Monica bought 2 drinks and 3 bags of popcorn for $22. Her dad bought 4 drinks for $20. How much is each drink and bag of popcorn? One equation looks like:2x + 3y = 22
Find the other equation and solve the system.

Answer:

The salespeople earn for the sale of a suit = $13.

The salespeople earn for the sale of a pair of shoes = $8.

Step-by-step explanation:

Let x be the commission for each suit and y be commission for each pair of shoes.

We have been given that for selling 3 suits and one pair of shoes, Carla has earned $47 in commission. We can represent this information as:

We are also told that for selling 7 suits and 2 pairs of shoes, Benicio has earned $107 in commission. We can represent this information as:

We will use substitution method to solve our system of linear equations. From equation (1) we will get,

Substituting this value in equation (2) we will get,

Upon combining like terms we will get,

Therefore, the salespeople earn $13 for the sale of a suit.

Let us substitute x=13 in equation (1).

Therefore, the salespeople earn $8 for the sale of a pair of shoes.

Final answer:

The salespeople earn $13 for the sale of a suit and $8 for the sale of a pair of shoes.

Explanation:

To find out how much the salespeople earn for the sale of a suit and a pair of shoes, we can set up a system of equations using the given information. Let's denote the commission for a suit as 's' and the commission for a pair of shoes as 'p'. From the information given, we can write the following equations:

3s + p = 47

7s + 2p = 107

To solve this system of equations, we can use the method of substitution or elimination. Let's use the substitution method:

From the first equation, we can solve for p in terms of s:

p = 47 - 3s

Substituting this expression for p into the second equation:

7s + 2(47 - 3s) = 107

Simplifying this equation:

7s + 94 - 6s = 107

s + 94 = 107

s = 13

Now that we know the commission for a suit is $13, we can substitute this value back into the first equation to find the commission for a pair of shoes:

3(13) + p = 47

39 + p = 47

p = 8

Therefore, the salespeople earn $13 for the sale of a suit and $8 for the sale of a pair of shoes.

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Yes, there are enough computers 992 to be distributed to 90 schools.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that a county has 90 schools. The county received 992 new computers.

The required computers for 90 schools will be calculated as,

Computer required = 90 x 11

Computer required = 990

Available compters = 992

Remaining = 992 - 990 = 2 computers

Therefore, there are enough computers 992 to be distributed to 90 schools.

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Answer:

there will be enough for each school to get 11 computers

Step-by-step explanation:

use a calculator and put in 992 divided by 11. your answer should appear as 90.1818182

Final answer:

Reflections in geometry involve flipping a shape over a line. This concept is seen in the real world during instances like mirror images, light reflected off smooth surfaces, and reflections on water bodies.

Explanation:

In the field of geometry, a reflection is the flipping of a shape over a line, often referred to as the mirror line. Reflections are a common occurrence in our everyday real world.

• One of the most common instances of reflection in the real world is a mirror image. When you look at yourself in a mirror, the image you see is a mirrored or reflected image of yourself.
• Similarly, the reflection of light off a smooth surface, like a glass window or shiny car, is another common real-world reflection we see daily.
• Additionally, the reflections seen on bodies of water, such as lakes or even dewdrops on a blade of grass, are examples of reflection in nature.

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The solution for the number is 36.

Used the concept of the percentage that states,

To Calculate the percent of a number, divide the number by the whole number and multiply by 100.

Let us assume that a number x that satisfies 25% of x is 9.

Hence it can be written as,

Solve for x,

Therefore, the solution is 36.

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Answer: 36

Step-by-step explanation:

Let the number be x

Thus we can write:

Thus 25% of 36 is 9.