Answer:
A = 28 units ^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh
The base is 14 and the height is 4
A = 1/2 (4) * 14
A = 28 units ^2
Answer:The value of x is 6.4
Step-by-step explanation:
5/8=4/x use cross product.
5x=32 divide both sides by 5
x = 6.4
The equation of this equation is 2x/31=22. First, multiply both sides by 31 to get 2x=682. Then, divide both side by two to get x=341, which is 341 home runs by the Yankees that season
Well since you already completed the table, a pattern would be that the left column is twice the amount of the right column ( 30x2=60, 35x2=75,etc.)
Suppose you add <em>x</em> oz of 10% alcohol to <em>y</em> oz of pure alcohol. Then the mixture has a total volume of <em>x</em> + <em>y</em> oz, and we want to end up with 16 oz so that
<em>x</em> + <em>y</em> = 16
For each oz of the solution 10% used, 0.1 oz of alcohol is contributed, and each oz of pure alcohol contributes 1 oz of alcohol. The mixture is supposed to have a concentration of 14%, which comes out to 0.14*16 = 2.24 oz of alcohol. Then
0.1<em> x</em> + 1 <em>y</em> = 2.24
Solve for <em>y</em> in both equations:
<em>y</em> = 16 - <em>x</em>
<em>y</em> = 2.24 - 0.1 <em>x</em>
Set them equal to one another and solve for <em>x</em>, then for <em>y</em>.
16 - <em>x</em> = 2.24 - 0.1 <em>x</em>
13.76 = 0.9 <em>x</em>
<em>x</em> = 13.76/0.9 ≈ 15.29
<em>y</em> = 16 - 15.29 ≈ 0.71
So you need about 15.29 oz of 10% alcohol and 0.71 oz of pure alcohol to get the desired mixture.
