Let's solve your equation step-by-step.
<span><span><span>4s</span>−<span>4<span>s2</span></span></span>=1
</span>Step 1: Simplify both sides of the equation.
<span><span><span>−<span>4<span>s2</span></span></span>+<span>4s</span></span>=1
</span>Step 2: Subtract 1 from both sides.
<span><span><span><span>−<span>4<span>s2</span></span></span>+<span>4s</span></span>−1</span>=<span>1−1
</span></span><span><span><span><span>−<span>4<span>s2</span></span></span>+<span>4s</span></span>−1</span>=0
</span>Step 3: Factor left side of equation.
<span><span><span>(<span><span>−<span>2s</span></span>+1</span>)</span><span>(<span><span>2s</span>−1</span>)</span></span>=0
</span>Step 4: Set factors equal to 0.
<span><span><span><span>−<span>2s</span></span>+1</span>=<span><span><span>0<span> or </span></span><span>2s</span></span>−1</span></span>=<span>0
s = 1/2</span></span>
The answer is 16. Spinning an even number and flipping tails
322 is 7/10 of all the students.
322 / 7 = 46
46 is 1/10 of all the students.
46 × 10 = 460
460 is 10/10 of all the students
There are 460 students in eighth grade.
Answer:
w = 10
Step-by-step explanation:
Solve for w:
w/4 + 8.25 = 10.75
Put each term in w/4 + 8.25 over the common denominator 4: w/4 + 8.25 = w/4 + 33/4:
w/4 + 33/4 = 10.75
w/4 + 33/4 = (w + 33)/4:
(w + 33)/4 = 10.75
Multiply both sides of (w + 33)/4 = 10.75 by 4:
(4 (w + 33))/4 = 4×10.75
(4 (w + 33))/4 = 4/4×(w + 33) = w + 33:
w + 33 = 4×10.75
4×10.75 = 43:
w + 33 = 43
Subtract 33 from both sides:
w + (33 - 33) = 43 - 33
33 - 33 = 0:
w = 43 - 33
43 - 33 = 10:
Answer: w = 10