Answer:
x = 8
Step-by-step explanation:
Step 1: Write equation
-5 + x = 3
Step 2: Solve for <em>x</em>
- Add 5 to both sides: x = 8
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
-5 + 8 = 3
3 = 3
First, find the percentage of the price after the sale occures
percent = 100% - 20%
percent = 80%
We need to find the price for the pairs with the percentage above
new price = percentage of new price/percentage of old price × old price
new price = 80%/100% × 55
new price = 4/5 × 55
new price = 44
The new price is $44
Now we estimate how much the tax
tax = 6% × 44
tax = 6/100 × 44
tax = 2.64
Calculate how much Josie will pay
pay = new price + tax
pay = 44 + 2.64
pay = 46.64
Josie will pay $46.64
Answer:
see explanation
Step-by-step explanation:
Since AB and BC are perpendicular, then
∠ABC = 90° and
∠ABD + ∠DBC = ∠ABC ← substitute values
3r + 5 + 5r - 27 = 90, that is
8r - 22 = 90 ( add 22 to both sides )
8r = 112 ( divide both sides by 8 )
r = 14
Hence
∠ABD = 3r + 5 = (3 × 14) + 5 = 42 + 5 = 47°
∠DBC = 5r - 27 = (5 × 14) - 27 = 70 - 27 = 43°
Answer:
25-5n/4
Step-by-step explanation: