Answer:
Shorts: 38
T-Shirts: 152
Step-by-Step
The number of shorts sold can be written as (s) and the number of t-shirts sold can be written as (t)
We know that shirts are $2, and shorts are $4, and the total sales were $456, so the following equation can help us to find the answer, since if we add up the money from shirts and the money from shorts we’ll get the total sales.
4s + 2t = 456
Next, we know that shirts were bought 4 <em>times </em> <em>more </em>than shorts, so we can also write the following equation:
4s = t
Now, since we have a defined “value” for t
(<em>t = 4s), </em>we can substitute this value into the first equation.
4s+ 2(4s) = 456,
4s + 8s = 456,
12s = 456
s = 38
Now we can use this value in the second equation, and solve for t
4s = t
4(38) = t
152 = t
Answer:
x = (c+a)/2
y = (c-a)/2
Step-by-step explanation:
Add the two equations and you get ...
(x +y) +(x -y) = (c) +(a)
2x = c+a
x = (c+a)/2
--
Subtract the second equation from the first and you get ...
(x +y) -(x -y) = (c) -(a)
2y = c-a
y = (c-a)/2
_____
Comment on this problem
This is what I call a "sum and difference" problem. The solution shown here is (obviously) the generic solution to such a problem. Remembering this can get you quickly to the answer any time you're given the sum of two unknowns and their difference.
Factorisation is basically where you have to find everything in common between 2, 3 or 4 terms.
In factorization, you take out the like-terms. eg.
12x-6y
6(2x-y)
We have to find the HCF of 6 and 12 which is 6.
Here, the 6 is common (goes outside the bracket) and the other numbers (which are in the bracket) are uncommon.
Always remember in factorisation that:
+ and + = –
– and – = +
– and + = –
+ and – = –
Slope = (y2-y1) / (x2-x1)
=( (-4) - 1) / ( 1 - 2)
= (-5) / (-1)
=5
Hope I can help u
The area of a circle is PiR^2
We've gotten Pi left, so all we need to do is square root 196.
The square root of 196 is 14.