There are 28 students in first period and 56 students in sceond period and 74 students in third period
<em><u>Solution:</u></em>
Let the number of students in first period be "x"
Let the number of students in second period be "y"
Let the number of students in third period be "z"
<em><u>There are 158 students registered for American History classes.</u></em>
Therefore,
x + y + z = 158 ---------- eqn 1
<em><u>There are twice as many students registered in second period as first period</u></em>
number of students in second period = twice of number of students in first period
y = 2x ------- eqn 2
<em><u>There are 10 less than three times as many students in third period as in first period</u></em>
number of students in third period = 3 times number of students in first period - 10
z = 3x - 10 ------ eqn 3
<em><u>Substitute eqn 2 and eqn 3 in eqn 1</u></em>
x + 2x + 3x - 10 = 158
6x = 168
<h3>x = 28</h3>
<em><u>Substitute x = 28 in eqn 2</u></em>
y = 2(28)
<h3>y = 56</h3>
<em><u>Substitute x = 28 in eqn 3</u></em>
z = 3(28) - 10
z = 84 - 10
<h3>z = 74</h3>
Thus there are 28 students in first period and 56 students in sceond period and 74 students in third period
Answer:
950.40
Step-by-step explanation:
Answer: Pink choice: y= -6x -2
Step-by-step explanation:
In order to be parallel, the slope must be the same. You find the slope as the number or fraction connected to x. <em>("co-efficient" of x in math talk)</em>
In the given equation, that is -6. (So that knocks out the first two choices)
The other thing to look at is the y-value of the given coordinate,(-1,4)
<em>(The y-value is the second number in the coordinate (x.y) is the pattern)</em>
and compare it to the the last number in the equations in the choices and Here the Yellow choice has y= -6x + 4 so this line can't pass through the coordinate given, because +4 in this equation is where the line crosses the y-axis. ("y-intercept" in math talk) So yellow choice is out!
The attachment shows what the graphs of the choices look like.
The black line is the correct answer. The given coordinate (-1,4) is the labeled red spot. The blue line is the given equation. (You can see where it "intercepts the y-axis on the +3) And the green line also has the -6 slope, but misses the point and intercepts the y-axis at 4.)
I hope the diagram and explanation helps you understand better. It can be confusing.
It’s not 3 or 4 so I think 2
Answer:
x = 4
Step-by-step explanation:
35/60 = (5x+1+35)/96
3,360 = 60(5x+36)
56 = 5x+36
20 = 5x
x = 4