Answer:
y=7
x=-7
Step-by-step explanation:
2(-3x - 7y )= 2(-28)
3(2x+ 3y)=3(7)
-6x - 14y = -56
6x + 9y = 21
Add the two equations
-1(0x - 5y)= -1(- 35)
5y = 35
Divide both sides by 5
y=7
Substitution
6x + 9(7) = 21
6x + 63 = 21
Subtract 63 from both sides
6x = -42
Divide both sides by 6
x= - 7
3/4 put into eighths would be 6/8. So Mia would be able to make 6 batches with the butter that she has.
Answer:
Step-by-step explanation:
We will use the point slope formula: 
We will start by finding the slope(
).
The formula for slope is
So if we just choose 2 random points on the line:
I choose (0,2) and (4,1), we get:
That's our slope.
Next we need to find the y-intercept(
). We can find that by looking at the graph. It is where x=0. So in this case y=2 when x=0.
So in point-slope form the equation is:
Answer:
Step-by-step explanation:
Ruth's salary is s(j), where s represents salary and j the number of jars she sells.
At the very beginning, she receives $50. Only answer 'd' could be correct.
But also, the equation has the variable part 0.65j, or
$0.65j, which is directly proportional to the unit price of the jars of jelly.
*
Summing up the fixed and variable parts, we get
s = $50 + ($0.65j), or s = $50 + ($0.65/jar)j This is Answer D.
Total = 16 marbles
R = 4
B = 7
G = 5
a)
P(R) = 4/17
with replacing it P(B) = 7/17
so
P(R, then B) = 4/17 x 7/17 = 28/289
b)
P(R) = 4/17
no replacing, P(B) = 7/16
so
P(R, then B) = 4/17 x 6/17 = 24/289
c)
The answers to parts a and b are not the same.
Part a (28/289) with replacing, the probability to select a red then blue is higher then part b (24/289)
