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3 years ago

7

What is -3x+12y=24 in standard form

1 answer:

nalin [4]3 years ago

8 0

So standard form is Ax+By=C
Since the problem is already in that form you don’t need to switch it around however A has to be more than 0 (so positive). Divide the equation by -3 to get the answer x-4y=-8

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Maxim has been offered positions by two car companies. The first company pays a salary of $8000 plus a commission of $900 for ea

Kaylis [27]

Answer:

16 cars.

Step-by-step explanation:

Let x represent number of sold cars.

We have been that 1st company pays a salary of $8000 plus a commission of $900 for each car sold. We can represent this information in an expression as:

$900x+8000$

We are also told that second company pays a salary of $14400 plus a commission of $500 for each car sold. We can represent this information in an expression as:

$500x+14,400$

To find the number of cars sold, which will make the total pay the same, we will equate both expressions and solve for x as:

$900x+8000=500x+14,400$

$900x-500x+8000=500x-500x+14,400$

$400x+8000-8000=14,400-8000$

$400x=6,400$

$\frac{400x}{400}=\frac{6,400}{400}$

$x=16$

Therefore, 16 cars would need to be sold to make the total pay the same.

3 0

4 years ago

To frame two problems of linear equation in one variable of your choice and solve such that the result of the first problem shou

AVprozaik [17]

Answer:

$x + y = 79$ and

$x - y = 25$

$(x,y) = (52,27)$

Step-by-step explanation:

Let the variables be: x and y

The equations can be modelled as:

$x + y = 79$ and

$x - y = 25$

To solve for x and y, we have:

Make x the subject in $x - y = 25$

$x = 25 + y$

Substitute $x = 25 + y$ in $x + y = 79$

$25 + y + y = 79$

$25 + 2y = 79$

Collect like terms

$2y = 79 - 25$

$2y = 54$

Divide both sides by 2

$y = 27$

Substitute $y = 27$ in $x = 25 + y$

$x = 25 + 27$

$x = 52$

So, we have:

$(x,y) = (52,27)$

8 0

3 years ago

How much will 2 3/4 yards of fabric cost at $2.99 per yard

kipiarov [429]

2 3/4 * 2.99 =
11/4 * 2.99 =
32.89/4 =
8.22 <==

or
2 3/4 = 2.75
2.75 * 2.99 = 8.22

5 0

3 years ago

Read 2 more answers

Plzzzzzz help plz

Viefleur [7K]

Answer: (B) 7B + (36 * 4) = 184

<u>Step-by-step explanation:</u>

Let B represent the number of seats at each booth

Let T represent the number of seats at each table

Then 7B + 36T = Total seats

Given: T = 4, Total seats = 184

---> 7B + (36 * 4) = 184

4 0

3 years ago

There are 90 students in the sixth grade at Columbus Middle School, and 63 of those students participate in school sports.

Andrej [43]

Answer:

70% of the sixth graders participate in school sports

Step-by-step explanation:

63 ÷ 90 = 0.7 =70

round the decimal two places to the right

Hope this helps!!

3 0

3 years ago