Write a two- column proof.

Given: 3x = x + 12
Prove: x =5​

Answers

Answer 1
3x-x=12
2x=12
x=12/2
x=6

Related Questions

a diver is 19 meters below the surface of the water.use an interger to represent how far the diver will need to travel to reacg the surface'

Answers

Answer:

19 meters

Step-by-step explanation:

if he goes straight up at 90 degreed to the surface of water, it would be 19 metres

What is an equation of the line that passes through the points (2, 1) and (3, -4)?

Answers

Answer:

huh Step-by-step explanation:

its really hard

Answer:

y = -x - 1

Step-by-step explanation:

(y - y1)/(x - x1) = (y1 - y2)/(x1 - x2)

(y - 4)/(x - (-3)) = (4 - (-1))/(-3 -2)

(y - 4)/(x + 3) = 5/-5

(y - 4)/(x + 3) = -1

y - 4 = -1(x + 3

y - 4 = -x - 3

y = -x - 1

how to find the domain and range of a piecewise function without a graph

Answers

Answer:

Step-by-step explanation:

The x component of a function is domain and the y component is range of a function . For example -                                                                                                   R1={(3,4),(5,6),(7,9)}                                                                                                                  The domain of R1 ={3,5,7}                                                                                                                                                                                                                                     The range of R1={4,6,9}

what is 5^12 divided by 5^3 simplified

Answers

Answer: 1/4

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

QUICK PLEASE! THIS IS DUE AT 6 P.M! 2x^2 ÷ 27

Answers

Answer:

Step-by-step explanation:

HOPE THIS HELPS :)

Find the discriminant and describe the nature of the root(s) of the equation: 6x2 - 2x - 4 = 0)

Answers

Answer:

discriminant= 100, nature of the root= real numbers.

Step-by-step explanation:

discriminant formula: b^2-4ac

-2^2-4(6)(-4)

4+96=100.

Darla ran 1/2 mile. Laura ran 5/8 mile. How many miles did they run altogether?

Answers

Answer:

1 1/8 mile

Step-by-step explanation:

when it says altogether most of the time you're supposed to add.

When you add fractions you need to have both denominator (number below the line) be the same. and sense 1/2 and 4/8 are equal we will replace it.

you add the numerators (top numbers) and keep the denominator (bottom number)

[tex]\frac{4}{8} + \frac{5}{8} = \frac{9}{8} =1\frac{1}{8}[/tex]

Sense the numerator is bigger you subtract the bottom number from the top number and put a 1 in front of the fraction.

Someone please help i forgot how to do math aaaaaaaaaa​

Answers

Answer: Refer to Step-by-step explanation

Step-by-step explanation:

To find the MAD

Step 1 Find the mean of the data.

Step 2 Find the distance between each data value and the mean.

Step 3 Add the distances together from Step 2

Step 4 Divide the sum in Step 3 by the total number of values in the data.

1) MAD = 21.36

2) Mean = 56

MAD = 3.75

3) Mean = 57

MAD = 16.67

If we express $3x^2 - 6x - 2$ in the form $a(x - h)^2 + k$, then what is $a + h + k$?

Answers

If we express  [tex]3x^2-6x-2[/tex] in the form  [tex]a(x-h)^2+k[/tex], then a + h + k = -1

The given quadratic expression is:

[tex]3x^2-6x-2[/tex]

To express [tex]3x^2-6x-2[/tex] in the form [tex]a(x-h)^2+k[/tex], follow the steps below

Rewrite [tex]3x^2-6x-2[/tex] as  [tex]3x^2-6x+3-5[/tex]

Factorize common terms

[tex]3(x^2-2x+1)-5[/tex]

This can be further simplified as:

[tex]3(x-1)^2-5[/tex]

Therefore, the vertex form of the equation  [tex]3x^2-6x-2[/tex] is [tex]3(x-1)^2-5[/tex]

Compare [tex]3(x-1)^2-5[/tex] with  [tex]a(x-h)^2+k[/tex]

a = 3, h = 1, k = -5

a  +  h  +  k  =  3  +  1 - 5

a  +  h  +  k  =  -1

Therefore if we express  [tex]3x^2-6x-2[/tex] in the form  [tex]a(x-h)^2+k[/tex], then a + h + k = -1

Learn more on vertex form of a quadratic equation here: https://brainly.com/question/17987697

question that EQUALS
67.5

Answers

The answer is 3.375 and i really need this bro or sis

A business owner is comparing the cost of buying natural gas from two different companies.
• Company A charges a $6 fee plus $1.25 per therm (unit of heat).
• Company B charges a $9 fee plus $0.75 per therm (unit of heat).
For what number of therms will the cost be the same at both companies?
13.5 therms
9 therms
6 therms
12.75 therms

Answers

Answer: C. 6 therms

Step-by-step explanation:

6 + 1.25(6) = $13.50

9 + 0.75(6) = $13.50

Correct me if I am incorrect.

PLEASE HELP!!!



46√2 simplified radical form

Answers

The answer is No answer decimal

Can i get some help :

Answers

Answer:

b = [tex]\frac{7}{12}[/tex]

Step-by-step explanation:

b + [tex]\frac{2}{3}[/tex] = 1 [tex]\frac{1}{4}[/tex] ← change to an improper fraction

b + [tex]\frac{2}{3}[/tex] = [tex]\frac{5}{4}[/tex]

Multiply through by 12 ( the LCM of 3 and 4 ) to clear the fractions

12b + 8 = 15 ( subtract 8 from both sides )

12b = 7 ( divide both sides by 12 )

b = [tex]\frac{7}{12}[/tex]

Answer:

The value of b is 7/12.

Step-by-step explanation:

Question :

Solve for b.

[tex]{\implies{\sf{b + \dfrac{2}{3} = 1 \dfrac{1}{4}}}}[/tex]

Enter your answer as a fraction in simplest form in the box.

[tex]\implies{\sf{b = \square}}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

Solution :

[tex]{\implies{\sf{b + \dfrac{2}{3} = 1 \dfrac{1}{4}}}}[/tex]

Converting the mixed fractions into improper fraction.

[tex]{\implies{\sf{b + \dfrac{2}{3} = \dfrac{(1 \times 4) + 1}{4}}}}[/tex]

[tex]{\implies{\sf{b + \dfrac{2}{3} = \dfrac{(4)+ 1}{4}}}}[/tex]

[tex]{\implies{\sf{b + \dfrac{2}{3} = \dfrac{4+ 1}{4}}}}[/tex]

[tex]{\implies{\sf{b + \dfrac{2}{3} = \dfrac{5}{4}}}}[/tex]

Now, transporting LHS to RHS.

[tex]{\implies{\sf{b= \dfrac{5}{4} - \dfrac{2}{3}}}}[/tex]

Taking LCM of denominators and subtracting.

[tex]{\implies{\sf{b= \dfrac{(5 \times 3) - (2 \times 4)}{12}}}}[/tex]

[tex]{\implies{\sf{b= \dfrac{(15) - (8)}{12}}}}[/tex]

[tex]{\implies{\sf{b= \dfrac{15 - 8}{12}}}}[/tex]

[tex]{\implies{\sf{b= \dfrac{7}{12}}}}[/tex]

[tex]{\star{\red{\underline{\boxed{\sf{b= \dfrac{7}{12}}}}}}}[/tex]

Hence, the value of b is 7/12.

[tex]\begin{gathered}\end{gathered}[/tex]

Verification :

[tex]{\implies{\sf{b + \dfrac{2}{3} = 1 \dfrac{1}{4}}}}[/tex]

Substituting the value of (b=7/12)

[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = 1 \dfrac{1}{4}}}}[/tex]

Converting mixed fractions into improper fraction

[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = \dfrac{(1 \times 4) + 1}{4}}}}[/tex]

[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = \dfrac{(4) + 1}{4}}}}[/tex]

[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = \dfrac{4 + 1}{4}}}}[/tex]

[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = \dfrac{5}{4}}}}[/tex]

Taking LCM of denominators in LHS and adding.

[tex]{\implies{\sf{ \dfrac{(7 \times 1) + (2 \times 4)}{12} = \dfrac{5}{4}}}}[/tex]

[tex]{\implies{\sf{ \dfrac{(7) + (8)}{12} = \dfrac{5}{4}}}}[/tex]

[tex]{\implies{\sf{ \dfrac{7 + 8}{12} = \dfrac{5}{4}}}}[/tex]

[tex]{\implies{\sf{ \dfrac{15}{12} = \dfrac{5}{4}}}}[/tex]

Cutting the fraction to simplest form.

[tex]{\implies{\sf{ \cancel{\dfrac{15}{12}} = \dfrac{5}{4}}}}[/tex]

[tex]{\implies{\sf{ \dfrac{5}{4}= \dfrac{5}{4}}}}[/tex]

[tex]{\star{\red{\underline{\boxed{\sf{LHS = RHS}}}}}}[/tex]

Hence Verified!

[tex]\underline{\rule{220pt}{3.5pt}}[/tex]

Second part to my question ToT Plz help Double points :D

Answers

Answer: 3

Step-by-step explanation:

V=whl

What is the simplified form of
3+2−14−24
−4
when x ≠ 4?

Answers

the answer for this is
-33

What is the value of X?

37 x X = 222

Answers

Answer:

87

Step-by-step explanation:

sorry if im wrong

there are five bells which ring at interval of 4,5,12 and 15 minutes respectively at what minute those bells ring at the same time?​

Answers

Answer:   60 minutes

=====================================================

Explanation:

Let's find the LCM of 4 and 5, which are the first two items of the list.

multiples of 4 are: 4,8,12,16,20,24,...multiples of 5 are: 5,10,15,20,25,...

The smallest item in each list is 20, so the LCM of 4 and 5 is 20.

We can replace the "4,5" in the list "4,5,12,15" with "20". So our new list would be "20,12,15".

We then repeat the process of finding the LCM of the first two items

multiples of 20 are: 20,40,60,80,...multiples of 12 are: 12,24,36,48,60,72,...

LCM of 20 and 12 is 60.

The list "20,12,15" condenses to "60,15".

Repeat this process of finding the LCM once more and you'll find the overall LCM is 60.

Therefore, the LCM of the entire set {4,5,12,15} is 60. This is the smallest multiple shared by all four values. Interestingly enough, the outer values pair up to multiply to 60, and so do the inner values.

4*15 = 60

5*12 = 60

The bells ring together every 60 minutes

In other words, all of the bells ring together at the same time every hour (perhaps at the top of every hour; eg at 7:00 pm and at 8:00 pm, etc).

Which is the solution to the system



4x + y = 0

x - y = 5





Explain/Show Work

Answers

Answer:

x = 1

y = -4

Step-by-step explanation:

if you solve for y

y = -4x

plug this into the other equation

x - -4x = 5

simplify

5x = 5

x = 1

plug x into the fist equation

4(1)+y = 0

y = -4

Which point would be a solution to the system of linear inequalities shown below?

Y>2/3x-4

Y<−4x−6

Answers

2/3x-4 im not all the way sure

Simplify 2^3 x 2^18 ​

Answers

Answer:

2^21

Step-by-step explanation:

3+18=21

Answer:

2/27

Step-by-step explanation:

Here is me work:

Dillon pays x dollars to get a haircut. He gives the stylist a
20% tip. The expression representing his total cost is
X + 0.2x.
Vhich expression is equivalent and why?
A. 1.02x, because adding 20% to the cost of the haircut is the same
as multiplying the cost by 1.02.
B. x(0.2), because the cost of the haircut can be factored out.
O C. 1.2x, because adding 20% to the cost of the haircut is the same as
multiplying the cost by 1.2.
D. 1.2x, because adding $20 to the haircut is the same as multiplying
the cost by 1.2

Answers

Answer:

C. 1.2x

Step-by-step explanation:

He pays 1 x for his haircut, and an additional 20% on top of that, or an additional 0.2x. If you write that as an expression, you can simplify it like this:

[tex]1x+0.2x\\1.2x[/tex]

You can also work it out by multiplying by 1.2 as stated in answer C. If his haircut costs $10, adding a 20% tip of $2 is the same as multiplying by 1.2.

[tex]10\times1.2=12[/tex]

Perform each matrix row operation and write the new matrix

Answers

Answer:

[4  -11   1   7   l  -17]

[0  1   -1   -7  l  0]

[3  0  -2   2   l  12]

[4   1   5   3   l   7]

Step-by-step explanation:

This is Finite Math, I got this hehe :)

To find the answer, first you need to understand what R means.

It stands for "row". So R1 means "Row 1".

So: -3R1 + R3 means that you need to multiply -3 by all of the numbers in row 1 and then add all of the numbers in row 3

[0   3   1   -1   l  6]

[0  1   -1   -7  l  0]

[3  0  -2   2   l  12]

[4  1    5   3   l   7]

Then use ^^THAT^^ and apply the next set of instructions.

-4R1 + R4 means that you multiply -4 by all of the numbers in row 1 and then add all of the numbers in row 4:

[4  -11    1   7   l  -17]

[0  1   -1   -7  l  0]

[3  0  -2   2   l  12]

[4   1   5   3   l   7]

7.
Which of the following is a prime number between 80 and 90?
OA. 85
B.
86
O C. 81
OD
83
HELP!!

Answers

Answer:

D) 83 is the answer. this is because it doest divide more then 2wice like the rule

Answer:

D TRUST ME

Step-by-step explanation:

Find the inverse of

Answers

Answer:

1/-0.5x

Step-by-step explanation:

1/2 = 0.5

-0.5x = -1/2x

Inverse function is the same as 1/fuction, so inverse of -0.5x = 1/-0.5x

Hope that helps

How i can answer this question

Answers

Answer:

B

D

C

Glad I coild help you out.

Answer:

B,C and D

Step-by-step explanation:

They all expand back to 16x + 20.

please heeeeeeeeeeeeeeeeeeeeelp

Answers

Step-by-step explanation:

3 is ur answer

mmmmmmmmmmm

what is what is sixth eighths times five(PLEASE HELP i'M STILL FAILING MATH!!!!!!!!!!!!!!!!!!!!)

Answers

Answer:

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

Step-by-step explanation:

[tex]\frac{6}{8} *\frac{5}{1}[/tex]

[tex]\frac{30}{8}[/tex] multiply across

[tex]\frac{15}{4}[/tex] simplify and convert into mixed number

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

25% of the seniors class has blue eyes of the blue student 60% are females. What is the probability that seniors selected randomly is a blue eyed female.

A) 15%
B) 85%
C)60%
D)35

Answers

Answer: A) 15%

Explanation:

Let's say this school has 1000 seniors.

25% of this count is 0.25*1000 = 250 to indicate there are 250 seniors with blue eyes. Of this smaller count, 60% of them are girls with blue eyes. So there are 0.60*250 = 150 female seniors with blue eyes.

Divide that last number over the original value: 150/1000 = 0.15 = 15%

The probability that the senior selected randomly is a blue-eyed female is 15%.

It is given that 25% of the seniors class has blue eyes of the blue student 60% are females.

What is the probability?

Probability refers to the occurrence of random events. Basically, it is the possibility to predict how likely events are to happen.

Probability of event = Number of favorable outcomes / Total number of outcomes.

Let's consider this school has 1000 seniors.

25% of this count

0.25 × 1000 = 250

Which shows that there are 250 seniors with blue eyes.

Similarly, 60% of them are girls with blue eyes.

So, there are 0.60 × 250 = 150

there are 150 female seniors with blue eyes.

Here, the probability that seniors selected randomly is a blue-eyed female

150/1000 = 0.15

                = 15%

Therefore, the probability that the senior selected randomly is a blue-eyed female is 15%.

Learn more about the probability here;

https://brainly.com/question/795909

through:(-3,-1), slope=4/3

Answers

Y+1 =4/3(x+3) this is in point-slope form.

23% of a snack mix is almonds. How much snack mix would you need to get 230g of almonds?

Answers

Answer:

230/p = 23/100 You would need 1,000 g of snack mix.

Step-by-step explanation:

There are 1000 snack mix would be needed to get 230g of almonds.

Given that;

23% of a snack mix is almonds.

And, there are 230g of almonds.

Let us assume that;

The number of snacks = x

Hence, it can be written as,

23% of x = 230

23/100 × x = 230

23x = 23000

x = 23000/23

x = 1000

Therefore, The number of snacks = 1000 g

Learn more about the percentage visit:

https://brainly.com/question/24877689

#SPJ3

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