Answer:
25%.
Step-by-step explanation:
From the question given above, the following data were obtained:
Number of Executives = 40
Number of customer service representatives = 120
Percentage of the employees that are executives =?
Next, we shall determine the total number of employees in the company. This can be obtained as follow:
Number of Executives = 40
Number of customer service representatives = 120
Total number of employees =?
Total number of employees = (Number of Executives) + (Number of customer service representatives)
Total number of employees = 40 + 120
Total number of employees = 160
Finally, we shall determine the percentage of the employees that are executives as follow:
Number of Executives = 40
Total number of employees = 160
Percentage of the employees that are executives =?
Percentage = Number of Executives/ total employees × 100
Percentage = 40/160 × 100
Percentage = 0.25 × 100
Percentage = 25%
Therefore, the percentage of the employees that are executives is 25%
The nth term of an AP is 12-4n. Find the first term and the common difference.
Answer:
the first term is 8 and common difference d is -4.
Step-by-step explanation:
We are given nth term of an arithmetic sequence is: aₙ=12-4n
We need to find first term and common difference of given arithmetic sequence
First term can be found by putting n=1:
[tex]a_n=12-4n\\a_1=12-4(1)\\a_1=12-4\\a_1=8[/tex]
So, first term is a₁= 8
Now to find common difference we need to find second term
Second term can be found by putting n=2
[tex]a_n=12-4n\\a_2=12-4(2)\\a_2=12-8\\a_2=4[/tex]
So, second term is: 4
The common difference is found by subtracting second term with first term: a₂-a₁= 4-8 = -4
So, first term is 8 and common difference d is -4
Suresh makes 100 pieces of costume jewelry to sell to his classmates. Each piece costs him $1.55 to make. How much does it cost Suresh to make all 100 pieces?
$0.02
$0.16
$15.50
$155.00
Answer:
$155.00
Step-by-step explanation:
$100×$1.55=$155
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URGENT HELP RN
what is the solution set of this inequality? 1<|x-2|<5
(-3, ) U ( , )
We first need to consider the absolute value of x-2 to find the solution set of this inequality, The solution set of this inequality is (3, 4, 5).
What is absolute value?An absolute value is a number's distance from 0 on the number line.
Since the inequality is 1<|x-2|<5, we can then determine the two extreme points of the absolute value of x-2.
These points are 1 and 5.
Now, to find the solution set of this inequality, we need to find the two points that are 1 and 5 units away from the point x = 2.
The two points that are 1 and 5 units away from x = 2 are 3 and 5 respectively.
This is because the absolute value of x-2 has two extreme points, which are 1 and 5 units away from the point x = 2.
Therefore, the two points that are 1 and 5 units away from x = 2 are 3 and 5 respectively.
For more questions related to inequality
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Solve. 3/4 * 3/5 PLease help!!!
Select all of the ratios that are equivalent to 6:3 *
2:1
12:6
3:6
30:15
6:6
12:9
Answer:
2 : 1
12 : 6
30 : 15
Step-by-step explanation:
Look at the ratios one by one. Starting with 6 : 3, we can see that it's of the form 2a : a.
2 : 1
12 : 6
30 : 15
These are all equivalent.
help what's the answer? 7+1=?
Answer:
8
Step-by-step explanation:
Alexa and Daniel , two students of middle school together collected $20 from the students for annual function of their school . Write a linear equation for this and draw a graph to depict the statement .
Answer:
x + y = 20
Step-by-step explanation:
Let the amount collected by Alexa = $x
& the amount collected by Daniel = $y
Total amount collected = $20
Therefore,
x + y = 20
what is the kinetic energy in chem
Answer:
kinetic energy is the energy that allows a person to have free movement
Ktkrk rj. Rj4k4k4k krk4ke3k rk3k Ijjkhtjrkrkrnemek3
what's the question though
Find the value of x.
Y
3(x+7) -
63
=180
Answer:
x = -7 + 81/Y
Step-by-step explanation:
Hi. I need help with these questions.
See image for question.
Answer 16 and 17
Step-by-step explanation:
16.................................................
GivenEquation ax² + bx + c = 0One of the roots is twice the otherTo findShow that 2b² = 9acSolutionLet the roots be p and q
The sum and product of the roots:
p + q = -b/apq = c/aThe sum of the roots, considering p = 2q,
p + q = 2q + q = 3qAnd
3q = -b/a ⇒ q = -b/(3a)The product of the roots, considering p = 2q:
pq = 2q(q) = 2q²And
2q² = c/aSubstitute q with -b/(3a)
2(-b/(3a))² = c/a2b²/(9a²) = c/a2b² = 9a²(c/a)2b² = 9ac=================================================
17. .................................................
GivenQuadratic equation
ax² = bx + c = 0, with equal rootsTo findShow that b² = 4acSolutionEqual roots means the discriminant is zero:
D = √b² - 4ac√b² - 4ac = 0b² - 4ac = 0b² = 4acI ONLY HAVE 5 MIN TO ANSWER PLEASE HELP ME !!!!!!!!!!!
How do you determine which values to multiply when you apply the distributive property?
WILL MARK BRAINLIEST!!!
HELP ASAP ILL GIVE BRAINLIEST
Answer: i would say 20 because it doesnt look that short compared to 22.
Answer:20.1 ft
Step-by-step explanation: in image below
What is the probability of spinning a white on the spinner
Answer:
where is the spinner?
Step-by-step explanation:
what is the slope of the line
Is triangle ABC a right triangle?
no, because none of the slopes of the line segments forming the legs are opposite reciprocals
no, because none of the slopes of the line segments forming the legs are equal
yes, because BC is perpendicular to AC
yes, because AB is perpendicular to AC
Answer:
yes because BC is perpendicular to AC
Step-by-step explanation:
BC slope is 6/2 which is 3
AC slope is -3/9 which reduces to -1/3
3 and -1/3 are opposite reciprocals and therefore the lines are perpendicular
Answer:
C yes, because BC is perpendicular to AC
Step-by-step explanation:
what is 6/a-6 = 3/a-3 ?
help me please
Answer:
a=1
Step-by-step explanation:
Multiply all terms by a and cancel:
6+−6a=3+−3a
−6a+6=−3a+3(Simplify both sides of the equation)
−6a+6+3a=−3a+3+3a(Add 3a to both sides)
−3a+6=3
−3a+6−6=3−6(Subtract 6 from both sides)
−3a=−3
−3a
−3
=
−3
−3
(Divide both sides by -3)
a=1
Answer:
a=0
Step-by-step explanation:
I hope this helped you out! Have a great day!!!!! You're beautiful/handsome!! <3
If there is 2 circles and the larger one has a circumference of 30pi and the smaller circle has a circumference of 10 what is the radius of the smaller circle
Answer:
ehhhh it's either 5or 1.59 I'm not sure Wich
Step-by-step explanation:
sorry good luck
what is slope of the line
Answer:
The Answer is 3
Step-by-step explanation:
First you'd want to find two points so example (0,1), and (2,7)
Second You would put them in the slope formula y2-y1/x2-x1
Third You would want to solve the formula by getting 2-0 and 7-1 And get 6/2
Fourth Simply 6/2 and get 3/1 which is also 3.
Hope this helps
find the derivative dy/dx for y=x2-2x/x3+3
Brian orders a center pivot irrigation system to water his field system is made up of a line connected pipes that turn around a center point Brian system will be 1000 150 feet long what is the longest distance across the space the system still water show your work
Answer:
2,300
Step-by-step explanation:
since it turns it would be double and both radius would be 1,150ft you have to add them together and then you get 2,300ft.
The longest distance across the space the system still water is the diameter of the circle, that is 2300 feet and this can be determined by using the given data.
Given :
Brian orders a center pivot irrigation system to water his field system is made up of a line connected pipes that turn around a center point.Brian's system will be 1150 feet long.The following steps can be used in order to determine the longest distance across the space the system still water:
Step 1 - According to the given data, the Brian system will be 1150 feet long.
Step 2 - So, from the given data it can be concluded that the irrigation system moves about a point and form a circle whose radius is 1150 feet.
Step 3 - So, the longest distance across the space the system still water is the diameter of the circle, that is:
D = 1150 [tex]\times[/tex] 2
D = 2300 feet
For more information, refer to the link given below:
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3. Charlie needs to hire a plumber to fix his kitchen sink. ABC Plumbing charges a flat
fee of $50 plus 535 per hour, Pipes R Us charges a flat fee of $75 and $25 per hour.
How many hours will the two companies charge for the total cost to be equal?
Answer:
2 hoursStep-by-step explanation:
step one:
given
ABC Plumbing charges
flat fee=$50
charge per hour= $35------------------i want to assume you meant $35 and not $535
Pipes R Us charges
flat fee=$75
charge per hour= $25
Let the number of hours be x
the equation for the charges is given bellow
y=35x+50----------1
y=25x+75-----------2
equating 1 and 2
35x+50=25x+75
35x-25x=75-50
10x=20
divide both sides by 10
x=20/10
x=2 hours
2 hours
Nate tosses a ball up a hill for his dog to chase. The path of the ball is modeled by the function y=- 1 4 x^ 2 + 33 5 x. , where x is the ball's horizontal distance from Nate in feet and y is the ball's height in feet. The hill is modeled by the line y = 1/5 * x . How far does the ball travel horizontally before it hits the ground? (in feet, round to tenth place if necessary )
Answer:
The ball's horizontal distance from Nate in feet when the ball hits the ground is 25.6 feet
Step-by-step explanation:
The given equation that represents the path of the ball is y = -1/4·x² + 33/5·x
The equation of the that models the hill is y = 1/5 × x = 1/5·x
Where, x represents the ball's horizontal distance from Nate in feet and y represents the ball's height in feet
To find the point of contact, we equate both equations to find the common solutions as follows;
-1/4·x² + 33/5·x = 1/5·x
-1/4·x² + 33/5·x - 1/5·x = -1/4·x² + 32/5·x = 0
-1/4·x² + 32/5·x = 0
0 = 1/4·x² - 32/5·x
1/4·x² - 32/5·x = 0
x·(1/4·x - 32/5) = 0
x = 0 or 1/4·x - 32/5, and x = 32/5 × 4 = 128/5 = 25.6
The ball's horizontal distance from Nate in feet = x = 25.6 feet
The ball's horizontal distance from Nate in feet when the ball hits the ground is 25.6 feet.
How do you find the equation of a trend line?
what is the equation of the line that passes through the point (4,7) and has a slope of o?
Answer:
The equation of the line that passes through the point (4,7) and has a slope of 0 will be:
[tex]y=7[/tex]Step-by-step explanation:
As we know the equation of a line in a slope-intercept form of an equation is
[tex]y = mx + b[/tex]
Here,
m is the slopb is the y-interceptso
substituting the point (4,7) and slope m=0
[tex]y = mx + b[/tex]
[tex]7=0(4)+b[/tex]
[tex]7=0+b[/tex]
[tex]b=7[/tex]
Therefore, the equation of the line that passes through the point (4,7) and has a slope of 0 will be:
[tex]y = mx + b[/tex]
[tex]y=0x+7[/tex]
[tex]y=7[/tex]
If the length is four times the width. Find the dimensions of a rectangle with a
perimeter of 110
Answer:
width is 11, length is 44
Step-by-step explanation:
width = x
length = y
y= 4x
P = 2x + 2y
110 = 2x + 2(4x)
110 = 10x
x=11
y = 44
width is 11, length is 44
What number can you add to ∏ to get a rational number?
A) 2
B) 0
C) -∏
D) 1/∏.
Answer:
I believe the answer to be option C.
Step-by-step explanation:
I took the Unit Test! :)
I really hope this is correct, let me know!
Jim's puppy weighs 2,268 grams, about how many ounces does the puppy weigh?
Answer: it weighs about 80 ounces
Step-by-step explanation:
solve 2x-y > 1 for y
The formula B = 2HL can be used to determine the number of bricks, B, needed to build a wall of height H and length L.
What is the height of a wall built 28 feet long and requires 1736 bricks?
9514 1404 393
Answer:
31 feet
Step-by-step explanation:
Fill in the given numbers and solve for the missing value.
B = 2HL
1736 = 2H(28)
1736/56 = H = 31
The wall is 31 feet high.
Answer:
N = 7·L·H
2310 = 7·30·H
2310 = 210·H (now, divide both sides by 210)
2310 ÷ 210 = 11
H = 11 feet
Step-by-step explanation: