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wariber [46]
3 years ago
7

A community college has 2,000 students and 50 instructors. Next year the enrollment will be 6,000. How many new instructors shou

ld be hired if the college wants to keep the same studentto instructor ratio?
Mathematics
1 answer:
juin [17]3 years ago
7 0
\begin{array}{ccc}2,000&-&50\\\\6,000&-&x\end{array}\\\\\\2,000x=50\times6,000\ \ \ \ \ /:2,000\\\\x=\frac{300,000}{2,000}\\\\x=150\\\\150-50=100\\\\Answer:100\ new\ instructors.
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How many zeros are in the product of any nonzero whole number less than 10 and 500
worty [1.4K]

Answer:

If the non-zero whole number is even, then there are 3 zeroes

If the non-zero whole number is odd, then there are 2 zeroes

Step-by-step explanation:

* <em>Lets explain the information in the problem</em>

- Whole numbers are positive numbers, including zero, without

 any decimal or fractional

- Nonzero whole numbers are positive numbers, not including zero

- The non-zero whole numbers less then 10 are:

  1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9

- The product of any nonzero whole number less than 10 and 500

  means multiply any of nonzero number above by 500

- The number of zeros in the product is equal to the sum of the

  number of zeros at the end of each of the factors.

# 1 × 500 = 5 × 100 ⇒ 2 zeros

# 2 × 500 = 2 × 5 × 100 = 10 × 100 ⇒ 3 zeros

# 3 × 500 = 3 × 5 × 100 = 15 × 100 ⇒ 2 zeros

# 4 × 500 = 2 × 2 × 5 × 100 = 2 × 10 × 100 ⇒ 3 zeros

# 5 × 500 = 5 × 5 × 100 = 25 × 100 ⇒ 2 zeroes

# 6 × 500 = 2 × 3 × 5 × 100 = 3 × 10 × 100 ⇒ 3 zeros

# 7 × 500 = 7 × 5 × 100 = 35 × 100 ⇒ 2 zeroes

# 8 × 500 = 2 × 2 × 2 × 5 × 100 = 4 × 10 × 100 ⇒ 3 zeros

# 9 × 500 = 3 × 3 × 5 × 100 = 45 × 100 ⇒ 2 zeros

- From all answers above:

# If the non-zero whole number is even (2 , 4 , 6 , 8), then there are

  3 zeros in the product

# If the non-zero whole number is odd (1 , 3 , 5 , 7 , 9), then there are

  2 zeros in the product

8 0
3 years ago
24 is 31.25% of what number? Prove your answer in the show your workbox.
FinnZ [79.3K]

Answer:

76.8

Step-by-step explanation:

1. We assume, that the number 31.25 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 31.25, so we can write it down as 100%=31.25.

4. We know, that x% equals 24 of the output value, so we can write it down as x%=24.

5. Now we have two simple equations:

1) 100%=31.25

2) x%=24

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=31.25/24

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24 is what percent of 31.25

100%/x%=31.25/24

(100/x)*x=(31.25/24)*x       - we multiply both sides of the equation by x

100=1.3020833333333*x       - we divide both sides of the equation by (1.3020833333333) to get x

100/1.3020833333333=x

76.8=x

x=76.8

now we have:

24 is 76.8% of 31.25

6 0
3 years ago
Read 2 more answers
Simplify the complex fraction. x+4x/y/7/3x
lora16 [44]
I hope this helps la la la

3 0
3 years ago
Read 2 more answers
If Johnny has 22 biscuits and Lucy has 5 how many biscuits does Ruby have?
stepan [7]

Answer:

Ummmmm none I guess

Step-by-step explanation:

rawr

4 0
2 years ago
Read 2 more answers
Please help. Show all work:)
Alex787 [66]

Answer:

  50

Step-by-step explanation:

(3+\sqrt{-16})(6-\sqrt{-64})=(3+4\sqrt{-1})(6-8\sqrt{-1})=2(3+4\sqrt{-1})(3-4\sqrt{-1})\\\\=2(3^2-(4\sqrt{-1})^2)=2(9-(-16))\\\\=2(25)=50

__

We make use of the special form for the difference of squares:

  (a+b)(a-b) = a²-b²

8 0
3 years ago
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