1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
NikAS [45]
3 years ago
15

Given: 2x + 11 = 15 Prove: x = 2 Statements Reason 1. 2x + 11 = 15 1. Given 2. 2x = 4 2. 3. X = 2 3. Division Property of Equali

ty
Mathematics
2 answers:
wariber [46]3 years ago
6 0

Answer:

Statements                       Reasons

1. 2x + 11 = 15                    1. Given

2. 2x = 4                            2. Subtraction Property of Equality

3. X = 2                              3. Division Property of Equality

Step-by-step explanation:

An equation can be solved and its solution proven using algebraic theorems and properties. To create a proof, form two columns. Label one side Statements and the other Reasons.

Begin your proof listing the any information given to you. List as the reason - Given.

Then list the next step which here would be to subtract by 11 on both side. The reason is Subtraction Property of Equality. Subtraction is the inverse of addition. Inverse axiom is another acceptable reason.

Then divide both sides by 2. The reason is Division Property of Equality or Inverse axiom once again. See the proof below.

Statements                       Reasons

1. 2x + 11 = 15                    1. Given

2. 2x = 4                            2. Subtraction Property of Equality

3. X = 2                              3. Division Property of Equality

butalik [34]3 years ago
4 0

Answer: Statements                       Reasons

1. 2x + 11 = 15                    1. Given

2. 2x = 4                            2. Subtraction Property of Equality

3. X = 2                              3. Division Property of Equality

You might be interested in
When a particular type of thumbtack is​ dropped, it will land point up ​(A flat-top thumbtack resting on its flat top​) or point
erma4kov [3.2K]

Answer:

0.48

0.52

No

Yes

Step-by-step explanation:

Result of experiment :

Point up = 48

Point down = 52

Total number of trials = 100

Recall :

Experimental probability = number of outcomes / number of trials

1.)

P(Landing point up) = 48 / 100 = 0.48

2.)

P(Landing point down) = 52 / 100 = 0.52

3.)

The same result will not occur has the outcomes of trials aren't fixed.

4.) Yes, nearly the same result could occur on the second trial, as the number of possible outcubes are just 2 and the number if trials is high.

8 0
3 years ago
Find the exact solution to the equation. 7-log2(x+5) = 6
Sindrei [870]

Answer:

x = -3

Step-by-step explanation:

You can try the answers to see which works. Or, you can actually solve the equation for x.

... 7 - log2(x+5) = 6

... 1 - log2(x+5) = 0 . . . . subtract 6

... 1 = log2(x+5) . . . . . . . add log2(x+5)

... 2 = x +5 . . . . . . . . . . . take the antilog

... -3 = x . . . . . . . . . . . . . subtract 5

5 0
3 years ago
Someone EXPLAIN HOW + dont just answer!! i need an explanation and an answer
sdas [7]

Answer:

< - 5, 3.5 >

Step-by-step explanation:

A single translation is required to map A onto B

Consider the point (5, 3 ) on A and the corresponding point (0, 6.5) on B

the translation is < 0 - 5, 6.5 - 3 > = < - 5, 3.5 >


7 0
3 years ago
A solution contains 5 grams of a pure drug in 100 milliliters of solution. How many grams of pure
Artyom0805 [142]

Answer:

4.25 grams

Step-by-step explanation:

100 / 5 = 20

85 / 20 = 4.25

4.25 grams of pure drug are in 85 milliliters of a solution.

7 0
2 years ago
3.305 + 1.7 what's the sum? Also more questions are coming just doing a test
Paraphin [41]

  3.305

 +1.7

  5.005

Line up the decimal points and add like you usually would add.

5.005 is the answer.

5 0
3 years ago
Other questions:
  • Given that f(x)=2x^3+x-3, evaluate the function f(-2). <br> A.) 11 <br> B.) -69 <br> C.) -21
    14·2 answers
  • PLEASE HELP PICTURE IS SHOWN
    15·1 answer
  • A yogurt shop offers two different flavors of frozen yogurt (chocolate and vanilla) and three different toppings (sprinkles, cho
    11·1 answer
  • What is the perimeter of the figure?
    13·1 answer
  • Need help on this almost done
    8·1 answer
  • If you start with Malvin’s age, take half of it, increase that result by 5, then divide by 3, and finally double that, you get 8
    6·1 answer
  • What is 30 percent of 20 in fraction form
    9·2 answers
  • The solutions of the equation x^2-6x+4=0
    7·1 answer
  • What the * stands for ?
    13·1 answer
  • Combine like terms to create an equivalent expression. Enter coefficients as simplified proper or improper fractions or integers
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!