A yard cleanup service charges a $345 fee plus $16.25 per hour. Another cleanup service charges a $213 fee plus $24.50 per hour. How long is a job for which the two companies' costs are the same?

Answers

Answer 1

The time for the job for which the two company are the same is 16

How to form the equation and find the cost?

A yard cleanup service charges a $345 fee plus $16.25 per hour. Therefore,

using linear equation,

y = mx + c

where

y = total costx = time

Therefore,

y = 345 + 16.25x

Another cleanup service charges a $213 fee plus $24.50 per hour. Therefore,

y = 213 + 24.50x

Hence, the time when both cost are the same is as follows;

213 + 24.50x =  345 + 16.25x

213 - 345 = 16.25x - 24.50x

-132 = -8.25x

x = 132 / 8.25

x = 16

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Related Questions


If a coin is tossed, a die is rolled, and a candy is taken from
of 14 candies, 7 of which are red, what
8 the probability of getting a red candy, a heads, and an odd number on the die?

Answers

Answer:

Step-by-step explanation:

There are two sides of a coin which means that the profanity of getting one side of the coin is ½.

There are 14 candies in total of which 7 are red, meaning that the probability of getting a red candy is 7/14, which is the same as ½.

There are 6 sides to a die, of which 3 sides contain the odd numbers 1,3 and 5. This would mean that the probability of getting an odd number on the die is 3/6, which is the same as ½.

Now to work out the probability of getting a red candy, a heads and an odd number on the die, you have to times the probability of each together to get you final answer.

So it will be, ½×½×½=⅛

What range of weights measured on an analytical balance with a precision of 0.2mg,will round to 2.0g.What is te relative percent precision of these weights

Answers

The range of weights measured on an analytical balance with a precision of 0.2mg,will round to 2.0g is 0.1900 g to 0.2100 g.

What is analytical balance?

The analytical balance is the device which is used to measure the mass or weight of the object with high level of precision.

Even using the analytical balance equipment, you do not get the accurate weight. For the measurement of the 0.2 g the precision level is ±0.1 mg.

For the positive number, the value will be 0.2100 gFor the negative number, the value will be 0.1900 g.

The range of weights measured on an analytical balance with a precision of 0.2mg,will round to 2.0g is 0.1900 g to 0.2100 g.

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i just need to know how to do it im just to lazy to look it up

Answers

Answer:

x = 3

s = 11

z = 14

y = 2

Let me know if you need an explanation for this, I would be happy to help :)

Answer:

1. x = 3

2. s = 11

3. z = 14

4. y = 2

Step-by-step explanation:

1. x + 9 = 12

12 - 9 = x

⇒ x = 3

2. s - 1 = 10

10 + 1 = s

⇒ s = 11

3. 3 = z - 11

z - 11 = 3

11 + 3 = z

⇒ z = 14

4. 5 + y = 7

7 - 5 = y

⇒ y = 2

What is the best approximation for the perimeter of a semicircle with a diameter of 35 inches?

Use 3.14 to approximate pi.

Answers

Answer:

Circumference shares the same concept with perimeter.

First, let's use the formula for the circumference of a full circle.

C = 2πr

Where 'π' stands for pi(22/7 or 3.14) and 'r' stands for the radius.

or

C = πd

Where 'π' represents pi(22/7 or 3.14) and 'd' stands for the diameter.

But, we are trying to find a semi-circle's circumference. So, what you would do is that you would divide the whole product of the formula by 2.

For this, I'll be using this formula C = πd. Though, since we are dividing by 2 we can apply that to the diameter and make it a radius in our formula.

So the 'd' in the formula will be 'r'.

Now, let's find the radius.

D/2 = R

So,

35/2 = 17.5

Use this in our formula:-

C = πr

C = 3.14(17.5)

C = 54.95 inches.

To the nearest hundredth, what is the value of X?
Please help

Answers

Step-by-step explanation:

cos50 = x/53

0.64 = x/53

x = 0.64×53

= 33.92

Simplify Each Radical Expression. Leave in radical form. (Do not use decimals.)


3√(8) – 3√(16)

Answers

[tex]3\sqrt 8 - 3\sqrt{16}\\\\=3\sqrt{4 \times 2} -3 \sqrt{4^2}\\\\=3\cdot 2 \sqrt 2 - 3\cdot 4\\\\=6\sqrt 2 - 12\\\\=6\left(\sqrt 2-2 \right)[/tex]

Monica is a professional musician who practices clarinet for the same amount of
time every day. After she practices clarinet for 45 min on Wednesday, she has
finished 18% of her daily clarinet practice. How many more minutes does Monica
practice clarinet on Wednesday? Show your work.

Answers

Answer:

205 minutes

Step-by-step explanation:

If Monica has already practiced 18% of her time, we know that she has practiced [tex]\frac{18}{100}[/tex]. If this 18% corresponds to 45 min, we can have the following equation: [tex]\frac{18}{100} = \frac{45}{x}[/tex]. We can rearrange the equation to find the value of x by doing [tex]x = \frac{45 \cdot 100}{18} = 250[/tex], so she practices 250 min every Wednesday. If we subtract the time she has already practiced (45 min) we find out she still has to practice more 205 min.

What is the slope of the line that contains these points?
xxx 555 666 777 888
yyy -5−5minus, 5 -6−6minus, 6 -7−7minus, 7 -8−8minus, 8

Answers

Answer:i tink its D) - 4/3

Step-by-step explanation:

im bad at mat, so im sorry if im wron

Answer:a

Step-by-step explanation:

a

Identify the vertex of the function, F(x) =3(x-1)2 + 5.

Answers

Answer:

f

(

x

)

=

3

(

x

1

)

2

+

5

Use the vertex form,

y

=

a

(

x

h

)

2

+

k

, to determine the values of

a

,

h

, and

k

.

a

=

3

h

=

1

k

=

5

Find the vertex

(

h

,

k

)

.

(

1

,

5

)

image of graph

Carla spent $2. 70 to make prints of 9 photos. Mrs. Wilson spent $22. 50 to make prints of photos at the same price per print. How many prints did Mrs. Wilson make

Answers

Answer:

75

Step-by-step explanation:

9 divided by 2.70 = 3.33333333333

22.50 times 3.33333333333 = 75

hope that this helped :)

Answer:

75 prints

Step-by-step explanation:

22.5/0.3 because 2.70/9 is 0.3 then 22.5/0.3 then you'll get the answer

Rewrite the expression 2(3 - 4k) as a difference. Show your work.

Answers

Answer:

Step-by-step explanation:

Use Distributive Property: a*(b  -c) = a*b - a*c

2(3 -4k) = 2*3 - 2*4k

             = 6 - 8k

What set of numbers are shaded on the
hundred chart?
A only the factors of ten
B only the multiples of 10
C only the factors of 20
D only the multiples of 20

Answers

Answer:

D - 20, 40, 60, 80, 100 are all multiples of 20

Step-by-step explanation:

Factors of 10 - 10, 5, 2, 1

Multiples of 10 - D and 10, 30, 50, 70, 90

Factors of 20 - 20, 10, 5, 4, 2, 1

:)

Help plssss:) I need a complete answer

Answers

[tex]\bold{ANSWER:}[/tex]

(2 , 1)

[tex]\bold{EXPLANATIONS:}[/tex]

Answer:

b is the correct answer

have a good day and I hope this helps :D

if you need more detailed answer just tell me

Which of these inequalities is true?
A. 3V3 < V32 < 412
B. 412 < V32 < 3V3
C. 3V5< 154 < 5V3
D. 513 < V54 < 3V5

Answers

C i’m pretty sure i just took the thing

There are 180 days in a school year. If your
teacher says you have completed 65% of the
school year, how many days do you have left
of school?

Answers

Answer:

you need to multiple or add if you multiple your answer is 1080 and if you add your answer is 240 am I correct see for yourself

Which number has an absolute value
greater than |-3|? Select all that apply.
b.|-5|
c. |9|
d. |1|
e. |7|
f. l-1|

Answers

Answer:

answers are b,c and e.

have a nice day

Answer:

b, c, and e

Step-by-step explanation:

Which equation is true when the value of X is -12?

A. 1/2x +22= 20

b 15 - (1/2)x=21

c 11- 2x= 17

d 3x- 19= -17​

Answers

Answer: B is right

Step-by-step explanation: Check the file for steps

HELP!!!!!
what is the measure, in degrees, of angle b?

Answers

Answer:

x=20⁰

Step-by-step explanation:

Since they are vertically opposite angles

x+20⁰=40⁰

---------

| x=20⁰ |

--------

i cant work this one out, help please

Answers

Answer:

a = 8 2/3.

Step-by-step explanation:

The y coordinate of the point is 5, andthe x coordinate is a so substituting for these in the given equation:

3a - 4(5) = 6

3a  - 20 = 6

3a = 26

a = 26/3

= 8 2/3

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

here , we've been given a point with coordinates ( a , 5 ) and an equation ( 3x - 4y = 6 ).

To determine - the value of a

Coordinate geometry deals with parameters related to points over cartesian plane , where a points , say G , has two coordinates x and y.

the coordinates are written as ( x , y ) , where x is the x coordinate or abcissa and y is the y coordinate or ordinate.

for getting the solution to the question asked , let us think of x as a and y as 5.

Now ,

substituting the values of x and y in the equation ,

[tex]3x - 4y = 6 \\ \implies \: 3(a) - 4(5) = 6 \\ \implies \: 3a - 2 = 6 \\ \implies \: 3a = 6 + 20 \\ \implies \: 3a = 26 \\ \implies \: a = \frac{26}{3} [/tex]

let's once check , if we've arrived at the correct result or no.

This can be done , by putting value of x as [tex]\frac{26}{3}\\[/tex] which is the value of a.

So ,

[tex]3x - 4y = 6 \\ \\ \implies \: \cancel3 (\frac{26}{\cancel3} ) - 4(5) = 6\\ \\ \implies26 - 20 = 6 \\ \\ \implies \: 6 = 6[/tex]

hence , verified !

Therefore ,

[tex]\bold\red{a = \frac{26}{3} }\\ [/tex]

hope helpful :D

The letters in the word MATHEMATICIAN were put in a box. What is the chance of getting letter A?​

Answers

Answer:

3/13

Step-by-step explanation:

There are a total of 13 letters in the word and 3 of them are A’s so 3/13 is the probability of getting an A.

The probability of getting the letter A is given by P ( A ) = 3/13

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

Let the probability of getting the letter A be P ( A )

Now , the word is given as S = { "MATHEMATICIAN " }

The number of letters in the word S = 13 letters

The number of letter A in the word = 3 A's

So , probability of getting the letter A , P ( A ) = number of letter A in the word / number of letters in the word S

On simplifying , we get

The probability of getting the letter A , P ( A ) = 3/13

Hence , the probability is 3/13

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WHOEVER RESPONDS FIRST WILL BE MARKED BEST
A cube numbered from 1 through 6 is rolled 200 times. The number 3 lands face-up on the cube 80 times. What is the experimental probability of 3
landing face-up on the cube?

Answers

Answer:

.4

Step-by-step explanation:

Ex prob is the rsults you obtained in your exp

80/200 = .4

20 POINTS!!! ILL MARK BRAINLIEST! The hypotenuse of the triangle is 32, what is the radius of Circle B? Is the radius the same all around? If, both circles have the same ratio of equal radii all around, does that make them similar, what do we think about the similarity of all circles?
circle A is 1st image
circle b is 2nd image with question on it

Answers

Answer:

the radius is 4, it is the same all around, they are similar, all circles are similar

Step-by-step explanation:

you can use Pythagoras's theorem to find the radius. √33 ^2 = 32. the other lengths must be equal because they are radii. therefore they are √16 which is 4.

Is (4, 5) a solution to this system of inequalities?
y < 10x + 7
y x+1
yes
no

Answers

Answer:

Yes

Step-by-step explanation:

The sum of two rational numbers will always be:

A.) rational
B.) irrational
C.) an integer

Answers

Answer:

c

Step-by-step explanation:



What is the missing numerator? 2/7=n/21

Answers

Answer:

6

Step-by-step explanation:

7n = 2 × 21

n = 2 × 3

n = 6

the missing number is 6, you multiply 2 by 3 since 7 was multiplied by 3

In your own words, describe the axes of the coordinate plane.

Answers

Answer:

The x-axis is always the the horizontal axis which represents the independent variable

The y-axis is always the vertical axis which represents the dependent variable

Hope this helps!

Answer:

I am only answering this so you can give the other girl brainliest.

Step-by-step explanation:

HELP ME PLEASE!!!!!!!!

Answers

Answer:

I think th answer is either 1753 or 17

17 is the answer i think

The graph of a function is a transformation of the graph of its parent function in which the graph is

vertically stretched by a factor of 2;
shifted left 3 units; and
shifted up 2 units.
write an equation for the function.

Answers

Answer:

f(x) = 2(x+3)+2

Step-by-step explanation:

x is an acute angle. Find the value of x in degrees. sin (x)= 0.8​

Answers

[tex]\bold{ANSWER:}[/tex]

60 Degrees

[tex]\bold{EXPLANATIONS:}[/tex]

What is the call out fee

Answers

Answer:

A set amount charged for a repairman to come to one's house, or to a broken-down vehicle, which is added to the cost of the actual repair.

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