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BlackZzzverrR [31]
2 years ago
8

Please someone help me with question number 2

Mathematics
1 answer:
Maru [420]2 years ago
3 0

Answer:

75

Step-by-step explanation:

Just make the number of regular gasoline sold to be x, while the number of premium gasoline sold to be (550-x).

That's all.

And goodluck.

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Identify the constant of<br> proportionality (k)<br> 8Y = 16x<br> k=
RUDIKE [14]

Answer:

JUST WRITE THIS AS YOUR ANSWER

Step-by-step explanation:

Step 1: Put together the general equation.

Step 2: Solve for the constant of proportionality.

Step 3: Plugging the constant into the equation, solve for the unknown variable.

Let's solve a few problems to see how this works, shall we?

Example 1: Y is directly proportional to x. When x = 5, y = 8. What does y equal when x = 9?

First, we set up our general equation. Because y is directly proportional to x, we have:

y = cx

where c is the constant of proportionality. In other words, when x goes up, y goes up, and when x goes down, y goes down.

The next thing we do is plug our values for x and y into the equation so we can solve for c:

8 = (c)(5)

Solving for c, we get c = 8/5 = 1.6 and we plug this into our equation:

y = 1.6x

Now, we can plug x = 9 into the equation to find out what y equals:

y = (1.6)(9)

y = 14.4

So, our answer is 14.4

Example 2: Y is directly proportional to the square of x. When x = 2, y = 32. What does y equal when x = 5?

This time, our general equation is slightly more complicated because x is squared:

y = cx2

Like before, we solve for our constant:

32 = (c)(22)

32 = (c)(4)

We get c = 8:

y = 8x2

Solving for y when x = 5, we get y = (8)(52) = (8)(25) = 200

Example 3: Y is inversely proportional to x. When x = 2, y = 8. What does y equal when x = 24?

This time, because y is inversely proportional to x, our general equation is different:

xy = c

so when x goes up, y goes down, and vise versa. But, other than that, we solve these kinds of problems the same way as direct proportion problems. Solving for the constant, we get:

(2)(8) = c

So c = 16 and our equation is now:

xy = 16

Solving for y when x = 24 we get y = 16/24 = 2/3

Example 4: Y is inversely proportional to the square root of x. When x = 36, y = 2. What does y equal when x = 64?

As before, we set up our equation:

eq001

Since the square root of 36 is 6, it is easy to solve for c:

(6)(2) = c

We get c = 12 and our equation is now:

eq002

Solving for y when x = 64 we get 8y = 12 or y = 12/8 = 1.5 because the square root of 64 is 8.

6 0
2 years ago
Helen determined she walks about 1,800 steps per 4/5 mile. How many steps did she take if she walked 3 miles?
olga_2 [115]
1,800\ steps\ \ \rightarrow\ \  \frac{4}{5} \ mile\\ x\ \ \rightarrow\ \ 3\ miles\\ \\\frac{4}{5} \cdot x=1,800\cdot 3\ /\cdot\frac{5}{4} \\ \\x=1,800\cdot\frac{5}{4}\cdot3 \\ \\x=450\cdot15\\ \\x=6750\ [steps]
3 0
2 years ago
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Solve the equation:<br> - 6n = 2 3/4
Elena-2011 [213]

Answer:

n= 11/24

Step-by-step explanation:

hope it helps

3 0
2 years ago
Solve for
lakkis [162]

Answer:

x

=

13

+

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=

19

Step-by-step explanation:

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4 0
2 years ago
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URGENT PLEASE HELP ME!!
Andrews [41]

Answer:

D  2400 ft^2

Step-by-step explanation:

His joumey maps out a right angles triangle with base 80 and height 60.

The required area = 1/2 * 80 * 60

= 2400 ft^2

4 0
2 years ago
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