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nadezda [96]
3 years ago
6

How can you use the multiplication property of equality to rewrite the equation 0.6x+4.8=7.2 so that the numbers in the problem

are intergers and not decimals?
Mathematics
1 answer:
Mars2501 [29]3 years ago
6 0

We are given the equation:

0.6 x + 4.8 = 7.2

 

In this case, the multiplication property of equality states that whatever is multiplied on one side should also be multiplied on the other side. Now we need to find the number that will make everything a whole number, in this case 5. Multiply everything by 5:

5 * (0.6 x + 4.8 = 7.2)

3 x + 24 = 36

However we can see that we can still further simplify the equation by multiplying everything by 1/3:

(1/3) * (3 x + 24 = 36)

x + 8 = 12

or

x = 4

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One survey estimates that,on average, the retail value of a mid sized car decreases by8% annually.if the retail value of a car i
Scrat [10]
Percentage by which the average value of mid sized car decreases each year = 8%
Retail value of a car today = v dollars
Amount of decrease in the value of the car after 1 year = (8/100) * v
                                                                                         = 2v/25 dollars
Then
The equation that represents the value of the car after 1 year = v - (2v/25) dollars
                                                                                                   = (25v - 2v)/25 dollars
                                                                                                   = 23v/25 dollars
So following this expression the value of the mid sized car can be easily determined after 1 year. I hope this is the answer you were looking for and the procedure is also clear to you.
5 0
3 years ago
Read 2 more answers
. The volume of a box is 405 cubic units. The length is x units, the width 4 units greater than the length, and the height is 9
lukranit [14]

Answer:

length = 5

width = 9

Step-by-step explanation:

V = lwh

let 'x' = length

let '4+x' = width

9 = height

405 = 9x(4+x)

405 = 36x + 9x²

this is a quadratic equation:  9x² + 36x - 405 = 0

factor out a 9 to get:

9(x² + 4x - 45) = 0

9(x-5)(x+9) = 0

one root is 5 and the other is -9

since distance cannot be negative we use 5 as the length and 9 is the width

3 0
2 years ago
A tank and a pail contained a total of 962 ml of water. When 250 ml of water was poured from the pail to the tank, the amount of
Allisa [31]

By solving a system of equations, we will see that the pail originally contained 382.9 ml.

<h3>How to write the system of equations?</h3>

First, we need to define the variables, we will use:

  • T = amount of water in the tank.
  • P = amount of water in the pail.

First, we know that the total amount of water is 962 ml, then we have:

P + T = 962 ml.

We also know that if we pour 250 ml from the pail to the tank, the amount of water in the tank will be 12 times the amount of water in the pail, this is written as:

T + 250ml = 12*(P - 250ml)

Then the system of equations is:

P + T = 962 ml

T + 250ml = 12*(P - 250ml)

To solve this, first, we need to isolate one of the variables in one of the equations, I will isolate T in the first one:

T = 962 ml - P

Now we replace this into the other equation to get:

(962 ml - P) + 250ml = 12*(P - 250ml)

Now we can solve this for P.

962 ml + 250 ml - P = 12*P - 12*250 ml

1,212 ml - P = 12*P - 3,000 ml

1,212  ml + 3,000 ml = 12*P - P

(4,212 ml)/11 = P = 382.9 ml

So the pail originally contained 382.9 ml

If you want to learn more about systems of equations, you can read:

brainly.com/question/13729904

4 0
2 years ago
If x-7=14, then what is the value of x-2
Volgvan
If  x- 7 = 14 then X = 21. so 21-2= 19.      :)
4 0
3 years ago
Read 2 more answers
You earn $15 every 3 weeks. at this rate how much will you earn in 5 weeks ​
zhannawk [14.2K]

Answer:

$25

Step-by-step explanation:

We know that in 3 weeks you get $15 now you can divide 3 by 15 to get $5 per week so since we know how much you earn per week you multiply $5 by 5 weeks to get $25

4 0
2 years ago
Read 2 more answers
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