Literal Equations<br><br> Solve for y<br><br> -2x + 5y<br> ———

Charlotte has 12 t shirts.one fourth of her t shirts are green. How many of charlottes t shirts are green?

ella [17]

3 T shirts. 12 divided by 4.

7 0

3 years ago

Line j has an equation of y - 8 = -2/3(x+5). Line K is perpendicular to line j and passes + through (-6, -2). What is the equati

riadik2000 [5.3K]

Answer:

y = $\frac{3}{2}$ x + 7

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y - 8 = - $\frac{2}{3}$ (x + 5) ← is in point- slope form

with m = - $\frac{2}{3}$

given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-\frac{2}{3} }$ = $\frac{3}{2}$

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept ) , then

y = $\frac{3}{2}$ x + c ← is the partial equation

to find c substitute (- 6, - 2 ) into the partial equation

- 2 = - 9 + c ⇒ c = - 2 + 9 = 7

y = $\frac{3}{2}$ x + 7 ← equation of line K

7 0

2 years ago

Miss milliman reserving a room at the hotel India for a trip to see a show at the Fox Theater Hotel India charge of $717 for a t

sammy [17]

717/3= 239

Divide 717 by 3 to get the price of one night.

4 0

3 years ago

please help!! Drag each pair of equations to show whether the system has no solution, one solution, or infinitely many solutions

Vanyuwa [196]

For the given system of equations, considering different systems are split by ;, we have that:

No solutions: 3y = x + 2, 9y = 3x + 7; y = 2x + 3, y = 2x + 5

One solution: 2y = 3x, -5y = -10x,; x = 6, y = 9.

Infinitely many solutions: y = 5x + 2, 3y = 15x + 6.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

It's equations can be written in the format:

Ax = b

Using the above format, we have that:

If A is different from zero, the system has one solution.

If A is zero and B is different of zero, the system has no solutions.

If both are zero, the system has infinite solutions.

At the first system, multiplying the first equation by -3 and adding with the second, we end up with:

0y = 0x + 2

0 = -2

Which is a false statement, hence it has no solutions.

At the second system, the equations are multiples, hence it has infinite solutions.

At the third system, the coefficients are not zero and are not multiples, and it has one solution.

In the fourth system, the one solution is already given.

At the fifth system, we have that:

2x + 3 = 2x + 5

0x = 2

Hence no solutions.

To learn more about system of equations, you can take a look at brainly.com/question/24342899

5 0

2 years ago

Question is shown below.

Andrei [34K]

ANSWER

D. 4 minutes 40 seconds

EXPLANATION

The given data set showing the number of seconds of each song the playlist is:

283,204,198,229,173,230,168,236,215,204

Let the length of the 11th song be x.

Because he wants the mean to be 3 minutes 40 seconds, which is equal to 220 seconds, we write and solve the following equation for x.

$\frac{283 + 204 + 198 + 229 + 173 + 230 + 168 + 236 + 215 + 204 + x}{11} = 220$

$\frac{2140 + x}{11} = 220$

$2140 + x = 2420$

$x = 2420 - 2140$

$x = 280$

We convert 280 seconds to minutes.

$\frac{280}{60} = 4 \frac{2}{3} = 4mins : 40 sec$

The correct choice is D

3 0

3 years ago

Literal Equations Solve for y -2x + 5y ———— =15 3