Answer:
990
Step-by-step explanation:
M/J = 2/7
J = 3/4 L
L = M + 396
7M = 2J
J = 3.5M
3.5M = 3/4 L
L = 4/3(3.5M)
L = 14/3 M
14/3 M = M + 396
11/3 M = 396
M = 3/11 × 396
M = 108
L = M + 396
L = 108 + 396
L = 504
J = 3/4 L
J = 3/4 × 504
J = 378
M + L + J = 108 + 504 + 378 = 990
Answer:
They are perpendicular.
Step-by-step explanation:
When we convert the equation 6x-2y=-5 into y=mx+b form, it changes into y=3x-5/2. Since we know that perpendicular slopes are opposite reciprocal, the opposite reciprocal of -x/3 is 3. So, we know that these 2 slopes are perpendicular.
Answer:
Graph C
Step-by-step explanation:
Hi there!
The given linear equations are organized in slope-intercept form: 
where <em>m</em> is the slope of the line and <em>b</em> is the y-intercept, or the value of y when the line crosses the y-axis.
y = 2x + 4
Here, the <em>b</em> value is 4. Therefore, the y-intercept of this line is 4.
y = -3x - 2
Here, the <em>b</em> value is -2. Therefore, the y-intercept of this line is -2.
To identify the graph that models these equations, we just have to look for the graph where the lines cross the y-axis at 4 and -2.
The only graph that does this is graph C.
I hope this helps!
3[x+3(4x-5)]=15x-24; x+12x-15=5x-8 (divide both sides by 3); 8x=7 (move all the x's to one side), x=7/8
You would set this up as Part÷Whole=Percent÷100
Part=117
Whole= X
Percent=78
117÷X=78÷100
Set these up as fractions and cross multiply. You will get 117×100=78X
117×100=11,700
Divide both sides by 78 and you get x=150
There were 150 problems
