Christine runs 4 miles in 30 minutes. At the same rate, how many miles would she run in 48 minutes?

Mathematics

1 answer:

zavuch27 [327]3 years ago

8 0

Answer:

she would run 6.4 miles in 48 min

Step-by-step explanation:

hope it helps

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The sum of 5 consecutive integers is 270

antiseptic1488 [7]

Hello!

This can be written as

(x) + (x + 1) + (x + 2) + (x + 3) + (x + 4) = 270

Add all the values

5x + 1 + 2 + 3 + 4 = 270

Combine like terms

5x + 10 = 270

Subtract 10 from both sides

5x = 260

Divide both sides by 5

x = 52

So the numbers are 52, 53, 54, 55, 56,

Hope this helps!

4 0

3 years ago

You are trying to cast four roles for a play. 12 actors try out, including sir Ian McKellen and Patrick Stewart. the director te

Komok [63]

Answer:

6,840 casts

Step-by-step explanation:

Assuming that every actor can play each of the 4 roles and that each role is different, the number of possible casts including at least one of sir Ian and Patrick is given by the total number of possible casts (permutation of 4 out of 12 actors), minus the number of casts without sir Ian and Patrick (permutation of 4 out of 10 actors):

$n=\frac{12!}{(12-4!)} -\frac{10!}{(10-4)!}\\n=(12*11*10*9)-(10*9*8*7)\\n=6,840\ casts$