Complete question is;
The function f(x) = (25000 + 280x)/x models the average cost per unit, f(x), for Electrostuff to manufacture x units of Electrogadget IV. How many units must the company produce to have an average cost per unit of $390?
Answer:
227 units
Step-by-step explanation:
We are given the function;
f(x) = (25000 + 280x)/x
Where;
f(x) is the average cost per unit
x is the number of units
Now, we want to find out how many units the company must produce to have an average cost per unit of $390.
Thus, plugging $390 for f(x), we have;
390 = (25000 + 280x)/x
When we cross multiply, we get;
390x = 25000 + 280x
390x - 280x = 25000
110x = 25000
x = 25000/110
x ≈ 227
Kevin is looking for a job as a graphic designer. One ad lists a job that pays 64.6K. Another job he found has a weekly salary of $1,120. What is the difference in the weekly salaries of these two jobs? Round to the nearest dollar.
Answer:
The difference between the two weekly salaries is $122
Step-by-step explanation:
One job pays $64,600 per year. Since there are 52 weeks in a year, the weekly salary for this job is the quotient: $64600/52 = $1242.31 which rounded to the nearest dollar gives: $1242 per week
The other job pays $1120 per week. Therefore the difference in weekly salary for the two is:
$1242 - $1120 = $122
Bill and gwyll are going on holiday to the USA. Bill changes £450 into $729 Gwyll changes £500 into $780 What exchange rate did bill get? What exchange rate did Gwyll get?
Answer:
Bill's exchange rate was $1 to £1.62
Gwyll's exchange rate was $1 to £1.56
Step-by-step explanation:
Given
Bill changed £450 into $729
Gwyll changes £500 into $780
Required
Determine their exchange rates
Exchange rate is calculated by dividing the currencies against one another.
Given that they both changed from pound to dollar, the exchange rate is calculated as thus;
[tex]Rate = \frac{Amount\ in\ pound}{Amount\ in\ dollar}[/tex]
Calculating Bill's Exchange Rate
[tex]Rate = \frac{\£729}{\$450}[/tex]
[tex]Rate = \frac{\£1.62}{\$1}[/tex]
Represent as a ratio
[tex]Rate = \£1.62:\$1[/tex]
Hence, Bill's exchange rate was $1 to £1.62
Calculating Gwyll's Exchange Rate, using the same formula and steps
[tex]Rate = \frac{\£780}{\$500}[/tex]
[tex]Rate = \frac{\£1.56}{\$1}[/tex]
Represent as a ratio
[tex]Rate = \£1.56:\$1[/tex]
Hence, Gwyll's exchange rate was $1 to £1.56
Find the factors in the expression: 3x( x +4)
A 3x, x and 4
B 3x and ( x + 4)
C 3, x and (x + 4)
D 3, X, X, and 4
Dwayne had 136 songs on his phone. He deleted 56 songs. What is the
ratio of songs he kept to songs he deleted in its simplest form)?
Answer:
10 : 7
Step-by-step explanation:
Deleting 56 songs leaves 136 - 56 = 80 songs, thus
ratio of songs kept : songs deleted = 80 : 56 ( divide both parts by 8 )
80 : 56 = 10 : 7 ← in simplest form
What is 2,440 divided by 8 can you show your work please?
Answer: [tex]305[/tex]
Shown work is on the image below.
What is the quotient and remainder of 21÷6
Answer:
3 remainder 3
Step-by-step explanation:
can anyone pls tell me when do we cross multiply and when do we multiply 10 * 75 im really confused
You don't multiply liters of gasoline by distance.
They are directly proportional - the more gasoline you have the longer is the dictance you can go.
So it's cross multiply.
Another examlpe:
you are paid by hour for your work. The more hours you have worked, the more you are paid:
hours payment
2 h $36
5 h x
[tex]x=\dfrac{5\cdot36}2=90[/tex]
You would multiply 10•70 if they were inversely poportional values
For example:
1. speed and time of ride by given distance {the greater the speed the less time you need for a ride}
speed time
10 m/s 75 s
8 m/s x
[tex]x=\dfrac{10\cdot75}{8}=93.75\,s[/tex]
2. price and kolos of apples - the higher the pice the less of kilos you can buy by given cash
price kilos of apples
$2 8
$4 x
[tex]x=\dfrac{2\cdot8}{4}=4\,kg[/tex]
Si el divisor de una división es 67, el cociente es 495 y el residuo es 31, ¿cuál es el valor del dividendo? A. 33.196 B. 33.264 C. 34.412 D. 34.528
Answer:
Divisor = 67, Cociente = 495
Resto = 31
Dividendo = Cociente × Divisor + Resto
Dividendo = 495 × 67+ 31
= 33165 +31
= 33,196
Step-by-step explanation:
what number sets or set does -5 belong to?
Answer:
-5 belongs to the set of Integers, Rational numbers, and Real numbers.
Use the figure below for questions 5-8.
5. Name a point coplanar to point K.
6. Name the intersection of plane R and JL.
7. Name three non-collinear points.
8. Give another name for line JK
Answer:
5. Both M and N (but u just need to choose one)
6. K
7. You can choose (K,M,N) ; (J,L,M) ; (J,L,N) ; (M,N,L) ; (M,N,K)
8. Line JL or KL
A line segment is also a line but a line with finite length and has fixed endpoints. A point coplanar to point K is point M.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
A line segment is also a line but a line with finite length and has fixed endpoints.
The answers to the following questions can be given as shown below.
The coplanar point lies on the same plane. A point coplanar to point K is point M or point N.The intersection of plane R and JL is K.Three non-colinear points, (K,M,N) or (J,L,M) or (J,L,N) or (M,N,L) or (M,N,K).Another name for line JK is line KL or line JK.Hence, Another name for line JK is line KL or line JK.
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What are the angles in a 30˚- 60˚- 90˚ triangle after it is rotated 45˚?
Group of answer choices
75˚-105˚-135˚
30˚-60˚-90˚
None of the above
45˚-45˚-90˚
Answer:
The correct option is;
30° - 60° - 90°
Step-by-step explanation:
Rotation is one of the three rigid transformation of which others are reflection and translation. In a rotation transformation of a figure about a fixed point, known as the center of rotation, the figure is turned in a circular path about the fixed point or center of rotation. The size and shape of the pre-image the rotation are the same however, depending on the angle of rotation, their facing directions may be different. The specification of a rotation can be in the clockwise direction or in the anti-clockwise direction
The shape of the triangle in the question and the image are the same and are therefore congruent. All interior angles of the triangle and those of its rotation will therefore be congruent.
What's (-7)+9 Ps. This is adding integers
Answer:
Step-by-step explanation:
When two integers are in different sign, subtract and the result will have the bigger number sign
-7 + 9 = 2
Subtract and the 9 is the bigger number and its sign is +. So, the result is = +2 or 2
what is the equation of the line perpendicular to the line y=3x+2 and passing through the point (3, -4)
A: y=3x-4
B: y=3x-2
C: y=-(1/3)x-5
D: y=-(1/3)x-3
HELP
Answer:
D: y= -(1/3)x -3Step-by-step explanation:
[tex](3, -4)=(x,y)\\y=3x+2\\\\m_1 =3\\In\: perpendicular\: line ;\\\\m_2 = \frac{-1}{m_1} \\m_2 = \frac{-1}{3} \\m_2 = -1/3\\\\Substitute \:new\:values\:into\: ;y=mx+b\\\\-4 = -\frac{1}{3} (3) + b\\-4 = -1 +b\\-4+1 =b\\-3 =b\\Substitute \:new\:values\:into\: ;y=mx+b\\y =-\frac{1}{3}x -3[/tex]
what is the value of x. 1.6(15x + 25)= -6x -5
Answer:
[tex]x = - \frac{3}{2} \: \: \: or \: \: - 1.5[/tex]Step-by-step explanation:
1.6(15x + 25)= -6x -5
Multiply the terms
That's
24x + 40 = - 6x - 5
Add 6x to both sides
24x + 6x + 40 = 6x - 6x - 5
30x + 40 = - 5
Subtract 40 from both sides
That's
30x + 40 - 40 = - 5 - 40
30x = - 45
Divide both sides by 30
We have the final answer as
[tex]x = - \frac{3}{2 } \: \: \: or \: - 1.5[/tex]Hope this helps you
1 Joan went to the bookstore. • At this bookstore, 3/4 of the books are fiction. • Of the fiction books, 1/3 are mystery books. What fraction of the books at the bookstore are mystery fiction books?
Answer:
1/4 would be mystery i think because 3/4 of them are fiction and 1/3 of them are mystery fiction.
Answer:
1/4
Step-by-step explanation:
In the Mississippi River Delta, fresh water (0% salinity) mixes with salt water from the Gulf of Mexico (3 1 2% salinity). If 1,000 gallons of river water mixes with 3,000 gallons from the Gulf, how many gallons result, and what is its percent salinity? (Estimate a reasonable percent range for your answer before you solve.)
Answer:
The total resulting gallons of water is 4,000 gallons
The concentration of the resulting solution is 2.625% salinity
Step-by-step explanation:
The salinity of the fresh water from the Mississippi River Delta = 0%
The salinity of the water from the Gulf of Mexico = 3 1/2%
Therefore, if 1,000 gallons of river water mixes with 3,000 gallons from the Gulf, we have;
The total resulting gallons of water = 1,000 + 3,000 = 4,000 gallons
The total resulting gallons of water = 4,000 gallons
The concentration of the resulting solution is found as follows;
The concentration of the resulting solution = (3 × 3 1/2)/400 × 100 = 2.625%
The concentration of the resulting solution = 2.625% salinity.
The swimming pool near Maya's house charges $6.00 per visit. There is also a yearly pass available for $190.00. Maya is deciding whether
she should buy the yearly pass.
What is the fewest number of visits Maya must make to the pool so that the yearly pass will be less expensive than paying $6.00 per visit?
Answer: 31 times
Step-by-step explanation:
The way solve the problem is, you multiply $6.00 by 31 ( How I did it I multiply a lot of numbers by $6.00...) and you get $186.00. now 6 cannot fit in any further you have the cost, and the number of times Maya can go, without paying for the pass.
What the range of the relation in the table below ?
Answer:
the first option
letter a 0,2, 4
Step-by-step explanation:
It is the only possible answer
Solve the following equation for b. Be sure to take into account whether a letter is capitalized or not. 2Mb = F - g?
, Answer: b =
Answer:
b = (F - g)/2M
Step-by-step explanation:
2Mb = F - g
Divide each side by 2M
2Mb/2M = (F - g)/2M
b = (F - g)/2M
Answer: Answer in steps
Step-by-step explanation:
2Mb =f-g Divide both sides by 2M
b= [tex]\frac{f}{2M} - \frac{g}{2M}[/tex]
Kayla ate 3 more than twice as many pieces of candy as Luke ate. If xx represents the number of pieces of candy that Luke ate, which expression represents the number of pieces of candy that Kayla ate?
Answer:
(xx*2)+3
you have to find twice as many before adding three
Explain what the y-intercept of a line is
Answer:
The Y intercept happens when x = 0
Step-by-step explanation:
When x = 0, it lands on the y coordinate, creating the Y intercept
Amanda Roberts works a Monday through Friday work week at a rate of $8.75 per hour. She takes a 1- hour lunch break. If she clocks in each day at 8:45 am and leaves at 5:15 pm, what is her total pay for the week?
Answer:
$328.13
Step-by-step explanation:
First, find the amount of time she works every day.
Between 8:45 and 5:15, there are 8.5 hours.
Subtract 1 for her lunch break, so there are 7.5 hours worked every day
Then, calculate how much she gets every day:
7.5(8.75)
= $65.625
Multiply this by 5 to find her pay for the week:
65.625(5)
= $328.13 is her total pay for the week
The total pay for the week will be $318.75.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Amanda Roberts works a Monday through Friday work week at a rate of $8.75 per hour. She takes a 1- hour lunch break. If she clocks in each day at 8:45 am and leaves at 5:15 pm.
The number of hours from 8:45 am to 5:15 pm will be 8.5 hours.
And the number of working days will be 5.
Then the total pay for the week will be
⇒ $8.75 x 5 x (8.5 - 1)
⇒ $8.75 x 5 x 7.5
⇒ $318.75
The total pay for the week will be $318.75.
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What are the first five multiples of 12?
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A multiple is a number that can be divided by that number with no remainder. For example, multiples of 5 are 5, 10, 15, and 20.
A multiple of 12 is basically 12 × (number of multiple), for example, if you want the second multiple of 12, you would multiply 2 by 12.
So multiply 12 by 1, 2, 3, 4, and 5.
12×1=12
12×2=24
12×3=36
12×4=48
12×5=60
The first five multiples of 12 are 12, 24, 36, 48, and 60.
━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━
Answer:
12,24,36,48, and 60
Ues the diagrams to solve for x and y.
please try to explain too please
Answer:
y=4 , x= 12
Step-by-step explanation:
This question deals with linear equations so, with this problem, subsitution is the easiest form of solving.
x + y = 16
8 + y = x
Now you know that x = 8 + y, so replace it in the opposing equation.
8 + y + y = 16 (simplfy)
8 + 2y = 16 (subtract 8 from each side)
2y = 8 (divide each side by 2)
y = 4
plug into other formula
8 + 4 = x
x =12
Answer:
y=4 , x= 12
Step-by-step explanation:
x + y = 16
8 + y = x
8 + y + y = 16 (simplfy)
8 + 2y = 16 (subtract 8 from each side)
2y = 8 (divide each side by 2)
y = 4
8 + 4 = x
x =12
I need this explained for me, by the way, the red answers are actually correct.
Answer:
i can only answer number one
Step-by-step explanation:
you see that (2x+10) well 10^2=100(1 and a straight line is 180 so 180-100=80 that is how they got 80
(4 + 2i) + (-3 – 5i)
Answer:
(1 - 3 i)
Step-by-step explanation:
(4 + (2 * i)) + ((-3) - (5 * i)) =
Answer:
1-3i
Step-by-step explanation:
A circular region has population of about 15,500 people and a population density of about 775 people per square kilometer find the radius of the region
Answer:
Radius of the region = 2.5 km (Approx)
Step-by-step explanation:
Given:
Total population = 15,500
Density = 775 people per square kilo meter
Find:
Radius of the region
Computation:
Total ares = 15,500 / 775
Total ares = 20 km
Total ares = πr²
20 = (22/7)r²
r² = 6.363636
r = 2.52
Radius of the region = 2.5 km (Approx)
The table below shows the number of miles that a cross country team ran each day last week. What is the mean number of miles? Round your answer to the nearest tenth, if necessary. Cross Country Training Routine Day Miles Mon 6 Tues 8 Wed 7 Thurs 6 Fri 8 Sat 7 Sun 8 Group of answer choices 7.1 miles 6.7 miles 6.3 miles None of the other answers are correct 7 miles
Answer:
7 miles.
Step-by-step explanation:
6+8+7+6+7+8/6
42/6
= 7 miles
The answer is 7 miles.
Describing How to Format Tables Using Table and Border Styles
Which tasks did Tristan do to format his table? Check
all that apply
Page 1
Page 2
Tristan's modified table is shown below.
O He clicked the Design tab.
Use
O He selected the whole table.
Percentage
17.5
9.5
O He changed the Table Style.
He used the No Border option.
He used the same Border Style.
He clicked the Banded Rows option.
9.2
9.1
Space cooling
Water heating
Lighting
Space heating
Refrigerators and freezers
Television and related
equipment
All other uses
8.8
5.9
40.0
He then formats his table using Table and
Answer:
He clicked the design tab
He selected the whole table
He changed the table style
Step-by-step explanation:
Just did the assignment :)
Therefore, the answer is as follows:
He clicked the design tab.He selected the whole table.He changed the table style.Know more about Tables and borders here:
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(17+3)/10x(3-1) please help
Answer:
I think this is the right answer: 1/x
Step-by-step explanation: