Answer:
3.6
Step-by-step explanation:
set-up percentage like this!
[tex]\frac{part}{whole} =\frac{part}{whole}[/tex]
Then use what you know from the question to fill in the blanks
Answer: [tex]\frac{6}{100} =\frac{?}{60}[/tex]
Then: [tex]60[/tex] × 6 ÷ 100 = 3.6
Final Answer: 3.6
Software Solution (SOS) helps subscribers solve software problems. All transactions are made over the telephone. For the year 2018, 10 engineers, most of whom are recent graduates, handled 119,000 calls. The average yearly salary for software engineers was $58,000. Starting in 2019, the firm retained and hired only software engineers with at least 2 years of experience. SOS raised the engineers’ salary to $73,000 per year. In 2019, eight engineers handled 127,000 calls.
Required:
1. Calculate the partial operational productivity ratio for both years.
2. Calculate the partial financial productivity ratio for both years. (Round your answers to 4 decimal places.)
Answer:
a. 11900, 15875
b. 0.2052, 0.2175
Step-by-step explanation:
number of engineers in 2018 = 10
calls handled in 2018 = 119000
average salary in 2018 = 58000
number of engineers in 2019 = 8
calls handled = 127000
salary = 73000
a.) operational productivity = output/input
in year 2018 = 119000/10= 11900
in year 2019 = 127000/8 = 15875
b.) ratio for both years = output/amount spent
in year 2018 = 119000/10*58000 = 0.2052
in year 2019 = 127000/8*73000 = 0.2175
Mr. Jones lives in City A and drives at a constant speed to City B, which is 400 km 2 of the distance at that same away. On the way back to City A, Mr. Jones drives 5 constant speed. Then, because of rain, he decreases his speed by 20 km/h. The round trip takes 11 hours. How fast did Mr. Jones drive during the rainy part of his trip from City B to City A?
Answer:
He traveled at 72km/hr during the rain
Step-by-step explanation:
Question is not well formatted. See comment
Given
[tex]d=400km[/tex] --- distance
[tex]t = 11hrs[/tex] --- total time
Let his speed from city A till the rain starts on his return trip be [tex]s_1[/tex]
Let his speed from city during the rain be [tex]s_2[/tex]
So:
[tex]s_2 = s_1 -20[/tex]
Required
Calculate [tex]s_2[/tex]
From the question, we understand that; he drives the whole 400 km and 2/5 of 400 km at [tex]s_1[/tex]
The distance covered during this period is:
[tex]d_1 = 400 + \frac{2}{5} * 400[/tex]
[tex]d_1 = 400 + 160[/tex]
[tex]d_1 = 560[/tex]
And the time during this period is:
[tex]t_1 = \frac{2}{5} * 11[/tex]
[tex]t_1 = 4.4[/tex]
So, the distance during the rain is:
[tex]d_2 = 2 * 400 - d_1[/tex]
[tex]d_2 = 2 * 400 - 560[/tex]
[tex]d_2 = 800 - 560[/tex]
[tex]d_2 = 240[/tex]
And the time during the rain is:
[tex]t_2 = 11 - t_1[/tex]
[tex]t_2 = 11 - 4.4[/tex]
[tex]t_2 = 6.6[/tex]
So, we have:
[tex]d_1 = 560[/tex] --- distance covered before the rain
[tex]d_2 = 240[/tex] --- distance covered when raining
[tex]s_2 = s_1 -20[/tex]
[tex]t_1 = 4.4[/tex] ---- time spent before the rain
[tex]t_2 = 6.6[/tex] --- time spent in the rain
Speed is calculated as:
[tex]Speed = \frac{distance}{time}[/tex]
Make distance the subject
[tex]distance = speed * time[/tex]
So:
[tex]d_1 + d_2 = s_1 * t_1 + s_2 * t_2[/tex]
Recall that:
[tex]s_2 = s_1 -20[/tex]
Make [tex]s_1[/tex] the subject
[tex]s_1 = s_2 + 20[/tex]
The expression [tex]d_1 + d_2 = s_1 * t_1 + s_2 * t_2[/tex] becomes:
[tex]560 + 240 = (s_2 + 20) * 4.4 + s_2 * 6.6[/tex]
[tex]800 = 4.4s_2 + 88+ 6.6s_2[/tex]
Collect like terms
[tex]6.6s_2 + 4.4s_2 = 880 - 88[/tex]
[tex]11s_2 = 792[/tex]
Solve for [tex]s_2[/tex]
[tex]s_2= \frac{792}{11}[/tex]
[tex]s_2=72km/h[/tex]
The distance and time 400 km and 11 hours as well as the speed
reduction gives the speed during the rainy part as 60 km/h.
Which method can be used to find the speed in the rain?Based on the comment in the question, we have;
Given:
Distance between City A and City B = 400 km
Distance travelled at the same speed on his way back = [tex]\mathbf{\frac{2}{5}}[/tex] of the distance
Amount by by which his speed is reduced in the remaining [tex]\frac{3}{5}[/tex] of the distance because of rain = 20 km/h
The duration of the trip = 11 hours
Required:
How fast Mr. Jones was driving during the rainy part of his trip from City
B to City A?
Solution:
Let v represent the constant speed, we have;
[tex]Time = \mathbf{ \dfrac{Distance}{Speed}}[/tex]
The distance for which his speed is v = ([tex]\frac{2}{5}[/tex] + 1) × 400 km = 560 km
Total distance of the round trip = 400 km + 400 km = 800 km
The distance for which the speed = v - 20 = 800 km - 560 km = 240 km
Therefore, we have;
[tex]\mathbf{\dfrac{560}{v} + \dfrac{240}{v - 20}}= 11[/tex]
Which gives;
[tex]\mathbf{\dfrac{560 \times (v - 20) + 240 \cdot v}{v\times (v - 20) } } = 11[/tex]
11 × (v² - 20·v) = 560·v - 20 × 560 + 240·v
11·v² - 220·v - 560·v - 240·v + 11200
11·v² - 1020·v + 11,200 = 0
Using the quadratic formula, to solve the above quadratic equation we have;
[tex]v = \dfrac{1020 \pm\sqrt{(-1020)^2 - 4 \times 11 \times 11200} }{2 \times 11} = \dfrac{1020 \pm740 }{22} = \mathbf{ \dfrac{1020 \pm740 }{22}}[/tex]
v = 80 or v = [tex]12 . \overline{72}[/tex]
The possible value for the constant speed is therefore;
v = 80 km/h
The speed during the rain = v - 20, which gives;
The speed during the rain = 80 km/h - 20 km/h = 60 km/hLearn more about quadratic formula here;
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Alejandro used a mathematical property to create two equivalent expressions.
6(x + 2) = 6x + 30
Which of the following is the missing term?
O 24
Х
O 5x
6
5
Derek sold her house for $541,600, which was 140% of the amount she paid for it.
Calculate the amount she paid for the property.
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Answer:
$386,857.14
Step-by-step explanation:
You have ...
sold = 140% × paid
Dividing by 140% gives ...
paid = sold/1.40 = $541,500/1.40 = $386,857.14
Derek paid $386,857.14 for the property.
Two parallel lines, e and f, are crossed by two transversals.
What is the measure of <15
m<15 = 77°
m< 15 = 83°
m<15 = 93°
m<15= 97°
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Answer:
∠15 = 97°
Step-by-step explanation:
At any given transversal of parallel lines, all obtuse angles are congruent, and all acute angles are congruent. Obtuse angle 15 is congruent to the one market 97°.
∠15 = 97°
WILL MARK YOU IF YOU HELP ME !!!!
Answer:
Perpendicular bisector
Answer:
perpendicular bisector
For what value of x is the rational expression below equal to zero?
20+2x
5-x
O A. -10
O B. -5
C. 10
O D. 5
Answer:
A.-10 should be the answer to the question..
The rational expression is zero at x = -10.
What is rational expression?The ratio of two polynomials is known as a rational expression.
The given rational expression can equate to zero
[tex]\frac{20+2X}{5-X} =0[/tex]
Then, 20+2x=0
Therefore, x = (-20/2) = -10.
At x = -10, the given rational expression is zero.
To learn more about rational expression, use the link given below:
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Simplify the expression √(4-1)^2+(3+1)^2 using the order of operations.
Answer:
[tex]\sqrt{\left(4-1\right)^2}+\left(3+1\right)^2[/tex]
[tex]\longmapsto \sqrt{(4-1)^2} =3[/tex]
[tex]\longmapsto (3+1)^2=4^2[/tex]
[tex]\hookrightarrow 3+4^2[/tex]
[tex]\hookrightarrow 4^2=16[/tex]
[tex]\hookrightarrow 3+16[/tex]
[tex]\hookrightarrow 19\checkmark[/tex]
hope it helps
Answer:
5
Step-by-step explanation:
Given :
[tex]\sqrt{(4-1)^{2} +(3+1)^{2} }[/tex]
Now,
[tex]\sqrt{(3^{2} )+4^{2} } \\\sqrt{9+16}\\\sqrt{25} \\5[/tex]
Answer of the given expression will be 5.
A circle has a circumference of 28 centimeters. If an arc subtends a central angle of 55 degrees, what is the arc length?
A.4.28 centimeters
B.26.88 centimeters
C.53.76 centimeters
D.8.56 centimeters
Answer:
s = 4.28 cm (Answer A)
Step-by-step explanation:
1) The formula for the circumference of a circle of radius r is C = 2(pi)r, and this corresponds to a full circle, with central angle 360 degrees.
2) Here the circumference is 28 cm. Therefore, solving for the radius involves the following calculation: 28 cm = 2(pi)r, or
r = (28 cm) / (2 pi), or (28 cm) / 6.28 = 4.46 cm.
3) The arc length s = r(theta), when the central angle (theta) is 55 degrees, is (55/360) times the circumference of the circle: (55/360)(28 cm), or
s = 4.28 cm (Answer A)
199 rounded up to the nearest hundred
Answer:
199
Step-by-step explanation:
Answer:
It would be 200 because 199 is closer to 200 rather than 100.
The pie chart below shows the percentage of total revenue that a publisher receives from various types of publications. Use this chart to answer the questions
below.
Answer:
a. Cookbooks
b. 50%
c. 30%
Step-by-step explanation:
According To the Question,
We have a total revenue of a publisher describe in a circle (360°).a. Now, Approximately Cookbooks & Textbooks revenue Form 180°, but textbook revenue is more than cookbooks as clearly visible in the diagram
Thus, cookbooks are less than 90°.
Now, we have to find 1/5th of total publisher revenue which is 360°/5= 72°. & the Cookbooks is nearest to 72° ( less than 90°)
So, Answer For (a) is Cookbooks
b. Here in Diagram Clearly Visible that The Cookbooks & Textbooks Revenue Form 180° which is Approximately 50% of total Publisher's Revenue.
So, the Total Revenue Comes From Textbooks & Cookbooks is 50%.
c. Now We know the Cookbooks + Textbooks Revenue form 180° Approximately & Cookbook is approximately equal to 72° (as we solve above)
So, textbooks are 180°-72° = 108°, which is 30% of 360° ∴ 30% Revenue Come From Textbooks.
PLEASE HELP!
Determine which of the following lists is in order from smallest to largest.
1. -3,131,0, (-3)^2
2. (-3)^2,-3,0, |3|
3. -3,0,|3|, (-3)^2
4. 0,-3,|3|, (-3)^2
Answer:
3. -3,0,|3|, (-3)^2
Step-by-step explanation:
Answer:
answer would be option 3
Step-by-step explanation:
help this helps
What is 30% of 280 passengers
Answer:
84 Passengers
Step-by-step explanation:
30/100(280)
= 3/10(280)
= 84
Answer:
84
Step-by-step explanation:
30/100x280
So 84 is the answer
I can clean my apartment in two hours. My roommate could clean it in three hours. How long will it take use the clean the apartment if we work together?
Answer:
So in this question you want the average because both of y'all are working together. To take the average you want to multiply 2x3=6/2=3
3 hours if y'all work together!
Step-by-step explanation:
A right triangle has side lengths 7, 24, and 25 as shown below. Use these lengths to find cos B, tanB, and sin B.
Answer:
cosB = 7/25 = 0,28
tanB = 24/7 = 3,428571429
sinB = 24/25 = 0,96
Which rules of exponents will be used to evallate this expression? Select three options.
A small town experienced an explosive population increase Originally the town had population 170 within 3 years the town's population increased by 400% what is the town current population
Answer:
Step-by-step explanation:
We need to first find out how much 400% of 170 is and then add that increase to the original 170 people.
4(170) = 680 and
680 + 170 = 850 people after 3 years.
For the equation, complete the solution. 7x + y = −18
Answer:
x= - 18/7 - 1/7y, y
or if you are solving for y= -18-7x, x
( SEE OTHER IMAGE)
Step-by-step explanation:
See image below:)
Answer:
[tex]x= \frac{- 18 - y }{7}[/tex]
y = - 18 - 7x
Step-by-step explanation:
7x + y = - 18
7x + y - y = - 18 - y
7x = - 18 - y
[tex]\frac{7x}{7}= \frac{- 18 - y }{7}[/tex]
[tex]x= \frac{- 18 - y }{7}[/tex]
7x + y = - 18
7x - 7x + y = - 18 - 7x
y = - 18 - 7x
Will mark BRAINLIEST!! This is pt.2
Answer:
See below.
Step-by-step explanation:
Problem 3.
1. <3, <4
Given
2. <1, <2
Given
3. KG
Congruence of segments is reflexive.
4. HKG, LKG
ASA
Problem 4.
1. MR, OR
Given
2. PR, NR
Given
3. <2
Vertical angles are congruent.
4. MPR, ONR
SAS
A searchlight is shaped like a parabola. If the light source is located 3 feet from the base along the axis of symmetry and the depth of the searchlight is 4 feet, what should the width of the opening of the searchlight be?
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Answer:
8√3 ≈ 13.86 ft
Step-by-step explanation:
The light source is usually placed at the focus, so the focus-vertex distance is p=3 ft. The equation for the parabola with its vertex at the origin is ...
y = 1/(4p)x^2
y = 1/12x^2
The opening for some y-value extends ±x from the axis of symmetry, so is a total of 2x in width.
For y=4, the corresponding value of x is ...
4 = 1/12x^2
48 = x^2
√48 = x = 4√3
Then the width of the searchlight opening is ...
2(4√3 ft) = 8√3 ft ≈ 13.86 ft
HW HELP ASAP PLZZZZZ
Answer:
ur ans is here...
Two cities are 3450 miles apart. A plane leaves one of them, traveling towards the other at an average speed of 310 miles per hour. At the same time a plane leaves the other, traveling towards the first, at an average speed of 380 miles per hour. How long will it take them to meet?
Answer:
5 hours.
Step-by-step explanation:
let they meet after t hours.
310t+380t=3450
690t=3450
69t=345
t=345/69=5
Find the area of the sector in
terms of pi.
120°
24
Area = [?] π
Enter
Crhistine paid $633.68 for a handbag the sales tax in her state is 6.5% what was the price of the hand bag before the sales tax was added
Answer:
Step-by-step explanation:
X * (1.065) = $633.68
X = $633.68/1.065
X= $595.00
The price of the handbag before the sales tax was added is $595
What is sale tax?A sales tax is a tax paid to a governing body for the sales of certain goods and services. Usually laws allow the seller to collect funds for the tax from the consumer at the point of purchase.
Given that, Christine paid $633.68 for a handbag the sales tax in her state is 6.5%
Let the cost of the handbag before sales tax be x,
Therefore,
x + 6.5% of x = 633.68
x + 6.5 / 100 × x = 633.68
x(1 + 6.5 / 100) = 633.68
x(106.5 / 100) = 633.68
x = 633.68 × 100 / 106.5
x = 595
Hence, the price of the handbag before the sales tax was added is $595
Learn more about sales tax, click;
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27/7n > 4/3 select all the value of n that make the inequality true
A. 2/5
B. 1/5
C.1
D.2/9
E. 3/2
Answer:
A ajjajsjsjsjajsiyisisksksk
Xác suất xảy ra môt sự kiện là 0.3. Xác suất để sự kiện đó không xảy ra là?
Câu trả lời:
0,7
Giải thích từng bước:
Xác suất để một sự kiện xảy ra = 0,3
Cho sự kiện = A
P (A) = 0,3
Xác suất mà sự kiện không xảy ra có thể thu được bằng cách sử dụng quy tắc bổ sung;
P (A ') = 1 - P (A)
Vì thế,
P (A ') = 1 - 0,3 = 0,7
HELP ME PLSSSSSS
if f(x) = 2x-3/5 , which of the following is the inverse of f(x)?
Hallar la ecuación de la recta (2,3) y (1,-2)
Answer:
[tex]y=5x-7[/tex]
Step-by-step explanation:
Express in roster form. Set of B is the set of all elements x such that x is an element of natural numbers and x is a multiple of 8
=========================================================
Explanation:
The set of natural numbers is {1,2,3,...} basically anything positive and a whole number.
Any multiple of 8 is of the form 8x. Since x is a natural number, the smallest it can be is x = 1 which corresponds to 8x = 8*1 = 8. So 8 is the first multiple of the set. Then 16 is next because 8x = 8*2 = 16, and so on.
That's how we end up with {8, 16, 24, 32, ...}
The three dots, or ellipses, tell the reader that the pattern goes on forever. This set is infinitely large. We wouldn't stop at 800 because we could plug in say x = 200 to get 8x = 8*200 = 1600 and that's a multiple of 8.
Figure ABCD is a rectangle find the value of x
Answer:
Espanol la vecsu
Step-by-step explanation:
Answer:
x = 1
Step-by-step explanation:
The diagonals of a rectangle bisect each other , so
DE = EB , that is
7x - 1 = 2x + 4 ( subtract 2x from both sides )
5x - 1 = 4 ( add 1 to both sides )
5x = 5 ( divide both sides by 5 )
x = 1