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3 years ago

X= y-2 2x+3y=21 Solution_______

1 answer:

algol133 years ago

3 0

X= y-2

2x+3y=21
⇒ 2(y-2)+3y=21
⇒ 2y-4+3y= 21 (distributive property)
⇒ (2y+3y)-4= 21 (combine like terms)
⇒ 5y= 21+4
⇒ 5y= 25
⇒ y= 25/5
⇒ y= 5

The final answer is y=5~

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-2 1/6 + -3 1/3 + -5 1/2

N76 [4]

Answer:

-2 1/6 + -3 1/3 + -5 1/2 = -11

Step-by-step explanation:

-2 + -3 + -5 = -10

-1/6 +- 1/3 + -1/2 = -1

-10+-1=-11

3 0

2 years ago

Is my answer correct?<br> 2 1/4 + 1/4 = 2 1/2

Sholpan [36]

Perfectly correct. Two quarters do make a half :)

8 0

3 years ago

Complete the table of values fory=2x^2+x

Semmy [17]

Complete question:

y = 2x² + 2x - 3

x = -2 -1 0 1 2

Answer:

<u>Complete table of values</u>

x: -2 -1 0 1 2

y: 1 -3 -3 1 9

Step-by-step explanation:

Given;

y = 2x² + 2x - 3

To complete the table of values of the equation above, we substitute the value of x into the given equation and solve for y.

when, x = -2

y = 2(-2)² + 2(-2) - 3

y = 8 - 4 - 3

y = 1

when x = -1

y = 2(-1)² + 2(-1) - 3

y = 2 - 2 - 3

y = -3

when x = 0

y = 2(0)² + 2(0) - 3

y = 0 - 0 - 3

y = -3

when x = 1

y = 2(1)² + 2(1) - 3

y = 2 + 2 - 3

y = 1

when x = 2

y = 2(2)² + 2(2) - 3

y = 8 + 4 - 3

y = 9

<u>Complete table</u>

x: -2 -1 0 1 2

y: 1 -3 -3 1 9

7 0

2 years ago

A cone has a volume of 108 pi and a base diameter of 12. What is the height of the cone?

serious [3.7K]

Answer:

h = 9 units of length

Step-by-step explanation:

Volume of a circular right cone is:

V(c) = (1/3)*Area of the circular base * h

Where h is the height of the cone, then

V(c) = (1/3) * π * r² * h

And we have that V(c) = 108*π

Then:

108 * π = (1/3) * π * r² * h (1)

We know diameter of the circular base is 12 units, according to that

r = d/2 ⇒ r = 12/2 r = 6 units

Then:

108 * π [ cubic units ] = (1/3) * π * (6)² * h [square units] [ units of length]

When simplifying we have to take into account that in order to keep last equation h needs to have units of length

Therefore:

108 = (1/3) * 36 * h

h = ( 108* 3 )/ 36

h = 9 units of length

7 0

3 years ago

Suppose the scores of seven members of a women’s golf team are 68, 62, 60, 64, 70, 66, and 72. Find the mean, median, and midran

Ksenya-84 [330]

The mean, median, and midrange of the given that are 66, 66 and 66 respectively.

Option D) Mean = 66, median = 66, midrange = 66 is the correct answer.

<h3>What is the mean, median, and midrange?</h3>

Mean is the sum total of the number divided by number of terms

Median is the middle number when arranged in ascending or descending order.

Midrange is the average of the sum of the maximum number and the minimum number.

Given that;

Data set: 68, 62, 60, 64, 70, 66, and 72

n = 7

First, we arrange in ascending order.

60, 62. 64, 66, 68, 70, 72

Mean = ( 60 + 62 + 64 + 66 + 68 + 70 + 72 ) / 7

Mean = 462 / 7

Mean = 66

Median = 66

66 is the middle number.

Range = ( Max + Min ) / 2

Range = ( 72 + 60 ) / 2

Range = 132 / 2

Range = 66

Therefore, the mean, median, and midrange of the given that are 66, 66 and 66 respectively.

Option D) Mean = 66, median = 66, midrange = 66 is the correct answer.

learn more on mean, median and mode here: brainly.com/question/9588526

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3 0

1 year ago