Answer: x + 12 = 3x + -22
12 + x = 3x + -22
Reorder the terms:
12 + x = -22 + 3x
Solving
12 + x = -22 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
12 + x + -3x = -22 + 3x + -3x
Combine like terms: x + -3x = -2x
12 + -2x = -22 + 3x + -3x
Combine like terms: 3x + -3x = 0
12 + -2x = -22 + 0
12 + -2x = -22
Add '-12' to each side of the equation.
12 + -12 + -2x = -22 + -12
Combine like terms: 12 + -12 = 0
0 + -2x = -22 + -12
-2x = -22 + -12
Combine like terms: -22 + -12 = -34
-2x = -34
Divide each side by '-2'.
x = 17
Simplifying
x = 17
Grade 7 got total 88 books
No. Of books given on Friday = 63
No. Of books on Tuesday =g
g = 88 - 63
g = 25
For this you'll want to draw out Triangle ABC and label it as the problem gives you.
Draw a similar triangle to the first one you drew and label it the exact same way as "ABC" and then match the measurement "AB" to "HJ".
Hope this helps.
725 is equal to (number of rows)*(number of seats per row)
r = s-4
725 = (s-4)s
s^2-4s-725 = 0
Factoring: (s-29)(s+25) = 0
Thus there are 29 seats per row, and 25 rows.
Answer:
There is a decrease of 0.75 sales per day
Step-by-step explanation:
Given:-
- The price of item = p
- The number of sales = x
- The relationship between "p" and "x" is given below:
4p+4x+2px=56
Find the rate at which x is changing when x=2, p=6, and dp/dt=1.5 The rate at which x is changing is [ ] sales per day
Take the time derivative (d/dt) of the entire given expression and apply chain rule on d/dt ( 2px ). Since both "p" and "x" are only functions of time "t":
d/dt
4p+4x+2px=56
4*dp/dt + 4*dx/dt + 2*(x*dp/dt + p*dx/dt)=0
Use the given values x=2, p=6, and dp/dt=1.5 to determine dx/dt
4*1.5 + 4*dx/dt + 2*(2*1.5+6*dx/dt)=0
6+4dx/dt + 2*(3+6dx/dt)=0
6+4dx/dt + 6+12dx/dt=0
12+16dx/dt=0
12=-16dx/dt
dx/dt= 12/-16
= -0.75
