Find the slope of the line parallel to the given line.<br> y= 2/5x+2

The cost of a ticket to the circus is $14.00 for children and $32.00 for adults. On a certain day, attendance at the circus was

Evgesh-ka [11]

400 children and 600 adults bought tickets.

Step-by-step explanation:

Given,

Cost of one child ticket = $14

Cost of one adult ticket = $32

Total attendance = 1000

Revenue generated = $24800

Let,

x be the number of children.

y be the number of adults.

According to given statement;

x+y=1000 Eqn 1

14x+32y=24800 Eqn 2

Multiplying Eqn 1 by 14

$14(x+y=1000)\\14x+14y=14000\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(14x+32y)-(14x+14y)=24800-14000\\14x+32y-14x-14y=10800\\18y=10800\\$

Dividing both sides by 18

$\frac{18y}{18}=\frac{10800}{18}\\y=600$

Putting y=800 in Eqn 1

$x+600=1000\\x=1000-600\\x=400$

400 children and 600 adults bought tickets.

Keywords: linear equations, subtraction

Learn more about subtraction at:

#LearnwithBrainly

8 0

2 years ago

Function and Reasoning:

Akimi4 [234]

The number of calories per ounce of soda is 10

<h3>Part A: Represent the relationship between the number of calories and the number of ounces</h3>

The given parameters are:

Calories = 50

Ounces = 5

Let the number of calories be y and the ounces be x.

So, we have:

y = kx

Substitute y = 50 and x = 5

50 = 5k

Divide by 5

k = 10

Substitute k = 10 in y = kx

y = 10x

See attachment for the graph of the relationship between the number of calories and the number of ounces

<h3>Part B: What is the number of calories per ounce of soda?</h3>

In (a), we have:

k = 10

This means that the number of calories per ounce of soda is 10

<h3>Part C: How does the unit rate relate to the slope of the line in the graph above? </h3>

The unit rate and the slope represent the same and they have the same value

Read more about linear graphs at:

brainly.com/question/4025726

#SPJ1

4 0

1 year ago

Scientists determined that Antarctica’s average winter temperature was −34.44°C. The difference between this temperature and Ant

noname [10]

Answer:

the answer is c -8388°C

7 0

3 years ago

Determine the line described by the given point and slope (0,0) and 2/3

AlekseyPX

Answer:

The line is $y=\frac{2}{3} x$ .

Step-by-step explanation:

Given:

Point and slope (0,0) and 2/3.

Now, to determine the line.

Here the point is:

$(x_{1},y_{1}) =(0,0)$

And the slope is:

$m=\frac{2}{3}$

Now, putting the formula and substituting the value from above to determine the line:

$y-y_{1} = m(x-x_{1})$

$y-0=\frac{2}{3}(x-0)$

$y=\frac{2}{3} x$

Therefore, the line is $y=\frac{2}{3} x$ .

4 0

3 years ago

Two cars which are 40 miles apart start moving simultaneously in the same direction with constant speeds. If the speed of the ca

IgorC [24]

Answer:

5mph

Step-by-step explanation:

Given that two cars are 40 miles apart at the beginning.

They started at the same time with speeds 48 mph and 56 mph respectively

Since both cars are travelling in the same direction,

Relative velocity = Speed of the behind car-Speed of the first car

=56-48 =8mph

To catch the I car, the second car has to travel a distance of 40 miles extra in the same time as the I car

i.e. speed to be made up by the second car = 40 miles

Relative velocity per hour = 8mph

Hence time taken to catch up = $\frac{40}{8} =5mph$

8 0

3 years ago

Find the slope of the line parallel to the given line. y= 2/5x+2