pablo drove 240 mies using 9 gallons of gas. At this rate how many gallons of gas would he need to drive 216 miles?

Mathematics

1 answer:

adell [148]3 years ago

8 0

He would need 8 gallons of gas

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There are 21 mathematic majors and 129 computer science majors at a college. A) How many ways are there to pick 4 representative

kirza4 [7]

Answer: 1,733,760

Step-by-step explanation:

The number of combinations of selecting m things from n things is given by :-

$^nC_m=\dfrac{n!}{m!(n-m)!}$

Given : There are 21 mathematics majors and 129 computer science majors at a college.

Then, the number of ways to pick 4 representatives, so that 2 are mathematics majors and the other 2 are computer science majors :-

$^{21}C_2\times^{129}C_2\\\\=\dfrac{21!}{2!(21-2)!}\times\dfrac{129!}{2!(129-2)!}\\\\=\dfrac{21\times20\times19!}{2\times19!}\times\dfrac{129\times128\times127!}{2\times127!}\\\\=210\times8256= 1733760$

Hence, the number of ways to pick 4 representatives, so that 2 are mathematics majors and the other 2 are computer science majors =1,733,760

7 0

3 years ago

I'm kinda lost in this problem. Can you teach me how to solve these

boyakko [2]

53) Vertical angles are congruent, so $m\angle IDA=121^{\circ}$

54) $\angle YDA$ and $\angle YDF$ are supplementary, so $m\angle YDA=180^{\circ}-121^{\circ}=59^{\circ}$

55) Because vertical angles are congruent, $m\angle FDI=59^{\circ}$ . Now, because DR bisects $\angle FDI$ , this means $m\angle RDI=\frac{59}{2}=29.5^{\circ}$