THIS IS THE COMPLETE QUESTION
Five companies employed 2340, 3455, 675, 960 and 1350 workers. The first company laid off 1 worker for every 5 workers, while the other three recruited 2 new workers for every 3. a) What was the total number of workers at the beginning c) How many people: i) Lost job ii) Got job d) What was the total number of workers finally
Answer:
a) 8780
ci) 1159
cii) 1990
d) 9611
Step-by-step explanation:
a) What was the total number of workers at the beginning?
The Total number of workers at the beginning can be calculated by adding the number of workers which are
= 2340 + 3455 + 675 + 960 + 1350
= 8780
c) How many people: i) Lost job
TO calculate the number that lost their job, we know that the first company laid off 1 worker for every 5 workers,
But the employed workers were 2340 and 1 worker laid for every 5 workers. Hence we can say that
2340/5 = 468
Therefore, 468 lost job in the first company.
To calculate for the second company,
from the question we know that Workers employed were 3455 and 1 worker laid for every 5 workers. Then we can say that
3455 / 5 = 691
Therefore, 468 lost job in second company.
After getting the number that lost their job in the two companies we can now say that the total workers that lost job:
=468 + 691 = 1159
ii) To calculate the number that Got job
We know that other three companies recruited 2 new workers for every 3, then the number of people who got job in these three companies can be calculated as;
= [(675 * 2 )+ (960 *2) + (1350 *2) ]/ 3
= (1350 + 1920 + 2700) / 3
= 5970 / 3
= 1990
Therefore, we have 1990 people that got the job.
d) the total number of workers finally can be calculated by summing up the the workers who got job in the workers at beginning then minus the number ofworkers who lost job ,
We know that the Total number of workers:
8780 number of workers at the beginning
1159 is for companies who lost job
1990 is for companies who got job
total number of workers finally:
= (8780 )+ (1990) -( 1159)
= 9611
Therefore, the total number of workers finally are 9611.
Please. Can anyone help me.
Answer:
correct option is A: [tex]\frac{4}{10} \neq \frac{6}{14}[/tex]
Step-by-step explanation:
If the segment DE was parallel to the segment BC, we could use the Thales' theorem, where the ratio of one segment created in one side of the triangle over the whole side is the same ratio of one segment created in the other side over the whole side:
[tex]\frac{AD}{AB} = \frac{AE}{AC}[/tex]
Using the values given (AD = 4, AB = 6+4=10, AE = 6, AC = 8+6=14), we would have:
[tex]\frac{4}{10} = \frac{6}{14}[/tex]
[tex]4*14=6*10[/tex]
[tex]56=60[/tex]
This sentence is false, therefore the segments DE and BC are not parallel.
The inequation to prove this is the first one we used, using the "not equal" symbol:
[tex]\frac{4}{10} \neq \frac{6}{14}[/tex]
So the correct option is: A
Some pupils were asked which their favourite school subject was, from a choice of maths, english and science. Soe of the results are shown in the table. How many pupils in total chose English as their favourite subject?
Answer:
[tex]\boxed{26 pupils}[/tex]
Step-by-step explanation:
Girls for English:
20 + English + 12 = 36
English + 32 = 36
English = 36-32
English = 4 (For girls)
Total for Science:
12+7 = 19
Total for English:
25 + English + 19 = 70
English + 44 = 70
English = 70-44
English = 26 pupils
There are 26 pupils (20 Boys and 6 Girls) who chose English as their favorite subject.
The table shows data about the favorite subject of some of the students.
The following things can be observed from the given table:
Girls who like maths are 20, who like science are 12 and total girls are 38. So, the number of girls who like English will be [tex]38-20-12=38-32=6[/tex]. So. 6 girls like English subject.Out of 25 students who like maths, 20 are girls. So, 5 students are boys who like maths.Total students who like science are 12 girls and 7 boys. So, the sum of students will be 19.Total number of students participated in the survey is 70.So, the total number of students of English subject can be calculated as,
[tex]70-25-19=70-44\\=26[/tex]
So, out of 26 students, 6 are girls and 20 will be boys who love English subject.
Therefore, there are 26 pupils (20 Boys and 6 Girls) who chose English as their favorite subject.
For more details, refer to the link:
https://brainly.com/question/21976671
Find the value of x in the following
a) x:2 = 10:4 b) 3:x= 6:8
Answer:
a) x = 5
b) x = 4
Step-by-step explanation:
a) x:2 = 10:4
Product of extremes = Product of means
=> x*4 = 10*2
=> 4x = 20
Dividing both sides by 4
=> x = 5
b) 3:x = 6:8
Product of extremes = Product of Means
=> 3*8 = 6*x
=> 24 = 6x
Dividing both sides by 6
=> x = 4
Answer:
a. X= 5b. X= 4Solution,
[tex]a. \: \: \frac{x}{2} = \frac{10}{4} \\ \: \: or \: x \times 4 = 10 \times 2 \: ( \: cross \: multiplication) \\ \: \: or \: 4x = 20 \\ or \:x = \frac{20}{4} \\ \: \: \: x = 5[/tex]
[tex]b. \: \frac{3}{x} = \frac{6}{8} \\ or \: 6 \times x = 3 \times 8 \: ( \: cross \: multiplication) \\ or \: 6x = 24 \\ \: or \: x = \frac{24}{6} \\ x = 4[/tex]
Hope this helps...
Good luck on your assignment
I am between 8 o clock in the morning and 3:00 in the afternoon .My number of minutes is odd i am more than half an hour away from the next o clock i am closer to 5pm than to 5am what time am i ?
Answer:
1:00 PM
Step-by-step explanation:
According to the conditions given in the question, i confirm that the time time asked here is 1:00 PM.
at 1:00 PM, its 5 minutes (odd), clearly, more than half an hour away from the next o clock. It is closer to 5 PM than 5 AM.
Complete the statement about this table.
The A:B ratio in the table that is not equivalent to the
others is
20:27
10:14
15:21
25:35
Answer:
20:27
Step-by-step explanation:
Which system of inequalities is shown in the graph?
Answer:
A. y≤-x+3
y≤ x²-3x
Step-by-step explanation:
Both inequality shadings of the graphs are below the solid lines, which means that y is less than or equal to both of them.
Ayla saves up $204 and spends $35.50 on books. She wants to purchase more books, which are on sale for $8.25 each. How many more books can she buy?
Answer:
20 more books
Step-by-step explanation:
£204 - £35.50 = £168.50
168.50/8.25 = 20.42
We obviously can't buy 0.42 of a book, so you round down and get 20 books
HELP PLEASE ASAP PLEASE HELP ASAP
Answer:
angle 3 and angle 4 are equal because the diagonals/2 are equal. Angle 4 equals angle 1 due to opposite interior angles thereom. 90 degrees minus 37=53 degrees which is angle 2. Since angle 2 is equal to the angle GKH, 53+53=106 and 180-106=74 degrees, and due to vertical angles, angle 7 is 74 degrees.
A rectangle has an area of 524.4m2. One of the sides is 6.9m in length. Work out the perimeter of the rectangle. PLEASE ANSWER!!! SOON ASAP
Answer:
165.8 mSolution,
Area of rectangle= 524.4 m^2
Length(L)= 6.9 m
Breadth(B)=?
Now,
[tex]area = length \times breadth \\ or \: 524.4 = 6.9 \times b \\ or \: 524.4 = 6.9b \\ or \: b = \frac{524.4}{6.9} \\ b = 76 \: m[/tex]
Again,
Perimeter of rectangle:
[tex]2(l + b) \\ = 2(6.9 + 76) \\ = 2 \times 82.9 \\ = 165.8 \: m[/tex]
Hope this helps...
Good luck on your assignment.....
Answer:
The perimeter of the rectangle is 165.8cm
Step-by-step explanation:
Area of a rectangle = length × width
Area = 524.4m²
length = 6.9m
524.4 = 6.9 × width
width = 524.4 / 6.9
width = 76m
Perimeter of a rectangle =
2(length ) + 2(width)
length = 6.9m
width = 76m
Perimeter = 2( 6.9) + 2(76)
= 13.8 + 152
The final answer is
= 165.8cm
Hope this helps you
PLEASE HELP!!!
What is the third quartile for this data set?
Answer:
38
Step-by-step explanation:
Using the five number summary it is 38 since it is 75 percent of the sample
You have the correct answer. Nice work
==========================================================
Explanation:
If the values aren't sorted, then list them from smallest to largest. The values are already sorted for us, so we move onto the next step.
That next step is to find the median. The median is 29 because four values are smaller than it, and four values are larger than it. The value 29 is right in the middle. This value is in slot 5.
Next, split the data into two halves where L = {21,24,25,28} is the lower half and U = {35,37,39,42} is the upper half. As you can see, any value in set L is smaller than the median. While any value in set U is larger than the median.
The third quartile is the median of set U. We have four values in this set, so the median will be between slots 3 and 4 (between 37 and 39)
Average 37 and 39 to get (37+39)/2 = 38. We see that 38 is the midpoint of 37 and 39.
Therefore, the third quartile is 38.
15.) In a laboratory, the count of bacteria in a certain
experiment was increasing at the rate of 2.5% per
hour. Find the bacteria at the end of two hours if the
count initially was 4,80,000.
PLZ answer it's urgent plz
Answer:
Step-by-step explanation:
given,
initial count of bacteria(P)=4,80,000 ,
increasing rate of bacteria(R)=2.5%,
time(T)= 2 hours
amount(A)=p(1+R/100)^T
A=480000(1+2.5/100)^2
A=480000*(1681/1600)
A=504300
therefore, the bacteria at the end of 2 hours is 504300(approx)
Answer:
itchkirdcbn
Step-by-step explanation:
86rfbbcgui6g....
Please I need help with this question
Answer:
Step-by-step explanation:
2/3(6y + 9)
2/3(6y) = 4y
2/3(9) = 6
=4y + 6 (A)
What is the area of the square adjacent to the third side of the triangle?
Answer:
The area of the square adjacent to the third side of the triangle is 11 units²
Step-by-step explanation:
We are given the area of two squares, one being 33 units² the other 44 units². A square is present with all sides being equal, and hence the length of the square present with an area of 33 units² say, should be x² = 33 - if x = the length of one side. Let's make it so that this side belongs to the side of the triangle, to our convenience,
x² = 33,
x = [tex]\sqrt{33}[/tex] .... this is the length of the square, but also a leg of the triangle. Let's calculate the length of the square present with an area of 44 units². This would also be the hypotenuse of the triangle.
x² = 44,
x = [tex]\sqrt{44}[/tex] .... applying pythagorean theorem we should receive the length of a side of the unknown square area. By taking this length to the power of two, we can calculate the square's area, and hence get our solution.
Let x = the length of the side of the unknown square's area -
[tex]\sqrt{(44)}^2[/tex] = [tex]x^2[/tex] + [tex]\sqrt{33}^2[/tex],
x = [tex]\sqrt{11}[/tex] ... And [tex]\sqrt{11}[/tex] squared is 11, making the area of this square 11 units².
Answer:
11 units²Step-by-step explanation:
If the triangle is right then area of square adjacent to the longest side is equal to sum of areas of squares adjacent to its other sides. (As in Pythagorean theorem)
So:
33 units² + ? = 44 units²
? = 44 units² - 33 units²
? = 11 units²
Please help me get the right answer
Answer:
A
Step-by-step explanation:
When multiplying numbers with exponents, the exponents add together. This means that the correct answer is letter A.
Complete the table of values below: x -3 -2 -1 0 1 2 3 How the graph relates to y=2x y=2x Answer Answer Answer Answer Answer Answer Answer Not applicable y=-2x Answer Answer Answer Answer Answer Answer Answer multiplied by Answer y=(3)(2x)
Answer:
The values of x are:
x : -3, -2, -1, 0, 1, 2, 3
Let's solve each by putting each value of x into each equation:
a [tex]y = 2^x[/tex]
> x = -3
=> y = 2^(-3) = 1/8
> x = -2
=> y = 2^(-2) = 1/4
> x = -1
=> y = 2^(-1) = 1/2
> x = 0
=> y = 2^0 = 1
> x = 1
=> y = 2^1 = 2
> x = 2
=> y = 2^2 = 4
> x = 3
=> y = 2^3 = 8
b. [tex]y = -2^x[/tex]
> x = -3
=> y = -2^(-3) = -1/8
> x = -2
=> y = -2^(-2) = -1/4
> x = -1
=> y = -2^(-1) = -1/2
> x = 0
=> y = -2^0 = -1
> x = 1
=> y = -2^1 = -2
> x = 2
=> y = -2^2 = -4
> x = 3
=> y = -2^3 = -8
c. [tex]y = (3)(2^x)[/tex]
> x = -3
=> y = 3 * 2^(-3) = 3 * 1/8 = 3/8
> x = -2
=> y = 3 * 2^(-2) = 3 * 1/4 = 3/4
> x = -1
=> y = 3 * 2^(-1) = 3 * 1/2 = 3/2
> x = 0
=> y = 3 * 2^0 = 3 * 1 = 3
> x = 1
=> y = 3 * 2^1 = 3 * 2 = 6
> x = 2
=> y = 3 * 2^2 = 3 * 4 = 12
> x = 3
=> y = 3 * 2^3 = 3 * 8 = 24
Input these values into the table.
Answer:
a y = 2^x
> x = -3
=> y = 2^(-3) = 1/8
> x = -2
=> y = 2^(-2) = 1/4
> x = -1
=> y = 2^(-1) = 1/2
> x = 0
=> y = 2^0 = 1
> x = 1
=> y = 2^1 = 2
> x = 2
=> y = 2^2 = 4
> x = 3
=> y = 2^3 = 8
b. y = -2^x
> x = -3
=> y = -2^(-3) = -1/8
> x = -2
=> y = -2^(-2) = -1/4
> x = -1
=> y = -2^(-1) = -1/2
> x = 0
=> y = -2^0 = -1
> x = 1
=> y = -2^1 = -2
> x = 2
=> y = -2^2 = -4
> x = 3
=> y = -2^3 = -8
c. y = (3)(2^x)
> x = -3
=> y = 3 * 2^(-3) = 3 * 1/8 = 3/8
> x = -2
=> y = 3 * 2^(-2) = 3 * 1/4 = 3/4
> x = -1
=> y = 3 * 2^(-1) = 3 * 1/2 = 3/2
> x = 0
=> y = 3 * 2^0 = 3 * 1 = 3
> x = 1
=> y = 3 * 2^1 = 3 * 2 = 6
> x = 2
=> y = 3 * 2^2 = 3 * 4 = 12
> x = 3
=> y = 3 * 2^3 = 3 * 8 = 24
Step-by-step explanation:
Farmer Hanson is putting together fruit baskets. He has 240 apples and 150 pears. What is the largest number of baskets he can put together so that he can have the same number of apples and same number of pears in each basket considering no fruit is left out?
Answer: 30 baskets.
Step-by-step explanation:
You need to find the Greatest Common Factor (GCF).
240 (apples) = 2 x 2 x 2 x 2 x 3 x 5
150 (pears) = 2 x 3 x 5 x 5
GCF (240, 150) = 2 x 3 x 5
= 30
You can make 30 baskets containing 240/30 = 8 apples and 150/30 = 5 pears.
Answer:
30 baskets
Step-by-step explanation:
Find the area of the shape shown below.
Answer:
12 [tex]units^{2}[/tex]
Step-by-step explanation:
First Figure: 1/2*2*2 = 2
Second Figure: 2*2 = 4
Third Figure: 1/2*6*2 = 6
2+4+6 = 12
So the area is 12 [tex]units^{2}[/tex]
Please help ASAP: Factorise the following
Answer:
Step-by-step explanation:
Slide 1:
A) (x+2)(x+8)
B) (x+3)(x+4)
C) (x+1)(x+12)
Slide 2:
A) (x-1)(x+4)
B) (x+1)(x-3)
C) (x-2)(x+4)
Hope this helps!
Please answer this question now
Answer:
61
Step-by-step explanation:
Definition of conguency
*figure on the right is rotated a bit
PLEASE HELP! ! ! PLEASEEE!!
Answer:
4^2
Step-by-step explanation:
4^4 times 4^3 is equal to 4^7 since you just add the exponents. Then, when dividing, you subtract the exponents, so 4^7/4^5 is 4^2. I hope this is helpful!
Answer:
the answer is
Step-by-step explanation:
4 to the power of 2
you add 4 and 3 which is 7
and 7 subtract 5 which is
4 to the power of 2
Find the length of segment QS. (Enter the just the value, without any units.)
Set up a ratio:
12/x = 16/20
Cross multiply:
16x = 240
Divide both sides by 16:
X = 15
A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling a number greater than 10
Answer:
2/12
Step-by-step explanation:
You have 12 possible outcomes. Greater than 10 gives you 2 outcomes. 2/12
Answer:
1/6
Step-by-step explanation:
There are 12 equally likely outcomes, so the total number of possible outcomes is 12.
There are 2 numbers greater than 10: 11 and 12.
The number of desired outcomes is 2.
p(event) = (number of desired outcomes)/(total number of possible outcomes)
p(greater than 10) = 2/12 = 1/6
I need this ASAP! When David was asked how old he was, he said: "I'm three times younger than my dad, but twice as old as Rebecca." Then little Rebecca ran up to him and declared "I am 30 years younger than my dad." How old is David?
Answer:
David is 12 years old.
Step-by-step explanation:
Let r = Rebecca's age
Let d = David's age
let p = Dad's age
David is 3 times as younger than his dad:
d = [tex]\frac{p}{3}[/tex]
David is 2 times older than Rebecca:
d = 2r
Rebecca is 30 years younger than the dad:
r = p-30
All three equations can be solved by a system
2r = [tex]\frac{p}{3}[/tex]
r = p-30
multiplying r = p-30 by negative 2 and adding it to 2r = [tex]\frac{p}{3}[/tex]
0 = (-2p + p/3) + 60
multiplying new equation by 3
0 = (-6p + p) + 180
5p = 180
p = 36
d = 36/3 = 12
Determine which postulate or theorem can be used to prove that
APQS= ARQS.
Answer:
sss
Step-by-step explanation:
as you seen your puestion it says they are similar by side if you ask me by what because your given is side
could someone please answer the questions in the photo
Answer:
10. A dice has 6 sides each from 1-6, rolling each time can give 6 different possible results, hence the chances of rolling a 2, 3, and 5 will be 1/6 respectively.
To roll a 2, 3, and 5 in order, which are independent events,
the required probability will be
= 1/6 x 1/6 x 1/6
= 1/216
11. Using Pythagoras theorem,
8² + B² = 15²
B =√161
=12.689
13. Area of trapezoid= (upper base+ lower base)(height)/2
= (16+23)(3)/2
= 58.5 m²
Answer:
Answers:
Question #10:
Rolling a die three times gives 6 · 6 · 6 possibilities this makes 216 possibilities in total. Rolling the die in the order 2, 3, 5 is only one so the answer is: [tex]\frac{1}{16}[/tex].
Question #11:
Since the triangle is a right triangle we can use the pythagorean theorem:
[tex]B^{2}[/tex] + [tex]8^{2}[/tex] = [tex]15^{2}[/tex]
Working backwards we get that B is equal to 225 minus 64 which gets the square root of 161 or [tex]\sqrt{161}[/tex].
Question #12:
First we can start with finding the area of the rectangle in the trapezoid:
3 · 16 = 48
Next the two right triangles. 21 - 16 = 5 That is the length of the additional two triangles. Dividing 5 by two gets the base of one of them, but if we don't divide it by two we will be able to solve for both at the same time:
3 · 5 = 15
[tex]\frac{15}{2}[/tex] = 7.5
7.5 + 48 = 55.5
On a piece of paper, graph this system of equations.
y = x - 10
y = x2 - 2x - 3
Then determine which answer choice matches the graph you drew and
identify the solution(s) to the system.
Answer:
No solution
Step-by-step explanation:
If you graph this system of equations, they do not intersect in any way and therefore there is no solution.
The time (in minutes) taken for a dose of a certain drug to be effective as a sedative on lab animals is normally distributed with mean =1 and variance 2=0.01. What is the proportion of animals for which the time taken is between 1 and 1.1 minutes?
Answer:
Step-by-step explanation:
Let x be the random variable representing the time (in minutes) taken for a dose of a certain drug to be effective as a sedative on lab animals. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 1
σ = √variance = √0.01 = 0.1
the probability that the time taken for a randomly selected animal is between 1 and 1.1 minutes is expressed as
P(1 ≤ x ≤ 1.1)
For x = 1,
z = (1 - 1)/0.1 = 0
Looking at the normal distribution table, the probability corresponding to the z score is 0.5
For x = 1.1
z = (1.1 - 1)/0.1 = 1
Looking at the normal distribution table, the probability corresponding to the z score is 0.84
Therefore,
P(1 ≤ x ≤ 1.1) = 0.84 - 0.5 = 0.34
The the proportion of animals for which the time taken is between 1 and 1.1 minutes is 0.34
20 pts!! ANSWER SOON PLEASE!! WILL GIVE BRAINLIEST!!Would you rather paint 3/4 of a circle or a circular ring? Using area, explain your reasoning. Include calculations in your reasoning.
Answer:
Both/Neither.
Step-by-step explanation:
For the circle, the area is π(6)^2= 36π. 3/4 of that is 27π. Now, for the ring, area of outer circle is 36π. The area of inner circle is 9π. So, area of ring is 27π. That means, both will take the same amount of paint.
Combine like terms: ab-a2+42-5ab+3a2+10
Answer:
-4AB+2A2+52
Step-by-step explanation:
1. FIRST WE PUT THE LIKE TERMS TOGETHER (REARRANGE THE PROBLEM)
AB-5AB-A2+3A2+42+10
2. SIMPLIFY ALL LIKE TERMS
-4AB+2A2+52
YOUR DONE!!!!!!
HOPE I HELPED
CAN I GET BRAINLIEST PLS? (DESPERATELY TRYING TO LEVEL UP)
-ZYLYNN JADE
Find the value of x in the
following parallelogram:
Answer:
x=35
Step-by-step explanation:
2x-10+2x+50=180 degrees
4x-10+50=180
4x+40=180
4x=140 x=35