Answer:
x=-4
Step-by-step explanation:
First, write the expression and distribute.
-2(2x+11)=5x+14
-4x-22=5x+14
Add one of the variables to the other side (it makes solving a lot easier). I'll add 4x to both sides because it won't result in a negative x.
-4x-22=5x+14
<u>+4x +4x</u>
-22=9x+14
Now, subtract 14 on both sides.
-22=9x+14
<u>-14 -14</u>
-36=9x
Divide both sides by 9.
-36=9x
<u>/9 /9</u>
-4=x or x=-4 (they both mean the same thing)
Have a wonderful day! I hope this helped :3
It is reflecting across the x-axis
156 more miles.
My Work:
The Sister drove 5/4 of 156 miles. <u />The <u />"of" stands for multiplication. 5/4 * 156/1
<u />After we solve the equation, we learn that the Sister drove 195 miles, which would mean that the sister probably drove too far, leaving Nicole to drive back for them.
Because Nicole is driving the rest of the 195-156 miles, if we use the triangle sum method from elementary school, we can flip the answer to 195-156 with 156 and know that the Sister drove 156 more miles than Nicole without having to know how far Nicole drove.
Answer:
The indifference point is 140 minutes.
Step-by-step explanation:
Giving the following information:
Plan A costs $ 25 plus an additional $0.10 for each minute of calls.
Plan B costs $18 plus an additional $0.15 for each minute of calls.
<u>First, we need to establish the total cost formula for each plan:</u>
<u />
Plan A= 25 + 0.1*x
Plan B= 18 + 0.15*x
x= number of minutes
<u>Now, to calculate the indifference point, we equal both formulas and isolate x:</u>
25 + 0.1x = 18 + 0.15x
7 = 0.05x
140=x
The indifference point is 140 minutes.
<u>Prove:</u>
Plan A= 25 + 0.1*140= $39
Plan B= 18 + 0.15*140= $39
10 times
"The value of the digit in the hundredths place is 10 times as much as the value of the digit in the tenths place."
