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3 years ago

HELP!

Mathematics

2 answers:

Ber [7]3 years ago

5 0

Answer:

U think the answer is C.

Marianna [84]3 years ago

3 0

Answer:

Number of ways of selecting two students is 15

Step-by-step explanation:

number of ways of selecting n out of r is given by

$n_{C_{r} } =\frac{n!}{r!(n-r)!}$

It is given that there are 6 seniors on student council.

2 students are selected for district meeting

So we have $n= 6$ and $r=2$

number of ways of selecting two students = $6_{C_{2} }$

= $\frac{6!}{2!(6-2)!}$

= $\frac{6!}{2!4!}=15$

So we have number of ways of selecting two students is 15

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Step-by-step explanation:

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3 years ago

Which is bigger one seventh of 14 or half of 36? (this is a ratio)

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Half of 36 is greater than one seventh of 14

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3 years ago

Gina's literacy bucket weighs 6 pounds. Her novel weighs 1 4/6 pounds, and her chrome book weighs 2 1/6 how much would her bucke

Paraphin [41]

Answer:

$2\frac{1}{6}$ pounds.

Step-by-step explanation:

We have been given that Gina's literacy bucket weighs 6 pounds. Her novel weighs 1 4/6 pounds, and her chrome book weighs 2 1/6.

To find weight of bucket after taking out the two items, we will subtract weight of each item from 6 pounds as:

$\text{Weight of bucket}=6-1\frac{4}{6}-2\frac{1}{6}$

Let us convert mixed fractions into improper fractions as:

$1\frac{4}{6}=\frac{6\cdot 1+4}{6}=\frac{10}{6}\\\\2\frac{1}{6}=\frac{6\cdot 2+1}{6}=\frac{12+1}{6}=\frac{13}{6}$

$\text{Weight of bucket}=6-\frac{10}{6}-\frac{13}{6}$

$\text{Weight of bucket}=\frac{6\cdot 6}{6}-\frac{10}{6}-\frac{13}{6}$

$\text{Weight of bucket}=\frac{36}{6}-\frac{10}{6}-\frac{13}{6}$

Combine numerators:

$\text{Weight of bucket}=\frac{36-10-13}{6}$

$\text{Weight of bucket}=\frac{13}{6}$

$\text{Weight of bucket}=2\frac{1}{6}$

Therefore, the weight of the bucket is $2\frac{1}{6}$ pounds.

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3 years ago

There are 52 cars in the movie theater parking lot. 12 more cars parked in the parking lot before the movie started but 3 cars l

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Answer:

Step-by-step explanation:

52 + 12 = 64

64-3 that left is 62 cars in the parking lot

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3 years ago

Read 2 more answers

A stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer. If the top laye

Svetlanka [38]

Answer: The total number of logs in the pile is 6.

Step-by-step explanation: Given that a stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer and the top layer has two logs.

We are to find the total number of logs in the pile.

Let n represents the total number of logs in the pile.

Since each subsequent layer has 6 fewer logs then the previous layer, so the number of logs in each layer will become an ARITHMETIC sequence with

first term, a = 32 and common difference, d = -6.

We know that

the n-th term of an arithmetic sequence with first term a and common difference d is

$a_n=a+(n-10)d.$

Since there are n logs in the pile, so we get

$a+(n-1)d=2\\\\\Rightarrow 32+(n-1)(-6)=2\\\\\Rightarrow 32-6n+6=2\\\\\Rightarrow 6n=36\\\\\Rightarrow n=6.$

Thus, the total number of logs in the pile is 6.

6 0

3 years ago