Answer:
The answer is

Step-by-step explanation:
To find an equation of a line given the slope and a point we use the formula

where
m is the slope
( x1 , y1) is the point
From the question the point is (2, 4) and the slope is 3
The equation of the line is

We have the final answer as

Hope this helps you
Answer:
Step-by-step explanation:
(vertical angles)
(Interior angles on the same side of transversal)
Answer:
27
Step-by-step explanation:
<span>ratio 3:7
Zoe received £24 (3 x 8 = 24)
</span>Hannah 7 x 8 = £56
Answer:
The volume of the solution with 20% acid is 27 gallons and the one with 10% acid is 18 gallons
Step-by-step explanation:
Myra needs to mix "x" gallons of the solution with 20% and "y" gallons of the solution with 10%. The volume of the final solution must be 45 gallons, therefore:
x + y = 45
The concentration of acid of the final solution is:
0.2*x + 0.1*y = 45*0.16
0.2*x + 0.1*y = 7.2
Therefore we have a system of equation:
x + y = 45
0.2*x + 0.1*y = 7.2
We need to multiply the first equation by -0.1:
-0.1*x -0.1*y = -4.5
0.2*x + 0.1*y = 7.2
We now sum both equation:
0.1*x = 2.7
x = 2.7/0.1 = 27 gallons
y = 45 - 27 = 18 gallons