liters.
3) we calculate the amount of the new mixture:
amount of new mixture=40 liters + 9 liters=49 liters
4) we compute the percent of yellow tint in the new mixture:
percent of yellow tint =(amount of yellow tint / amount of mixture)*100
percent of yellow tint=(21 liters / 49 liters)100≈42.9%
Answer: The percent of yellow tint in the new mixture is 42.9%.
note: if this answer is not correct you can try it with 42.8%
Answer:
-3/5
Step-by-step explanation:
tan = opp/adj using pathagorean the hypt is 5
cos = 3/5
tan is negative in quad 2 and 4
sin is positive in quad 1 and 2
so because tan is negative and sine is positive the cosine is negative
-3/5
4*3=12
2*2=4
12+4=16
16/4=4
4*5=20
Therefore, $20 was the original amount of money in your wallet.
Answer:
(0,8)
Step-by-step explanation:
First, we must arrange this equation into slope-intercept form, or y=mx+b form.
Equation: y-8=2x
Add 8 to both sides: y=2x+8
Now that the equation is in slope-intercept form, it is easy to find the y-intercept, as it is just the b-value.
In this case, the b-value is 8, so the y-intercept is (0,8).
Let me know if this helps!
