Answer:
100 Candy Bars
Step-by-step explanation:
Hey!
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Ayden wants to sell a total of $150 worth of candy bars for his school fundraiser. Each candy bar costs $1.50. How many candy bars will he have to sell in order to meet his goal?
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We can create an algebraic Equation to solve this.
<u>- We know that Each Candy Bar costs $1.50.</u>
<u>-We multiply the Amount of Candy Bars with the price. </u>
<u>-We know the profit should be $150</u>
⇒ 1.50x = 150
-<u>Divide</u> by 1.50 on both sides
⇒ 1.50x/1.50 = 150/1.50
-<u>Simplify</u>
⇒ x = 100
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<em>Hope I Helped, Feel free to ask any questions to clarify :)
</em>
<em>
Have a great day!
</em>
<em>
More Love, More Peace, Less Hate.
</em>
<em> -Aadi x</em>
Answer:
Step-by-step explanation:
The given relation is
To make 
the subject, we square both sides of the equation to get;
Isolate on one side of the equation;
Or
We take the positive square root of both sides to get;
Answer:
Please check the explanation.
Step-by-step explanation:
Given
a)
f(x) + g(x) = (2x - 1) + (2 - x)
= 2x -1 + 2 - x
= x + 1
b)
f(x) - g(x) = (2x - 1) - (2 - x)
= 2x - 1 - 2 + x
= 3x - 3
c)
g(-5) - f(-5)
Putting x = -5 in g(x) = 2 - x
g(x) = 2 - x
g(-5) = 2 - (-5) = 2+5 = 7
Putting x = -5 in f(x) = 2x - 1
f(x) = 2x - 1
f(-5) = 2(-5) - 1
= -10 - 1
= -11
Thus,
g(-5) - f(-5) = 7 - (-11) = 7+11 = 18
d)
f(x).g(x) = (2x - 1) (2 - x) = -2x² + 5x - 2
e)
f(g(x)) = f(2-x)
= 2(2-x)-1
= 4-2x-1
= 3-2x
Answer:
8 and -2
Step-by-step explanation:
Let the numbers be l and s.
We have equations:
l = 5s + 18
3l + 4s = 16
Solve for s by substituting l into the second equation:
3(5s + 18) + 4s = 16
15s + 54 + 4s = 16
19s = 16 - 54
19s = -38
s = -38/19
s = -2
Find the value of l:
l = 5(-2) + 18
l = -10 + 18
l = 8
Answer:
9.233 ft, 23.233 ft
Step-by-step explanation:
If the shorter leg is x, then the longer leg is x+14 and the Pythagorean theorem tells you ...
x^2 + (x +14)^2 = 25^2
2x^2 +28x +196 = 625
x^2 +14x = 214.5
x^2 +14x +49 = 263.5
(x +7)^2 = 263.5
x = -7 +√263.5 ≈ 9.23268
The two leg lengths are √263.5 ± 7 feet, {9.23 ft, 23.23 ft}.
