Answer:
12 1/4
Step-by-step explanation:
common denominator between 8 and 2 is 4, adding those up will be 12.25 in decimal form or 12 1/4
Answer:
x² + 2x + [3\x - 1]
Step-by-step explanation:
Since the divisor is in the form of <em>x - c</em>, use what is called <em>Synthetic Division</em>. Remember, in this formula, -c gives you the OPPOSITE terms of what they really are, so do not forget it. Anyway, here is how it is done:
1| 1 1 -2 3
↓ 1 2 0
------------------
1 2 0 3 → x² + 2x + [3\x - 1]
You start by placing the <em>c</em> in the top left corner, then list all the coefficients of your dividend [x² + 5x - 36]. You bring down the original term closest to <em>c</em> then begin your multiplication. Now depending on what symbol your result is tells you whether the next step is to subtract or add, then you continue this process starting with multiplication all the way up until you reach the end. Now, when the last term is 0, that means you have no remainder, which in this case is a 3, so what you is set the divisor underneath the remainder of 3. Finally, your quotient is one degree less than your dividend, so that 1 in your quotient can be an x², 2 becomes <em>2x</em><em>,</em><em> </em>and the remainder of 3 is set over the divisor, giving you the other factor of <em>x² + 2x + [3\x - 1]</em>.
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Answer:
x = 19
Step-by-step explanation:
148 and 7x+15 are alternate interior angles and alternate interior angles are equal when the lines are parallel
148 = 7x+15
Subtract 15 from each side
148-15 = 7x+15-15
133 =7x
Divide each side by 7
133/7 =7x/7
19=x
-15/8.....................
B. The total area painted is 864; they must buy two cans of paint.
Step-by-step explanation:
Step 1:
A rectangle's area can be calculated by multiplying its length and its width. The wall is made up of 5 different types of rectangular walls. All walls are 8 feet tall but the length varies.
Step 2:
The area of the 20 feet long wall =
The area of the 10 feet long wall =
The area of the 5 feet long wall =
The area of the 4 feet long wall =
The area of the 15 feet long wall =
The area of all the walls = 432 square feet.
Since there are two sides for every wall, total area = square feet.
Step 3:
If one paint can covers 500 square feet,
the number of cans required to paint 864 square feet = cans.
so 2 paint cans are needed to paint 864 square feet which is option B.