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2 years ago

Math Solve the equation:-

Mathematics

1 answer:

Katena32 [7]2 years ago

3 0

Answer:

y = -27

Step-by-step explanation:

Multiply the entire equation by 6

$\sf 6*\dfrac{y+1}{3}-6*\dfrac{3y-1}{6}=6*5\\\\\\$

2*(y + 1) - (3y - 1 ) = 30

Multiply (y +1) by 2 and (3y - 1) by (-1)

2y + 2 - 3y + 1 = 30

Isolate y term by taking the constant term to RHS

2y - 3y = 30 - 2 - 1

Combine like terms

-y = 27

y = -27

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I need help on this aswell

Katena32 [7]

Answer:

Graph C

Step-by-step explanation:

Hi there!

The given linear equations are organized in slope-intercept form: $y=mx+b$ where m is the slope of the line and b is the y-intercept, or the value of y when the line crosses the y-axis.

y = 2x + 4

Here, the b value is 4. Therefore, the y-intercept of this line is 4.

y = -3x - 2

Here, the b value is -2. Therefore, the y-intercept of this line is -2.

To identify the graph that models these equations, we just have to look for the graph where the lines cross the y-axis at 4 and -2.

The only graph that does this is graph C.

I hope this helps!

8 0

2 years ago

What vaule of x makes th question true? 3x+2(x-5)=50 a. 8 b.9 c.11 d.12

Ainat [17]

Hey Tierra7l,

Lets solve your equation together step by step.

$3x+2\left(x-5\right)=50$

$\mathrm{Expand}\:2\left(x-5\right):\quad 2x-10$

$\mathrm{Distribute\:parentheses\:using}:\quad \:a\left(b+c\right)=ab+ac$

$a=2,\:b=x,\:c=-5$

$2\cdot \:x+2\left(-5\right)$

$\mathrm{Apply\:minus-plus\:rules}$

$\:\:+\left(-a\right)=-a$

$2x-2\cdot \:5$

$\mathrm{Multiply\:the\:numbers:}\:2\cdot \:5=10$

$2x-10$

$3x+2x-10=50$

$\mathrm{Add\:similar\:elements:}\:3x+2x=5x$

$5x-10=50$

$\mathrm{Add\:}10\mathrm{\:to\:both\:sides}$

$5x-10+10=50+10$

$\mathrm{Simplify}$

$5x=60$

$\mathrm{Divide\:both\:sides\:by\:}5$

$\dfrac{5x}{5}=\dfrac{60}{5}$

$\mathrm{Simplify}$

$x=12$

Hope this helps,

AnthrαX

4 0

3 years ago

What is the estimate of 215% of 18.

Vsevolod [243]

215% of 18
You must change 215% into a decimal by multiplying by 100 which is 2.15
Then you multiply them
2.15×18=38.7
Then you estimate to the nearest whole number
38.7⇒39
You answer is 38.7
Your answer is 39 estimated

5 0

3 years ago

Read 2 more answers

A certain region currently has wind farms capable of generating a total of 2200 megawatts (2.2 gigawatts) of power. Assuming win

sveta [45]

Answer:

The correct answer is A. 4,818'000,000 kilowatt-hours per year and B. 481,800 households.

Step-by-step explanation:

1. Let's review the information provided to us for solving the questions:

Power capacity of the wind farms = 2,200 Megawatts or 2.2 Gigawatts

2. Let's resolve the questions A and B:

Part A

Assuming wind farms typically generate 25% of their capacity, how much energy, in kilowatt-hours, can the region's wind farms generate in one year?

2,200 * 0.25 = 550 Megawatts

550 Megawatts = 550 * 1,000 Kilowatts = 550,000 Kilowatts

Now we calculate the amount of Kilowatts per hour, per day and per year:

550,000 Kw generated by the farms means that are capable of produce 550,000 kw per hour of energy

550,000 * 24 = 13'200,000 kilowatt-hours per day

13'200,000 * 365 = 4,818'000,000 kilowatt-hours per year

Part B

Given that the average household in the region uses about 10,000 kilowatt-hours of energy each year, how many households can be powered by these wind farms?

For calculating the amount of households we divide the total amount of energy the wind farms can generate (4,818'000,000 kilowatt-hours) and we divide it by the average household consumption (10,000 kilowatt-hours)

Amount of households = 4,818'000,000/10,000 = 481,800

8 0

3 years ago

If i run a 5.31 second in 40 meter what would i run in a 40 yard dash

-Dominant- [34]

Answer:

im not sure , sorry... i wish i could have helped

5 0

3 years ago