Roland hires a mechanic to do some work. He pays y dollars per hour for a 3-hour job plus $48 in replacement parts. The total cost comes to $200. Please round to the nearest cent.

Create an equation that can be used to find the amount, in dollars, the mechanic charges per hour.

Answers

Answer 1
So, the variable here is y: the amount of dollars per hour of work. We already know how many hours (3), the additional costs (48), and the total cost (200). What we need to do is put this into an equation. So we have number of hours times hourly rate plus additional costs:
3y + 48 = 200

In order to solve for y, this is what you have to do:
3y + 48 = 200 (subtract 48 from both sides)
3y = 152 (divide by 3 on both sides)
y = 50.666666
round to the nearest cent and you’d get a final answer of:
50.67

Related Questions

I NEED HELP what is the slope intercept form of y+6=4/5(x+3)

Answers

Answer:

y=4/5+3 and 3/5

Step-by-step explanation:

Select all the expressions that are equal to 23.27.
2.19 + 17.03 +4.05
15.94 + 7.33
11.08 + 0.89 + 10.3
D
19.75 +4.52
0.76 + 13.31 + 9.2

Answers

Answer:

2.19 +17.03+4.05

15.94+7.33

0.76+13.31+9.2

Step-by-step explanation:

Please I need somone's help with this problem

Answers

Answer:

wich problem i see multiple ?

Example 5: Taro and Jiro climbed a mountain and hiked back down. At the suminit and at every station along the way back down, they recorded their altitude and the amount of time they had been travelling. Hiking Data Time Traveled (in minutes) Altitude (in meters) 0 3776 3600 29 3 Å 126 3020 2700 179 3 231 2390 Construct a linear function to model the relationship between Taro's and Jiro's altitude in terms of the amount of time they traveled.​

Answers

Answer:

i

Step-by-step explanation:

ask your teacher

Answer:

Let the altitude be represented by y and the time taken by x

so y = 3776 - 6x

What is a Linear Function?

A linear function is an algebraic equation with variables with a degree of only 1 and constants and is represented in a straight line form on a graph.

What is Slope?

The slope Of a straight line (which represents a linear function) is the tangent of the angle made by the line with the x-axis. For a straight line passing through (x1,y1) and (x2,y2) the slope is given by

m= (y2-y1)/(x2-x1).

How to write an equation of a Straight line?

y-y1 = m(x-x1) where y represents y co-ordinate and x represents x- co-ordinate and m is the slope of the line which passes through(x1,y1).

Solving the question with the Above concepts

So let time in minutes be represented by 'x'

So let altitude in meters be represented by 'y'

So the (x,y) coordinates according to the given data are (0,3776),(88/3,3600),(126,3020),(538/3,2700) and (231,2390).

So for slope which is m = (3600-3776)/(88/3-0) so slope = -6.

So the linear function is: y-3776 = -6(x-0)

6x+y=3776

So the linear function for the altitude in terms of the time they traveled is 6x+y = 3776

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what are the steps to answer the equation 2 + 1 over 6y = 3x +4

Answers

2+1/6y=3x+4

3/6y=3x+4

3=3x+4×6y

3-4=3x×6y

-1=18xy

-1/18=xy

HOPE ITS RIGHT!! GIVE BRAINLIEST PLS

Answer:

Y would have to equal 1 over 2(3x+4) in order for this equation to even work properly. 2+1 over 6 would actually equal 1/2y which is basically 3/6y. And since 3 and 6 are like terms 3 divided by 3 is 1 and 6y divided by 3 is 2y

Hope this helps

72/16 but. in decimal form

Answers

Answer:

4.5

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

To turn a fraction into a decimal you do is divide the numerator by the denominator. It may not always be a whole number. 72 divided by 16 = 4.5 :)

Examine the following table, which represents some points on a line.

x 3,0,-3,-6,-9
y -3,-2,-1,0,1

What is the equation for the line in slope-intercept form?

Answers

Answer:

y = −3/1 x−2

Step-by-step explanation:

Question 1 (5 points) Find the solution(s) of the quadratic equation X2-25 = 0. x = 25 x= -5.5 x=5 X5​

Answers

Answer:

x = ± 5

Step-by-step explanation:

x² - 25 = 0 ( add 25 to both sides )

x² = 25 ( take the square root of both sides )

x = ± [tex]\sqrt{25}[/tex] = ± 5

solutions are x = - 5 , x = 5

Harry’s Hi-Fi makes a percentage profit of 25% on each television it sells. If they sell their new range for $2500, how much does each television cost them?

Answers

Based on the information given the amount that each elevator cost them is $2,000.

Using this formula

Cost=Sales price/(1+Percentage profit)

Where:

Sales price=$2,500

Percentage profit=25%

Let plug in the formula

Cost=$2,500/(1+.25)

Cost=$2,500/1.25

Cost=$2,000

Inconclusion the amount that each elevator cost them is $2,000.

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Please i need this like rn!
A friend gave Ms. Morris a gift card for a local car wash. The table shows the linear relationship of how the value left on the card relates to the number of car washes.


Number of car washes, x 0 8 12
Amount left on card ($), y 70 50 40


Part 1 out of 3
Enter an equation that shows the number of dollars left on the card.

The equation that represents this situation is y =

Answers

Answer:

Step-by-step explanation:

The table is:

Number of washes denoted by x: 0, 8, 12

Amount left on card denoted by y: 30, 18, 12

 

a.       Write an equation that shows the amount of dollars left on the card

Solution:

18 – 30 divided by 8 – 0 = -12/8

On simplest form is -3/2

 

The equation is y = -3/2x + 30

 

b.      Explain the meaning of the negative slope above.

As the number of car washes increase, the dollars left on the card decreases.

 

c.       What is the maximum value of x?

0 = -3/2x + 30

2/3 x 3/2 x = 30/1 x 2/3

Cancel 2/3 x 3/2 and reduce 30 by 3 we get 10, 10 x 2

x = 20

i have once,tenths, and hundredths digit. th sum of my digit is 10. my once digit is twice as my hundredthsdigit. my tenths digit is 2 more than my hundredths digit. round the decimal i have to the nearest tenths

Answers

Answer:

Step-by-step explanation:

let hundreth digit=x

tenths digit=x+2

ones digit=2x

x+x+2+2x=10

4x=10-2=8

x=8/4=2

tenth digit=2+2=4

ones digit=2×2=4

so number =4.42

so number =4.4

Please this is my third time asking this question please answer it

I really need it now

Answers

1,3,5,7 = 126°

2,4,6,8 = 54°

Here your go m'dear

Given, ∠3 = 126°.

∠3 =∠1 = 126° (vertically opp. angles)

∠3 =∠5 = 126° (alternate interior angles)

∠3 =∠7 = 126° (corresponding angles)

Now, ∠2 = 180° - 126° = 54° (linear pair/supplementary angles)

∠2 = ∠4 = 54° (vertically opp. angles)

∠2 = ∠8 = 54° (alternate interior angles)

∠8 = ∠6 = 54° (vertically opp. angles)

_________

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

Determine whether each expression is equivalent to 64^5t^2 + 3t

Answers

Answer:

ALL of the following expressions are NOT equivalent to 64^5t^2+3t

Step-By-Step Explanation:

Khan Academy

To determine whether each expression is equivalent to [tex]64^5t^2 + 3t[/tex], we will simplify each expression by evaluating the calculations.

Expression 1:   [tex]64^5t^2 + 3t[/tex]

Expression 2:  [tex](4^3)^5t^2 + 3t = 4^(3*5)t^2 + 3t = 4^15t^2 + 3t[/tex]  

Expression  3:  [tex](8^2)^5t^2 + 3t = 8^(2*5)t^2 + 3t = 8^10t^2 + 3t[/tex]  

Expression 4:   [tex](2^6)^5t^2 + 3t = 2^(6*5)t^2 + 3t = 2^30t^2 + 3t[/tex]  

Expression 5:   [tex](8^8)^3t^2 + 3t = 8^(8*3)t^2 + 3t = 8^24t^2 + 3t[/tex]  

Expression 6:   [tex]64^5t^2 + t + 2t = 64^5t^2 + 3t[/tex]

After evaluating each expression, we can see that all the expressions are equivalent to [tex]64^5t^2 + 3t[/tex]. The calculations show that regardless of the specific values used, the expressions simplify to the same result. Therefore, it can be concluded that all six expressions are equivalent to [tex]64^5t^2 + 3t.[/tex]

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Select from the drop-down menus to correctly complete the statement. The expressions 2.72−2 and 10.6÷2−0.1 ​ should be joined by Choose... to form an Choose... .

Answers

Answer:  #1 is " a not equals sign. " #2 is " inequality ".

Step-by-step explanation: i took the quiz and got it wrong but looked at my answers so here ya go.

Answer:

1# not an equals sign 2# inequality

Step-by-step explanation:

I am very much confused..

Answers

Answer:

See below:

Step-by-step explanation:

(Apologies for the other answer, the moderation team is looking at it.)

So, we can solve this problem by taking 2 steps, Solving and Unit Value.

We'll start off with finding the unit value for 1 cm and how many Newtons we get per one cm.

We can solve for that by dividing both sides by 20 to find the Unit Value.

[tex]\frac{20}{20}=1\\\frac{28}{20}=1.4\\[/tex]

Upon solving, we know that 1.4 is for one unit price. We can then figure out the other blanks by solving it, which we will be doing next.

Solving

To find the first value, we know that the ratio for [tex]I:O[/tex] with I being Input and O being output is 1.4. We know that because in the unit section, we figured the rate out.

We can now use that to find the Newtons, to do that, we must multiply 55 by 1.4.

[tex]55*1.4=77[/tex]

We have found out our first blank which is 77.

We can solve for 140 by dividing it by 1.4 because to get 1 Newton we divide by 1.4 on this table and to get the opposite we have to do the opposite of multiplying; dividing.

We divide 140 by 1.4 and we get 10.

[tex]\frac{140}{1.4}[/tex] = 100

To solve for one, we did that in the beginning, and that would be 1.4

Cheers!

Uno de estos globos se encontraba a 250 metros de altura cuando se
desactivó su mecanismo (
re caliente
A partir de ese momento, el globo comenzó a descender 4 metros de
altura (-4 m) por cada segundo.
¿Cuál de las siguientes expresiones corresponde a la altura, en metros,
a la que se encontrará el globo tras 40 segundos de descenso?Uno de estos globos se encontraba a 250 metros de altura cuando se
desactivó su mecanism
aire caliente.
A partir de ese momento, el globo comenzó a descender 4 metros de
altura (-4 m) por cada segundo.
¿Cuál de las siguientes expresiones corresponde a la altura, en metros,
a la que se encontrará el globo tras 40 segundos de descenso?

Answers

Answer:

La contestacion debe ser la C, ya que estas buscando el total de altura que ha descendido en 40 segundos.

A restaurant needs to plan seating for a party
of 150 people. Large tables seat 10 people
and small tables seat 6. Let x represent the
number of large tables and y represent the
number of small tables. An expression like
the total number of people you can seat using
A large tables and B small tables is called a
linear combination. For instance, 150 people
could be seated using 12 large tables and
5 small tables. Use that expression to write an
equation in standard form that models all the
different combinations of tables the restaurant could use. Then identify at least one possible combination of
tables other than (12,5).
** WRITE AN EQUATION IN STANDARD FORM TO MODEL THE LINEAR SITUATION **

Answers

Answer:joe

Step-by-step explanation:

joe mama

6. Find the perimeter (distance around) each of the foundations in Figure1 and 2.
a. Foundation A perimeter=_________feet
b. Foundation B perimeter=_________feet

Answers

Answer:

(a) P = 32.5 feet

(b) P = 108-2x feet

Step-by-step explanation:

Note: Perimeter is the total distance around the border of a shape.

(a)

P = 14' + 27'' + 14' +27'' ; First we have to covert the 27'' (27 inches to feet)

[tex]27*\frac{1}{12} = \frac{27}{12} =\frac{9}{4}[/tex] = 2.25feet

P = 14'+2.25'+14'+2.25'

P = 32.5' = 32.5 feet

(b)

P = 15'+29'+(15'-x')+3'+7'+3'+(7'-x')+29' ; where x is the overlapping distance of the 2 rectangles of Foundation B.

P = 108' -2x'

P = 108-2x feet

Note: there is not enough information to determine the vaule of x from the problem.

what is the solution set to 2|x+5|-3=1

Answers

Answer:

x = -7 or -3

Step-by-step explanation:

solve the system of equations.
y=x^2-4
y=5
A (3,5)
B (3,0)
C (3,5) and (-3,5)
D (3,0) and (-3,0)​

Answers

Answer:

A

Step-by-step explanation:

replace y with 5 giving you 5 = x^2 - 4 then solve giving you x^2 = 9 and then square the 9 giving you x = 3

An item has a listed price of $80 of sales tax rate is 9% how much is the sales tax in dollars

Answers

Answer:

80 x 0.09 = 7.2

Step-by-step explanation:

Answer:

7.2

Step-by-step explanation:

80 * 9% = 80 * 0.09 = $7.2

Please help me with this math problem!! :)

Answers

Answer:

x= 4

(not sure about a, sorry friend)

Step-by-step explanation:

Since the shape is congruent with the other sides it's the same.

Do the functions have the same concavity?

Answers

Answer: A function is concave up (or upwards) where the derivative is increasing. This is equivalent to the derivative of, which is, being positive. Similarly, is concave down (or downwards) where the derivative is decreasing (or equivalently, is negative).

Step-by-step explanation: if you can give me brainly please hope this helps

Help will give brainliest

Answers

Answer:

line 3

Step-by-step explanation:

It is very close to each if the points with no outliers.

Do number 4 and 5 please I don’t know how to do this. If your don’t know the formula for Pythagorean Theorem search it up so you can use it to find the missing value for number 4.

Answers

Answers:

Question 4

Since line KL shows the amount of unwanted material from line NM, subtract the two and divide the result by 2 for the bottom measurement to each triangle

36 - 20 = 16

16/2 = 8

So now since we know our a and our c, we can implement the Pythagorean theorem of a^2 + b^2 = c^2 to find b, or the height of the triangle

8^2 + b^2 = 17^2

64 + b^2 = 289

b^2 = 225

b = 15

Therefore x = 15ft

Question 5

An outline for the word problem can look like this:

                      / | \

                   /    |    \

                /       |       \

             /          |          \   450m

          /             |             \

       /    360m  |                \

    /                   |                   \

 /__________|__________\

                                  x

So to start we already know 2 of the 3 angles for the Pythagorean theorem so now we plug them in

360^2 + a^2 = 450^2

129600 + a^2 = 202500

a^2 = 72900

a = 270

So this means that the wires need to be grounded 270m away from the pole


What is the equation of the line?

Answers

Answer:

y=-7

Step-by-step explanation:

This is an expression, not an equation.  y is -7 for any value of x, so f drops out of the equation and it beomes an expression.

Solve the following inequality then plot the answers on the number line 2x-1>3

Also where do I plot the answer

Answers

Hi,

2x - 1 > 3

2x -1 + 1 > 3 + 1

2x > 4

2x / 2 > 4 / 2

x > 2

You have to highlight all the part after 2, and the number 2 should NOT be included, only the part of the line after 2 should be highlighted (until 11 )

HELP PLEASE IM BEING TIMED:

what happens to the decimal when you multiply a whole number by 100

Answers

Answer:

it moves to the right 2 places (units)

Step-by-step explanation:

ex

500.*100

50000.

A certain stock gained 5 points in one day and lost 4 points the next day. Which situation has thegreater absolute value? Explain.

Answers

Answer:

the first day has the greater absolute value

Step-by-step explanation:

if this helps can i get brainliest please

Calculate the density of a metal cube which has 3 cm sides, given that its mass is 428 grams. Convert your answer into kg/m3. Will this cube float on the surface of a liquid of density 1.7 g/cm3? Explain why or why not.

Answers

Answer:

Step-by-step explanation:

Volume of the cube is 27 cm^3

Since [tex]density = \dfrac{Mass}{Volume}[/tex]

density  = [tex]\dfrac{428 g}{27 cm^3} = 15.85 g/cm^3 > 1.7g/cm^3[/tex]

this will not float on the surface of the liquid.

Convert into kg/m^3

[tex]15.85 g/cm^3 = 15850 kg/m^3[/tex]

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