Solve the system of equations by adding. Check your answer.

Simplify this expression.<br> 2x/12(x + y)

Ymorist [56]

Answer: = 1 /6 x^2+ 1 /6 xy

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

George is helping the manager of the local produce market expand her business by distributing flyers

spin [16.1K]

Answer:

20 + 0.05x ≥ 65

Step-by-step explanation:

20 is by itself since thats what he earns extra per day.

Since he earns 0.05 per flyer, that means we are going to need a variable since we don't know how many flyers he passes. Let x be equal to that.

Since he wants to make at LEAST 65 we are going to use the greater than or equal to symbol since he doesn't want to make less than that.

20 + 0.05x ≥ 65

Best of Luck!

4 0

3 years ago

What is the mean median mode range of 3,14,7,12,4,9,16,4,8,20

gogolik [260]

First, order the number set from least to greatest:

3 , 4 , 4 , 7 , 8 , 9 , 12 , 14 , 16 , 20

Mean: You find the mean by combining all the terms, and dividing by the amount of the terms there are in the number set:

(3 + 4 + 4 + 7 + 8 + 9 + 12 + 14 + 16 + 20)/10

(97)/10 = 9.7

Mean: 9.7

Median: You find the median by first ordering the number set from least to greatest, and finding the middle number. Note that if there is a even number of numbers in the set, you find the mean with the two given median digits:

8 & 9 are the median numbers:

(8 + 9)/2 = (17)/2 = 8.5

Median: 8.5

Mode: The mode is the number(s) in the set that shows up the most:

Mode: 4 (shows up one more time than all other numbers)

Range: The range can be found by subtracting the least number from the greatest number in the number set:

Range: 20 - 3 = 17

Range: 17

~

5 0

2 years ago

A farmer fills his field proportionately with soybeans and corn. Last year he planted 200 acres of corn and 50 acres of soybeans

malfutka [58]

Answer:

Part A) Is a directly proportional

Part B) The constant of proportionality is $k=0.25$

Part C) The equation is $y=0.25x$

Part D) $62.5$ acres of soybeans

Step-by-step explanation:

Part A) Are the number of acres of corn and the number of acres of soybeans directly proportional or inversely proportional?

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$

Let

x-----> the number of acres of corn

y----> the number of acres of soybeans

so

$y/x=k$

if the number of acres of corn increases then the number of acres of soybeans increases

if the number of acres of corn decreases then the number of acres of soybeans decreases

therefore

The relationship is a directly proportional

Part B) What is the constant of proportionality?

we have that

For x=200, y=50

substitute

$y/x=k$

$k=50/200$

$k=0.25$

Part C) Let x equal the number of acres of corn and y equal the number of acres of soybeans. Write an equation to show this relationship.

The linear equation that represent the direct variation is equal to

$y/x=k$

we have

$k=0.25$

substitute

$y/x=0.25$

$y=0.25x$

Part D) How many acres of soybeans can the farmer plant this year if he plants 250 acres of corn?

For x=250

Find the value of y

substitute in the linear equation the value of x and solve for y

$y=0.25(250)=62.5$ -----> acres of soybeans

7 0

3 years ago

when you are dividing two decimals how can you check whether you have divided the decimals correctly?

Mice21 [21]

Dividing two decimals means that we need to make the following math operation:

$\frac{p}{q} \\ \\ where \ p \ and \ q \ are \ two \ decimals$

According to the following definition:

$If \ p \ and \ d \ are \ two \ real \ numbers \ (two \ decimals) \ it \ is \ true \ that:\\ \\ p=d\times q+r \\ \\ where:\\ \\ p:Dividend \\ d:Divisor \\q:Quotient \\ r:Reminder$

We can prove that our result is correct by multiplying the divisor by the quotient plus the reminder and verifying that this result matches the dividend. Also, we can use a calculator to prove that.

5 0

2 years ago

Read 2 more answers