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Juli2301 [7.4K]
3 years ago
12

Answer the questions below in your own handwriting. Typed responses will not be accepted. When you are finished, scan/save this

assignment to your computer and upload it to the correct drop box by the due date for full credit. 1. In the Ratey the Cat animation, there is a guy who earns $10 PER lawn. Complete the table below that represents money earned PER lawn. Lawns Mowed Money Earned 1 2 3 5 o Tema CP URO​
Mathematics
1 answer:
Dmitry [639]3 years ago
5 0

Answer:

Lawns ---Earnings

1 ----------------- 10

2 ----------------- 20

3 ----------------- 30

5 ----------------- 50

Step-by-step explanation:

Given

Earnings = $10 per lawn

Required

Complete the table

Let y be the earnings for x number of lawns

Since he earns $10 per x lawns, then the expression is:

y = 10x

To complete the table, we have the following:

When x = 1

y = 10 * 1 = 10

When x = 2

y = 10 * 2 = 20

When x = 3

y = 10 * 3 = 30

When x = 5

y = 10 * 5 = 50

So, the complete table is:

Lawns ---Earnings

1 ----------------- 10

2 ----------------- 20

3 ----------------- 30

5 ----------------- 50

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.The conversion of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 s
Citrus2011 [14]

Answer:

The constant of variation is 1/9

The equation representing the direct variation is y/x= 1/9

Step-by-step explanation:

In direct variation, y/x=k denotes the equation, with k being the constant of variation. Here, y is the number of square yards and x is the number of square feet. Therefore, as we know that 27 square feet = 3 square yards, we can write one point (x₁, y₁) as (27 square feet, 3 square yards). Plugging x₁ and y₁ into our equation, we get

y/x = k

3 / 27 = k

(3/27) / (3/3) = 1/9* = k

Therefore, the constant of variation is 1/9

Next, as stated previously, y/x = k represents the equation of direct variation. Therefore, y / x = 1/9 as our equation

* because 3 is a factor of both 3 and 27, we can divide both the numerator and denominator by 3 to keep the fraction the same but also simplify it. One way to find the greatest common factor is to list the factors of each number and see the highest number that is a factor of both

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2 years ago
In the table below, y varies inversely as x. What is the missing value?
Minchanka [31]

Answer:

<h2>The value of y is <u>0.5</u>, so the answer is <u>C</u>.</h2>

Step-by-step explanation:

Find first the constant of variation.

Given: x = 3, y = 4

Find: k = ?

Formula:

y =  \frac{k}{x}

Solution:

y =  \frac{k}{x}  \\ 4 =  \frac{k}{3}  \\ 12 = k

Then, find the value of y in the third box.

Given: x = 24, k = 12

Find: y = ?

Formula:

y =  \frac{k}{x}

Solution:

y =  \frac{k}{x}  \\ y =   \frac{12}{24} \\ y =  \frac{1}{2} \\\boxed{y = 0.5}

6 0
2 years ago
Ed wants to buy a new video game system which costs $250. he has
BARSIC [14]

The required equation is <u>135 + 9x > 250</u>.

The number of lawns Ed must mow is assumed to be x.

The amount Ed charges for each lawn he mows is $9.

Thus, the total amount Ed earns by mowing x lawns = $9x.

The savings which Ed has is $135.

Thus, the total amount Ed will have to spend can be written as the expression, $(135 + 9x).

The cost of the video game is given to be $250.

We are asked to write an equation, that can be used to find the number of lawns Ed mow, that is x so that the amount Ed has will be more than the amount he needs to buy the video game.

This can be shown as the equation:

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or, 135 + 9x > 250.

Thus, the required equation is <u>135 + 9x > 250</u>.

Learn more about writing equations at

brainly.com/question/25235995

#SPJ1

3 0
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