show work
1) n - 8 = -3
2) -2m=-24
3) m/2=-7
4) 2/3y=20
(20 points for answers all)

Answers

Answer 1

Answer:

n = 5m = 12m= -14y =30

Step-by-step explanation:

1.

[tex]n -8 =-3\\\\Collect\:like\:terms\\n = -3+8\\\\Simplify ; -3+8 = 5\\\\n =5[/tex]

2.

[tex]-2m=-24\\\\Divide\: both \:sides\:of\:the\:equation\:by\:-2\\\\\frac{-2m}{-2} = \frac{-24}{-2} \\\\Simplify ; -2m/-2 = m , -24/-2 = 12\\\\m =12[/tex]

3.

[tex]\frac{m}{2}=-7\\\\Cross\:Multiply\\\\m\times 1 = 2\times -7\\\\m = -14[/tex]

4.

[tex]\frac{2}{3}y=20\\ \\\frac{2}{3} y = \frac{20}{1} \\\\Cross\:Multiply\\\\2y\times 1 = 3\times 20\\\\2y = 20\\\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2y}{2}=\frac{60}{2}\\\\Simplify\\y = 30[/tex]


Related Questions

can anyone help me it’s algebra 2

Answers

Answer:

2.5

Step-by-step explanation:

4x+1=11

4x=11-1

4x=10

x=10/4

=2.5

ANSWER:

2.5

STEP-BY-STEP-EXPLANATION

4x + 1 = 11
4x = 11 - 1 (get the numbers on one side)
4x = 10
x = 10/4
x = 2.5

Hope that helped

Find two consecutive odd integers such that seven times the first equals five times the second.

Answers

Answer:

Odd integers are always one more that an even integer:

1st: 2n+1

2nd: 2n+3

Step-by-step explanation:

14n+7 = 10n+15

4n = 8

n = 2

------------

1st: 2n+1 = 5

2nd: 2n+3 = 7

7x=5*(x+2)

7x=5x+10

7x-5x=10

2x=10

x=5

5 and 7 are the two consecutive odd integers such that seven times the first equals five times the second.

What are Integers?

Integers are the numbers consisting of whole numbers and the negatives of natural numbers.

Let 2n + 1 and 2n + 3 be the two consecutive odd integers.

We have the relation seven times the first integer equals five times the second.

7 (2n + 1) = 5 (2n + 3)

By distributive property,

(7 × 2n)  + (7 × 1) = (5 × 2n) + (5 × 3)

14n + 7 = 10n + 15

Taking the terms containing unknowns on one side and constants on other side,

14n - 10n = 15 - 7

4n = 8

n = 8 / 4

n = 2

So the first number = 2n + 1 = (2 × 2) + 1 = 5

and the second number = 2n + 3 = (2 × 2) + 3 = 7

Hence the two consecutive odd integers such that seven times the first equals five times the second is 5 and 7.

To learn more about Integers, click :

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Examine the diagrams below. What is the angle pair
relationship between the labeled angles? Use the
relationship to write an equation and solve for x. Then
confirm your answer by calculating the angle measures
of the labeled angles. Show your work in the text box.

a.
3x + 5°
5x - 57°

Answers

Answer:

b

Step-by-step explanation:

solve for the equation 6x+14=7x+8

Answers

Answer:

x = 6

Step-by-step explanation:

For this problem, we simply will isolate the x to find the value of x:

6x + 14 = 7x + 8

6x + -6x + 14 = 7x + -6x + 8

14 = x + 8

14 + -8 = x + 8 + -8

6 = x

Hence, x = 6.

Cheers.

Answer:

x=6

Step-by-step explanation:

First, subtract 6x from both sides to get:

14=x+8

Now, subtract 8 from both sides to get x alone:

6 = x

Which letter represents the first number in an ordered pair?

Answers

Step-by-step explanation:

Example: (5,2)

On a graph, the 5 goes on the x-axis and the 2 goes on the y-axis.

Also, in the world of variables, and the alphabet, x is before y.

So x represents the first number in an ordered pair.

hope it helps!

A number múltiple by 0.5 is 12.25. Find the number.

Answers

Answer:

24.5

Step-by-step explanation:

n0.5=12.25

n/0.5=12.25/0.5

n=24.5

a. The formula F=95(K−273.15)+32 converts a temperature from Kelvin K to Fahrenheit F. Solve the formula for K.

K= this is solved

b. Convert 240∘ F to Kelvin K. Round your answer to the nearest hundredth.

240∘F ≈ __ Kelvin

Answers

The value of temperature in Kelvin K which has the value 240 degree in Fahrenheit F is 275 K.

How to convert a temperature from Kelvin?

The formula to convert a temperature from Kelvin K to Fahrenheit F is,

[tex]F=95(K-273.15)+32[/tex]

Here, K is Kelvin and F is Fahrenheit.

Solve the formula for K in the following way,

[tex]F=95(K-273.15)+32[/tex]

Subtract 32 both side,

[tex]F-32=95(K-273.15)+32-32\\F-32=95(K-273.15)[/tex]

Divide, with 95, both side of equation,

[tex]\dfrac{F-32}{95}=(K-273.15)\\\dfrac{F-32}{95}=K-273.15\\\dfrac{F-32}{95}+273.15=K[/tex]

This is the solved equation for K.

To convert 240∘ F to Kelvin K, put the value in the formula given in above equation,

[tex]\dfrac{F-32}{95}+273.15=K\\\dfrac{240-32}{95}+273.15=K\\\dfrac{208}{95}+273.15=K\\2.12+273.15=K\\275.27=K\\K\approx 275[/tex]

Thus, the value of temperature in Kelvin K which has the value 240 degree in Fahrenheit F is 275 K.

Learn more about the temperature measurement here;

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Answer:

240°  ≈  388.71K

Step-by-step explanation:

240°  ≈  388.71 K

The distance between the paralled lines 3x + 4y +15 = 0 and 3x + 4y -10 = 0 is equal to: pls help ASAP

Answers

Answer:

5 units

Step-by-step explanation:

Please see attached pictures for the full solution.

(This distance is the perpendicular distance between the 2 parallel lines, which is the shortest distance between them.)

Answer:

D 21/5

Step-by-step explanation:

edge


Can anyone help me with this? (I took a picture of it too)

11. STEM To convert a temperature in degrees Celsius to degrees
Fahrenheit, multiply the Celsius temperature by 9/5 and then add 32°. Is a
temperature in degrees Celsius proportional to its equivalent temperature in
degrees Fahrenheit?
Degrees Celsius
0
10
20
30
Degrees Fahrenheit
132

Answers

Answer:

  no

Step-by-step explanation:

Whenever a linear equation is something other than

  y = kx

the relation is not proportional.

__

Here, you have ...

  y = (9/5)x +32

The added constant ensures the relation is not proportional.

GEOMETRY HELP!!
Find the midpoint of AB

It’s Q right?

Answers

Yes the answer is Q.

Answer:yes it’s q

Step-by-step explanation:

helppp fast!!!10 points!!

Answers

The answer is A.

I hope I am correct, if I am not I’m sorry since I am still a beginner.

9. Whats is the equivalent fraction for 0.625

Answers

Answer:

5/8

Step-by-step explanation:

You need to convert to a simplified fraction by placing the numbers to the right of the decimal over 1000. Then reduce the fraction.

The answer would be 5/8

A rectangle has an area of 102cm2. The length of the rectangle is 17 cm. What is the perimeter of the rectangle

Answers

Answer:

36

Step-by-step explanation:

To find the with divide 102 by 17, we get 6. Then add 6+6+17+17 because we know this is a rectangle and it has 2 with sides and 2 length sides. We get the answer of 36.

X- (-12)=25

( FIND X)

Answers

Step-by-step explanation:

X- (-12)=25

X+12=25

X=25-12

X=13

please mark as brainliest

3(1 + 7r) + 7r <— please help! :)

Answers

Answer: 28r+3

Step-by-step explanation:

3(1+7r)+7r

distributive property

3+21r+7r

combine like terms

28r+3

Answer:

4r/7 is the answer 4r over 7

HELP PLEASE

what is the slope of the function

Answers

Answer:

1/2 probably

Step-by-step explanation:

can someone pleaseee help me with explaination

2-3a / 4 >5

THE DASH IS FOR DIVISION SO 2- 3a OVER 4

Answers

Answer:

a < -4

I apologise if it is wrong.


Write this series in sigma notation: 5+9+13+17+21+ 25 + 29+ 33.

Answers

Answer:

5+9+13+17+21+25+29+33= 152

Answer:

5+9+13+17+21+25+29+33=148

540 repeated is equal to x/37
Is this true?

Answers

Answer:

The answer is x= 19980

Step-by-step explanation:

You do 540 = x/37 ---> then divide by 1/37 on each side and you get --> 19980 = x ---> you can plug it back in and get the right answer. 540 = 19980/37 = --------> 540=540

Which equation represents the data: m = -3, b = 5
O y = -3x + 5
O y = x
Oy= 5x - 3
Zero

Answers

Answer:

y=-3x+5

Step-by-step explanation:

In the form of y=mx+b

Rey baked 144 desserts in 6 1/4 months. Find reys dessert making rate in desserts per month.

Answers

Answer:

23 1/25 desserts per month

What is the value of √23

Answers

Answer:

Step-by-step explanation:

If you looking for square and square root:

Square: 529

Square root: 4.796 and the longer one,4.79583152331

Suppose that J and K are points on the number line.
If JK = 10 and J lies at -17, where could K be located?
If there is more than one location, separate them with commas.

Answers

Answer:

-7, -27

Step-by-step explanation:

J is at -17. K is 10 units from J.

Start at point J, -17:

a) If you go 10 units to the right, you end up at -17 + 10 = -7

b) If you go 10 units to the left, you end up at -17 - 10 = -27

J can be at -7 or at -27

Answer: -7, -27

means to find the only possible answer.

Answers

The answer is determine

A line passes through the points (1,-6) and (4,3) What is the Y intercept of this line?

Answers

Answer: b=-9

Step-by-step explanation:

To find the y-intercept of the line, we can use the points given to make an equation. To find the slope, you use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].

[tex]m=\frac{3-(-6)}{4-1} =\frac{9}{3} =3[/tex]

Now that we know the slope, we can fill in what we know and solve for y-intercept.

y=3x+b

We can plug in any point to solve for y-intercept.

3=3(4)+b                [multiply]

3=12+b                   [subtract both sides by 12]

b=-9

Now, we know that the y-intercept is b=-9.

one of the displays at a botanical garden is a koi pond with a walk away around it. The figure who’s the dimensions of the pond and the walkaway?
a) area of pond
b) area of walkaway

Answers

a) sorry if it’s wrong

Is 1/2 an irrational number?

Answers

Answer:

Yes, 1/2 is a irrational number

Step-by-step explanation:

This is the answer because (Google research):

A number is rational if we can write it as a fraction where the numerator and denominator are both integers. However, numbers like 1/2, 46485928/2628242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

Hope this helps!

9x^2 - 16 = (px+t)(px-t) both p and t are constants. Which of the following could be the value of p

Answers

Answer:

p = 3

Step-by-step explanation:

9x² - 16 ← is a difference of squares and factors in general as

a² - b² = (a + b)(a - b)

Thus

9x² - 16

= (3x)² - 4²

= (3x + 4)(3x - 4)

Compare with (px + t)(px - t)

then p = 3

Tell me the linear equation for point-slope form?

Answers

Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-intercept)

How is the graph of y = (x + 1)^2- 5 transformed from the graph of y=x^2?

Answers

[tex]\text{Hi there! :D}[/tex]

[tex]\boxed{\text{There is a horizontal shift of 1 unit left and 5 units down.}}[/tex]

[tex]\text{Recall that the transformations form of a quadratic function is:}\\\\y = \pm a(b(x-h))+k \text{ where:}\\\\a = \text{ vertical stretch/compression}\\\\b = \text{ horizontal stretch/compression}\\\\h = \text{ shift left/right}\\\\k = \text{ shift up/down}\\\\\text{Therefore, in this instance:}\\\\h = -1\\\\k = -5, \text{ so:}\\\\\text{There is a horizontal shift of 1 unit left and 5 units down.}[/tex]

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