Answer:
I think your right :)
Step-by-step explanation:
Given:
Number of students = 35
Two out of every five boys in the club are boys.
To find:
The number of students in the club that are boys.
Solution:
Two out of every five boys in the club are boys. It means, the ratio of boys to the total number of student is 2:5.
Let the number of boys be 2x and number of students be 5x.
According to the question,


Now, the number of boys is


Therefore, 14 students in the club are boys.
So, both equations are essentially linear equations.
Linear equations are written in the format
y = mx+b, where
m represents the
slope/slope intercept and
b represents the
y-intercept.
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Part Athe slope and y-intercept
y = mx +b
m - the slope; b- y-intercept
therefore;
y = 6x - 4
m = 6; b = -4y = 5x - 3
m = 5; b = -3The coordinates of the point where the lines are crossed are the solution to the system of linear equations.
How to graph the lines:
y = 6x - 4
y-intercept (0; -4)
for x = 1 ⇒ y = 6 · 1 - 4 = 6 - 4 = 2 ⇒ (1; 2)
y = 5x - 3
y-intercept (0; -3)
for x=1 ⇒ y = 5 · 1 - 3 = 5 - 3 = 2 ⇒ (1; 2)
***look at the img for graph reference***Part B:
x = 1; y = 2
Answer:
The height h = 12.87 cm.
Step-by-step explanation:
Volume = pi r^2 h
647 = pi 4^2 h
h = 647 / 16pi
h = 12.87 cm.
Answer:
7w - 3(4w + 8) = 11
Distribute.
-5w-24=11 Combine like terms on the left side.
-5w=11%2B24 Add 24 to both sides.
-5w=35 Combine like terms on the right side.
w=%2835%29%2F%28-5%29 Divide both sides by -5 to isolate w.
w=-7 Reduce.