<h3><u>The first number, x, is equal to 7.</u></h3><h3><u>The second number, y, is equal to 2.</u></h3>
x + 2y = 11
2x + y = 16
We can subtract 2y from both sides of the first equation to get a value for x.
x = 11 - 2y
Because we have a value for x, we can plug it into the second equation.
2(11 - 2y) + y = 16
Distributive property.
22 - 4y + y = 16
Combine like terms.
22 - 3y = 16
Subtract 22 from both sides.
-3y = -6
Divide both sides by -3.
y = 2
Now that we have a value for y, we can plug it into either equation to solve for x.
x + 2(2) = 11
x + 4 = 11
Subtract 4 from both sides.
x = 7
Let, S = Shirt, J = Jeans
14a)
This question asks for the discount to be added after everything else.
S= 12 J=19
3S + 2J -3 = Cost with discount applied to total
^ This expression adds to costs, then takes away the $3 discount as the end.
14b)
This questions says the discount is added on every shirt, we get a similar expression:
3(S-3) + 2(J-3) = Cost with discount applied on every shirt and jeans
14c)
The difference between a) and b) is that:
> the discount in a) is applied on the total, meaning a lower discount
> the discount for b) is applied on each shirt and jeans, meaning a greater discount
14d)
If I were the shop owner I would be more specific of what the discount included, for example we don't know whether to discount each product (shirts and jeans) or only discount the total.
The three integers are x, x+2, x+4
5(3x+6)=42+x(x+2)
15x+30=x^2+2x+42
x^2 - 13x +12=0
(x-12)(x-1) = 0
x = 12 or 1
since the integers have to be odd we exclude 12
integers are 1,3,5
Answer:
P" is then (-3, 2).
Step-by-step explanation:
If the point P(-6, 4) is translated 3 units to the right, the x-coordinate increases by 3 from -6 to -3 and the y-coordinate decreases 2 units from 4 to 2.
P" is then (-3, 2).
20r + 60t
The greatest common factor we can factor from both of these terms is 20.
20(r + 3t). This is the final answer.
