1Approximately 5 out of every 8 students at Kendra's college live on campus. The college has 5,000 students. How many of them live on campus?=3,125 students

2. Solve for the unknown: 2/3/10=1.8/r=27

3. Find the best buy on cashews (1 lb is 16 oz).1 lb 4 oz for $7.09
4. A baseball team wins 11 of its 25 games with no ties. Write the ratio of wins to losses. =11/25

5. Talon reads 1,000 words in 5 minutes, and Samantha reads 650 words in 2 minutes. Who is the faster reader?
Samantha at 325 words per min.

6. Solve for the unknown: 8/52=m/39= 6

#1, 4, and 5 are correct

#2....
Do not "bounce" equal signs across a line
Secondly,
2/3/10 is ambiguous
does it mean (2/3)÷10 which would be 1/15
or
does it mean 2 ÷ (3/10) which would be 20/3

#3 appears incomplete , there is no second option for comparison.

#6 m=6 is the correct solution.
Again, please do not bounce the equal sign

can you explain what bounce equal signs across kines mean?

When writing out statements of equality, there should be only one equal sign per line

when you say,
8/52=m/39= 6
I could take the last part and say
m/39= 6
then m = 234

start a new line for each equivalence

e.g.

3(2x+5) = x+5
6x + 15 = x + 5
5x = -10
x = -2

ok thanks i didn't realize what i did thanks

To solve these math problems, I'll explain the steps you can take:

1. To find the number of students at Kendra's college who live on campus, we can use the given ratio. 5 out of 8 students live on campus, so we can set up a proportion:

5/8 = x/5000

Cross-multiplying, we get:

8x = 5000 * 5
8x = 25000
x = 25000/8
x ≈ 3125

Therefore, approximately 3125 students live on campus.

2. For this problem, we have an equation with multiple fractions. We can solve it step by step:

2/3 / 10 = 1.8/r / 27

First, let's simplify the left side of the equation by dividing the fractions:

2/3 / 10 = 2/3 * 1/10 = 2/30 = 1/15

Now our equation becomes:

1/15 = 1.8/r / 27

To find r, we'll cross-multiply:

27 * 1.8 = 1/15 * r

Simplifying the left side:

48.6 = 1/15 * r

To solve for r, we'll multiply both sides by 15:

48.6 * 15 = r
r = 729

Therefore, the value of r is 729.

3. To find the best buy on cashews, we need to compare the prices per ounce. We have one option: 1 lb 4 oz for $7.09.

To convert 1 lb 4 oz to ounces, we multiply 1 by 16 (since 1 lb equals 16 oz) and add 4:

(1 * 16) + 4 = 20 oz

Now we can calculate the price per ounce:

$7.09 / 20 oz = $0.3545 per oz

Therefore, the best buy on cashews is $0.3545 per ounce.

4. The ratio of wins to losses for the baseball team is given as 11 wins out of 25 games.

To write the ratio, we simply use the numbers:

Wins : Losses = 11 : 25

Therefore, the ratio of wins to losses is 11/25.

5. To determine who is the faster reader between Talon and Samantha, we need to calculate their reading speeds in words per minute.

Talon reads 1,000 words in 5 minutes, so his reading speed is:

1000 words / 5 minutes = 200 words per minute

Samantha reads 650 words in 2 minutes, so her reading speed is:

650 words / 2 minutes = 325 words per minute

Since Samantha has a higher reading speed of 325 words per minute compared to Talon's 200 words per minute, Samantha is the faster reader.

6. To solve the equation 8/52 = m/39 = 6, we can approach it in a similar way as the previous problem by finding the missing variable.

First, simplify the equation to isolate m:

8/52 = m/39

Cross-multiplying, we have:

8 * 39 = 52 * m

Simplifying the left side:

312 = 52m

Divide both sides by 52 to solve for m:

312/52 = m
m = 6

Therefore, the value of m is 6.