Ken buys a bag of 70 marshmallows.

Aisha paid sh 1800 for a chair after 10% discount was allowed. how much would she have paid for the chair had she been allowed a

cupoosta [38]

Answer:

216

Step-by-step explanation:

4 0

2 years ago

Tameron is driving 540 miles to college. If he drives at an average rate of 45 miles per hour, how many hours will it take him t

gulaghasi [49]

3/4 of 540 is 540×0.75=405 miles
405÷45=9 hours
It will take Tameron 9 hours to drive to his college.

7 0

3 years ago

If () = |2 + 4| then Solve: () = 24

andreyandreev [35.5K]

Answer:

Step-by-step explanation:

The answer is 34.

As we can see that in the first sum we have given the sum 1+4 and it's genuine answer is 5 according to the defined addition rule but if we will add 0 to 5 , then also the answer will be the same.Hence the sequence goes as such

1+4= 5+0=5

Now we will keep adding ‘the result which we have got in the preceding sum’ to the genuine answer which we are getting on adding the two given numbers.

So , 2+5 gives it's genuine answer as 7 but on adding 5 to it which we have got as result in the preceding sum(1st sum) ,we will get :

2+5=7+5=12

Hence ,we can generalise the formula as:

Let the given numbers whose sum is to be found are ‘a’ and ‘b’ where a is the 1st number and b is the second number, then

a+b = genuine answer according to normal addition rule+ result of the preceding sum

For 1st sum we have taken ‘0’ as the result of the preceding sum. Therefore in 3rd sum:

3+6=9 (genuine answer )+12 (result of the 2nd sum)=21

Hence , 5+8= 13 (genuine answer )+ 21 (result of 3rd sum)=34.

Hope. .it will help....stay tuned

7 0

4 years ago

If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by y = 56t − 1.86t^2. F

makkiz [27]

Answer:

Step-by-step explanation:

Average speed is the change in distance of a body with respect to time. This is expressed as:

$v = \delta y/\delta t\\v = \dfrac{y(t_2)-y(t_1)}{t_2-t_1}$

Given the function of the height in metres expressed as y = 56t − 1.86t² and time interval [1,2]

t₁ = 1sec and t₂ = 2 secs

y(t₂) = 56t₂ − 1.86t₂²

y(2) = 56(2) − 1.86(2)²

y(2) = 112-7.44

y(2) = 104.56

y(t₁ ) = 56t₁ − 1.86t₁ ²

y(1) = 56(1) − 1.86(1)²

y(1) = 56-1.86

y(1) = 54.14

Substituting the derived value into the formula for finding the average speed:

$v = \dfrac{y(t_2)-y(t_1)}{t_2-t_1}\\\\v = \dfrac{104.56-54.14}{2-1}\\\\v = \dfrac{50.42}{1}\\\\v = 50.42m/s$

<em>Hence, the average speed over the given time intervals. [1, 2] is 50.42m/s</em>

4 0

3 years ago

(HMMT Combo 2009) Two jokers are added to a 52 card deck and the entire stack of 54 cards is shuffled randomly. What is the expe

myrzilka [38]

The expected number of cards from the card deck that will be strictly between the two jokers is $\frac{52}{3}$ .

The most popular deck of cards used today is a normal 52-card deck of French-suited playing cards. [a] It is the only standard pack[b] used for playing cards in English-speaking nations; but, in many other nations throughout the world, it is used alongside other traditional, frequently older, standard packs with various suit systems, like those with German-, Italian-, Spanish-, or Swiss suits. The English pattern pack is the only one widely accessible in Britain and America and the most popular pattern of French-suited cards globally. The Belgian-Genoese pattern, which was created in France but is also used widely in Spain, Italy, the Ottoman Empire, the Balkans, and much of North Africa and the Middle East, is the second most popular.

Let all pairs of the positions (m,n) of the jokers are equally likely

$P[0]=P[|m-n|=1]=\frac{53}{\left(\begin{array}{c}54 \\2\end{array}\right)}=\frac{2}{27}$

$P[1]=P[|m-n|=2]=\frac{52}{\left(\begin{array}{c}54 \\2\end{array}\right)}=\frac{104}{1431}$

$P[k]=P|m-n|=k+1=\frac{54-k-1}{\left(\begin{array}{c}54 \\2\end{array}\right)}$

the expected value will be

$\begin{array}{l}\sum_{k=1}^{52} \frac{54-k-1}{\left(\begin{array}{c}54 \\2\end{array}\right)} k \\=\frac{1}{1431}\left(\sum_{k=1}^{52} 53 k-k^{2}\right) \\=\frac{1}{1431}\left(\frac{53}{2}(52)(53)-\frac{1}{6}(52)(53)(105)\right)\\=\frac{52}{3}\end{array}$

Therefore, the expected number of cards that will be strictly between the two jokers is $\frac{52}{3}$ .

To learn more about card deck from the given link:

brainly.com/question/13477028

#SPJ4

5 0

2 years ago