Answer:
10
Step-by-step explanation:
The y-intercept for each line is...
y=2x+7 (0, 7)
y=2x-3 (0, -3)
Note this is because...
y=mx+b
b represents the y-intercept
Using the distance formula...






Answer:
4
Step-by-step explanation:
Order of operations multiplication then subtraction so 5*6=30
34-30=4
Answer:
6 miles per hour
Step-by-step explanation:
speed = distance/time
speed = 1/2÷1/12 which is the same as
1/2 x 12/1 = 6
6 miles per hour.
or ou could change the 1/2 to become 0.5
and the 1/12 to become 0.083333333
and divide 0.5 ÷ 0.083333333 = 6.000000024
rounded to one decima place become 6.0
6 miles per hour
Answer:
<u>x= 4 2/3 </u><em><u>OR</u></em><u> 14/3 </u><em><u>OR</u></em><u> 4.6... –– 4 2/3 and 4.6... are the simplest form.</u>
Step-by-step explanation:
Your original equation is -192 = -6 (6x - 4):
1. -192 = -6 (6x - 4)
Use distributive property and multiply: -6 x 6x = -36x and -6 x -4 = 24:
2. -192 = -36x + 24
We now move the +24 onto the other side of the equation, -192. Add 24 onto -192 and since we're moving the 24 on the left side of the equation, 24 will removed, so -24 on the right side of the equation:
3. -192 + 24 = -36x + 24 - 24
Divide both sides of the equations by -36 to get "x" by itself:
4. -168 / -36 = -36x / -36
Simplify the fraction of 24/36 by 12:
5. 4 24/36 = 4 2/3 or 14/3 or 4.6... = x
<u>4 2/3, 14/3, 4.6... = x</u>
Answer:
<em>The number of students in the drama club is 7 and the number in the choir is 14</em>
Step-by-step explanation:
X = Number of students in choir club
Y = Number of students in drama club
<u>First equation:</u>
x + y = 21
<u></u>
<u>Since we know that there are 7 more students in the choir club than the drama club, that means:</u>
x + 7 = y
<u>A little trick that you can do to find y is this:</u>
21 students in the choir and drama club - 7
=> 14
Meaning that y is 14
<u>So lets go back into our second equation:</u>
x + 7 = 14
7 + 7 =14
x=7
<u>Plug both variables in:</u>
7 + 14 = 21
So that means that there are 7 students in the drama club and 14 students in the choir club.