Answer:
A. 3x + (x+8) = -22 - 2x
Step-by-step explanation:
Let the number equal x.
Set up the first half of the equation.
The sum of three times the number and 8 more than the number can be written as:
3x + (x+8)
Sum means that you add the components.
Set up the second half of the equation.
The difference between -22 and twice the number can be written as:
-22 - 2x
Difference means subtraction, and because -22 is written first, that is the number that you subtract <em>from</em>.
If you set the halves of the equation equal, you get:
3x + (x+8) = -22 - 2x
Therefore, the answer is A.
Answer:
4.5 sq. units.
Step-by-step explanation:
The given curve is 
⇒ 
...... (1)
This curve passes through (0,0) point.
Now, the straight line is y = 3x - 6 ....... (2)
Now, solving (1) and (2) we get,
⇒ (y - 3)(y + 2) = 0
⇒ y = 3 or y = -2
We will consider y = 3.
Now, y = 3x - 6 has zero at x = 2.
Therefor, the required are = 
= ![\sqrt{3} [{\frac{x^{\frac{3}{2} } }{\frac{3}{2} } }]^{3} _{0} - [\frac{3x^{2} }{2} - 6x ]^{3} _{2}](https://tex.z-dn.net/?f=%5Csqrt%7B3%7D%20%5B%7B%5Cfrac%7Bx%5E%7B%5Cfrac%7B3%7D%7B2%7D%20%7D%20%7D%7B%5Cfrac%7B3%7D%7B2%7D%20%7D%20%7D%5D%5E%7B3%7D%20_%7B0%7D%20-%20%5B%5Cfrac%7B3x%5E%7B2%7D%20%7D%7B2%7D%20-%206x%20%5D%5E%7B3%7D%20_%7B2%7D)
= ![[\frac{\sqrt{3}\times 2 \times 3^{\frac{3}{2} } }{3}] - [13.5 - 18 - 6 + 12]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B%5Csqrt%7B3%7D%5Ctimes%202%20%5Ctimes%203%5E%7B%5Cfrac%7B3%7D%7B2%7D%20%7D%20%20%7D%7B3%7D%5D%20-%20%5B13.5%20-%2018%20-%206%20%2B%2012%5D)
= 6 - 1.5
= 4.5 sq. units. (Answer)
1) How many 3/4 does it take to make 9/2?
Now look at this, 3/4 x 6 = 4 1/2. 4 1/2 is the same as 9/2
3/4 + 3/4 + 3/4 + 3/4 + 3/4 + 3/4 ---> takes 6, 3/4's to make 9/2
2) How many 3/4's go into 9/2?
This is the same question as the 1st one so the answer is 6 :)
3) 9/2 divided by 3/4 = ??
Use the KEEP< CHANGE< FLIP method, so it turns into I
I
I
I
9/2 x 4/3 < ------------------------------------- I
This is equal to 36/6 which is 6 :)
The answer is 6 for numbers 1, 2, and 3 :)
Answer: 348.8 miles on 16 gallons of gas
Step-by-step explanation:
Make the following proportion:
= 
Since the car consumes gas at the same rate and only the amount of gas is changed, these two fractions must be equivalent. If the rate at which the car consumes gas changes, it would be different.
Use basic algebraic skills and you should get 348.8 miles.
Answer:
148x
Step-by-step explanation:
12x^2 + 4x
144x + 4x
148x
I think this is correct? But hopefully this helped :)
