All categories

2 years ago

Solve for 2x-3y=5 for y

Mathematics

1 answer:

leonid [27]2 years ago

3 0

Answer:

Y = -5/3 + 2/3x

Step-by-step explanation:

subtract x to the other side

Then divide the equation by -3

You might be interested in

What is the common ratio of the geometric sequence 9, 72,576, ...

AysviL [449]

Answer:

Hello! The answer is 8 : 1

Step-by-step explanation:

9 x 8 = 72

72 x 8 = 576

There is a pattern here.

_AnnieTheDreamGirl, 3/9/2022

8 0

2 years ago

2. Carl needs 15 hours longer than Jennifer to paint a room. If they work together, they can complete the job in 4 hours. Explai

nasty-shy [4]

Answer:

Jennifer would complete the job on her own in 5 hours.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}$

$\Delta = b^{2} - 4ac$

Rates

The together rate is the sum of their separates rate.

We have that:

Jennifer takes x hours to complete the job on her own, so her rate is 1/x.

Carl needs 15 hours longer than Jennifer, that is, 15 + x hours, so his rate is 1/(15+x).

The together rate is 1/4. So

$\frac{1}{4} = \frac{1}{x} + \frac{1}{15+x}$

$\frac{1}{4} = \frac{15 + x + x}{x(15+x)}$

$\frac{1}{4} = \frac{15 + 2x}{x(15+x)}$

Applying cross multiplication.

$x^2 + 15x = 4(15 + 2x)$

$x^2 + 15x = 60 + 8x$

$x^2 + 7x - 60 = 0$

Quadratic equation with $a = 1, b = 7, c = -60$ . So

$\Delta = 7^{2} - 4*1*60 = 289$

$x_{1} = \frac{-7 + \sqrt{289}}{2} = 5$

$x_{2} = \frac{-7 - \sqrt{289}}{2} = -12$

Since the time to complete the job has to be a positive value.

Jennifer would complete the job on her own in 5 hours.

4 0

2 years ago

In a game of chance, the probability of winning a $50 is 40% and the probability of losing a $50 prize is 60%. what is the expec

melamori03 [73]

To calculate expected value,
We can add up the probability of all possible events.
The 2 possible events are either winning $50 or losing the prize, which is $ - 50
Expected value =
50 x 40 % + (-50) x 60%
= $-10
So the answer is $-10

4 0

2 years ago

To make lemonade, 2 cups of lemon juice are mixed with 7 cups of water.Describe and correct the error in proportion used to find

kumpel [21]

x/9 = 8/36 
x = 9 * 8/36 [multiplying each side by 9] 
x = 2 
 
x/90 = 4.4/12 
x = 90 * 4.4/12 [multiplying each side by 90] 
x = 33 

Both proportions should be expressed as lemon juice to water, or water to lemon juice. Either way would give a correct answer: 
2/7 = j/28 [lemon juice to water] 
8 = j [multiplying each side by 28] 

7/2 = 28/j [water to lemon juice] 
7j = 56 [multiplying each side by 2j] 
j = 8 [dividing each side by 7] 

The length proportion is 24 in to 32 ft. 
The actual house is 24 ft tall. 
Let x represent the doll house height, in inches. Then 
x/24 = 24/32 
x = 24 * 24/32 = 18 inches

3 0

3 years ago

What slope does a vertical line have

Anika [276]

The slope on a vertical line will be 0

5 0

3 years ago

Read 2 more answers