All categories

2 years ago

3x * -2y= -100 Solve for y and x.

Mathematics

1 answer:

Sedbober [7]2 years ago

7 0

Answer:

x=50/3y

y=50/3x

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

You might be interested in

Write all the factors of 12

Aleksandr [31]

I know these are all the factors of 12
1,2,3,4,6,12

6 0

2 years ago

Two cars got an oil change at the same auto shop. The shop charges customers for each quart of oil plus a flat fee for labor. Th

dexar [7]

Answer:

The labor fee is $14.25, each quart of oil costs $2.25.

Step-by-step explanation:

Let $x be thee price of each quart of oil and $y be a flat fee for labor.

1. If the oil change for one car required 5 quarts of oil, then these 5 quarts cost $5x and together with a flat fee for labor it cost $25.50. Thus,

5x+y=25.50.

2. If the oil change for another car required 7 quarts of oil, then these 7 quarts cost $7x and together with a flat fee for labor it cost $30.00. Thus,

7x+y=30.00.

3. Subtract from the second equation the first one, then

$7x+y-(5x+y)=30.00-25.50,\\ \\7x+y-5x-y=4.50,\\ \\2x=4.50,\\ \\x=\$2.25.$

Substitute it into the first equation:

$5\cdot 2.25+y=25.50,\\ \\y=25.50-11.25,\\ \\y=\$14.25.$

The labor fee is $14.25, each quart of oil costs $2.25.

6 0

2 years ago

Two gardens are being fenced in. Both gardens will require the same amount of fencing (both gardens have the same perimeter in m

Naily [24]

Answer: We know:

the triangle gardern(garden A) and the square garden(garden B) have the same perimeter.

This may sound obv, but it's important: garden A has 1 less side then garden B, which is why it can have longer sides but the same perimeter.

So side A1 + side A2 + side A3 = side B1 + side B2 + side B3 + side B4.

A1 + A2 + A3 = B1 + B2 + B3 + 15(the extra length on the triangle sides)

Since B is a square, B = 15 m by 15 m.

I don't know enough about triangle to put the dementions, but it's an equilateral triangle so the sides are 20 m each. Hope that helps! :)

3 0

1 year ago

olya-2409 [2.1K]

The answer is: Perpendicular, because both equations intersects or cross over each other. There is an attached photo

4 0

2 years ago

Read 2 more answers

If function f is the parent exponential function f(x) =e^x what is the equation of transformed function g in terms of function f

Step2247 [10]

Answer:

a = 3

Step-by-step explanation:

<u>Find the y-intercept of f(x):</u>

f(0) = e^0 = 1

The y-intercept of g(x) is 3 as per graph.

<u>Solve for a:</u>

g(0) = a*f(0)
3 = a*1
a = 3

8 0

2 years ago

Read 2 more answers