In how many ways can a teacher arrange 6 students in the front row of a classroom with a total of 20 students?

Answers

Answer 1
Answer: This is a combination of 20 studants, 6 to 6:

C_(2,6)=(20!)/((20-6)!6!)=(20!)/(14!6!)=(20.19.18.17.16.15.14!)/(14!.6.5.4.3.2.1)=38,760 \ ways

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Your baseball team is selling bags of popcorn to raise money for a trip. For each bag of popcorn you sell, $4 goes towards your trip. You hope to earn at least $140 for the trip. Write and solve an inequality that represents the numbers x of bags of popcorn you must sell to reach your goal.

Answers

The inequality function and the value of x is $4x > $140, and x = 35.

Given that,

  • The price should goes up by $4.
  • And, the minimum earnings should be $140.
  • Here we assume the number of popcorn bags be x.

Based on the above information, the inequality function is as follows:

$4x > $140

Now Divide it by both sides with 4

So,  

x= 35

Therefore we can conclude that the inequality function and the value of x is $4x > $140, and x = 35.

Learn more: brainly.com/question/15137133

To write the inequality...$4 per bag multiplied by the number of bags must be greater than or equal to $140.

$4x > $140
Divide both sides by 4
x=35

A game has a rectangular board with an area of 44 in2. There is a square hole near the top of the game board in which you must not toss in a bean bag. The square has side lengths of 3 in. What is the probability of not tossing the bag through the hole?A)9/44
B)3/9
C)3/44
D)35/44

Answers

A. 9/44 idk if it is the right anwser but good
Luck

Find the simplified form of (t^4/10y^4)^-4

Answers

The answer is [(10,000*y^16)/t^16]. At first, you have to distribute the exponent -4 to the numerator and denominator by virtue of the law of exponent, (a/b)^n = [(a^n)/(b^n)]. After distribution, you get (t^-16)/[(10^-4)*(y^-16)]. To simplify the negative exponent, follow the law of exponent: a^-m = 1/a^m. Thus, you now have [(10^4)*(y^16)]/(t^16). Hence, the answer is [(10,000*y^16)/t^16].

Miley music has a sale on music CDs all music CDs are discounted 15% Marianas receipt indicates that she saved $3 on her CD purchase what is the full price of her music CD before the discount

Answers

Answer: The original price of her music CD before discount is $20.

Step-by-step explanation:

Let x be the original price of her music CD.

Discount rate = 15%

At discount she saved = $3

So, According to question, our equation becomes

15%x= 3

0.15x= 3

x=$20

Hence, the original price of her music CD before discount is $20.

If x is the price before a sale
x-0.15x=x-3
0.85x=x-3
3=0.15x
x=20

The original price is $20

Marylou buys a package of 50 jewels to decorate 4 different pair of jeans.She uses the same number of jewels on each pair of jeans.How many jewels will she use for each pair of jeans?

Answers

She can use 12 jewels for each pair of jeans. In fact, using 12 jewels per jeans implies that she will use 12 \cdot 4 = 48 jewels. The two remaining jewels can't be used on any pair of jeans, otherwise she wouldn't use the same number of jewels for each jeans.

This derives from the fact that, if you divide 50 by 4, you get a result of 12 with a remainder of 2.

In a right triangle, if the length of the hypotenuse is 5 and the length of one of the other sides is 3, what is the length of the third side?​

Answers

Answer:

a^2+b^2=c^2

a^2+9=25(5*5)

therefore ,a^2=25-9=16

√16=4

   sides are 4 cm,3 cm,5 cm

Step-by-step explanation:

4.

Step-by-step explanation:

Pythagoras theorem says that "In a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides". As the Hypotenuse side is already yet given and one of the side of a triangle value is given. Now we should find the value for other side of a triangle. In order to find the value of other side, we should use the Pythagoras theorem formula.

AC²=AB²+BC²

Let AC be the Hypotenuse side, AB and BC be the other two sides of a triangle.

Given:-

AC=5,AB=3,BC=?

Use Pythagoras theorem formula

AC²=AB²+BC²

5²=3²+BC²

25=9+BC²

25-9=BC²

16=BC²

16=BC

BC=4.