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3 years ago

What is the simplest form of the expression? PLEASE HELP.

Mathematics

1 answer:

ser-zykov [4K]3 years ago

6 0

Step-by-step explanation:

I hope it's correct... Ahhh... Now it's long enough to post

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The cost of attending an amusement park is $10 for children and $20 for adults. On a particular day, the attendance at the amuse

Lapatulllka [165]

Using a system of equations, it is found that 10,000 children attended the park that day.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

Variable c: Number of children in the park.

Variable a: Number of adults in the park.

The attendance at the amusement park is 30,000 attendees, hence:

c + a = 30,000, which is the first equation in matrix form.

Then:

a = 30,000 - c

The cost of attending an amusement park is $10 for children and $20 for adults. The total money earned by the park is $500,000, hence:

10c + 20a = 500,000, which is the second equation in matrix form.

Since a = 30,000 - c, we replace:

10c + 20a = 500,000

10c + 20(30000 - c) = 500,000

10c = 100,000

c = 10,000.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

8 0

2 years ago

Solve the following system: y=1 y=-6x-5

Mandarinka [93]

Answer:

x = -1

y = 1

Step-by-step explanation:

Since it gives you "y", plug in the number given into the equation:

y = -6x - 5

1 = -6x - 5

Then, add 5 to both sides:

1 = -6x - 5

+5 + 5

________

6 = -6x

Divide both sides by -6:

6 = -6x

-1 = x

So now you have, x = -1 and y = 1

4 0

3 years ago

Read 2 more answers

A company sells a mix of peanuts and cashews. For every 3 ounces of peanuts, there are 2 ounces of cashews. A batch has 60 ounce

shtirl [24]

Answer:

Proportion states that the two ratios or fraction are equal.

As per the given statement: For every 3 ounces of peanuts, there are 2 ounces of cashews. A batch has 60 ounces of peanuts.

Let x be the ounces of cashew will a batch have.

then by definition of proportion, we have;

$\frac{3}{2} = \frac{60}{x}$

By cross multiply we have;

$3x = 120$

Divide by 3 on both sides we get;

$x = 40$

therefore, 40 ounces of cashews will a batch have for every 60 ounces of peanuts.

3 0

3 years ago

Read 2 more answers

What is the expression that represents 16 and w it's for math and it's to do with algebraic

alexandr1967 [171]

The most common expressions involving 16 and w are:
16+w
16-w
16xw and
16/w
Hope this helps and answers your question

8 0

3 years ago

Show that (0, 0) is equidistant from (1, 2), (-1, -2) and (2, 1).

Len [333]

Step-by-step explanation:

1) if (0;0) if point A, (1;2) is point B; (-1;-2) is C, (2;1) is D, then

2) the vector AB is (1;2); vector AC is (-1;-2) and vector AD is (2;1), then

3) the length of AB, AC and AD are:

$|AB|=\sqrt{1^2+2^2}=\sqrt{5};$

$|AC|=\sqrt{(-1)^2+(-2)^2}=\sqrt{5};$

$|AD|=\sqrt{2^2+1^2}=\sqrt{5}.$

4) if the lengths above are equal, then it means that (0, 0) is equidistant from (1, 2), (-1, -2) and (2, 1).

3 0

2 years ago