Answer:
60 grams
Step-by-step explanation:
For these type of questions, we can equate the ratio with the actual amounts. We will let the quantity to find be an unknown variable, such as x. Then we equate the ratios, cross multiply, and use algebra to solve.
Let grams of zinc be "x", so we can write the ratios and actual amounts as:
Then we cross multiply and solve for x, what we want to find out. Shown below:
There are 60 grams of zinc.
Answer:
x = 14.7
Step-by-step explanation:
law of sines:
sin 20°/7 = sin 46°/x
x ·sin(20°) = 7 ·sin(46°)
x = 7 ·sin(46°) / sin(20°)
x = 14.722
The maximum value of P = x + 6y subject to the constraints is 9
<h3>How to determine the maximum value?</h3>
The objective function is given as:
P = x + 6y
The constraints are given as:
2x + 4y ≤ 10
x + 9y ≤ 12
x≥0 y≥0
Rewrite 2x + 4y ≤ 10 and x + 9y ≤ 12 as equations
2x + 4y = 10
x + 9y = 12
Divide 2x + 4y = 10 through by 2
x + 2y = 5
Subtract x + 2y = 5 from x + 9y = 12
x - x + 9y - 2y = 12 - 5
Evaluate the difference
7y = 7
Divide by 7
y = 1
Substitute y = 1 in x + 2y = 5
x + 2(1) = 5
Solve for x
x = 3
So, we have
(x, y) = (3, 1)
Substitute (x, y) = (3, 1) in P = x + 6y
P = 3 + 6 * 1
Evaluate
P = 9
Hence, the maximum value of P = x + 6y subject to the constraints is 9
Read more about objective function at:
brainly.com/question/16826001
#SPJ1
Let x represent the longest side. Then the perimeter is
.. x + (1/3)x +(x -11) = 73
.. (2 1/3)x = 84 . . . . . . . . . . collect terms, add 11
.. x = 84*(3/7) = 36
The sides are 36, 12, 25.
The second one, The fourth one, and the last one.
If p, the amount of people, is 12 then each person Will get 4 slices and there will be no slices left
If p, the amount of people, is 15, then each person will get 3 slices but there will be 3 slices left over
If p, the amount of people, is 16, then each person will get 3 slices of pizza with no leftovers.
