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Soloha48 [4]
3 years ago
8

An agency has 4,000 employees. 2,000 employees have at least two years of college education. 1,000 of those employees have bache

lors degrees. 1/4 of employees with bachelors degrees have graduate degrees. 1/5 of employees with graduate degrees have PhDs. What fraction of the agency's employees have PhDs?
Mathematics
1 answer:
weqwewe [10]3 years ago
5 0

Answer:

1/80 of the agency's employees have PhDs.

Step-by-step explanation:

Given that:

Total number of employees = 4000

Number of employees with bachelors degree = 1000

Fraction of employees with graduate degree = 1/4 of 1000 = 250

1/5 of the employees with graduate degrees have PhD.

Number of employees with PhDs = 1/5 of 250 = 50

Now,

Fraction of PhD employees to total employees = \frac{50}{4000} = \frac{1}{80}

Hence,

1/80 of the agency's employees have PhDs.

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write an equation in y=mx+b for a line that passes through (3,-4) & has a slope of -3. you can write it in point-slope and c
dedylja [7]
Y = -3x + b
Plug in point
-4 = -3(3) + b
-4 = -9 + b, b = 5
Solution: y = -3x + 5
5 0
3 years ago
A rectangle sand box has a length of 5 and 1/3 feet and a width of 3 and 3/4 feet. What is the perimeter?
Varvara68 [4.7K]

Answer:

Perimeter of rectangle = ⇒ 18\frac{1}{6} feet

Step-by-step explanation:

Given:

Length of a rectangular sand box = 5\frac{1}{3}\ feet

Width of the box = 3\frac{3}{4}\ feet

Perimeter of a rectangle = 2(l+w)

where l represents length of rectangle and w represents width of the rectangle.

Substituting values given for length and width.

Perimeter of sand box = 2(5\frac{1}{3}+3\frac{3}{4})\ feet

Simplifying by adding fractions:

⇒  2(5+3+\frac{1}{3}+\frac{3}{4})\ feet (Adding whole numbers and fractions separately)

⇒  2(8+\frac{1}{3}+\frac{3}{4}) feet

Whole number 8 can be written as \frac{8}{1}

⇒  2(\frac{8}{1}+\frac{1}{3}+\frac{3}{4}) feet

To add fractions we take LCD for the denominators 3,4,1.

LCD for 3 and 4 = 12 as its the least common multiple of 3,4,1.

Making denominators =12 by multiplying numerator an denominator with the corresponding numbers

⇒  2(\frac{8\times 12}{1\times 12}+\frac{1\times 4}{3\times 4}+\frac{3\times 3}{4\times 3}) feet

⇒  2(\frac{96}{12}+\frac{4}{12}+\frac{9}{12}) feet

Then we simply add numerators.

⇒  2(\frac{96+4+9}{12}) feet

⇒  2(\frac{109}{12}) feet

⇒  2\times \frac{109}{12} feet

⇒  \frac{218}{12} feet

Writing fraction as a mixed number by dividing 218 by 12 and writing quotient as whole number and remainder as numerator with divisor as denominator.

⇒ 18\frac{2}{12} feet

Simplifying fractions to simplest form.

⇒ 18\frac{1}{6} feet

Perimeter =⇒ 18\frac{1}{6} feet  (Answer)

5 0
3 years ago
A customer purchases 10 m dade co. florida 7.50% g.o. bonds at a 9.50 basis. how much interest will she collect each year? $75 $
crimeas [40]
In the value of bonds, the symbol "M" means "thousands.
Therefore, 10 M = 10,000$

So, the customer bought a coupon with 10,000$ and the expected annual interest is 7.5% of the coupon's value.

Calculating the value of interest is simple, just multiply the interest rate (7.5%) by the original value of the coupon to know how much interest she will collect each year.

Interest collected each year = (7.5 / 100) x 1000 = 750$

5 0
3 years ago
Please Help! 39 and 40 please!!! :D
Pavel [41]

Answer:

Look below.

Step-by-step explanation:

39.

10+ = 149 times x

3 - 9  = 143 times x

40.

2(w times 1.5 + w)

6 0
3 years ago
Help on question 2 please :/
irakobra [83]
40% is close to 50% which is = to 1/2
So just divide 60 by 2. which would be around 30

this is the best way i could explain, I hope this helps
8 0
3 years ago
Read 2 more answers
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