Answer:
D = 4, Z = 24
Step-by-step explanation:
6D+3Z = 96
5D+4Z = 116
multiply top by 5 and bottom by -6
top equation = 30D+15Z = 480
bottom equation = -30D-24Z = -696
Cancel 30D and -30 D
top equation = 15Z = 480
Bottom equation = -24Z = -696
15Z - 24 Z = 480 - 696
-9Z = 216
Z = 216/9
Z = 24
Now that we have the value of Z, we can substitute it in any equation to find D
6D + 3(24) = 96
6D + 72 = 96
6D = 96 - 72
6D = 24
D = 24/6
D = 4
Answer:
The answer to your question is x = 3; y = 3
Step-by-step explanation:
Data
angle = 45°
Opposite side = x
Adjacent side = y
hypotenuse = 3√2
To solve this problem, use trigonometric functions.
1) To find x, use the trigonometric function sine.
sin Ф = Opposite side / hypotenuse
-Solve for Opposite side (x)
Opposite side = hypotenuse x sin Ф
-Substitution
Opposite side = 3√2 sin 45
-Simplification
Opposite side = 3√2 (1 / √2)
Opposite side = 3(1)
-Result
x = 3
2) To find y use the trigonometric function cosine
cos Ф = Adjacent side / hypotenuse
-Solve for Adjacent side
Adjacent side = hypotenuse x cos Ф
-Substitution
Adjacent side = 3√2 x cos 45
-Simplification
Adjacent side = 3√2 x (1/√2)
Adjacent side = 3(1)
-Result
y = 3
Let's take this one at a time starting from the brother's net income because this would be the root basis. We let x be the number of lawns his brother and Tom mowed.
Brother's Net Income = 32x - 12x = 20x
Mitch promises to pay the borrowed money of $500 plus 40% of what his brother earns. The algebraic equation for this is:
Mitch's payment = $500 + 0.4(20x) = $500 +$8x
<span>Cora, her sister, and four friends = 6 people
120 / 6 = 20
Answer: Each person will get 20 candies</span>
Take out the division by bring 5 to the other side. (5x5). then bring the 3 over (-3 turns into +3). then divide by 2 to isolate n. final answer 14.
2n-3= 5x5
2n-3=25
2n=25+3
2n=28
n= 28÷2
n=14
