Answer:
The answer is
±
in exact form or
,
in decimal form.
Step-by-step explanation:
To solve this problem, start by moving all terms to the left side of the equation and simplify. Simplify the equation by subtracting 12 from both sides of the equation and squaring
, which will look like
. Next, simplify the equation again, which will look like
.
Then, use the quadratic formula to find the solutions. The quadratic formula looks like
.
For this problem, the quadratic variables are as follows:



The next step is to substitute the values
,
, and
into the quadratic formula and solve. The quadratic formula will look like
. To simplify the equation, start by simplifying the numerator, which will look like
. Then, multiply 2 by 1 and simplify the equation, which will look like
. The final answer is
±
in exact form. In decimal form, the final answer is
,
.
Answer:
Yards: 83.58
Feet: 250.75
Inches: 3009
Step-by-step explanation:
Yards: 1 yard = 36 inches
3009/36= 83.58
So if each yard is 36 inches and there are 83.58 sets of 36 inches in 3009 then that's how many yards you have.
Feet: 1 foot = 12 inches
3009/12= 250.75
Again, if each foot is 12 inches and there are 250.75 sets of 12 inches in 3009 then that's how many feet you have.
Inches: It's already in inches :)
I hope this isn't confusing and I could help!
Answer:
You will have 128 orange marbles
Step-by-step explanation:
Set this up as an equation
Variable x = number of orange marbles
3/8 = 48/x
Cross multiply
3 × x = 8 × 48
3x = 384
Divide both sides by 3 to isolate the variable
3x ÷ 3 = 384 ÷ 3
1x = 128
x = 128
128 orange marbles
Check work:
Substitute the variable x for the answer
3/8 = 48/128
Cross multiply
3 × 128 = 8 × 48
384 = 384
If the numbers equal, the answer is correct
Answer: 10609
Step-by-step explanation: Raise 103 to the power of 2
Answer:
1/ 112
Step-by-step explanation:
1-½ = ½ ( Mr. Daniel's leftover)
½×½= ¼ ( Mr. Richie)
½×¼= 1/8 ( Ms Laura)
½×1/8 = 1/16 ( Ms. Kimberly)
1/7 × 1/16 = 1/ 112 (the last turn)
so, Ms. Sarah eats 1/ 112 of a piece.