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goblinko [34]
3 years ago
10

If the ratio y/x is the same for all related pairs of x and y, what does that mean

Mathematics
1 answer:
Verizon [17]3 years ago
4 0

Answer:

The same ratio indicates that there is a proportional relationship between y and x.

Step-by-step explanation:

We know when y varies directly with x, the equation is

y ∝ x

y=kx

k\:=\:\frac{y}{x}

Here,

k is the constant of proportionality.

The ratio y/x indicates that k is a constant of proportionality.

Thus, the same ratio indicates that there is a proportional relationship between y and x.

When x increases, y increases, and when y decreases, x also decreases.

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Kate has 48 softballs. She wants to divide them evenly among b softball bags. Which expression represents how many softballs she
SOVA2 [1]

Answer:

Softballs = (48/b)

Step-by-step explanation:

Given that,

Total number of softballs = 48

She wants to divide them evenly among b softball bags.

We need to find an expression that represents how many softballs she should put into each bag.

As it is dividing among b softball, it means we divide 48 and b. So,

s=\dfrac{48}{b}

Hence, the required expression is (48/b).

5 0
3 years ago
While playing a trivia game Adam answer eight questions correct in the first half and two questions correct in the second half i
ratelena [41]

Answer:

80 points

Step-by-step explanation:

First Half:                                    Second Half:                        Total Right Answers

8 questions right            +          2 questions right        =       10 questions right

10*8 points a piece = 80 points

3 0
3 years ago
The​ cost, in​ dollars, of producing x belts is given by Upper C (x )equals 970 plus 12 x minus 0.076 x squared. The​ revenue, i
umka21 [38]

Answer:

$68.44 for each additional belt

Step-by-step explanation:

The cost and revenue functions are:

C(x) = 970+12x - 0.076x^2\\R(x) =43x^{\frac{3}{4}}

The profit function, P(x), is given by subtracting the cost function from the revenue function.

P(x) = R(x) - C(x)\\P(x)=43x^{\frac{3}{4}}+0.076x^2-12x-970\\

The derivate of the profit function gives us the rate at which profit changes:

\frac{dP(x)}{dx} =P'(x)=32.25x^{\frac{-1}{4}}+0.152x-12\\

For x = 484, the rate of change is:

P'(484)=32.25*484^{\frac{-1}{4}}+0.152*484-12\\P'(484) = \$68.44/belt

Profit is increasing by $68.44 for each additional belt

3 0
3 years ago
What is the vertex of the function y= 4|X|+1
Dvinal [7]
Use this form to find the vertex
(H,K) (0,10)
7 0
3 years ago
What is the function graph if both the domain and range is (−∞, ∞)
velikii [3]

Answer:

(−∞, ∞) and (−∞, ∞)

Step-by-step explanation:

One example (of many) might be y = 2x.  The domain and range of this function are (−∞, ∞) and (−∞, ∞).

7 0
3 years ago
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