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Ilya [14]
3 years ago
10

If y varies inversely as x. Using the coordinates (5, 3) and (x, 2.5), find the missing value x.

Mathematics
1 answer:
Rzqust [24]3 years ago
8 0

Answer:

(6, 2.5 )

Step-by-step explanation:

Given y varies inversely as x then the equation relating them is

y = \frac{k}{x} ← k is the constant of variation

To find k substitute the coordinate point (5, 3 ) into the equation, that is

3 = \frac{k}{5} ( multiply both sides by 5 )

15 = k

y = \frac{15}{x} ← equation of variation

Using (x, 2.5 ) with y = 2.5 , then

2.5 = \frac{15}{x} ( multiply both sides by x )

2.5x = 15 ( divide both sides by 2.5 )

x = 6

Thus point is (6, 2.5 )

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5 0
2 years ago
NEED HELP WITH PART B
Sergeu [11.5K]

Answer:

y = -20x + 100

Step-by-step explanation:

As per your requirement For Part B, the solution is

The equation in slope-intercept form to model the relations is below:-

To reach 2 points on the graph the line passes through

lets use p1(0, 100), p2(1, 80)

now we will compute the slope:

m = \frac{(y2 - y1)}{(x2 - x1)}

m = \frac{(80 - 100)}{(1 - 0)}

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6 0
4 years ago
Kyle spends an equal amount of money each day. After 4 days, he had 4/5 of his money left. After another 10 days he had $30 left
Elden [556K]
4 days spending equal amounts so if x is how much he spends per day and y is the original amount then 4x=1/5y bc he has 4/5 left meaning what he spent was 1/5 of the original and after 10 more days which was 14 total he spent all but 30 so the total minus 30 will be how much kyle spent so
14x=y-30 which is y=(14x+30) and substitute that in for y in 4x=1/5y so 4x=1/5 (14x+30)
20x=14x+30
6x=30
x=5 and plug that in either of the original equations 4(5)=1/5y
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4 0
3 years ago
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Jim is 3 times as old as his cousin Anthony the difference in their age is 18.How old is Jim?
IgorC [24]
Let's create expressions and equations to model this situation. Let Anthony's age be a.

"Jim is 3 times as old as his cousin, Anthony." Jim's age is 3a.
"The difference in their age is 18." 3a - a = 18

How old is Jim?

Let's solve the above equation for a to first find Anthony's age.

    3a - a = 18
    2a = 18
    a = 9

Remember, Jim's age is represented by the expression 3a. Substitute Anthony's age, 9, into the expression to find Jim's age.

    3a
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Answer:
Jim is 27 years old.
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3 years ago
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