answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Xelga [282]
2 years ago
5

a companys product development division has 60 employees. Of these, 1/3 are engineers. If 40% of engineers are moved to another

division. How many engineers will remain in the product development department?
Mathematics
1 answer:
Musya8 [376]2 years ago
6 0

Answer: There will be 12 engineers remaining in the product development department.

Step-by-step explanation:

So the givens are:

60 employees and 1/3 are engineers and if 40% of engineers are moved to another division and how many engineers will remain in the product development department?

So what we need to do:

60 * 1/3 = 60 / 3 = 20

There are 20 engineers.

20 * 40% = 8

There are 8 engineers that are g<u>oing to be moved to another division</u>.

20 - 8 = 12

12 engineers will <u>remain</u> in the development department.

Hence, your answer.

You might be interested in
The Community Relief Fund receives a large donation of $2800. The foundation agrees to spend the money on $20 school bags, $25 s
asambeis [7]

The question is incomplete:

The Community Relief Fund receives a large donation of $2800. The foundation agrees to spend the money on $20 school bags, $25 sweaters, $5 books. They want to buy 200 items and send them to schools in earthquake-hit areas. They must order as many books as school bags and sweaters combined. How many of each item should they order?

Answer:

They must order 40 bags, 60 sweaters and 100 books.

Step-by-step explanation:

From the information provided, you can write the following equations:

x+y+z=200 (1)

20x+25y+5z=2800 (2)

z=x+y (3), where:

x=amount of bags

y=amount of sweaters

z=amount of books

Now, you can replace (3) in (1) and (2):

x+y+x+y=200

2x+2y=200 (4)

20x+25y+5(x+y)=2800

20x+25y+5x+5y=2800

25x+30y=2800 (5)

Then, you will have 2 equations:

2x+2y=200 (4)

25x+30y=2800 (5)

You can isolate x in (4):

2x=200-2y

x=100-y (6)

After this, you can replace (6) in (5):

25(100-y)+30y=2800

2500-25y+30y=2800

5y=2800-2500

y=300/5

y=60

Next, you can replace the value of y in (6) to find the value of x:

x=100-60

x=40

Finally, you can replace the value of x and y in (3) to find the value of z:

z=40+60

z=100

According to this, the answer is that they must order 40 bags, 60 sweaters and 100 books.

7 0
2 years ago
The function f(x) = 1/2 x + 3/2 is used to complete this table.
Mrac [35]

Answer:

a) f(-1/2)  = -2 is NOT TRUE.

b)  f(0)  =3/2 is  TRUE.

c)   f(1)  = -1 is NOT TRUE.

d)   f(2)  = 1 is NOT TRUE.

e)   f(4)  = 7/2  is  TRUE.

Step-by-step explanation:

Here, the given function is  f(x) = (\frac{1}{2}) x+\frac{3}{2}

Now, checking for each values for the given function:

a) Putting x  = (-1/2):

 f(\frac{-1}{2} ) = (\frac{1}{2})(\frac{-1}{2} ) +\frac{3}{2}   = \frac{-1}{4}  + (\frac{3}{2} )\\\implies f(x) = \frac{-1 + 6}{4}  = (\frac{5}{4} )

and (5/4) ≠  -2

Hence, f(-1/2)  = -2 is NOT TRUE.

b)Putting x  = 0 :

f(0) = (\frac{1}{2})(0 ) +\frac{3}{2} = (\frac{3}{2} )

Hence, f(0)  =3/2 is  TRUE.

c) Putting x  = 1:

f(1 ) = (\frac{1}{2})(1 ) +\frac{3}{2}   = \frac{1}{2}  + (\frac{3}{2} )\\\implies f(x) = \frac{3 + 1}{2}  = (\frac{4}{2} )   = 2\implies 2   \neq -1

Hence, f(1)  = -1 is NOT TRUE.

d)Putting x  = 2:  

f(2 ) = (\frac{1}{2})(2 ) +\frac{3}{2}   = 1+ (\frac{3}{2} )\\\implies f(x) = \frac{2 + 3}{2}  = (\frac{5}{2} )

and (5/2) ≠  1

Hence, f(2)  = 1 is NOT TRUE.

e)Putting x  = 4:

 f(4 ) = (\frac{1}{2})(4 ) +\frac{3}{2}   = 2  + (\frac{3}{2} )\\\implies f(x) = \frac{4 + 3}{2}  = (\frac{7}{2} )

Hence, f(4)  = 7/2  is  TRUE.

4 0
2 years ago
The graph shows the relationship between distance driven and gallons of gas used. Use the graph to complete the statements. The
Fantom [35]

Answer:

The car gets 30 miles to the gallon

After the car has traveled 80 miles, gallons of gas have been consumed.

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
If 3x-y=123x−y=123, x, minus, y, equals, 12, what is the value of \dfrac{8^x}{2^y} 2 y 8 x ​ start fraction, 8, start superscrip
julia-pushkina [17]

Answer:

2^{12}=4,096

Step-by-step explanation:

You know that 3x-y=12 and have to find

\dfrac{8^x}{2^y}

Use the main properties of exponents:

1. (a^m)^n=a^{m\cdot n}

2. \dfrac{a^m}{a^n}=a^{m-n}

Note that

8=2^3,

then

7^x=(2^3)^x=2^{3\cdot x}=2^{3x}

Now

\dfrac{8^x}{2^y}=\dfrac{2^{3x}}{2^y}=2^{3x-y}

Since 3x-y=12, then 2^{3x-y}=2^{12}=4,096

3 0
2 years ago
Read 2 more answers
there are 10 less red skittles than orange Skittles in a bag. The orange Skittles are also twice the number of red skittles. Fin
masya89 [10]
There are 20 orange skittles and 10 red skittles since 10 20 is 2 Times more than 10.
6 0
2 years ago
Read 2 more answers
Other questions:
  • a school conducts 27 test in 36 weeks. assume the school conducts tests at a constant rate .what is the slope of the line that r
    8·2 answers
  • The equation of a linear function in point-slope form is y – y1 = m(x – x1). Harold correctly wrote the equation y = 3(x – 7) us
    12·2 answers
  • The statement "The square of any rational number is rational" can be rewritten formally as "For all rational numbers x, x 2 is r
    7·1 answer
  • Write the ratio as a fraction in simplest form: 2.35 to 5.25.
    12·1 answer
  • Alice has a 4-inch by 5-inch photo of your school’s championship girls’ ice hockey team. To celebrate their recent
    13·1 answer
  • A study of immunizations among school‑age children in California found that some areas had rates of unvaccinated school‑age chil
    9·1 answer
  • For circle O, and m∠ABC = 55°. In the figure, ∠ and ∠ have measures equal to 35°.
    12·1 answer
  • Libby donated​ $50 during the first month of the year. If she makes three additional donations of equal amounts during the​ year
    15·1 answer
  • Line RS intersects triangle BCD at two points and is parallel to segment DC. Triangle B C D is cut by line R S. Line R S goes th
    13·1 answer
  • Nikki dove into a pool and swam underwater the table shows how her depth changed during a 4 second time period which equation sh
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!