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AysviL [449]
2 years ago
11

What is the area of the trapezoid? Enter your answer in the box. *box*

Mathematics
1 answer:
Vanyuwa [196]2 years ago
4 0

Answer:

72 in

Step-by-step explanation:

Formula: A=a+b/2 h

A=a+b/2 h=8+16/2·6=72

You might be interested in
Select all expressions that are equivalent to 10q + 5 ?
OLga [1]

Answer:

5q + 5q + 5

2q + 5 + 8q

 

5(2q + 1)

Step-by-step explanation:

5 0
3 years ago
Ella and Amy are planning trips to
Vsevolod [243]

Applying the combination formula, the number of ways there are is: 66.

<h3>What is Combination?</h3>

Combination is a technique in maths used in selecting objects from a group of objects in a way that the order in which they are selected does not matter.

Combination formula is given as:

nC_r = \frac{n!}{r(n - r)!}

Given the following:

  • n = 12
  • r = 2

Plug in the values:

12C_2 = \frac{12!}{2(12 - 2)!}\\\\12C_2 = \frac{12!}{2(10)!}\\\\12C_2 = \frac{12 \times 11}{2(1)}

\mathbf{12C_2 = 66}

Therefore, applying the combination formula, the number of ways there are is: 66.

Learn more about combination on:

brainly.com/question/25821700

5 0
2 years ago
20. A computer game lets you build your own amusement park. Suppose
Sedbober [7]

Answer:

37500p - 750000 ≥ 30000 where p is the price of admission

Step-by-step explanation:

Lets work through it one bit at a time.

So, 25,000 a day to run it means every day you spend, or lose 25,000, so no matter what you will have - 25,000.

Using the daily average attendance , what if you charged 1 dollar per person, then each day you would make 1 dollar from each of the 1250 people, so each day you would make 1250 dollars.  if it were 2 dollars per person that's 2500 dollars from all the people.  let me know if you don't get that.

Now!  it says you want to change the ticket price, so let's call that p.  so now 1250p represents how much money you make.  of course you also have to subtract 25,000 from the first part so the EQUATION is 1250p - 25000.

Now, it wants an INEQUALITY to tell what price you should set to get 30,000 a month.  Well, for a 30 day month what does our equation look like?  30 days means you have 1250 people every day for 30 days, AND each day you lose 25000, so we multiply both by 30.  So now we have 37500p - 750000.  So now the equation tells us the profit for each 30 day month.

Finally we want the inequality to tell us the minimum amount to make at least 30,000 a month.  So in other words we want profit to be greater than or equal to 30,000

Profit ≥ 30000

37500p - 750000 ≥ 30000

Now you just use algebra to solve it.

37500p - 750000 ≥ 30000

37500p ≥ 780000

p ≥ 20.8

Which means admission for each person should be greater than or equal to $20.80.

Let me know if something was difficult to follow.  I also want to make a mention of something about inequalities, in case you didn't know.  If you ever have an inequality that looks like -5x < 15.  You would think you just divide both sides by -5.  With an inequality though, if you ever divide by a negative number you swap the direction fo the inequality sign.  so -5x < 15 becomes x > 3.  This took a while for me to memorize when I was learning so I always make a special point to mention it.

Anyway, I hope this makes sense.  Again, let me know if you need further help.  

8 0
3 years ago
Demarcus wants at least $18 to buy a
liq [111]

Answer:

18= 4+ x

Step-by-step explanation:

3 0
3 years ago
A farmer wants to plant peas and carrots on no more than 200 acres of his farm. If x represents the number of acres of peas and
AfilCa [17]

Answer:

Option D.(60, 135)

Step-by-step explanation:

Let

x -----> the number of acres of peas

y ----> the number of acres of carrots

we know that

The inequality that represent the problem is equal to

x+y\leq 200

so

<em>Verify each case</em>

case A) (-50,160)

substitute the value of x and the value of y in the inequality and then compare the result

-50+160\leq 200

110\leq 200 ----> is true

The point is a solution for the inequality, but is not a viable solution because the number of acres can not be a negative number

case B) (80,160)

substitute the value of x and the value of y in the inequality and then compare the result

80+160\leq 200

240\leq 200 ----> is not true

therefore

The point is not a solution

case C) (75,-200)

substitute the value of x and the value of y in the inequality and then compare the result

75-200\leq 200

-125\leq 200 ----> is true

The point is a solution for the inequality, but is not a viable solution because the number of acres can not be a negative number

case D) (60,135)

substitute the value of x and the value of y in the inequality and then compare the result

60+135\leq 200

195\leq 200 ----> is true

therefore

The point is a viable solution

5 0
3 years ago
Read 2 more answers
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