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Fed [463]
2 years ago
7

1. If the NCAA has applications from 24 universities for hosting its intercollegiate tennis championships in 2020 & 2021, ho

w many ways may they select the hosts for these championships if they both can be held at the same university?
2. There are 10 horses running in the big race this weekend. How many different ways can that groups of horses finish 1st, 2nd, or 3rd if you know that horse #5 comes in last place?

3. There are 5 questions on this quiz. Every question is either right or wrong. How many possible ways can you answer the questions if you answer all five?

4. In a primary election, there are 7 candidates for Governor of Maryland, 9 candidates for Treasurer, and 4 candidates for District Attorney. In how many ways can voters mark their ballots if they vote in all three of the races?

5. In how many ways can 6 people line up to get on a bus if you know that person #3 has to be first in line?
Mathematics
1 answer:
Oliga [24]2 years ago
4 0

Answer:

You have separated 4 aces from a deck of cards. A coin is tossed and one of ... If the NCAA has applications from 6 universities for hosting its intercollegiate ... They must choose a host city for the 2016 and 2017 championships. a. How many ways may they select the hosts for these events if they are not both to be held at.

Step-by-step explanation:

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A 20-ounce bag of popcorn costs $2.80. If the unit price stays the same, how much does a 35-ounce bag of popcorn cost?
Wittaler [7]

Answer:

I think the answer is C

4 0
3 years ago
What is the sum of 1/3 + 5 3/4 as a mixed number in simplest form
mart [117]

6 1/12 would be the answer

Rewriting our equation with parts separated

1/3+5+3/4

Solving the fraction parts

1/3+3/4=?

Find the LCD of 1/3 and 3/4 and rewrite to solve with the equivalent fractions.

LCD = 12

4/12+9/12=13/12

Simplifying the fraction part, 13/12,

13/12=11/12

Combining the whole and fraction parts

5+1+1/12=6 1/12

3 0
3 years ago
Need help plzzzzz !!
Wewaii [24]
They would be perpendicular. hope this helps.
7 0
3 years ago
According to the graph what is the value of the constant in the equation below
Trava [24]
Take the point (10,5)
5 = constant  / 10

constant = 5*10  = 50

also for the point (4 , 12.5)  constant = 4*12.5 = 50

Answer is 50 
5 0
3 years ago
Given: KLMN is a trapezoid m∠N = m∠KML ME ⊥ KN , ME = 3√5 , KE = 8, LM:KN = 3:5 Find: KM, LM, KN, Area of KLMN
lora16 [44]
Q1)Find KM
As ME is perpendicular to KN, ∠KEM is a right angle
Therefore ΔKEM is a right angled triangle 
KE is given and and ME is also given, we need to find KM
for this we can use Pythogoras' theorem where the square of hypotenuse is equal to the sum of the squares of the adjacent sides.
KM² = KE² + ME²
KM² = 8² + (3√5)²
       = 64 + 9x5
KM = √109
KM = 10.44

Q2)Find LM
It is said that ratio of LM:KN is 3:5
Therefore if we take the length of one unit as x
length of LM is 3x
and the length of KN is 5x
KN is greater than LM by 2 units 
If we take the figure ∠K and ∠N are equal. 
Since the angles on opposite sides of the bases are equal then this is called an isosceles trapezoid. So if we draw a line from L that cuts KN perpendicularly at D, ΔKEM and ΔLDN are congruent therefore KE = DN
since KN is greater than LM due to KE and DN , the extra 2 units of KN correspond to 16 units 
KN = LM + 2x 
2x = KE + DN
2x = 8+8
x = 8
LM = 3x = 3*8 = 24

Q3)Find KN 
Since ∠K and ∠N are equal, when we take the 2 triangles KEM and LDN, they both have;
same height ME = LD perpendicular distance between the 2 parallel sides 
same right angle when the perpendicular lines cut KN
∠K = ∠N 
when 2 angles and one side of one triangle is equal to two angles and one side on another triangle then the 2 triangles are congruent according to AAS theorem (AAS). Therefore KE = DN 
the distance ED = LM
Therefore KN = KE + ED + DN
 since ED = LM = 24
and KE + DN = 16
KN = 16 + 24 = 40
another way is since KN = 5x and x = 8
KN = 5 * 8 = 40

Q4)Find area KLMN
Area of trapezium can be calculated using the following general equation 
Area = 1/2 x perpendicular height between parallel lines x (sum of the parallel sides)
where perpendicular height - ME
2 parallel sides are KN and LM
substituting values into the general equation
Area = 1/2 * ME * (KN+ LM) 
         = 1/2 * 3√5 * (40 + 24)
         = 1/2 * 3√5 * 64
         = 3 x 2.23 * 32
         = 214.66 units²


8 0
3 years ago
Read 2 more answers
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