All categories

2 years ago

How do I solve for y in this equation? 3xy-28=15x

Mathematics

1 answer:

Montano1993 [528]2 years ago

3 0

Answer:

x = 28/(3y -15)

Step-by-step explanation:

Put the x-terms on the same side of the equal sign and everything else on the other side. Divide by the coefficient of x.

3xy -28 = 15x . . . . . . given

-28 = 15x -3xy . . . . . subtract 3xy

-28 = x(15 -3y) . . . . . factor out x

-28/(15 -3y) = x . . . . . . divide by the coefficient of x

We prefer to have a positive sign where possible, so we can multiply this by -1/-1 to get ...

x = 28/(3y -15)

You might be interested in

Country A produces about four times the amount of diamonds in carats produced in country B. If the total produced in both countr

sveta [45]

Answer:

Country A produces 20,000,000 & Country B produces 5,000,000

Step-by-step explanation:

Let

amount of diamonds produced by country A be x

and

amount of diamonds produced by country B be y

Since, Country A produces 4 times that of Country B, we can write:

x = 4y

Also, both countries produces a total of 25,000,000 carats, so we can write:

x + y = 25,000,000

Now, we need to find x and y. Putting 1st equation into 2nd equation, we get equation in y. Then we solve for y:

x + y = 25,000,000

4y + y = 25,000,000

5y = 25,000,000

y = 25,000,000/5

y = 5,000,000

And now, x = 4y, so x = 4(5,000,000) = 20,000,000

So Country A produces 20,000,000 & Country B produces 5,000,000 diamond carats

7 0

2 years ago

Zara is serving a fresh pie.she starts by cutting the pie in half and then cuts each half into 4 equal pieces what fraction of t

gladu [14]

Answer:

$\boxed{\frac{1}{8}}$

Step-by-step explanation:

You are starting with ½ pie. Then you cut it into four pieces.

You want to evaluate ½ ÷ 4

Step 1. Treat the integer as a fraction

$\frac{1}{2}\div{\frac{4}{1}}$

Step 2. Invert the divisor and change divide to multiply

$\frac{1}{2}\times{\frac{1}{4}}$

Step 3. Multiply numerators and denominators

$\frac{1}{2}\times{\frac{1}{4}} = \mathbf{\frac{1}{8}}\\\\\text{Each piece is } \boxed{\mathbf{\frac{1}{8}}} \text{ of a whole pie.}$

5 0

2 years ago

Which number line models the expression 1/8-(-3/4)

RideAnS [48]

Answer:

$\frac{7}{8}$

Step-by-step explanation:

Given: $\frac{1}{8}-(\frac{-3}{4} )$

To find: number which represents the expression

Solution:

Integers refers to natural numbers, 0 together with negative of rational numbers.

A rational number is the number of the form $\frac{p}{q}$ where p and q are integers and $q\neq 0$ .

$\frac{1}{8}-(\frac{-3}{4} )=\frac{1}{8}+\frac{3}{4}\\ =\frac{1+6}{8}\\ =\frac{7}{8}$

So, $\frac{7}{8}$ represents $\frac{1}{8}-(\frac{-3}{4} )$

6 0

2 years ago

What are two reasons someone might purposely choose a HIGHER monthly payment?

Allisa [31]

To earn extra money a month

4 0

2 years ago

Read 2 more answers

Hannah and Corrine are playing a game by rolling two cubes, each numbered 1 through 6. If the sum of the numbers on the cubes is

Katarina [22]

Answer:

D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.

Step-by-step explanation:

To get a sum of 7 by rolling two cubes, we need to get one of the combinations from the list below:

1 on the first cube, 6 on the second cube

6 on the first cube, 1 on the second cube

2 on the first cube, 5 on the second cube

5 on the first cube, 2 on the second cube

3 on the first cube, 4 on the second cube

4 on the first cube, 3 on the second cube

Therefore, the correct answer option is D. Corrine is not correct because Hannah also wins if 6 is on the first cube and 1 is on the second, if 5 is on the first cube and 2 is on the second, and if 4 is on the first cube and 3 is on the second.

7 0

2 years ago