20 pencils in 30 sec
multiply all by two so we are working in min
40 Pencils in 1 min
multiply it all by 60
2400 Pencils in an hour
multiply by two
4800 in two hours
Another of the same type of thing, two variables, two equations, enough info to suss out the details. In this type of problem check the total against one of the factors to see if there’s an even division, that’s usually the avenue that leaves the prettiest whole numbers. Here you could solve the first one for s, ending up with 135/5 and 3/5
3l + 5s = 135
5s = 135-3l
Sub that s into the other equation:
9l + 7s = 279
9l + 7(27-0.6l) = 279
9l + 189-4.2l = 279
4.8l = 90
l = 18.75
Toss that into one of the equations and solve for exact s:
9l + 7s = 279
9(18.75) + 7s = 279
Hope it helps to learn it, you have many avenues to approach it, solving either equation for either variable to begin with. If your numbers get ugly or you’re getting frustrated sometimes helps to start over, maybe start with the other equation or a different variable, maybe you’ll come across the method they designed the problem with that gives “pretty” numbers, but if you keep going even with irrational numbers like 8.6666666666666666666666, you’ll get the right answer no matter which place you start.
number of poples bought=number per box times number of boxes
75=15 times number of box
divide both sides by 15
5=number of boxes
should buy 5 boxes
You buy 2 boxes of doughnuts for 3.99 each 3 boxes for 4.49 each and 1 box chocolate for 4.99 you pay the cashier 50 dollars how much change you get back
A bed & bath company intends to ship out 28,457 blue blankets, and three times as many white blankets. If each box contains 55 blankets of either color, how many full boxes of blankets can be packed, and how many blankets are left over for the last box?
For your first question, consider the difference between emergency care and elective surgery. Elective surgery is planned out in advance and is considered a luxury to those who can pay for it only. In some situations, people can opt out of treating something with surgery, especially if it’s expensive, and may try other methods of treating what they have if other options exist. Also, as the price of a surgery procedure gets higher, less people will be able to pay for it, decreasing the demand. On the contrary, when it’s an emergency, people will often value the life of the urgent patient above all else, including money. Therefore, it can be assumed that urgent care will always be demanded regardless of its price fluctuation.
For your second question, consider the general consensus of people who purchase health care (in general). These people likely think about the possibility of falling ill and needing the health care in the first place. These people also likely think of all that could happen on vacation, especially to foreign countries where immunities and illnesses could be very different, and would like to minimize the possibility of getting ill as much as possible. So, it would make sense that someone who buys more health care would spend less on vacationing and vice versa.
Hope this helped you out! 🙂
138) Amanda and Jenny are selling fruit for a school fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Amanda sold 5 small boxes of oranges and 5 large boxes of oranges for total of $155. Jenny sold 10 small boxes of oranges and 12 large boxes of oranges for a total of $ 346. Find the cost each of one small box of oranges and one large box of oranges?.
The point that lie on the line is:
We are given that a line passes through the point (0,-1) and has a slope of 2.
We know that the equation of a line passing through (a,b) and having slope m is given by:
Here we have: (a,b)=(0,-1) and m=2
This means that the equation of line is:
Now we will check which option is true.
Hence, option: A is incorrect.
Hence, option: B is correct.
Hence, option: C is incorrect.
Which situation involves descriptive statistics? A) The food cans have a mean shelf life of 14 months. B) The study estimates that 10% of the fish died as a result of the drought. C) According to a poll, about 12% of our customers have returned at least one item. D) The sample indicates that the mean weight of all the boxes is 3.3 kg.
The Embargo Act placed a restriction on trade after European ships harassed U.S. vessels.
The Embargo Act, adopted by the United States Congress in 1807, imposed a full embargo on the French Empire involved in the war and Great Britain.
The embargo was a response to violations of the neutrality of the United States by seizing US merchant ships and merchandise as a prism by the navies of both European countries. In addition, the Royal Navy used the forced incorporation of American citizens into the crews of warships. Both Great Britain and France resorted to plundering American units as a way to sustain the war effort. The Chesapeake Leopard Affair was the brightest and most painful example of this policy for the citizens of the young American nation.
President Thomas Jefferson acted prudently in trying to match the response to the public’s agitation. His recommendation was economic warfare, not military mobilization. Congress passed the Embargo Act on December 22, 1807. The expected effects of this drastic move were to force both France and Britain to withdraw from robbery activity, forced enlistment and to respect the neutrality of the United States. The embargo turned out to be an impractical measure, as it was both a diplomatic and economic failure. After its introduction, it imposed great burdens on the American economy and citizens.
The extensive circumvention of the restrictions on maritime and land trade by American merchants and the legal loopholes in the act have significantly reduced the embargo. British merchants have appropriated the lucrative trade routes left by Americans. Demand for English goods in South America increased, which compensated for the losses suffered as a result of the embargo.
The bill also undermined the national unity, causing strong protests, especially in New England’s commercial centers. It intensified support for the Federalist Party and contributed with it to obtaining a large number of seats in Congress.
On March 1, 1809, after 15 months, in the last days of President Jefferson’s term, the embargo was canceled.
The length of the blanket should be less than or equal to 60 inches.
The width should be greater than or equal to 30 inches.
Let the length of the blanket be = l
Let the width of the blanket be = w
Charlene wants the width, w, to be at least half its length, l. This can be shown as :
She estimates that she has enough yarn to put fringe around the blanket, as long as the perimeter of the blanket is no more than 180 inches.
This can be shown as :
So, we get length of the blanket should be less than or equal to 60 inches.
And the width should be greater than or equal to 30 inches.
The maximum area that can be enclosed is 40000 feet square.
Given : If 800 feet of fencing is used to enclose a rectangular plot of land that borders a river.
To find : What is the maximum area that can be enclosed?
Let the width of the rectangular is x feet.
We have given 800 feet of fencing i.e. perimeter = 800 feet.
Perimeter of rectangle is
The area of the rectangle is
To maximize the area derivate w.r.t x
i.e. width of the rectangle is x=200.
The length of the rectangle is
The area of the rectangle is
Therefore, The maximum area that can be enclosed is 40000 feet square.
Seven vans each hold 6 passengers. Each passenger is carrying 20 candies divided equally among 5 small boxes. How many candies are on the vans? 840 candies 4200 candies 168 candies 120 candies