What is the hourly utilization rate of each resource if the bottleneck(s) work nonstop during a 10-hour day?
Answer:
100%
Step-by-step explanation:
Utilization rate =
Hours worked / total working hours per day
Since the bottle works nonstop during a 10-hour day, it worked 10 hours
Utilization rate in percentage = (10/10)×100%
= 100%
Find x for each of the problems;
1) 2x+5=12+x
2)5x=30+3x
3)2+x/3=7
4)15-x=17-2x
5)6x= -42-x
6)36-4x=26-3x
7) -2+x=15
Answer:
1) x = 7
2) x = 15
3) x = 19
4) x = 2
5) x = - 6
6) x = 10
7) x = 17
Step-by-step explanation:
1) 2x + 5= 12 +x
-x -x
2x -x + 5 = 12
-5 -5
x = 7
2) 5x = 30 + 3x
-3x -3x
2x = 30
x = 15
3) 2 + x/3 = 7
3(2 + x/3) = (7) 3
2 + x = 21
-2 -2
x = 19
4) 15 - x = 17 - 2x
+2x +2x
15 - x + 2x = 17
-15 -15
x = 2
5) 6x = - 42 - x
+x +x
7x = -42
x = - 6
6) 36 - 4x = 26 - 3x
+3x +3x
36 - x = 26
-36 -36
-x = -10
x = 10
7) -2 + x = 15
+2 +2
x = 17
hope this helps!
Estimate 9146 x 174 by first rounding each number so that it has only 1 nonzero digit.
Answer:
1,800,000
Step-by-step explanation:
9146 * 174
Estimate: 9000 * 200 = 1,800,000
What is the area, in square inches, of this kite?
7 in.
5 in.
5 in.
10 in
(pls help)
Step-by-step explanation:
I think its 85in as the area.
If f(1) = 6 and f(n) = f(n-1) + 2 then find the value of f(4).
Answer:
5
Step-by-step explanation:
f(4-1)+2
=3+2
=5
PLS GIVE BRAINLIEST
PLZZZZZZZZZZZZZZZZZZZZZZ HELP!!!
QUESTION: -2(x-6)=8
STUDENT WORK:
-2(x-6)=8
-2x-12=8
-12 -12
-2x+0=-4
-2x=-4
÷2 ÷2
x=-2
1. Explanation of Errors Made
2. Correct Solution (show all work)
Answer:
The error was made in the division step it should have been divided by negative 2
-2(x-6)=8
-2x+12=8
-2x=-4
-x=-2
X=2
Every 125 pages that Raul reads during his summer reading challenge, he will collect 5 book points to use at his local library. Which graph models a relationship with the same unit rate?
Answer:
d. J
Step-by-step explanation:
Given that Raul gets 5 (y) book points for every 125 (x) pages he reads during summer challenge, we can say that his unit rate would be: y/x = 5/125 = 1/25.
Raul's unit rate is 1/25 book point to each page he reads.
Graph J also has a unit rate of 1/25 (y/x).
Therefore graph J models a relationship with the same unit rate.
Instead of handing out candy like a well-adjusted person on Halloween, grumpy, anti-social Professor Sosa decides to stand on top of a 400 ft building and toss candy treats onto the ground below. If he drops a bag of candy corn, how long will it take for it to land on the ground? What will the velocity of the bag be when it hits the ground?
Answer: The bag of candy corn will take 5 seconds to land on the floor and it will hit it with velocity of 49m/s.
Step-by-step explanation: A free falling object has only Gravitational Force acting on it, so acceleration will be due to gravity, which has magnitude
g = 9.8m/s².
As Professor Sosa drops the bag, its initial velocity and time are 0.
The building has a height of 400ft, so adjusting units: y = 121.92 m and [tex]y_{0}[/tex] = 0.
For this problem, going down will be the positive reference.
Then:
[tex]y=y_{0}+v_{0}t+\frac{g}{2}t^{2}[/tex]
[tex]\Delta y=v_{0}t+\frac{g}{2}t^{2}[/tex]
[tex]121.92=\frac{9.8}{2}t^{2}[/tex]
[tex]t=\sqrt{\frac{121.92*2}{9.8} }[/tex]
t ≈ 5
It will take 5s for the candy corn bag to land on the ground.
Acceleration is the change in velocity per change in time, so:
[tex]g=\frac{\Delta v}{\Delta t}[/tex]
As initial velocity and time are 0 and rearraging it:
v = g.t
v = 9.8*5
v = 49
The bag will hit the ground with velocity of magnitude 49 m/s.
need helppp on this question!!
how to find a inequality
please help!! find the reciprocal of these numbers.
6.2
-2.3
0.9
-22.7
Answer:
They have its own reciprocal
There are 6 triangles and 2 circles. What is the simplest ratio of circles to triangles?
Answer:
6:2
Step-by-step explanation:
This simply means for every 6 triangles there are going to be 2 circles, so if you had 12 triangles there would be 4 circles.
So think of it kinda like:
6 triangles = 2 circles and so on.
Answer:
1:3
Step-by-step explanation:
Since the question says ratio of circles to triangles , we will arrange the answer in that order
So,
2:6
Breaking it down,
1:3
What is 40x52 To the 7 power
Answer:
168,439,267,742,187,520,000,000
Step-by-step explanation:
40*52=2080
2080^7=168,439,267,742,187,520,000,000
What is on way feudal japan was different than feudal Europe???? Not mathematics it is history.
HELP PLEASE I’ll make you brilliant
Answer:
this is grade what????
Step-by-step explanation:
Compare using <,> or = 5 3/4 _ 6 1/4
Answer:
5 3/4 > 6 1/4
Step-by-step explanation:
Select the more effective use of correlative conjunctions to join these sentences.
The manager of the supermarket will help the new employee. The assistant manager may help the employee, too.
A. Neither the manager of the supermarket nor the assistant manager may help the new employee.
B. Both the manager of the supermarket and the assistant manager may help the new employee.
hurry .
Answer:
b the answer
Step-by-step explanation:
Answer:
Answer is B
Step-by-step explanation:
Cereal. A dietician obtains the amounts of sugar (incentigrams) from 100 centigrams (or 1 gram) in each of 10 differentcereals, including Cheerios, Corn Flakes, Fruit Loops, and 7others. These values are listed below. Is thestandard deviation of those values likely to be a good estimate ofthe standard deviation of the amounts of sugar in each gram ofcereal consumbed by the population of all Americans who eatcereal? Why or why not?
3, 24, 30, 47, 43, 7, 47, 13, 44, 39
Find the range, variance, standard deviation
Answer:
Range is 44
mean is 29.7
variance is 289.56
standard deviation is 17.016
Step-by-step explanation:
The data given as follows
3, 24, 30, 47, 43, 7, 47,13, 44, 39
Range = maximum - minimum
= 47 -3 = 44
mean = [tex]\frac{3+24+30+47+43+7+47+13+44+39}{10}[/tex] = 297/10 = 29.7
variance = [tex]\frac{sum xi^2 }{N} - mean^2 }[/tex]
= 289.56
SD = [tex]\sqrt{variance}[/tex] = 17.016
The standard deviation of the given data is not a good measure as the range and standard deviation are far apart. The standard deviation gives how the given data is dispersed from the mean or expected value, while the range gives a rough idea of variability of the data.
Which equation represents this situation?
Charlie worked 1.5 hours less than Dirk. Together, they worked a total of 25 hours. Dirk worked h hours.
h+(h+1.5)=25
h−2.5=25
h+(h−1.5)=25
h−1.5=25
Complete the proof Prove: angle UWX = angle UWV
Answer:
Step-by-step explanation:
Statements Reasons
1). UW bisects ∠VUX 1). Given
2). UW bisects ∠VWX 2). Given
3). ∠VUW = ∠WUX 3). Definition of angle bisector
4). ∠UWV = ∠UWX 4). Definition of angle bisector
5). UW = UW 5). Reflexive property of congruence
6). ΔUWX ≅ ΔUWV 6). ASA postulate of congruence
help asap. will give best answer.
Answer:
neither
Step-by-step explanation:
Aarti posted a comment on her blog. Each day the number of responses to her comment was 125% of the number she
received on the previous day. If there were 64 responses the first day, how many were there on the fourth day?
O 100
112
оооо
125
132
Mark this and return
Save and Exit
Next
Submit
Answer:
125
Step-by-step explanation:
Answer:
125
Step-by-step explanation:
Based on simple interest, how much money would you have borrowed at 6% annual interest if your interest payment for one year was $120?
7-99 Find the missing information in each set of equivalent ratios below, using any method. Be
sure that you record your process so that others can see what you did.
2
15
100
Noo
100
Work for A
37.5
I
Work for B
87.5
0.2
2
х
11.2
Answer:
21 man
Step-by-step explanation:
u have to do the work and get the answer
Find the mean and the median of the data set. 31,32,36,31,30,35,33,30.
Answer:
Mean = 32.25
median = 31.5
Answer:
Median = 31.5
Mean = 32.25
Step-by-step explanation:
Number of data = 8
Ascending order:
30 , 30 , 31 , 31 , 32 , 33 , 35, 36
Median = Average of 4th and 5th term
= (31 + 32) / 2
= 63/2
= 31.5
Mean = Sum of all the observations /number of observations
= (31 + 32 + 36 +31 + 30 + 35 + 33 +30) / 8
= 258/8
= 32.25
the ratio of the angles in a triangle is 3:10:7, what is the measure of the smallest angle
Answer:
27°
Step-by-step explanation:
Let the measure of the angels be 3x, 10x, 7x.
[tex]3x + 10x + 7x = 180 \degree \\ \\ 20x = 180 \degree \\ \\ x = \frac{180 \degree}{20} \\ \\ x = 9 \degree \\ smallest \: angle \: = 3x \\ \\ = 3 \times 9 \degree \\ \\ = 27 \degree[/tex]
Help?!
I dont understand this Help?!
the term to term rule of a sequence is divide by 2
I need help with this question please
Answer:
It's A
Step-by-step explanation:
A parallelogram only has 4 sides, but pentagon has 5. Also like the name, a parallelogram opposite sides are parallel to each other.
PLEASE ANSWERRRRRRRRRRRR
Answer:
Bertha picked up more than anica.
Step-by-step explanation:
10 1/3 = 10.33333 which is greater than anica