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Mnenie [13.5K]
3 years ago
15

Alberto uses the steps below to solve the equation One-half x minus 3 equals 7. Step 1: One-half x minus 3 plus 3 equals 7 plus

3 Step 2: One-half x plus 0 equals 10 Step 3: One-half x equals 0 Step 4: 2 (one-half) x equals 2 (10) Step 5: 1 x equals 20 Step 6: x equals 20 Which justifies Step 6 of his work? the addition property of equality the identity property of addition the multiplication property of equality the identity property of multiplication
Mathematics
2 answers:
-BARSIC- [3]3 years ago
6 0

Answer:

Answer:

Identity property of multiplication

Step-by-step explanation:

Given

Step 5: 1x = 20

Step 6: x = 20

Required

Property that justifies step 6

Annette [7]3 years ago
5 0

Answer:

Identity property of multiplication

Step-by-step explanation:

Given

Step 5: 1x = 20

Step 6: x = 20

Required

Property that justifies step 6

It should be noted that step 6 is a result of step 5.

So, basically the question is asking for the property applied on step 5.

Given that step 5 is: 1x = 20

The property applied is the identity property of multiplication.

This is so because this property states that when 1 is multiplied to an equation, the result remains the same.

Hence;

When 1 is multiplied to x (i.e. 1x), the result is still x.

So, 1x = 20 at step 5 gives x = 20 at step 6

You might be interested in
A town has a population of 2000 and grows at 4.5% every year. What will be the
goldfiish [28.3K]

Answer:

3544

Step-by-step explanation:

This is a problem of compound growth. The formula is

F=P(1+r)^t

Where F is the value in the future (in this case, the population after 13 years)

P is the intial amount (here, the initial population of 2000, so P = 2000)

r is the rate of growth (here, it is 4.5%, in decimal, 0.045)

t is the time frame (here, it is 13 years, so t = 13)

<em>we can plug the numbers into the formula and solve for F:</em>

<em>F=P(1+r)^t\\F=2000(1+0.045)^{13}\\F=2000(1.045)^{13}\\F=3544.4</em>

<em>rounded to the nearest whole number, the </em><em>population after 13 years would be 3544</em>

3 0
3 years ago
Read 2 more answers
Which is traveling faster, a car whose velocity vector is 201 + 25), or a car whose velocity vector is 30i, assuming that the un
Snowcat [4.5K]

Answer:

2nd car is running faster than the first car by 2.01 units.

Step-by-step explanation:

Let's assume that

  • the velocity of first car,

v_1\ =\ 20i\ +\ 25j

  • and the velocity of second car

v_2\ =\ 30i

=> speed of first car,

u_1\ =\ \sqrt{(20)^2+(25)^2}

      =\ \sqrt{400+625}

       =\ \sqrt{1025}

       = 32.01 units

and speed of second car,

u_2\ =\ \sqrt{(30)^2+(0)^2}

        = 30 units

u_2\ -\ u_1\ =\ 32.01\ -30

               = 2.01 units

Hence, 2nd car is running faster than the first car by 2.01 units.

8 0
3 years ago
1: A woman buys a car making a $3,000 down payment and then agrees to make 48 monthly payments of $360. What is the total cost o
katrin [286]

Answer:

1. $20280

2. 117 h

Step-by-step explanation:

1.

to know the value of the car we have to add all the monthly payments with the $ 3000 that she paid at the beginning

x =  car value

x = $3000 + 48 * $360

x = $3000 + $17280

x = $20280

The total cost of the car is $20280

2.

To know how many hours I work in total we have to add the hours I work in each day 5 times with the 57 hours I work the following week

x =  hours that work in all

x = 5 * 12 + 57

x = 60 + 57

x = 117

work for 117 hours in all

7 0
3 years ago
Read 2 more answers
What is 0.057×10 equal
lbvjy [14]
0.057x 10 is equal to .57. All you have to do is move the decimal to the right one time because there is one zero in 10. 
8 0
3 years ago
I really need help would please like help thanks
ASHA 777 [7]
Hey there!

A reciprocal might be an unfamiliar vocab word, but the concept is really quite simple.

It's just a flipped fraction! Multiplying the flipped fraction by it's reciprocal gets you one, and that's how you check your answer.

So we have:

Reciprocal of 9/10 is 10/9, because 9/10 times 10/9 = 90/90 = 1

Reciprocal of 1/11 is 11/1, because 1/11 times 11/1 = 11/11 = 1

Reciprocal of 10(remember, it's 10/1) is 1/10, because 10/1 times 1/10 = 10/10 = 1

Hope this helps!
4 0
3 years ago
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