Answer:
20 sets
Step-by-step explanation:
320/16=20
He needs 320 ping pong balls, and he has 16, so divide the amount needed by the amount that comes in each containter.
Answer:
A regular 12-oz beer is about 5% alcohol. This works out to about 14.03 grams of alcohol per beer. If the driver drank two beers, how many grams of alcohol did he consume? <u>28.06 grams</u>
The driver weighs about 160 lbs. What is his body weight in kg? What is his body volume in mL? (1 lb = 0.45 kg) (1 kg = 1000 mL) <u>72.57 kg/72,560 mL</u>
For most males, 68 percent of the body is water. What is the volume of water in the driver’s body in mL? <u>49,350 mL</u>
Use the above information to calculate BAC. <u>0.0569%</u>
The measured BAC was 0.12%. Was the driver telling the truth about how much he drank? Calculate the difference between the two BAC percentages. <u>No. 0.0569% is different.</u>
If the driver had really consumed only two beers, would he have been arrested for DUI? Explain. <u>The driver would not have been arrested if he only had two beers. He more or less had more than two beers in his car when the police checked his car.</u>
Step-by-step explanation:
the underlined areas are your answers.
Answer:
A, C
Step-by-step explanation:
Actually, those questions require us to develop those equations to derive into trigonometrical equations so that we can unveil them or not. Doing it only two alternatives, the other ones will not result in Trigonometrical Identities.
Examining
A) True
Double angle 
B) False,
No further development towards a Trig Identity
C) True
Double Angle Sine Formula 
D) False No further development towards a Trig Identity
![[sin(x)-cos(x)]^{2} =1+sin(2x)\\ sin^{2} (x)-2sin(x)cos(x)+cos^{2}x=1+2sinxcosx\\ \\sin^{2} (x)+cos^{2}x=1+4sin(x)cos(x)](https://tex.z-dn.net/?f=%5Bsin%28x%29-cos%28x%29%5D%5E%7B2%7D%20%3D1%2Bsin%282x%29%5C%5C%20sin%5E%7B2%7D%20%28x%29-2sin%28x%29cos%28x%29%2Bcos%5E%7B2%7Dx%3D1%2B2sinxcosx%5C%5C%20%5C%5Csin%5E%7B2%7D%20%28x%29%2Bcos%5E%7B2%7Dx%3D1%2B4sin%28x%29cos%28x%29)
The answer for the graph would be C. While x is less than or equal to 0, there is the graph of -4x. While x is greater than x, there is the graph of -5 (horizontal line). Furthermore, the closed dot at the end of the -4x represents the less than or EQUAL TO. The dot at the end of the -5 is open because it is only true when x > 0.
The range (y-values where the graph exists) is [-5]∪[0, infinity)
I hope these help you
A)
<span>x3</span>=<span>x+4</span>Step 1: Simplify both sides of the equation.<span><span><span>13</span>x</span>=<span>x+4</span></span>Step 2: Subtract x from both sides.<span><span><span><span>13</span>x</span>−x</span>=<span><span>x+4</span>−x</span></span><span><span><span><span>−2</span>3</span>x</span>=4</span>Step 3: Multiply both sides by 3/(-2).<span><span><span>(<span>3<span>−2</span></span>)</span>*<span>(<span><span><span>−2</span>3</span>x</span>)</span></span>=<span><span>(<span>3<span>−2</span></span>)</span>*<span>(4)</span></span></span><span>x=<span>−6</span></span>Answer:<span>x=<span>−6</span></span>
B)
<span><span>m−3</span>=<span><span><span>45</span>m</span>−2</span></span>Step 1: Subtract 4/5m from both sides.<span><span><span>m−3</span>−<span><span>45</span>m</span></span>=<span><span><span><span>45</span>m</span>−2</span>−<span><span>45</span>m</span></span></span><span><span><span><span>15</span>m</span>−3</span>=<span>−2</span></span>Step 2: Add 3 to both sides.<span><span><span><span><span>15</span>m</span>−3</span>+3</span>=<span><span>−2</span>+3</span></span><span><span><span>15</span>m</span>=1</span>Step 3: Multiply both sides by 5.<span><span>5*<span>(<span><span>15</span>m</span>)</span></span>=<span><span>(5)</span>*<span>(1)</span></span></span><span>m=5</span>Answer:<span>m=5</span>
C)
<span><span><span>x5</span>−4</span>=<span>2−<span>2<span>(<span>x5</span>)</span></span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>x5</span>−4</span>=<span>2−<span>2<span>(<span>x5</span>)</span></span></span></span>
<span>Simplify: (Show steps)</span>
<span><span><span><span>15</span>x</span>−4</span>=<span><span><span><span>−2</span>5</span>x</span>+2</span></span>Step 2: Add 2/5x to both sides.<span><span><span><span><span>15</span>x</span>−4</span>+<span><span>25</span>x</span></span>=<span><span><span><span><span>−2</span>5</span>x</span>+2</span>+<span><span>25</span>x</span></span></span><span><span><span><span>35</span>x</span>−4</span>=2</span>Step 3: Add 4 to both sides.<span><span><span><span><span>35</span>x</span>−4</span>+4</span>=<span>2+4</span></span><span><span><span>35</span>x</span>=6</span>Step 4: Multiply both sides by 5/3.<span><span><span>(<span>53</span>)</span>*<span>(<span><span>35</span>x</span>)</span></span>=<span><span>(<span>53</span>)</span>*<span>(6)</span></span></span><span>x=10</span>Answer:<span>x=<span>10
D)
</span></span>
<span><span><span>12</span>+w</span>=<span>8−<span>3<span>(<span>w2</span>)</span></span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>12</span>+w</span>=<span>8−<span>3<span>(<span>w2</span>)</span></span></span></span>
<span>Simplify: (Show steps)</span>
<span><span>w+<span>12</span></span>=<span><span><span><span>−3</span>2</span>w</span>+8</span></span>Step 2: Add 3/2w to both sides.<span><span><span>w+<span>12</span></span>+<span><span>32</span>w</span></span>=<span><span><span><span><span>−3</span>2</span>w</span>+8</span>+<span><span>32</span>w</span></span></span><span><span><span><span>52</span>w</span>+<span>12</span></span>=8</span>Step 3: Subtract 1/2 from both sides.<span><span><span><span><span>52</span>w</span>+<span>12</span></span>−<span>12</span></span>=<span>8−<span>12</span></span></span><span><span><span>52</span>w</span>=<span>152</span></span>Step 4: Multiply both sides by 2/5.<span><span><span>(<span>25</span>)</span>*<span>(<span><span>52</span>w</span>)</span></span>=<span><span>(<span>25</span>)</span>*<span>(<span>152</span>)</span></span></span><span>w=3</span>Answer:<span>w=3</span>
