Answer:
1/2
Step-by-step explanation:
In the straight line form...
y=mx+b
m is the constant of proportionality or the "K"
There are two ways to approach this question. The first is to divide both sides of the equation by 1/4, which is the same as multiplying by 4.
4*(-10)=4*(1/4)(8y-12)
-40=1(8y-12)
-40=8y-12
-40+12=8y-12+12
-28=8y
-28/8=8y/8
-3.5=y
Another method is to distribute 1/4 to each term within the parentheses.
-10=8y*(1/4) - 12*(1/4)
-10=2y - 3
-10+3=2y - 3 +3
-7=2y
-7/2= 2y/2
-3.5=y
I hope this is helpful!
Answer:
x=13 and y =6
Step-by-step explanation:
y=x-7
y=6
Substitute y=6 into the first equation
6 = x-7
Add 7 to each side
6+7= x-7+7
13 = x
x=13 and y =6
Answer:
$3600 per year into savings
Step-by-step explanation:
He makes 1500 dollars a month
1/5 of that goes into saving
1/5*1500 = 300
300 per month goes into savings
We want to know how much goes into savings per year
There are 12 months in a year, so we need to multiply by 12
300 per month * 12 months/ year = 3600 per year
$3600 per year into savings
Answer:
17.1 degrees
Step-by-step explanation:
This is a tangent question because angle XYZ is adjacent to 13 and opposite of 4. This means that we will have to use opposite/adjacent. This is very simple if you know the formula. Just plug those numbers in to get 4/13 = 0.3076923076923077. However, now we need to find it in degrees. If you have an inverse calculator near you, you would plug it in to get about 17.10, which rounds to 17.1.
