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Akimi4 [234]
2 years ago
8

Mateo has 7/2 pounds of apples. He needs 3/4 pounds of apples for each batch of applesauce. How many batches of applesauce can

Mathematics
1 answer:
Annette [7]2 years ago
6 0

Answer:

4

Step-by-step explanation:

Given that:

Total pounds of apple = 7/2 pounds

Pounds of apple needed per batch of applesauce = 3/4 pounds

Number of batches of applesauce which can be made :

Total pounds of apple / pounds of apple needed per batch

7/2 ÷ 3/4

7/2 * 4/3

= 28/6

= 4 4/6

= 4 2/3

Hence, number of batches of applesauce which can be made is 4

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7 girls audition for 12 roles in a school play. What is the probability that at least 2 of the girls audition for the same part?
Sophie [7]

Answer:

Step-by-step explanation:

This is one minus the probability that all the girls audition for different roles. The total number of ways of assigning roles to the girls is 12^7, because to each of the 7 girls, you have a choice of 12 roles.

Then if each girl is to receive a different role, then there are 12!/5! possibilities for that. If you start assigning roles to the girls, then for the first girl, there are 12 choices, but for the next you have to choose one of the 11 different ones, so 11 for the next, and then one of the 10 remaining for the next etc. etc., and this is 12*11*10*...*6 = 12!/(12-7)! =12!/5!

The probability that a random assignment of one of the 12^7 roles would happen to be one of the 12!/5! roles where each girl has a different role, is

(12!/5!)/12^7 = 12!/(12^7 5!)

Then the probability that two or more girls addition for the same part is the probability that not all the girls are assigned different roles, this is thus:

1 - 12!/(12^7 5!)

6 0
2 years ago
If four is half of five and two thirds of six is nine. what is thirty-two?
valkas [14]
Four is IV which is half of five. IX is nine which is 2 thirds of 6 so... thirty-two is 1 5/6
5 0
2 years ago
100/225 square feet of your bakery will be used as your storefront, where customers come visit. The rest kill be used for storag
Lelu [443]
The answer is 5/9. I showed a bit more work on the other post
7 0
2 years ago
K is the midpoint of segment HL . H has coordinates (1, -7 ) , and K has coordinates(-9, 3 ). Find the coordinates of other end
Andrei [34K]

Answer:

Coordinates of other end point L = ( -19, 13 )

Explanation:

 The mid point of the coordinates (a,b) and (c,d) is given by (\frac{a+c}{2},\frac{b+d}{2})

 Here we have (a,b) = (1,-7) and (\frac{a+c}{2},\frac{b+d}{2}) = (-9,3) , we need to find (c,d).

 \frac{a+c}{2} =-9\\ \\ 1+c=-18\\ \\ c=-19\\\\ \frac{b+d}{2} =3\\ \\ -7+d=6\\ \\ d=13

So coordinates of other end point L = ( -19, 13 )

8 0
2 years ago
Read 2 more answers
Amad was curious if triangles \triangle ABC△ABCtriangle, A, B, C, and \triangle EDF△EDFtriangle, E, D, F were congruent. He was
11111nata11111 [884]

Answer:

There is no error, Amad is correct.

Step-by-step explanation:

Khan Academy Checked.

3 0
2 years ago
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