Answer:
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The equation is : C=250t +125 where C is the cost and t represent the number of tickets purchased.
Step-by-step explanation:
Let the cost of premium seat ticket be C
Let the number of tickets a fan buys to be t
Then, presenting the information as ordered pairs of coordinates (x,y) will be;
Fan 1, (3,875)
Fan 2, (8,2125)
Plot the ordered pairs as coordinates on a graph tool, find the slope of the linear graph and equation in slope intercept form as;
m=Δy/Δx
m=2125-875/8-3
m=1250/5
m=250
Equation of the graph,
Δy/Δx=250
y-875/x-3 =250
y-875=250(x-3)
y-875=250x-750
y=250x-750+875
y=250x+125
C=250t +125 where C is the cost and t represent the number of tickets purchased
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Slope-intercept form equation: brainly.com/question/11016508
Keyword : slope-intercept form,cost
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The answer, in short, is that the short leg equals 15 mm, the long leg equals 20 mm, and the hypotenuse equals 25mm. but if you'd like to see how I solved it, here are the steps.
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The Pythagorean theorem (also known as Pythagoras's Theorem) can be used to solve this. This theorem states that one leg or a right triangle squared plus the other side of that same triangle squared equals the hypotenuse of that triangle squared. To put it in equation form, L² + L² = H².
Let's call the longer leg B, the shorter leg A, and the hypotenuse H.
From the question, we know that A = B - 5, and H = B + 5.
So if we put those values into an equation, we have (B - 5)² + B² = (B + 5)²
Now, to solve. Let's square the two terms in parentheses first:
(B² - 5B - 5B + 25) + B² = B² + 5B + 5B + 25
Now combine like terms:
2B² -10B + 25 = B² + 10B + 25
And now we simplify. Subtract 25 from each side:
2B² - 10B = B² + 10B
Subtract B² from each side:
B² - 10B = 10B
Add 10B to each side:
B² = 20B
And finally, divide each side by B:
B = 20
So that's the length of B. Now to find out A and H.
A = B - 5, so A = 15.
H = B + 5, so H = 25.
And your final answer is A = 15mm, B = 20mm, and H = 25mm
Answer:
The two numbers are -164 and -287
They could also be 164 and 287
Step-by-step explanation:
The ratio of 2 numbers 4/7
x/y = 4/7
Using cross products
7x =4y
Their difference is 123
x-y = 123
x = 123+y
Substituting in
7(123+y) =4y
Distribute
861 +7y = 4y
Subtract 7y from each side
861 +7y-7y = 4y-7y
861 = -3y
Divide each side by -3
861/-3 = -3y/-3
-287 = y
Now we need to find x
x = 123+y
x = 123+ -287
x = -164
The numbers could also be 164 and 287
The difference is 287-164 = 123
And the ratio is 164/287 = 4/7
4 times x minus 8 is the answer