Answer:
The actual distance between the two houses is:
3.2 km
Step-by-step explanation:
Proportions:
1cm ⇔ 100000 cm
3.2 cm ⇔ W cm
W = 3.2*100000/1
W = 320000 cm
1 km = 100000 cm
320000cm = 320000/100000 = 3.2km
Answer:
Step-by-step explanation:
Each ticket is $15. The number of tickets is what we are trying to solve for. The class spends a certain amount of money to prepare for the formal. They hope that the money they make in ticket sales is MORE than what they spend. The expression that represents the number of tickets at $15 each is 15x, where x is the number of tickets. They hope that the sales are greater than what they spend, so what we have so far is
15x >
Greater than what, though? What do they spend? They spend 600 for the food, so
15x > 600...
but they also have to print a certain, unknown number of tickets at .50 each. The expression that represents the printing of each ticket is .5x (we can drop the 0; it doesn't change the answer or make it wrong if we drop it off). So the cost for this affair is the food + the printing.
15x > 600 + .5x
Solve this inequality for x. Begin by subtracting .5 from both sides to get
14.5x > 600 so
x > 41.3
Because we are not selling (or printing) .3 of a ticket, it's safe to say (and also correct!) that they need to sell (and print) 41 tickets. If they sell 41 tickets, the profit is found by
15(41) > 600 + .5(41)
615 > 600
This means that at 41 tickets, they make a profit. At 40 tickets, the inequality looks like this:
15(40) > 600 + .5(40) and
600 > 620. This is not true, so 40 tickets isn't enough.
The given lines are perpendicular
Step-by-step explanation:
if Two lines are perpendicular then their slopes are
m
Where m₁ is slope of first line and m₂ is the slope of second line.
Since the lines are in slope-point form the standard form is:
where m is the slope
The slope of first line y= -9/5x + 1/5 is: m₁ = -9/5
The slope of second line y= 5/9x + 2/9 is: m₂= 5/9
So, m i.e 
So, The given lines are perpendicular
Keywords: Perpendicular lines, slope
Learn more about Perpendicular lines at:
#learnwithBrainly
Answer:
<em>The final price including tax is $41.89</em>
Step-by-step explanation:
The following items are on sale:
Sleeved dress $17.99
Skirt $16.19
T-shirt $8.99
Subtotal $43.17
The cheapest item is the T-shirt for $8.99 and it will be discounted by 30%:
$8.99 - 30/100 * $8.99 = $8.99 - $2.70 = $6.29
The total sale price is now: $43.17-$2.70=$40.47
Now we add the 3.5% tax:
$40.47 + 3.5/100 * $40.47 = $40.47 + $1.42 = $41.89
The final price including tax is $41.89
