3.1.3 How far was the hiker at 10:30?
8km
ACTIVITIES
1. Siyabonga runs a car wash business. The monthly expenses for his business include:
R1 400,00 in salaries.
R5,20 per washed car, for water, soap and electricity.
Siyabonga charges R25,00 per car for a wash and vacuum.
1.1.White down a formula to represent the total monthly cost that Siyabonga incurs in running his car
wash business as dependent on the number of cars washed.
(2)
1.2.Write down a formula to represent the total monthly income that Siyabonga generates as dependent
on the number of cars washed.
(2)
1.3. Use trial and improvement to determine how many cars Siyabonga must wash per month in order to
break even and cover all business expenses.(2)
1.4.How much must Siyabonga earn in income per month in order to break even? (2)
1.5.The graphs below resent the total monthly cost and total income for Siyabonga's car wash business.
2.500
2,400
2,300
2 200
2,100
2,000​

Answers

Answer 1

Answer:

[tex]y = 1400 + 5.2x[/tex] --- Running cost

[tex]y = 25 x[/tex] --- Monthly income

71 cars

R1775

Step-by-step explanation:

Given

Expenses

[tex]Salaries = 1400.00[/tex]

[tex]Others = 5.20[/tex] per car

Income

[tex]Rate = 25.00[/tex] per car

Solving (a): Expression for the running cost

This is calculated as:

[tex]y = Salary + Others * x[/tex]

Where

y = Total running cost

x = number of cars

So:

[tex]y = 1400 + 5.20 * x[/tex]

[tex]y = 1400 + 5.2x[/tex]

Solving (b): Expression for monthly income

This is calculated as:

[tex]y = Rate * x[/tex]

Where

y = Total income

x = number of cars

So:

[tex]y = 25.00 * x[/tex]

[tex]y = 25 x[/tex]

Solving (c): Break even

To do this, we equate the expressions in (a) and (b)

[tex]y = y[/tex]

[tex]25x = 1400 + 5.2x[/tex]

Collect Like Terms

[tex]25x -5.2x= 1400[/tex]

[tex]19.8x= 1400[/tex]

Solve for x

[tex]x = \frac{1400}{19.8}[/tex]

[tex]x = 71[/tex]

Solving (d): How much to break even

Substitute 71 for x in any of (a) or (b)

[tex]y = 25 x[/tex]

[tex]y = 25 * 71[/tex]

[tex]y = 1775[/tex]

Solving (e): There is no question to answer on the "graph"


Related Questions

1 pipe can drain a swimming pool in 4 hours. A second pipe can drain the pool in 6 hours. How long will it take to drain the pool if both pipes are used?

3 hours
2 2/5 hours
10 hours
2 hours​

Answers

Answer:

[tex]2 \dfrac25[/tex]

Step-by-step explanation:

The first pipe drains 1/4 of the pool every hour, and the second pipe drains 1/6 of the pool every hour. Combined, they drain [tex]\dfrac14 + \dfrac16 = \dfrac{5}{12}[/tex] of the pool per hour. Therefore, it will take 12/5 hours, or 2 2/5 hours.

(brainliest pls ty)

Both pipe are together then they take 6 hour to fill the pool.

In 1 hour they fill the pool is 110 hours

What is the explanation?

In 1 hour pipe A can fill the pool = x/1

​In 1 hour pipe B can fill the pool= y/1

​so

4 hours=x/4

6 hours=y/6

If both pipe are together then they take 6 hour to fill the pool.

If the are together then in 1 hour they fill the pool.

x/1 +  y/1 = 6/1+4/1= −−−−(1)

=10 hours

Example:A swimming pool may be filled using two pipes in 12 hours. Only half of the pool can be filled if the larger pipe is utilized for 4 hours and the smaller pipe for 9 hours.

10,000 divided by 240 minutes, or 4 hours, yields approximately 41.6. With the drain blocked, your pool would therefore fill at a rate of about 41 gallons per minute.

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Joseph buys a watermelon that weighs 5%

kilograms. He also buys a cantaloupe that

weighs 2,500 grams. What is the weight

difference in grams?

Answers

Answer:

The watermelon weighs 2,500 grams more than the cantaloupe.

Step-by-step explanation:

Giving the following information:

Watermelon= 5kg

Cantaloupe= 2,500 grams

We know that 1 kilogram equals 1,000 grams.

First, we need to determine the weight of the watermelon in grams.

Watermelon= 5*1,000= 5,000 grams

Now, the difference:

Difference= 5,000 - 2,500

Difference= 2,500 grams

The watermelon weighs 2,500 grams more than the cantaloupe.

Laura compro un carro con un valor de $150,000 pesos y firmo un pagaré a 3 años, a una tasa de interés compuesto de 2% ¿Cuánto va a pagar al final del plazo?

Answers

Answer:

say dat but in english

Step-by-step explanation:

and ill help you

what are the rules of the tables? 50pts

Answers

Answer:

23,43,56

Step-by-step explanation:

espero que te ayude

Step-by-step explanation:

sorry i know the rule of second one only

for that

y=2x+5

x=(y-5)/2

by using this rule

for

x=2. y=2×2+5=9

x=(23-5)/2=9. y=23.

Please Help Me!!! (15 points)

Answers

Answer:

Step-by-step explanation:

y = 5x + 1

Table for input-output values is,

x        0         1           2           3

y        1          6          11          16          

Now we can plot these points to get the graph.

y = x + 2

Table for the Input-output values,

x       0         1           2          3

y       2         3          4          5

We can get the graph as attached.

Hillary works at a video store. she earns $8.50 per hour plus 12% commission on all the weekly sales she makes. If she works 24 hours in a week, which expression best describes her sales (x) if she earns at least $324 during that week

Answers

Answer: See explanation

Step-by-step explanation:

Let her sales be represented by x.

Based on the information given in the question, the equation to calculate her sales goes thus:

(8.50 × 24) + (12% × x) ≥ 324

204 + (0.12 × x) ≥ 324

204 + 0.12x ≥ 324

0.12x ≥ 324 - 204

0.12x ≥ 120

x ≥ 120/0.12

x ≥ 1000

Her sales is at least $1000

The equation m=15h represents the amount of, m, money you make after the number of, h, hours you work.
How much money will you have made in 8 hours?

Answers

Answer:

m=120

Step-by-step explanation:

m=15(8)

Answer:

m = 120

Step-by-step explanation:

m = 15h

h = 8 hours

m=15 x 8

m = 120

If co\/id wasn't a thing what would you be doing right now???

Answers


I really do be going out everyday but making sure I got my mask on

the perimeter o DOG is 33. If DO = 10 and DG = 12, find the larger of the two segments into which the third side is divided by the angle bisector of ODG

Answers

Answer:

The size of the larger of the two segments = 6

Step-by-step explanation:

Attached below is the triangle  ( DOG )

perimeter of Triangle = 33

DO = 10

DG = 12

OG = x

formula for perimeter = DO + DG + OG = 33

                                   = 10 + 12 + OG = 33

hence: OG = 33 - ( 10 + 12 ) = 33 - 22 = 11

third side ( x ) = 11

Finally determine the length of the larger of the two segments of side ( OG)

from the diagram below

[tex]\frac{y'}{x'} = \frac{12}{10}[/tex]   -------------------- ( 1 )  

where x' = 11 - y'

hence equation 1 becomes

10y' = 12x'

10y' = 12 ( 11 - y' )

10y' = 132 - 12y'

22y' = 132

∴ y' = 132 / 22 = 6

hence x' = 5

Geometry > 5.3 Mrea of parutions and tre
What is the area?
9 yd
13 yo
square yards
Submit

Answers

Answer:

117

Step-by-step explanation:

Since we can see it is a parallelogram so

base (b) = 13 yd

height (h) = 9 yd

area of parallelogram

= b * h

= 13 * 9

= 117 square yards

Answer:

Area = b x h

Area = 13 x 9 = 117 yd²

Step-by-step explanation:

HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEE WILL GIVE BRAINLIST

Answers

Answer:

[tex]24m^{3}[/tex]

Step-by-step explanation:

V = [tex]a^{2} \frac{h}{3}[/tex]

a = 3

h = 8

If we put this on out formula, it would look:

V = [tex]3^{2} \frac{8}{3}[/tex]

V = 9[tex]\frac{8}{3}[/tex]

[tex]\frac{8}{3}[/tex] = 2.67

V = 9 x 2.67

V = 24.03

Round to the nearest whole number:

24.03 = 24

Answer:

A) 24 m 3

Step-by-step explanation:

Which is equivalent to the complex number i^32?

Answers

Answer:

where i^2 = -1 (minus one)

So, i^2 = -1

i^4 = (i^2)^2 = (-1)^2 = -1 X-1 = 1

like ;

i^32 = (i^2)^16 = (-1)^16 =  -1 X -1 X-1 X -1 X-1 X -1 X-1 X -1 X-1 X -1 X-1 X -1 X-1 X -1 X-1 X -1 X

     = 1

Step-by-step explanation:

The equivalent to the complex number i³² is 1.

What is a complex number?

A complex number is a component of a number system that includes the imaginary unit, represented by the letter i as an extension of the real numbers.

Given:

i³²

As we know that i² = -1

The i³² can be written as,

(i²)¹⁶

Put the value of  i² = -1

(-1)¹⁶

As the power is an even number, so the result will be a positive number,

i³² = (-1)¹⁶ = 1

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Olivia deposit 6952 in a savings account paying 3.72% interest to the nearest dollar how much money does Olivia have in total after 16 years

Answers

Answer:

product

Step-by-step explanation:

you have to find out 1 year how hiw much interest she pay by finding out the amt of 3.72 %

This is question eight.​

Answers

Answer: [tex]no[/tex]

Step-by-step explanation: [tex]3/4=75%[/tex]%

[tex]7/10=70%[/tex]%

[tex]they[/tex] [tex]are[/tex] [tex]different[/tex] [tex]numbers[/tex]

Write and solve a proportion to answer the question.
What percent of 60 is 18?
=
р
100
p

Answers

Answer:

30%

Step-by-step explanation:

18 divided by 60

Can someone help I need to write answer I’m gonna fail .

Answers

Answer:

Step-by-step explanation:

It’s D

Answer: [tex]D.) x>1[/tex]

Step-by-step explanation:

Due to the inequality being an open circle, the > will not have a line under it

and it will point to the right due to the line going to the right

[tex]x>1[/tex]

The length of a table is 8 feet. One a scale drawing, the length is 2 inches. Martin says the scale is 1 inch: 3 feet. Is he correct? (Explain)

Answers

Answer:

1234567891011121314151617181920

7x + 14
Please fasttt

Answers

Answer:

7x + 14

Step-by-step explanation:

Answer:

Step-by-step explanation:

7(x + 2)

The setAconsists of nine positive integers, none of which has a prime divisor larger thansix. Prove thatAis guaranteed to contain two distinct elements whose product is the squareof an integer.Hint:Any positive integer that does not have a prime divisor larger than 6 can be writtenas 2x13x25x3for integersx1, x2, x3

Answers

Answer:

Step-by-step explanation:

What I explain how to solve the equation 3/4 x + 5=11

Answers

Answer:

x = 8

Step-by-step explanation:

3/4x + 5 = 11

3/4x = 6

12/4 = 3x = 24

3x = 24

x = 8

Answer:

x = 8

Step-by-step explanation:

[tex]\frac{3}{4}[/tex] x + 5 = 11

[tex]\frac{3}{4}[/tex] x = 6

x = [tex]\frac{4}{3}[/tex] (6)

x = 8

Four friends share of a gallon of lemonade equally. What fraction of the gallon of lemonade does each friend get?

Answers

Answer:

if theres four friends and they share the whole gallon equally then each friend would get a quart of lemonade

Step-by-step explanation:

Answer:1/4 of the lemonade

Step-by-step explanation: Each person gets 1/4 of the lemonade

solve for the indicated side or angle ​

Answers

Answer: the answer is 141 or 126

Step-by-step explanation:

The beetle ran from 4 to 25. What distance did it cover? If the whole run took the bug 3 seconds, what was its average speed?

Answers

Answer:

I don't know what the unit of measurement is, so I'll say the distance is 21. As for the average speed, its average speed is 8 per second.

Step-by-step explanation:

Distance: 21

Speed: 7

There :3

the river falls vertically compared to how far it flows horizontally. Find the
slope of the river shown to the right. (Hint: The slope of a river is positive.)
46 ft
252 ft


Answers

Answer:

23 / 126

Step-by-step explanation:

46/252 = 23/126

Hi can you help me plz I a, timed well mark brainliest

Answers

Answer:

18 1/16

Step-by-step explanation:

4 1/4 = 4.25

4.25 * 4.25 = 18.0625

18.0625 = 18 1/16

Answer:

c

Step-by-step explanation:

Slope Intercept Form
y=mx+b

How can I explore it? It's for a presentation, please help

Answers

Answer:

I don't understand the question.  

Step-by-step explanation:

I don't know how to explore the slope intercept line equation.  

However, 'b' is the y axis intercept (the point where is crosses the y axis and 'm' is the slope of the line.  The 'm' and the 'b' can be positive or negative numbers.  

A positive 'm' is a line that goes 'up' (the y value increases from the left to right) and a negative 'm' is a line that goes 'down' (the y value decreases from left to right).

Answer:

vjfkkfjjkuuoooo99999

54 x 12+56 = someone help!!

Answers

Answer:

704

Step-by-step explanation:

54 x 12 = 648

648 + 56  = 704

Hope that helps!

Equation: 54 · 12 + 56

Solution: 704

Explanation: Using the Order of Operations (PEMDAS), we know that, in this equation, our first step is to multiply...

1. 54 · 12 = 648

Then, we can add.

2. 648 + 56 = 704

There!!

What fraction is equal to 2 1/2?


25

32

22

52

Answers

The answer would be the 4th option or 5/2

See the photo to answer, worth 25 pts

Answers

C is the correct answer

Answer:

ITS C plz mark me brainliest

Step-by-step explanation:

When data is collected, the most common calculations computed are the Measures of Central Tendency, mean, median and mode. It is important to know how to compute these values and it is also extremely important to know what these values mean in context of the data set. Use the internet to find a data set. Key terms to search: Free Public Data Sets and Medical Data Sets. Introduce your Data Set and Cite the Source. Why was this data interesting to you? Calculate measures of central tendency (Mean, Median & Mode) and measures of variation (Range and Standard Deviation) for your data. Write a sentence for each calculation explaining what that value means in context of your data.

Answers

Answer:

Following are the responses to these questions:

Step-by-step explanation:

In point a:

Please find the graph file in the attachment.

In point b:

This information is interesting for us, because we inform us about an important disease outbreak in such days and how the pandemic impacts major global communities like London as well as how the pattern in the recorded cases is increasing and decreasing.

In point c:

The data are sorted: 551, 1683, 3194, 4053, 4079, 5842, 5868

Mean[tex]= \frac{(551+1683+....+586)}{7} =3610[/tex]

Median proves middle value or class so if ascending data is arranged = 4th term = 4053 

A mode is of max [tex]= 3_{median} -2_{mean} = 4939[/tex]

Range It is also the difference between max and min values which indicates the overall distribution range [tex]= 5868 -551=5317[/tex]

The standard deviation[tex]= 1841.60[/tex]

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