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
Pani-rosa [81]
4 years ago
8

Use an operation or a property to justify each step​

Mathematics
1 answer:
dalvyx [7]4 years ago
8 0

Answer:

  1. given
  2. distributive property
  3. commutative property
  4. collect terms

Step-by-step explanation:

On the first line, the expression shown is the one on the left side of the problem statement. It is "<em>given</em>." This is often the case in problems of this type.

On the second line, parentheses are gone. The <em>distributive property</em> tells you how to remove them.

On the third line, the middle two terms have traded places. The <em>commutative property of addition</em> lets you do that.

On the last line, like terms are combined. We call that operation "<em>collect terms</em>." (It is a combination of many others, including use of the distributive property to factor the variable from like terms, adding two numbers to get their sum, and substituting the sum for the two numbers.) You might want to refer to an example from your text to see exactly how this is justified.

You might be interested in
Each vote in a certain election went to one of two candidates, X or Y. Candidate X received 624 of the votes cast by men, and Ca
alexandr1967 [171]

Answer:

The statement 2 is sufficient and total number of votes candidate X received is 946.

Step-by-step explanation:

Consider the provided information.

Candidate X received 624 of the votes cast by men, and Candidate Y received 483 of the votes cast by women.

The required table is shown below:

                            X              Y

Men                   624             ?

Women                ?              483

We need to find how many votes did Candidate X receive?

Statement 1: Candidate X received 50% cast by men .

That mean remain 50% cast by Candidate Y.

Therefore the complete table will look like this:

                            X              Y

Men                   624           624

Women                ?             483

But we need to find the number of votes received by Candidate X.

We don't have enough information to find the sum of the values under X column. Hence, the statement 1 is not sufficient.

Statement 2: Candidate Y received 60% cast by women.

Candidate Y received 60% cast that means Candidate X received 40% cast.

0.6 of x = 483

x = 805

Now 40% of 805 is:  322

Thus, the complete table is:

                            X              Y

Men                   624           624

Women             322            483

Total                  946

Hence, the statement 2 is sufficient.

5 0
3 years ago
In quadrilateral ABCD, the measure of angle A exceeds the measure of angle B by 20 degrees. Also, the measure of angle D is twic
KATRIN_1 [288]

Answer:

in any quadrilateral, the sum of the interior angles is 360 degrees, so angles

a+b+c+d = 360 degrees.

But a = 2b

and b = 2c

and c = 2d so...

b = 4d and

 

a = 8d so we have:

8d+4d+2d+d = 360

15d = 360 and

d = 24 degrees

c = 2(24) = 48 degrees and

b = 4(24) = 96 degrees and

a = 8(24) = 192 degrees.

7 0
4 years ago
Standard form of the equation that goes through (3, -1) with a slope of -1, please!
11111nata11111 [884]

Answer:

x+y=2

Step-by-step explanation:

Standard Form: ax+by=c

For most convenience start with slope-intercept form: y=mx+b

1. -1 = -1(3)+b -  solve for b

b=2

y= -1x+2 (slope-intercept form)

2. Now convert to standard form

Add 1x to both sides:

1x+y=2

7 0
3 years ago
Lisa is standing on a dock beside a lake. She drops a rock from her hand into the lake. After the rock hits the surface of the l
Lemur [1.5K]

Answer:

  • 5 ft 8 in or 68 in

Step-by-step explanation:

<u>In 4 seconds the rock will be at:</u>

  • 2*4 = 8 in from the surface

<u>Add 5 feet to this to get the required distance:</u>

  • 5 ft + 8 in = 5*12 in + 8 in = 68 in
7 0
3 years ago
Read 2 more answers
75% of ? Pitcher is 15 pitchers
Alenkinab [10]
Not sure what you are trying to ask, but 3/4 of 15 is 11/25....
4 0
4 years ago
Other questions:
  • 0.84, 0.8, 0.81, 0.639 smallest to biggest
    12·1 answer
  • Solve the differential equation:<br>dy/dx = x/((y^2)sqrt(1+x))
    9·1 answer
  • Please help ASAP
    12·2 answers
  • Alberto is in charge of making lunch at summer camp. He knows that 3 tuna casseroles will serve 15 campers. How many tuna casser
    10·1 answer
  • Felix began finding the volume of the prism using the formula V = Bh. His work is shown. B = 8(24) = 192 cm2 A prism has a lengt
    12·2 answers
  • For which equation does it make the most sense to solve by using the square root property?
    11·2 answers
  • What is the greatest common factor of 3x4, 15x3, and 21x??
    11·2 answers
  • 7) Mary wants to make several cans that have a radius of 3 and height of 5. She is going to cut them from a sheet of metal that
    12·1 answer
  • 10.
    6·1 answer
  • Х<br> x<br> 320<br> X=<br> degrees.<br> SJSJSJSJS Ja
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!