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
sammy [17]
3 years ago
9

Use the indicated properties of realnumbers to complete the blanks of the following statements.

Mathematics
1 answer:
jek_recluse [69]3 years ago
4 0

Answer:

13. 50+43=43+50

14. 5+(7+6)=(5+7)+6

15.  -15+0=0-15=-15

16.  \frac{3}{4}*\frac{4}{3}=1

17. 25*4=4*25

Step-by-step explanation:

Let "a", "b", and "c" real numbers.

- Commutative Property of Addition states that:

 a+b=b+a

- Associative Property of Addition states that:

(a+b)+c=a+(b+c)

- Additive Identity Property states that:

a+0=0+a=a 

- Commutative Property of Multiplication states that:

a*b=b*a

- Multiplicative Inverse Property states that:

a*\frac{1}{a}=1    (a\neq 0)

Knowing these properties, we can solve the exercise:

13. By the Commutative Property of Addition:

50+43=43+50

14. By the Associative Property of Addition:

5+(7+6)=(5+7)+6

15. By the Additive Identity Property:

-15+0=0-15=-15

16. By the Multiplicative Inverse Property:

\frac{3}{4}*\frac{4}{3}=1

17. By the Commutative Property of Multiplication:

25*4=4*25

You might be interested in
Given the points (5, 2) and (7, 10) find the slope of the line going through the two points . Now write the point-slope form of
drek231 [11]

Step-by-step explanation:

the slope of a line is specified as the ratio y/x. that indicates how many units y changes, when x changes a certain amount of units.

so, going e.g. from (5, 2) to (7, 10), x changes from 5 to 7 = +2 units. and y changes from 2 to 10 = +8 units.

so, the slope y/x = m = 8/2 = 4

the point-slope form is

y - y1 = m(x - x1)

m = slope

(x1, y1) = coordinates of one point on the line. let's pick the first point (5, 2).

y - 2 = 4(x - 5)

or then fully simplified (leading to the slope- intercept form) :

y - 2 = 4x - 20

y = 4x - 18

for question 2 we do the same thing for (4, -2) and (0, -5).

x changes from 4 to 0, so, -4 units.

y changes from -2 to -5, so, -3 units.

slope = y/x = m = -3/-4 = 3/4

since there is a 0 included, let's use (0, -5) as point for the point-slope form

y - -5 = 3/4(x - 0)

or

y + 5 = 3/4 x

so, the last option is correct.

3 0
2 years ago
es 12.5 the intercepts and domain, and perform the symmetry test on each of the following ellipses: 6x2 + 25y2 = 400 2 + 472 = 4
Anastaziya [24]

Answer:

the question is cutoff. please rewrite the question. please write exponents as 6x^2.

6 0
2 years ago
adam wants to compare the fractions 3/12,1/6, and 1/3.he wants to order them from least to greatest and rewrite them so they all
Digiron [165]
3/12 ; 1/6 ; 1/3

Adam must first get the least common multiple of each denominator.

12 : 12, 24, 36
  6 :  6, 12, 18
  3 :  3, 6, 9, 12

12 is the least common denominator. 

We, then, multiply each denominator by a number that will produce 12.

12 x 1 = 12
6 x 2 = 12
3 x 4 = 12

Each number multiplied to the denominator must be the number used to multiply each numerator.

3/12 * 1/1 = 3/12
1/6 * 2/2 =   2/12
1/3 * 4/4 =   4/12

Since they now share a common denominator, the numerator will become the basis of the fraction's value. The greater the numerator, the greater the fraction's value.

Fractions in order from least to greatest = 2/12 ; 3/12 ; 4/12

Substitute each fraction with its original fraction:
2/12 ⇒ 1/6   : least

3/12 ⇒ 3/12 : middle
4/12 ⇒ 1/3   : greatest
7 0
3 years ago
What is the value of x in the equation LaTeX: \frac{3}{2}\left(4x-2\right)-3x=5-\left(x+2\right) 3 2 ( 4 x − 2 ) − 3 x = 5 − ( x
Helen [10]

Answer:

3/2

Step-by-step explanation:

Given the equation 3/2(4x-2)-3x = 5-(x+2)

Open the parenthesis

3/2(4x) - 3/2(2) -3x = 5-x-2

6x-3-3x = 3-x

3x-3 = 3-x

Collect like terms

3x+x = 3+3

4x = 6

Divide both sides by

4x/4 = 6/4

x = 3/2

Hence the value of x is 3/2

6 0
3 years ago
The leg of the isosceles triangle is two less than three times the length of its base. If the perimeter of the triangle is 45 m,
choli [55]

Answer:

19 m

Step-by-step explanation:

base=x

leg=3x-2

3x-2+3x-2+x=45

7x-4=45

7x=49

x=7

leg=3x+2=3(7)-2=19

7 0
3 years ago
Other questions:
  • The travel time for a college student traveling between her home and her college is uniformly distributed between 40 and 90 minu
    6·1 answer
  • Find 2p^2+3p-4 less-2p^2-3p+4
    14·2 answers
  • Solve for x. 9x + 2 = 5x + 22
    6·2 answers
  • A certain stock gained 5 points in one day and lost 4 points the next day which situation has the greater absolute value
    8·1 answer
  • Help imma screammmmm
    9·2 answers
  • Can you write a quadratic equation with the solutions of 0 and 9
    7·1 answer
  • Round 2.349 to the hundredths place.
    13·2 answers
  • I need help with this and how you got it please! 10 points
    7·1 answer
  • Can someone help me out with this angles triangle problem
    6·1 answer
  • 10 PTS
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!