Mathematics High School

Three times the difference of a number and two is equal to the sum of the number and twelve.

Answers

Answer 1

Answer:

x=-21

Step-by-step explanation:

The difference of a number and 3 is x - 3

The sum of the number and 5 is x + 5  

Twice the difference of a number and 3 is therefore 2(x - 3)  

Three times the sum of the number and 5 is therefore 3(x + 5)  

These last two terms are equal. In equation form this is:  

2(x - 3) = 3(x + 5)

2x - 6 = 3x + 15  

Get rid of the 3x on the right side by subtracting 3x from both sides and you have:  

-x - 6 = 15  

Get rid of the -6 on the left side by adding 6 to both sides to get:  

-x = 21  

You are trying to solve for +x. To change the left side of this equation to +x multiply

both sides by -1 and you change the equation to:  

x = -21

Hope this helps you to understand the problem.

Related Questions

write 120 as product of powers of its prime factors.​

Answers

Step-by-step explanation:

[tex]120=2^3 \times 3 \times 5[/tex]

Answer:

2³ × 3 × 5

Step-by-step explanation:

To find the prime factors, first divide 120 by 2 until finished , then 3 and so on

120 ÷ 2 = 60

60 ÷ 2 = 30

30 ÷ 2 = 15

15 ÷ 3 = 5

5 ÷ 5 = 1 ← finish when 1 is obtained

Then

120 = 2× 2 × 2 × 3 × 5 = 2³ × 3 × 5

Help with 11-19 please

Answers

The answer would be -8

Answer:

11=53000

12=0.00000992

13=0.041

14=272600000

15=0.84

16=1450

17=0.0009392

18=602

19=3752800

Hope this helps

30 POINTS, 2 QUESTIONS!!!

Find the value of x and KL if K is between J and L.

1. JK = 6 x , KL = 3 x , and JL = 27
2. JK = 2 x , KL = x + 2, and JL = 5 x – 10

Answers

Answer:

Step-by-step explanation:

1) JK + KL = JL

6x + 3x = 27

       9x = 27

          x = 27/9

         x = 3

2) JL = JK + KL  

5x - 10 = 2x + x + 2           {Combine like terms}

5x - 10 = 3x + 2

Add 10 to both sides

5x = 3x + 2 + 10

5x = 3x + 12

Subtract 3x from both sides

5x - 3x = 12

2x = 12

Divide both sides by 2

x = 12/2

x = 6

find the equation of the line that passes through (1,0) and (0,1)

Answers

Answer:

y = -1x + 1

Step-by-step explanation:

- Plug the values into slope formula:

y2 - y1 / x2 - x1

1 - 0 / 0 - 1

1 / -1

= -1

y = -1x + b

1 = -1(0) + b

1 = 0 + b

1 = b

-3-5x-5y+8x+7y+8
PLEASE ANSWE ASAP

Answers

Answer:

3x+2y+11

Step-by-step explanation:

I hope this helps

your welcome

Answer:

3x + 2y + 5

Step-by-step explanation:

-3 - 5x - 5y + 8x + 7y + 8

(first, let's group the like terms)

= - 5x + 8x - 5y + 7y - 3 + 8

(now, add the numbers that do not have a variable,  - 3 + 8)

=  - 5x + 8x - 5y + 7y + 5

(add the elements you think are alike)

= 3x + 2y + 5


I need help , Solve and graph each inequality

Answers

To solve b - 8 ≥ -11
1. Add 8 to both sides of the inequality.
2. b ≥ -11 + 8

What is -11 + 8 ?

To graph it
Put a closed circle at your answer to the above question.
You use a closed circle, because it’s ≥ and not >. “>” would have had an open circle.

From that circle, you shade the numbers that are greater than you answer, which means shade to the right.

x=2 and x= 9 absolute value

Answers

Answer:

if u need to write an equation for it, it would be |2x-11| =7

Find the midpoint between A(3,2) and B(12,-4)

Answers

Answer:

I hope it will help you .

Sorry my handwriting is not good.

Midpoint formula:
(3 + 12)/2, (2 - 4)/2
15/2, -2/2
(7.5, -1)


The scale on your
map says that three
inches on the map is equal
to 90 miles. If your final
destination is 13 inches away on the
nap, how many miles away is it?

Answers

(Unless my math is wrong) it is 390 miles

15. ¿Cuál es ol rosultado de 2x(x - 1)?

Answers

¡Hola!

Explicación paso a paso Espero que te ayude

[tex]2x(x - 1) \\ \\ {2x}^{2} - 2x[/tex]

Espero que te ayude
what is this in english??

the area of a triangle is 24 square centimeters. If the base of this triangle is 8 centimeters , find the number of centimeters in the altitude

Answers

Answer:

6 cm

Step-by-step explanation:

Area = ½ × b × h

24 = ½ × 8 × h

24 = 4 × h

24/4 = h

6 = h

Pls help I’m really confused on this last question

Answers

Answer:

i cant really see that bruv

Step-by-step explanation:

goodluck tho <3

Answer:

cant see it either but good luck, i tried to read it

Step-by-step explanation:

Favorrrrrrrrrrrrrrrrrrrrrrr

Answers

Answer:

x=6

AD=x+18

=6+18

=24 (the final answer)

Answer:

x = 6

AD = 24

Step-by-step explanation:

To find the value of x and AD

We know that the opposite sides of parallelogram are equal

so

AD = BC

3x + 6 = x + 18

3x - x = 18 - 6

2x = 12

x = 12/2

x = 6

now we need to find AD

AD =3x + 6

instead of x we have to put 6

AD =  3 (6) +6

     = 18 +6

     = 24

AD = 24

What is the slope of the line passing through the points (-1, 7) and (3, 4)?

Answers

Answer:

-3/4

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

4-7/3-(-1)

-3/4

Best of Luck!

Answer:

The slope is -3/4x.

Step-by-step explanation:

Slope = [tex]\frac{y_{2} -y_1}{x_{2} -x_1}[/tex]

[tex]\frac{4-7}{3--1}[/tex]

[tex]\frac{4-7}{3+1}[/tex]

[tex]\frac{-3}{4}[/tex]

[tex]-\frac{3}{4}[/tex]

PLEASE HELP!!! The stem-and-leaf plot shows the number of words in the classified ads in a newspaper one day.

How many ads had at least 15, but fewer than 30, words?

1/ 0 3 3 5 7 9
2/ 0 0 1 4 5
3/ 3 8 8
4/ 7
5/ 2
Key : 1/ 0 = 10

5


14


8


11

Answers

Answer:

D. 8

Step-by-step explanation:

We can see the numbers from 20 (inclusive) to 45 on the plot:

20, 20, 21, 24, 25, 33, 38, 38

In total 8 ads

Correct answer choice is: D. 8

D I’ve done this before

How many 1/4 litre glasses of con be got from a container of 3 litres​

Answers

Total volume = 3 litres
Volume of each glass = 1/4 litre

Divide 3 by 1/4
3 / (1/4)
3* (4/1)
= 12 glasses

Which list contains ONLY irrational numbers?

Answers

The first list as they can’t be expressed in a ratio of 2 numbers

dfxgcfhcgdfdtztxjxjf

Answers

I don’t known ok do you know?

If the temperature outside was 73 degrees at 5:00 p.m., but it fell 19 degrees by 10:00 p.m., what is the temperature at 10:00 p.m.? Write an addition equation and solve.
please help

Answers

Answer:

73degrees-10degrees=63 degrees

Answer: 73 + (-19) = x, x = 73-19 = 54 degrees

Step-by-step explanation: Normally this would be a subtraction equation, but if you're looking for addition you can fix that by adding a negative number- which is the same as subtraction. In this case, the times have nothing to do with the equation itself.

what is 4a+6⁶ what is the answer​

Answers

Answer:

[tex]4a+46656[/tex]

Step-by-step explanation:

[tex]4a+6^6[/tex]

[tex]4a+46656[/tex]

Answer:

4a + 46656

Step-by-step explanation:

4a+6⁶

4a + 46656

A and Z are both between points M and N such that MZ=AN and A is between M and Z. Given: MA=5x AZ=3x-2 AN=6(2x-1) find MN

Answers

Answer:

MN = 11

Step-by-step explanation:

M___A___Z___N

MZ =MA+AZ

MZ = 5x + 3x -2 = 8x - 2

MZ = AN

8x - 2 = 6(2x-1)

8x - 2 = 12x - 6

12x - 8x = 6 -2

4x = 4

x =4/4

x =1

MA= 5x = 5(1) = 5

AZ = 3x-2 = 3(1) - 2 = 3 -2= 1

MZ = 8x -2 = 8(1)-2= 8-2=6

AN = 12x - 6 = 12(1)-6 = 12 - 6 = 6

MN = MA + AN = 5 + 6 = 11

I hope I helped you^_^

Help anyone can help me do this question,I will mark brainlest.​

Answers

a)

n(A U B) = n(A) + n(B) - n(A inverseU B)

n(A U B)= 50 + 62 - 26 = 86

b)

n(P)=23

n(Q)=25

P follow Q

so the P is inside Q

that means the n(P U Q) equal to 25

have a great day

The blue dot is at what value on the number line?
-7
-3
?

Answers

Answer:

The blue dot represents the absolute value of the number occupied by red dot.

Answer:

1

Step-by-step explanation:

Three consecutive integers sum to 6. What is the least of these integers?

Answers

Answer:

The least of the three integers is 1.

Step-by-step explanation:

Hi there!

Let x be equal to the least of these integers.

Let x+1 and x+2 be the next consecutive integers.

We're given that these integers have a sum os 6.

We can use these to construct an equation:

[tex](x)+(x+1)+(x+2)=6[/tex]

Combine like terms:

[tex]x+x+1+x+2=6\\x+x+x+1+2=6\\3x+3=6\\3x=3\\x=1[/tex]

Therefore, the least of these integers is 1.

The other two integers would be 2 and 3.

I hope this helps!

Enter the decimal 1.27 (repeating decimal)as an improper fraction in the simplest form.

Answers

Let x = 1.272727…. Then 100x = 127.272727…. So we have

100x - x = 127.272727… - 1.272727…

99x = 126

x = 126/99 = 14/11

Please help me with 7 8 9 10 and 11

Answers

Answer:

for number 10 it is a

Step-by-step explanation:

i don't know but i did do homework and i got number 10 right sorry.

Answer:

10 is b, 11 is false, 9 is false, 8 is points D, A, and B, 7 is CB and CA

Step-by-step explanation:

You are going on a long trip and want to calculate your Miles per gallon. When you start your trip your odometer read 95842 miles. At the end of your trip your odometer reads 95975 miles. You started with a full tank and to return to a full tank you put in 7 gallons of gas total. What is your miles per gallon?

Answers

Answer:

19 miles per gallon

Step-by-step explanation:

95975 - 95842 = 133

133 divided by 7 = 19

Find the sum of the given arithmetic series. 14 + 28 + 42 + 56 + ... + 280

Answers

14 + 28 + 42 + 56 + … 280

= 14 (1 + 2 + 3 + 4 + … + 20)

= 14 × 20 × 21 / 2

= 2940

where we use the well-known identity,

[tex]\displaystyle \sum_{i=1}^ni = 1 + 2 + 3 + \cdots + n = \dfrac{n(n+1)}2[/tex]

Select the correct answer.
Which expression is equivalent to 10v5?
OA. V500
OB. V105
O c. V50
OD. V15

Answers

Answer:

a) √500

Step-by-step explanation:

I hope it will help you

Answer:

v500

Step-by-step explanation:

i got it right (plato) and on edmentum

Brainliest

Consider each equation. Find the value of m in each equation below. Justify your answer

Answers

Answer:

Part B: m = - 4

Part C: m=0

Step-by-step explanation:

Part B:

x^3 * y^2 * x^2 * y3 * z^m * z^5 = x^5 *y^5 * z

(1/z^-5= z^5)

x^3 * x^2 = x^5

y^2 * y^3 = y^5

z^m * z^5 = z

Z^-4 * z^5 = z

m = - 4

Part C:

m = 0 (any number to the power of 0 = 1)

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