Answer:
338 tiles
Step-by-step explanation:
First, convert the measurements of the kitchen from feet to inches by multiplying each measurement by 12.
102 * 12 = 1224 18 * 12 = 216
Now multiply these answers together.
1224 * 216 = 264,384 square inches
Now find the area of the vinyl tiles.
28 * 28 = 784 square inches
Now find how many 784 square inch tiles are needed to cover a 264,384 square inch kitchen.
264,384 / 784 = 337.224
Since you can't buy part of a tile, round your answer up.
338 tiles
Answer:
- given
- addition property of equality
- addition property of equality
- division property of equality
- symmetric property of equality
Step-by-step explanation:
In step 2, -3x was added to both sides in accordance with the addition property of equality.
The same property lets you add 18 to both sides, as in step 3.
The division property of equality lets you divide both sides of the equation by 5. (Or, the multiplication property lets you multiply by 1/5.)
Swapping sides of the equal sign is allowed by the symmetric property of equality.
Answer: False
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Explanation:
I'll use x in place of p.
The original equation 10x^2-5x = -8 becomes 10x^2-5x+8 = 0 after moving everything to one side.
Compare this to ax^2+bx+c = 0
We have
Plug those three values into the discriminant formula below
d = b^2 - 4ac
d = (-5)^2 - 4(10)(8)
d = 25 - 40*8
d = 25 - 320
d = -295
The discriminant is negative, which means we have no real solutions. If your teacher has covered complex or imaginary numbers, then you would say that the quadratic has 2 complex roots. If your teacher hasn't covered this topic yet, then you'd simply say "no real solutions".
Either way, this quadratic doesn't have exactly one solution. That only occurs when d = 0. Therefore, the original statement is false.
Answer:
In number 1:
m = 10/3
b = 19
Step-by-step explanation:
To find the answers to these, simply look to the coefficient of x and the constant at the end of the equation. The number attached to x is always m (which is known as the slope). The number at the end is b (or the y-intercept).
