Answer:
<u>8 hits</u>
Step-by-step explanation:
The ratio is :
- hits : times-at-bat = 4 : 9
Now, we have 18 times at bat.
Multiply both sides of the ratio with 2 :
- 4 x 2 hits : 9 x 2 times at bat
- <u>8 hits</u> : 18 times at bat
Harry should make <u>8 hits</u> in 18 times at bat.
<h3>
Answer:</h3>
<h3>
Step-by-step explanation:</h3>
We can let the variables A and B stand for the length in inches of fish A and fish B, respectively.
If we assume each person bought fish having a total length of 1 inch per gallon of aquarium, then we can write equations ...
... 3A +2B = 33 . . . . . total length of Marta's fish
... 3A +4B = 45 . . . . . total length of Hank's fish
Subtracting the first equation from the second, we get ...
... 2B = 12
... B = 6 . . . . . divide by 2
Using this value in the first equation, we have ...
... 3A + 2·6 = 33
... 3A = 21 . . . . . . . . subtract 12
... A = 7 . . . . . . . . . . divide by 3
Fish A is 7 inches long; fish B is 6 inches long.
Answer:
Step-by-step explanation:
The answer is 26
<h2>
Answer:</h2>
<u>x= 90°</u>.
<h2>
Step-by-step explanation:</h2>
<h3>1. Write the expression.</h3>
![4 + 2 sin(x)= 14-8 sin(x)](https://tex.z-dn.net/?f=4%20%2B%202%20sin%28x%29%3D%2014-8%20sin%28x%29)
<h3>2. Subtract "4" from both sides of the equation.</h3>
![-4+4 + 2 sin(x)= 14-8 sin(x)-4\\ \\2 sin(x)= 10-8 sin(x)](https://tex.z-dn.net/?f=-4%2B4%20%2B%202%20sin%28x%29%3D%2014-8%20sin%28x%29-4%5C%5C%20%5C%5C2%20sin%28x%29%3D%2010-8%20sin%28x%29)
<h3>3. Add "8sin(x)" to both sides of the equation.</h3>
![2 sin(x)+8 sin(x)= 10-8 sin(x)+8 sin(x)\\ \\10 sin(x)= 10](https://tex.z-dn.net/?f=2%20sin%28x%29%2B8%20sin%28x%29%3D%2010-8%20sin%28x%29%2B8%20sin%28x%29%5C%5C%20%5C%5C10%20sin%28x%29%3D%2010)
<h3>4. Divide both sides by 10.</h3>
![\frac{10 sin(x)}{10} = \frac{10}{10} \\ \\sin(x)=1](https://tex.z-dn.net/?f=%5Cfrac%7B10%20sin%28x%29%7D%7B10%7D%20%3D%20%5Cfrac%7B10%7D%7B10%7D%20%5C%5C%20%5C%5Csin%28x%29%3D1)
<h3>5. Apply the arcsin of sin^-1 to both sides of the equation.</h3>
![arcsin(sin(x))=arcsin(1)\\ \\x=90](https://tex.z-dn.net/?f=arcsin%28sin%28x%29%29%3Darcsin%281%29%5C%5C%20%5C%5Cx%3D90)
<h3>6. Conclude.</h3>
<u>x= 90°</u>.
If you plug in the x and y, you get
7(1)(3)
7 x 1 x 3 = 21, so the answer is 21