Answer:
7.5
Step-by-step explanation:
Given;
- Bert earns $35,000 gross annual salary
- Any amounts earned up to $20,000 are taxed at x%
- Any amounts earned beyond $20,000 are taxed at 20%
- Bert pays $4,500 per annum in income tax
To find x
Amount earned beyond $20,000
= $35,000 - $20,000
= $15,000
That is the amount to be taxed at 20%
Therefore,
x% × 20000 + 20% × 15000 = 4500
200x + 3000 = 4500
200x = 4500 - 3000
200x = 1500
x = 1500/200
x = 7.5
Since y = 5x-1, we can fill it into 3x + 3y = -3. First, let's look at relating to a simpler equation. Let's say that x + y = 9 and y = 3 + 5. Now, we can fill it in to get that x + (3 + 5) = 9. Now, we know that 3+5 is 8, so x + 8 = 9. Now, x = 1. Likewise, we can do the same. For 3x + 3y = -3, all we need to do is to switch the y in 3x + 3y = -3 with 5x - 1. So it would become 3x + 3(5x - 1) = -3. Now we distribute to get 3x + 15x - 3 = -3. Now add three to both sides to get 3x + 15x = 0. Now simplify to get 18x = 0. Now we know that x = 0. Now fill x into y = 5x - 1. So y = 5(0) - 1. Now we know that y = -1.
To check fill in the answer to 3x + 3y = -3.
3(0) + 3(-1) = -3
0 + (-3) = -3
0 - 3 = -3
-3 = -3
Now that our check is completed we now know that x is 0 and y is -1.
B because
Solve for the first variable in one of the equations, then substitute the result into the other equation.

notice, that, pure juice is 100% juice, dohhh, thus 100/100 = 1.00
50% is 50/100 or 0.50 in decimal format
so..... whatever those two quantities amount to, that is, the 50% and pure juice, or (4)(0.50) + (x)(1.00)
they will equal the mixture desired 60% juice, or 0.60, namely (4+x)(0.60)
thus (4)(0.50) + (x)(1.00) = (4+x)(0.60)
solve for "x"