Answer:
- Plan: separate the variable term from the constant term; divide by the coefficient of the variable.
- Steps: add 4 to both sides; collect terms; divide both sides by 3.
Step-by-step explanation:
The first step is to look a the equation to see where the variable is in relation to the equal sign, and whether there are any constants on that same side of the equal sign.
Here, the variable terms are on the left, and there is a constant there, as well. The plan for solving the equation is to eliminate the constant that is on the same side of the equation as the variable, then divide by the coefficient of the variable. To find that coefficient, we need to collect terms. In summary, the plan is to ...
- add 4 to both sides of the equation
- collect terms
- divide by the coefficient of the variable (3)
Executing that plan, the steps are ...
-2x -4 +5x +4 = 8 +4 . . . . add 4
3x = 12 . . . . . . . . . . . . . . . collect terms
x = 4 . . . . . . . . . divide by 3
Answer: 108 pancakes
Step-by-step explanation:
if you make 20 pancakes with 1 and 2/3 of flour,
with 9 cups you will make
(20*9)/ 1 &2/3
1 2/3= 5/3 we enter the whole in the fraction
(180)/(5/3)= 180*3/5=108 pancakes
Answer:
The correct answer to the following question will be "70.56".
Step-by-step explanation:
The given values are:
Loan requires, PV = $100,000
Years = 20
Number of months, n = 240
Rate interest = 4.90000%
Monthly rate, r = 0.408333%
Monthly rental payment = $725
As we know,
![PV=PMT\times (\frac{1}{r})\times [1-[\frac{1}{(1+r)^n}]]](https://tex.z-dn.net/?f=PV%3DPMT%5Ctimes%20%28%5Cfrac%7B1%7D%7Br%7D%29%5Ctimes%20%5B1-%5B%5Cfrac%7B1%7D%7B%281%2Br%29%5En%7D%5D%5D)
On putting the values in the above formula, we get
⇒ ![100000=PMT\times (\frac{1}{0.004083333})\times [1-(\frac{1}{(1+0.004083333^{240})})]](https://tex.z-dn.net/?f=100000%3DPMT%5Ctimes%20%28%5Cfrac%7B1%7D%7B0.004083333%7D%29%5Ctimes%20%5B1-%28%5Cfrac%7B1%7D%7B%281%2B0.004083333%5E%7B240%7D%29%7D%29%5D)
⇒ 
⇒ 
⇒ 
Now,

On putting the values, we get
⇒ 
⇒ 
Answer:
Option 2: m∠1 = 147°, m∠2 = 80°, m∠3 = 148°
Step-by-step explanation:
Step 1: Consider triangle ABC from the picture attached below.
Lets find angle x
x + 47 + 33 = 180 (because all angles of a triangle are equal to 180°)
x = 100°
Angle x = Angle y = 100° (because vertically opposite angles are equal)
Step 2: Find angle 2
Angle 2 = 180 - angle x (because angle on a straight line is 180°)
Angle 2 = 180 - 100
Angle 2 = 80°
Step 3: Find angle z
48 + y + z = 180° (because all angles of a triangle are equal to 180°)
z = 32°
Angle 3 = 180 - angle z (because angle on a straight line is 180°)
Angle 3 = 180 - 32
Angle 3 = 148°
Step 4: Find angle 1
Angle 1 = 180 - 33 (because angle on a straight line is 180°)
Angle 1 = 147°
Therefore m∠1 = 147°, m∠2 = 80°, m∠3 = 148°
Option 2 is correct
!!
The answer is D.
|-4| < 4
4 < 4
|-1| < 0
1 < 0
|-6| = -6
6 = -6
|-14| > 10
14 > 10