The production cost, represented by y, of a Bluetooth device, is equal to the product of labour cost (m) and number of devices (x) in addition to a constant equipment renting fee (q) 1.1 write an equation to represent the production cost in terms of m, x and q. 1.2 Change the subject of the formula in 1.1 to: 1.2.1 m; 1.2.2 q, 1.2.3 x. Determine the cost if labour amounts to R1,245, with an equipment renting fee of R250, to produce 5 devices. 1.4 Suppose the production cost is R 18,925, labour cost is and equipment renting fee is R250, determine the number of devices produced. 1.5 Hence, write down the equation with y as the subject (in terms of x). The value of m and q must e indicated. Discuss whether it is possible that any devices are produced if the production cost is R0,00. 1.7 It is required that the production cost must be less than R123 505. Determine the possible number of devices that will be produced. Show your solution graphically. Use interval notation and indicate the restriction on the number type of your answer. Interpret your answer

Answers

Answer 1

It should be noted that the equation to represent the production cost will be y = mx + q.

How to calculate the equation

From the information given, the production cost, represented by y, of a Bluetooth device, is equal to the product of labour cost (m) and number of devices (x) in addition to a constant equipment renting fee (q). This will be: y = mx + q.

Changing the subject of the formula to m will be:

y = mx + q

y - q = mx

m = (y - q)/x

Learn more about equations on:

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Related Questions

(GIVING BRAINLIST)
The tables in the pottery class sit 8 students each. If there are 35 students in the class, how many tables are needed?
Group of answer choices

5

4

280

4.375

Answers

Answer:

The answer for this oblique question is 4.375

Step-by-step explanation:

for 35 ÷ 8 = 4.375

Answer:

35/8=4.375

5 tables needed

Step-by-step explanation:

35/8=4.375

you have to round cuz there can't be 0.375% of a student

and there can't be 0.375 of a table...so it's 5 tables

PLEASE HELP WILL GIVE BRAINLIEST!

The graph of Y equals X as shown in the graph below which equation represents the transformed function?

Answers

Answer:

a

Step-by-step explanation:

Can someone help me

Answers

Answer:

Q1/6.5

Q2/ 12.5

.....

.....

.....

......

......

.....

.

.....

.

Step-by-step explanation:

per minute means ÷ mins (on the denominator)

g(×)=(3×+12)/4
Find g^-1(×)
g^-1(6)

Answers

Answer:

fog)(x)=f(g(x))=2(3x+2)−1=6x+4−1=6x+3=3(2x+1)

f

(

x

)

=

3

2

x

,

g

(

x

)

=

3

x

2

+

2

Set up the composite result function.

g

(

f

(

x

)

)

Evaluate

g

(

f

(

x

)

)

by substituting in the value of

f

into

g

.

g

(

3

2

x

)

=

3

(

3

2

x

)

2

+

2

write an equivalent expression for (x+y)(x-y)

Answers

Step-by-step explanation:

(x+y)(x-y)

=> [tex] {x}^{2} - {y}^{2} [/tex]

Susan did a puzzle in 5 minutes and 55 seconds. Jamal did the same puzzle in 11 minutes and 42 seconds. Susan says, ‘I did the puzzle in less than half the time Jamal did the puzzle. Is Susan right?

Answers

Answer:

No, Susan is not right.

Step-by-step explanation:

Susan's time = 5:55

Jamal's time = 11:42

Half of Jamals time = 5:51

5:55<5:51

Susan is not right

Susan did a puzzle in 5 minutes and 55 seconds.
Jamal did the same puzzle in 11 minutes and
42 seconds.
Susan says, "I did the puzzle in less than half the
time Jamal
did the puzzle.
Is Susan right?


This is not true

no one will probably answer but just Incase.. please help me with this​

Answers

Answer:

50

Step-by-step explanation:

10 (x - y)

Substitute the given values for x and y.

10 (8 - 3)

= 10 (5)

= 10 x 5

= 50

hope this helps!! p.s. i really need brainliest :)

Simplify (8^2/3)^4.


I have to type this to post it

Answers

Answer:

256

Step-by-step explanation:

(a^n)^m = a^nm

=(8^⅔)⁴ =8^⅔×⁴

=2³×⅔×⁴ (8 = 2³)

=2^8 =256

Please mark my answer the brainliest

Answer:

Step-by-step explanation:

8 = 2*2*2 = 2³

[tex]\left[8^\left(\dfrac{2}{3}\right) \right]^{{4}}=\left[2^{3}^\left(\dfrac{2}{3}\right) \right]^{{4}}\\\\\\=2^{3*\dfrac{2}{3}*4}\\\\\\=2^{2*4}\\\\\\=2^{8}[/tex]

A foot contains 12 inches 5 inches is what fraction of a foot ​

Answers

Answer:

5/12 inches

Step-by-step explanation:

also, stop deleting my answers whoever you are

Answer:

5/12

Step-by-step explanation:

5/12 it is very easy

Nichole is out shopping and finds a $51.00 bike that was
marked down by 92%.
How much was the item originally?

Answers

it was originally "x" or that is 100%.  We also know that she found it for 51 bucks, and that those 51 bucks are 100% - 92% = 8% of the original price, so

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 51&8 \end{array}\implies \cfrac{x}{51}=\cfrac{100}{8}\implies \cfrac{x}{51}=\cfrac{25}{2} \\\\\\ 2x=1275\implies x=\cfrac{1275}{2}\implies x=637.5[/tex]

Cole rides his bike to the ball field starting from home. This describes his trip:

A. Rides toward the field
B. Stops to wait for a friend
C. Continues to ride toward the field

Drag one segment to each box to show the shape of the graph of Cole's distance from home for each interval of time. PLS HELP I GIVE 25 points

Answers

Answer:

i think it is a because that the answer

What is the distance between the points (–4, –8) and (10, –8)?

Answers

Answer:

  14 units

Step-by-step explanation:

The two given points have the same y-coordinate, so lie on the horizontal line y = -8. The distance between the points will be the difference of their x-coordinates.

  distance = 10 -(-4) = 10 +4 = 14

The distance between the points is 14 units.

Answer:

14 units

The two given points have the same y-coordinate, so lie on the horizontal line y = -8. The distance between the points will be the difference of their x-coordinates.

Step-by-step explanation:

The two given points have the same y-coordinate, so lie on the horizontal line y = -8. The distance between the points will be the difference of their x-coordinates.

 distance = 10 -(-4) = 10 +4 = 14

The distance between the points is 14 units.

polynomials worksheet

Answers

Answer:

yes what the person above said.

Step-by-step explanation:

Solve for x. Round to the nearest tenth, if necessary.
х
F
F
3.5
1167
E

Answers

Check the picture below.

Make sure your calculator is in Degree mode.

remove the parentheses
8(8+v)
HELPP PLSS

Answers

Answer:

64+8v

Step-by-step explanation:

8(8+v)

distribute

64+8v

Homework Section 9.. On a photograph of a triangular piece of land, the lengths of the three sides are 6 cm, 8 cm, and 9 cm, respectively The shortest side of the actual piece of land is 180 m long Find the lengths of the other two sides​

Answers

Answer:

Step-by-step explanation:

180m = 180 * 100 = 18000 cm

Scale factor = 6 : 18000

                    = 1 : 3000

Length of other two sides:

8*3000 = 24000 cm  = 240 m

9 * 3000 = 27000 cm = 270 m

What is true about sides opposite congruent
angles within a triangle?

Answers

Answer:

The converse of the base angles theorem is always true. The base angles theorem states that if two sides of a triangle are congruent the angles opposite them are also congruent. The converse of this statement is that if two angles in a triangle are congruent, then the sides opposite them will also be congruent

Step-by-step explanation:

Find the lengths of AC. Round your answer to the nearest whole number. C a 22.69 B 13 cm A​

Answers

The triangle ABC is a right triangle

The length of AC is 12.00 cm

How to determine the length of AC

From the figure, we have the following parameters:

Length AB = 13 cm

Angle A = 22.6 degrees

Represent the length AC with b.

So, we have the following cosine ratio

[tex]\cos(A) = \frac{b}{AB}[/tex]

Substitute known values

[tex]\cos(22.6) = \frac{b}{13}[/tex]

Make b the subject

[tex]b = 13 * \cos(22.6)[/tex]

Evaluate the product

[tex]b = 12.00[/tex]

Hence, the length of AC is 12.00 cm

Read more about right triangles at:

https://brainly.com/question/16249977

0.05194 rounded to the nearest tenth

Answers

Answer:

0.1

0.05194 rounds to 0.1, as it is shifted more towards 0.1 than 0.0 on a number line

Cos s=-2/5 and sin t=4/5, s and t are in quadrant 4 find cos(s+t) and cos(s-t)

Answers

With Cos s=-2/5 and sin t=4/5, s and t are in quadrant 4,  cos(s+t) and cos(s-t) is mathematically given as

cos(s+t)= 0.493

cos(s-t)= 0.97321

What are the values of cos(s+t) and cos(s-t)?

Question Parameter(s):

Cos s=-2/5 and sin t=4/5, s and t are in quadrant 4

Generally, the equation for the s and t as functions of the 4 qudrants is mathematically given as

cos(s+t) = cos(s)*cos(t) - sin(s)*sin(t)

Therefore

cos(s+t)= -4/5 * [tex](-\sqrt{21}[/tex]/5) - (-3/5)*(-2/5)

cos(s+t)= 4*[tex]\sqrt{21}/[/tex]25 - 6/25

cos(s+t)= 0.493

In conclusion,

cos(s-t) = cos(s)*cos(t) + sin(s)*sin(t)

cos(s-t)= -4/5 * (-[tex]\sqrt{21}/[/tex]5) + (-3/5)*(-2/5)

cos(s-t)= 4[tex]*\sqrt{21}[/tex]/25 + 6/25

cos(s-t)= 0.97321

Read more about Lenght

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The radius, R , of a sphere is 3.2 m. Calculate the sphere's volume, V . Use the value 3.14 for pi , and round your answer to the nearest tenth. (Do not round any intermediate computations.)

Answers

Answer:

=137.2m^3

Step-by-step explanation:

Formula:
V=4/3πr^3

=4/3*3.14*3.2^3
=4/3*3.14*32.768

V=137.188693333m^3

V Rounded=137.2m^3

Find the lengths of the missing sides if side a is opposite angle A, side b is opposite angle B, and side c is the hypotenuse.
c = 18, ∡ A = 45

Answers

Answer:

ok 1920

Step-by-step explanation:

television has a normal price of 675

in a sale, the price is reduced by 32%

work out the price of the television in the sale

Answers

Answer:

$459

Step-by-step explanation:

Given the following question:

32% of 675

To find the answer to this question we need to use the formula to calculate 32% of 675. Then we subtract that answer from our original price which will then give us our answer.

[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{32\times 675}{100}[/tex]
[tex]32\times675=21600[/tex]
[tex]21600\div100=216[/tex]
[tex]=216[/tex]

Subtract from the original price:
[tex]675[/tex]
[tex]675-216=459[/tex]
[tex]=459[/tex]

The television after a 32% discount will cost "$459."

Hope this helps.

Original price of a shirt: $76.50
Discount: 55%
Tax: 6%




Please help dont just answer a wrong answer I give 80 points to who answers it

Answers

Answer:

I believe the answer is $36.50.

Step-by-step explanation:

First, I subtracted 55% of the original price of the t-shirt to the original price of the t-shirt. Then, I added 6% of the price to the discounted price of the t-shirt.

I believe this is right.

55/100 x 76.50 = 42.075
76.50- 42.075 = 34.425
6/100 x 34.425 = 2.06
34.425+2.06 = 36.485
Rounded- 36.49
So your answer is $36.49

Area of a triangle 11.7 m
11.7 m
19.2 m
12.3 m 2

Answers

Answer:

Step-by-step explanation:

Unit of area is m^2, so last choice

Bobby's cat runs x mph. Bobby's dog runs twice as fast as his cat. suppose Bobbys cat and dog were 6 miles apart after 30 min. Write an equation to describe this situation

Answers

The equation to describe this situation is that Bobby's cat and dog were 6 miles apart after 30 minutes is 0.5x = 6

Bobby's cat's speed

Since Bobby's cat runs at x mph, its speed is x mph.

Bobby's dog's speed

Also, Bobby's dog runs twice as fast as his cat. So, his dog's speed is v = 2x.

Time

Since they both move a distance in t = 30 min = 30 min × 1 h/60 min = 0.5 h.

Bobby's cat's distance

Bobby' cat's distance in 30 mins is d = x × 0.5 h

= 0.5x miles

Bobby's dog's distance

Also, Bobby's dog covers a distance in 30 min, D = v × 0.5 h

= 2x × 0.5 h

= x miles

The required equation

Since Bobbys cat and dog were 6 miles apart after 30 min, we have that

D - d = 6

x - 0.5x = 6

0.5x = 6

So, the equation to describe this situation  that Bobby's cat and dog were 6 miles apart after 30 minutes is 0.5x = 6

Learn more about linear equations here:

https://brainly.com/question/15602982

Answer:

1.5x=6

Step-by-step explanation:

after 30 min they will be 1.5x miles apart from each other, so you know that they traveled 6 miles, 1.5x=6 :)

Rsm sucks :(

Find angle C, can someone help me with this please?

Answers

Angle C= 98°

Explanation:

First, find angle T, which will be 180°-130° (Angle T=50°)

Now you can work out for x
You know that all the angles in a triangle add up to 180°, which means that 50+x+(3x+2)=180°
Change subjects in order to find the value of x first
x+3x=180-50-2
4x=128
x=32

Now that you found the value of x, substitute it into the value of angle C
Angle C= 3x+2
Angle C= 3(32)+2
Angle C=98°

Answer:

m∠C = 98°

Step 1: Derive an Equation

To solve this problem, we will use what is called the Exterior Angle Theorem. This states that in a triangle, the measure of an exterior angle is equal to the sum of the measures of its 2 corresponding remote interior angles.

Exterior angle - an angle formed by the extension of 1 side of the triangleRemote interior angles - the 2 angles that don't share a vertex with the exterior angle

In this case, the exterior angle is ∠T (the obtuse one) and the remote interior angles are ∠C and ∠Y. Therefore, m∠T = m∠C + m∠Y.

Substituting the given measures into the equation, we get:

[tex]3x+2+x=130[/tex]

Step 2: Solve the Equation

[tex]3x+2+x=130[/tex]

[tex]4x+2=130[/tex] (Combine like terms)

[tex]4x=128[/tex] (Subtract 2 from both sides to isolate [tex]x[/tex])

[tex]x=32[/tex] (Divide both sides by 4 to get rid of [tex]x[/tex]'s coefficient)

Step 3: Answer the Question

We now know what [tex]x[/tex] is. Therefore, m∠C = [tex]3*32+2=\bf 98 \textdegree[/tex].

To learn more about the Exterior Angle Theorem, check out the following questions:

https://brainly.com/question/17147409https://brainly.com/question/6330929

How do I solve for X

Answers

Answer:

x=16

Step-by-step explanation:

so since a right angle is shown the it's telling that it's an isosceles triangle so you do 22-6=16

answer=16

The equation is written as x + 6 = 22. Then the value of the variable 'x' will be 16.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

From the figure, line AB is divided into two equal parts. Then the triangles will be congruent with each other by SAS postulates.

Then the side length (x + 6) is equal to the side length (22). Then the equation is given as,

x + 6 = 22

Simplify the equation, then we have

x + 6 = 22

x = 22 - 6

x = 16

The equation is written as x + 6 = 22. Then the value of the variable 'x' will be 16.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

Which function shows a fabric with a price of $1.25 per square yard?

Answers

Answer:

No option is correct.

Step-by-step explanation:

See attached image (without the student).

What is the anwser I need to get this done!!

Answers

Answer:

1. none of these

2. vertical angles

Step-by-step explanation:

itz cuz im that bi/tch

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