Answer:
The man sold 190 tie-dyed T-shirts
Step-by-step explanation:
This problem can be modeled by a system of equations.
I am going to call x the number of tie-dyed T-shirts that the man sold and y the number of silk-screened shirts that he sold.
We have that he sold 5 times as many tie-dyed T-shirts as silk-screened shirts. So this gives us our equation 1)
1) x = 5y.
We also know that altogether, he sold 228 shirts. So this gives us our equation 2)
2) x + y = 228.
Now, we solve the system formed by equations 1) and 2)
x = 5y
x + 5y = 228
6y = 228
y = 38
x = 5*38
x = 190
So, in all, the man sold 190 tie-dyed T-shirts and 38 silk-screened T-shirts.
The first one... 3^10/3^3
39
6^2 + 12 - 3^2
36+12-9
39
Answer: 17/18
In words, this is seventeen eighteenths
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Work Shown:
4/9 + 9/18
8/18 + 9/18 ... see note below
(8+9)/18
17/18
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note: To go from 4/9 to 8/18, we multiply top and bottom by 2. So that's why 4/9 = 8/18.
The diagram below shows a visual representation of why 4/9 = 8/18.
In the top row, I've drawn out 9 rectangles of the same size. Then I've shaded 4 of the 9 rectangles to represent the fraction 4/9. In the bottom row, I've cut each of those 9 rectangles into two smaller equal pieces, so we have 9*2 = 18 rectangles now. Note how the shaded regions are the same size, so this shows 4 green regions doubles to 2*4 = 8 yellow regions; therefore 4/9 is the same as 8/18.
Answer:
An equation is a mathematical statement that shows the equal value of two expressions while an inequality is a mathematical statement that shows that an expression is lesser than or more than the other. 2. An equation shows the equality of two variables while an inequality shows the inequality of two variables.
