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sammy [17]
3 years ago
11

If y is directly proportional to x, and y = 5 when x = 2, what is the value of y when x = 6?

Mathematics
2 answers:
Korolek [52]3 years ago
3 0

it could be 2.2 because every 5 you get 2 so it would be 10 and 4 so when y=6 then x should be 2.2.

Anuta_ua [19.1K]3 years ago
3 0

Answer:

y = 15

Step-by-step explanation:

Given that y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportionality.

To find k use the condition y = 5 when x = 2

k = \frac{y}{x} = \frac{5}{2} = 2.5, thus

y = 2.5x ← equation of proportionality

When x = 6, then

y = 2.5 × 6 = 15

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I need help with coming up with equation
Natali5045456 [20]

Let's call a child's ticket c and an adult's ticket a. From this, we can say:

c + a = 116,

since 116 tickets are sold in total.


Now, we are going to need to find another equation (the problem asks us to solve a systems of equations). This time, we are not going to base the equation on ticket quantity, but rather ticket price. We know that an adult's ticket is $17,000, and a child's ticket is thus

\$17000 \cdot (1 - \dfrac{1}{4}) = \$12750.


Given these values, we can say:

17000a + 12750c = 1653250,

since each adult ticket a costs 17,000 and each child's ticket c costs 12,750, and these costs sum to 1,653,250.


Now, we have two equations:

17000a + 12750c = 1653250

c + a = 116


Let's solve:

17000a + 12750c = 1653250

a = 116 - c

  • Find a on its own, which will allow us to substitute it into the first equation

17000(116 - c) + 12750a = 1653250

  • Substitute in 116 - c for a

1972000 - 17000c + 12750c = 1653250

  • Apply the Distributive Property

1972000 - 4250c = 1653250

  • Combine like terms

4250c = 318750

  • Subtract 1972000 from both sides of the equation and multiply both sides by -1

c = 75


We have now found that 75 child's tickets were sold. Thus,

75 + a = 116 \Rightarrow a = 116 - 75 = 41,

41 adult tickets were sold as well.


In sum, 41 adult tickets were sold along with 75 child tickets.

6 0
3 years ago
One movie is 120 minutes long. Another is 100 minutes long.
steposvetlana [31]

Answer:

5:20pm

Step-by-step explanation:

120+100=320minutes

320/60=5hrs 20min

12+5:20= 17:20pm or 5:20pm

6 0
2 years ago
What does s equal <br>8s-(8+6s)=20
ad-work [718]
S equals 14. First, you need to do a distributive property for negative sign inside the parenthesis. Combine like terms, add 8 to the both sides and divide by 2.
5 0
3 years ago
What is the rate of change between (29,9) and (33,10)?
Tema [17]

Answer:

\frac{1}{4}

Step-by-step explanation:

The rate of change is a measure of the slope

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (29, 9) and (x₂, y₂ ) = (33, 10)

m = \frac{10-9}{33-29} = \frac{1}{4} ← rate of change

6 0
3 years ago
The circumference of a circle is 18.84 inches. what is the circle's radius
vivado [14]

Answer:

Circumference : 18.84 inches

Radius: 3 inches

6 0
2 years ago
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