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NISA [10]
2 years ago
8

What is the justification for each step in the solution of the equation?

Mathematics
2 answers:
jeka57 [31]2 years ago
6 0

13x−4=−36−27x+12: Distributive property  

13x−4=−24−27x: Combine like terms

40x=−20: Addition Property of equality

Crazy boy [7]2 years ago
6 0
<h2>Answer with Step-by-step explanation:</h2>

13x−4= −9(4+3x)+12    (Given)

13x−4= −36−27x+12     (Distributive property:  -9(4+3x)= -36-27x)

13x−4=  −24−27x   (combining like terms on each side:  -36+12= -24)

40x−4=−24    (Addition Property of Equality: adding 27x on both sides )

40x= −20     (Addition Property of Equality:   adding 4 on both sides )

x= −1/2      (Division Property of Equality:  dividing both sides by 40)

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How do I <br> evaluate 32-4x3
yawa3891 [41]

Answer:

20

Step-by-step explanation:

Evaluate is just simplifying so

4 times 3 is 12 times the negative makes it -12

then add 32 and -12 together

and you get 20

8 0
3 years ago
Read 2 more answers
Ming rolls a number cube, tosses a coin, and chooses a card from two cards marked a and b. if an even number and heads appears,
Zarrin [17]
B I think I am petty sure
7 0
2 years ago
Find the equivalent expressions for (x + 7)(x + 1).
Natali5045456 [20]

Answer:

The answers should be

x^2 + 8x + 7

x(x + 8) +7

Step-by-step explanation:

(x + 7)(x + 1)

x(x) + x(1) + 7(x) + 7(1)

x^2 + x + 7x + 7

x^2 + 8x + 7

5 0
2 years ago
Read 2 more answers
365x + 125 = 250x + 175
maxonik [38]
First, set up the equation. 
365x + 125 = 250x + 175 

Second, combine like terms on the same side by subtracting 250x and 125 from both sides.

365x +125 = 250x + 175  
-250x  -125   -250x -125 
__________________
115x = 50

Third, divide both sides by 115 to solve for x.

115x = 50
----      ----
115     115 

Fourth, simplify. 

x=50/115=10/23 or 0.435

7 0
3 years ago
Please help !!<br>[90 points if correct]​
3241004551 [841]

Answer:

2201.8348 ; 3 ; x / (1 + 0.01)

Step-by-step explanation:

1)

Final amount (A) = 2400 ; rate (r) = 6% = 0.06, time, t = 1.5 years

Sum = principal = p

Using the relation :

A = p(1 + rt)

2400 = p(1 + 0.06(1.5))

2400 = p(1 + 0.09)

2400 = p(1.09)

p = 2400 / 1.09

p = 2201.8348

2.)

12000 amount to 15600 at 10% simple interest

A = p(1 + rt)

15600 = 12000(1 + 0.1t)

15600 = 12000 + 1200t

15600 - 12000 = 1200t

3600 = 1200t

t = 3600 / 1200

t = 3 years

3.)

A = p(1 + rt)

x = p(1 + x/100 * 1/x)

x = p(1 + x /100x)

x = p(1 + 1 / 100)

x = p(1 + 0.01)

x = p(1.01)

x / 1.01 = p

x / (1 + 0.01)

7 0
3 years ago
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