Ask question

Ask question

All categories

BlackZzzverrR [31]

3 years ago

7

In a class of 60 students, 5 recieved a grade of A. What fraction of the class did not recieve a grade of A. Reduce in lowest te

rms

2 answers:

sattari [20]3 years ago

5 0

Ok so if 5 people got an a that means 55 did not receive an a so do 55 over 60 ok they both have a 5 in common 5 goes into 55 11 times and5 goes into 60 12 times so your answer is 11/12

Nastasia [14]3 years ago

5 0

60 minus 5 = 55
55/60 simplified = divide both by 5 = 11/12

You might be interested in

Problems 2.21, 2.22, 2.23

RoseWind [281]

Statements can be proved by contrapositive, contradiction or by induction.

<em>2.21 and 2.23 are proved by contrapositive</em>
<em>2.22 is proved by induction</em>

<u />

<u />

<u>2.21: If </u> $n^3$ <u> is even, then n is even (By contrapositive)</u>

The contrapositive of the above statement is that:

<em>If n is odd, then </em> $n^3$ <em> is odd</em>

Represent the value of n as:

$n = 2k + 1$ , where $k \ge 0$

Take the cube of both sides

$n^3 = (2k + 1)^3$

Expand

$n^3 = 8k^3 + 6k^2 + 6k + 1$

Group

$n^3 =[ 8k^3 + 6k^2 + 6k] + 1$

Factor out 2

$n^3 =2[4k^3 + 3k^2 + 3k] + 1$

Assume w is an integer; where:

$w =4k^3 + 3k^2 + 3k$

So, we have:

$n^3 =2w + 1$

The constant term (i.e. 1) means that $n^3$ is odd.

Hence, the statement has been proved by contrapositive.

<em>i.e. If n is odd, then </em> $n^3$ <em> is odd</em>

<u />

<u>2.22 </u> $3n + 4$ <u> is even, if and only if n is even</u>

We have: $3n + 4$ <u />

<u />

Assume that: $n = 2k + 2$ for $k \ge 0$

So, we have:

$3n + 4 = 3(2k + 2) + 4$

Open bracket

$3n + 4 = 6k + 6 + 4$

$3n + 4 = 6k + 10$

Factorize

$3n + 4 = 2(3k + 5)$

The factor of 2 means that $3n + 4$ is even.

<em>Hence, </em> $3n + 4$ <em> is even, if and only if n is even </em>

<em />

<u />

<u>2.22: </u> $s \ne -1$ <u> and </u> $t \ne -1$ <u>, then </u> $s + t + st \ne -1$ <u />

To do this, we prove by contrapositive.

The contrapositive of the above statement is:

If $s = -1$ and $t=-1$ , then $s + t + st = -1$

We have:

$s + t + st = -1$

Substitute the values of s and t in: $s + t + st = -1$

$-1 -1 -1 \times -1 = -1$

$-1 -1 + 1 = -1$

$-1 = -1$

Hence, by contrapositive:

If $s = -1$ and $t=-1$ , then $s + t + st = -1$

Read more about proofs at:

brainly.com/question/19643658

7 0

3 years ago

Sam is flying from Columbus, Ohio to Kralendijk, Bonaire, a distance of 2,488 miles. First, he flies 995 miles to Miami, Florida

kogti [31]

Answer:

460 miles

Step-by-step explanation:

Given

Total = 2488 miles

Miami = 995 miles

San Juan = 1033 miles

Required

Determine the remaining distance

Assuming the points are on a straight path.

The remaining distance is:

Remainder = Total - Miami - San Juan

Remainder = 2488 - 995 - 1033

Remainder = 460 miles

4 0

2 years ago

Dave bought 8 more Xbox games than Kevin Dave bought 12 games. how many games did Kevin buy

Nadusha1986 [10]

Answer: 12 -8 = 4

Step-by-step explanation:

5 0

3 years ago

How do I do this? Help please!

mr_godi [17]

Answer:

im sorry not in algebra ll

4 0

2 years ago

If 7 - 1 is 6 then what would it be if you multiply it by 11700 and subtract by 5000?

steposvetlana [31]

Answer: 65200

7 - 1 = 6 x 11700 = 70200 - 5000 = 65200

8 0

2 years ago