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3 years ago

Kamil and Sean share some money in the ratio 3:5. Sean gets $56 more than Kamil. How much do they get each?

1 answer:

3 0

Let Kamil get x. Therefore Sean would get (x + 56).

Kamil and Sean are in the ratio: 3:5

That means: x : (x + 56) = 3 : 5

x / (x + 56) = 3/5

5*x = 3*(x + 56)

5x = 3*x + 3*56

5x = 3x + 168

5x - 3x = 168

2x = 168

x = 168 / 2

x = 84

Therefore Kamil had, x = 84, and Sean had (x + 56) = 84 + 56 = 140

Kamil had $84 and Sean had $140

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2 years ago

Can somebody please help me with this problem please

Furkat [3]

Answer:

m = 3, n = 4

Step-by-step explanation:

Solve using the substitution process. First, start with the second equation:

2m + 2n = 14

Simplify. Divide 2 from all terms within the equation. What you do to one side, you do to the other:

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Plug in 7 - n for m in the first equation:

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(-35 + 5n) + 9n = 21

Simplify. Combine like terms:

-35 + (5n + 9n) = 21

-35 + 14n = 21

Isolate the variable, n. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. First, add 35 to both sides:

14n - 35 (+35) = 21 (+35)

14n = 21 + 35

14n = 56

Isolate the variable n. Divide 14 from both sides:

(14n)/14 = (56)/14

n = 56/14

n = 4

Plug in 4 to n in one of the equations, and solve for m.

2m + 2n = 14

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Isolate the variable, m. Do the opposite of PEMDAS. First, subtract 8 from both sides:

2m + 8 (-8) = 14 (-8)

2m = 14 - 8

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Divide 2 from both sides:

(2m)/2 = (6)/2

m = 6/2

m = 3

Your answers: m = 3, n = 4

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2 years ago

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A football is kicked into the air. The height of the football can be modeled by the equation

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Answer:

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Step-by-step explanation:

Given that,

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$h = -16x^2 + 16x$

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3 years ago

Calculate the average rate of change of f(x) = 1 x - x2 - 2 for 3 ≤ x ≤ 6. A) -163 18 B) -18 163 C) 163 18 D) 18 163

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To solve this we are going to use the average rate of change formula: $A(x)= \frac{f(b)-f(a)}{b-a}$
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$A(x)$ is the average rate of change of the function
$f(a)$ is the position function evaluated at $a$
$f(b)$ is the position function evaluated at $b$
$a$ is the first point in the interval
$b$ is the second point in the interval

We can infer for our problem that the first point is 3 and the second point is 6, so $a=3$ and $b=6$ . Lets replace those values in our formula:
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$A(x)= \frac{f(6)-f(3)}{6-3}$
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$A(x)= \frac{-24}{3}$
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We can conclude that the average rate of change of the function f(x) = 1 x - x2 - 2 for <span>3 ≤ x ≤ 6 is -8</span>

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