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aev [14]
3 years ago
6

Today only a sofa is being sold at a 24% discount . The sale price is $513. What was the price yesterday?

Mathematics
1 answer:
babymother [125]3 years ago
8 0
I couldn't solve the problem.
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How do you create linear equations from a word problem? Can someone please step me through how to make TWO equations for this??:
storchak [24]
Check out the image attachment for the filled out table. There may be more than one way to fill out the table, but I did it in the way I learned in the past.

Let's work through the table one row at a time
------------------------------------------------------------------------------
So we'll start with row 1

Row 1, column1: The value that goes here is 12 as each adult pays $12

Row 1, column2: You'll write 'a' without quotes here as there are 'a' adults ('a' is just a placeholder for a number)

Row 1, column3: Write 12*a or 12a here. Simply multiply the cost per adult ($12) with the number of adults (a). 
------------------------------------------------------------------------------
Now onto row 2

Row 2, column1: It costs $6 per young adult, so we write 6 here

Row 2, column2: There are y young adults. Write 'y' here without quotes

Row 2, column3: Write 6y here. Multiply the number of young adults with the price per young adult
------------------------------------------------------------------------------
Now onto row 3

Now we add up the values per each column to get the column totals

Row 3, column1: The individual costs 12 and 6 add to 18. We won't use this value but it doesn't hurt to write it in. If it is confusing to add in, then just ignore this cell. The reason why we won't use this is because the number of adults (a) and young adults (y) is not necessarily the same. If we were guaranteed they were the same, then we could use this value. But again there's no guarantee. It's probably best to steer clear of this cell.

Row 3, column2: We have 'a' adults and 'y' young adults. So a+y people total. This total is 8 as we know a family of 8 had been registered. So we write 8 in this box as well. The two expressions a+y and 8 are equal to each other allowing us to form the first equation a+y = 8

Row 3, column3: The cost for all the adults is 12a dollars. Similarly it costs 6y dollars for just the young adults. Adding up the two subtotals we get 12a+6y as the total cost for everyone. We're told that the family paid a total of $66. So like with the previous box, we can equate the two expressions getting us the second equation to be 12a+6y = 66
------------------------------------------------------------------------------

Again everything is summarized in the image attachment. 

The two equations we pull away from that table are
a+y = 8
12a+6y = 66
which is the system of equations to set up

7 0
3 years ago
find the area of a circle with a diameter of four. Either enter an exact answer in terms of Pi or use 3.14 for pi as a decimal ​
Serggg [28]

Answer:

4 pi

Step-by-step explanation:

diameter = 2r

4 =2r

r =2

area = pi × (r)^2

= pi × 2^2

= 4 pi

3 0
3 years ago
15 divided by 84<br> i need the answer now
Bingel [31]

Answer:

0.1785

Step-by-step explanation:

6 0
3 years ago
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The wheel was first documented as being used in Mesopotamia
Lilit [14]

Answer:

5,172 years

Step-by-step explanation: it the answer

4 0
3 years ago
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Jamal stands on a dock 1.5 meters above the surface of the water. A trout swims 4.8 meters below Jamal. What is the vertical dis
baherus [9]

Answer:

The correct answer is 4.8 meters.

Step-by-step explanation:

Jamal stands on a dock 1.5 meters above the surface of the water.

A trout swims 4.8 meters below Jamal.

The trout must be swimming below the surface of water.

Therefore the distance below the surface of water where the trout is swimming is 4.8 - 1.5 = 3.5 meters.

But the vertical distance between Jamal and the trout is 4.8 meters only.

5 0
3 years ago
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