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
dimulka [17.4K]
3 years ago
8

What is the reason for statement 3 in the proof?. Prove –d + (d + e) = e. StatementReason. 1–d + (d + e) = (–d + d) + e1. Associ

ative Property of Addition. 2= 0 + e2. Additive Inverse Property. 3= e3. ____________________. A. Definition of Addition. B. Identity Property of Addition. C. Commutative Property of Addition. D. Distributive Property
Mathematics
2 answers:
Elena-2011 [213]3 years ago
6 0
The correct answer to this question is letter "B. Identity Property of Addition." The reason for statement 3 in the proof is using the i<span>dentity Property of Addition.

</span>

when u add 0 to some number, u get the original number back.

e-lub [12.9K]3 years ago
6 0
<h2>Answer:</h2>

Option: B is the correct answer.

   B. Identity Property of Addition.

<h2>Step-by-step explanation:</h2>

We know that identity under addition is the element which when added to any elements  gives the resultant as the same element.

i.e. if e is the identity of the set then,

       a*e=a for all a belongs to the set, where * is the operation

We know that under addition operation the identity is the zero element.

Because if zero is added to any element than it gives the same element.

Reason. 1       -d+(d + e)=(-d+d)+e    1. Associative Property of Addition.

Reason 2               = 0 + e                2. Additive Inverse Property.

Reason 3                   = e                  3. Identity Property of Addition.

You might be interested in
Find the original price of a pair of shoes if the sale price is $40 after a 60% discount
Arturiano [62]

Answer:

<em>Thus, the original price of the pair of shoes was $100.</em>

Step-by-step explanation:

<u>Percentages</u>

After a 60% discount, the sale price is now valued at 100-60=40% of its original price.

If the sale price is $40, then the original price is calculated as

$40 / 40 * 100 = $100

Thus, the original price of the pair of shoes was $100.

Verify applying 60% discount:

$100 - 60*$100/100 =  $40

3 0
3 years ago
A store has 40% off sale on headphones. With this discount, the price of one pair of headphones is $36.00
Nataliya [291]

40 % off means we pay 60 %  (must total 100%)

original price * 60 % = 36.00

change percent to decimal

original price * .6 = 36

divide each side by .6

orginal price = 60


7 0
3 years ago
A number is equal to 3 times a smaller number. Also, the sum of the smaller number and 4 is the larger number. The situation is
alisha [4.7K]

Answer: two equations represent the situation are

y = 3x and y = x + 4

Step-by-step explanation:

The smaller number was represented by x and its values on the x coordinate.

The larger number was represented by y and its values on the y coordinate.

The larger number is equal to 3 times a smaller number. This means that

y = 3x

Also, the sum of the smaller number and 4 is the larger number. This means that

y = x + 4

4 0
3 years ago
Read 2 more answers
The Fruit Juice Company sold 5,909,999,222 cans of juice last year. This
elixir [45]
A) 2000000000

5,909,999,222-3,999,002,135= 1,910,997,087 which is closest to answer A
5 0
2 years ago
How many pairs of consecutive natural numbers have a product of less than 40000? I am in 5th grade. This is supposed to be easy
Ugo [173]

Answer:

There are 199 pairs of consecutive natural numbers whose product is less than 40000.

Step-by-step explanation:

We notice that such statement can be translated into this inequation:

n \cdot (n+1) < 40000

Now we solve this inequation to the highest value of n that satisfy the inequation:

n^{2}+n < 40000

n^{2}+n -40000

The Quadratic Formula shows that roots are:

n_{1,2} = \frac{-1\pm\sqrt{1^{2}-4\cdot (1)\cdot (-40000)}}{2\cdot (1)}

n_{1,2} = -\frac{1}{2}\pm \frac{1}{2} \cdot \sqrt{160001}

n_{1} = -\frac{1}{2}+\frac{1}{2}\cdot \sqrt{160001}

n_{1} \approx 199.501

n_{2} = -\frac{1}{2}-\frac{1}{2}\cdot \sqrt{160001}

n_{2} \approx -200.501

Only the first root is valid source to determine the highest possible value of n, which is n_{max} = 199. Each natural number represents an element itself and each pair represents an element as a function of the lowest consecutive natural number. Hence, there are 199 pairs of consecutive natural numbers whose product is less than 40000.

6 0
3 years ago
Other questions:
  • as a gift, you fill the calendar with packets of chocolate candy. Each packet has a volume of 2 cubic inches. Find the maximum n
    5·1 answer
  • On Monday, the price of gas decreased by 6 cents per gallon. On Tuesday it increased by 9 cents per gallon. What was the overall
    9·1 answer
  • To divide 3/8 ÷ 1/4 using a model, which of the following are true? Select all that are correct.
    11·1 answer
  • The quotient of 12 and the product of 3 and 4 .
    11·2 answers
  • Select all numbers that have an absolute value of 12 Choose all answers that apply:
    15·2 answers
  • Evaluate the expression<br> 15<br> X - 6, when x= 4.<br> es
    9·1 answer
  • Find the measure of x:
    8·2 answers
  • What the awnser 2/4 x 4/8
    7·2 answers
  • Based on this equation, estimate the price of a car that had been driven 56 thousand kilometers.
    7·1 answer
  • Compare your response to the sample response above. what did your explanation include? the conclusion that the work was incorrec
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!