Hudson is having his car repaired. The mechanic said it would cost at least $425 for parts
and labor. The cost of the parts was $200 and the mechanic charges $75 per hour for
labor. Write and solve an inequality to find how many hours the mechanic plans to work on
the car. Interpret the solution.

Answers

Answer 1

Answer:

The correct answer is - 3 hours.

Step-by-step explanation:

Given:

Price of parts: $200

Price of labor: $75/hour

Total cost: $425

Solution:

Let x = x of hours work done on the car

The inequality can be represented as:

425 = 75x + 200

Solving this inequality, we find that

225 =75x

or

x = 3

Thus, It means that the mechanic will take at least 3 hrs to work on his car.


Related Questions

price of a
the
of a microwave
Loven was marked down
from $187.50 to $150.00.
what
was the percent
decrease in price.

Answers

Answer:

20%

Step-by-step explanation:

$187.50 - 20% = $150.00

HELP ME THANKS +×+

Applying the Pythagorean theorem, Find the measure of the hypotenuse of a right triangle with legs of 11 inches and 60 inches.​

Answers

Answer:

[tex]hypotenuse = \sqrt{ {height}^{2} + {adjacent}^{2} } \\ = \sqrt{ {11}^{2} + {60}^{2} } \\ = \sqrt{3721} \\ = 61 \: inches[/tex]

hypotenuse=

height

2

+adjacent

2

=

11

2

+60

2

=

3721

=61inches

Expand.
Your answer should be a polynomial in standard form
−5q 2 (−q−5)

Answers

Answer:

(i think)

5q3+25q2

Step-by-step explanation:

To write a polynomial in standard form, simplify and then arrange the terms in descending order.a

x2+bx+c

5⋅1(q2q)+25q2

Simplify each term

answer- 5q3+25q2

What is every way to write a ratio?​

Answers

Answer:

Step-by-step explanation:

AN Example of every way to write a ratio is:

3 to 63:63/6  

which one you choose will depends on the problem or situation

Kane rolls a dice and flips a coin at the same time. What is the probability he rolls a 2 or lower and the coin lands on heads?

Answers

Answer:

The probability he rolls a 2 or lower and the coin lands on heads is 16.66%.

Step-by-step explanation:

Since Kane rolls a dice and flips a coin at the same time, to determine what is the probability he rolls a 2 or lower and the coin lands on heads the following calculation must be performed:

Given = 6 sides = 2/6

Coin = 2 sides = 1/2

2/6 x 1/2 = X

0.333 x 0.5 = X

0.1666 = X

0.1666 x 100 = 16.66

Therefore, the probability he rolls a 2 or lower and the coin lands on heads is 16.66%.

I have min left pls pls pls pls help me with this i beg you PLLSSSSS


What is the probability that you draw a day of the week that starts with the letter 'S' and choose a month that starts with the same letter?

Answers

Answer:

its 2/7 for the day and 1/12 for the month

Step-by-step explanation:

the probability of picking both of them is 2%

A rope has a density and thickness such that a 3.25-centimeter-long segment of it weighs 61.40 grams. There are 28.3495 grams in an ounce and 2.54 centimeters in an inch. How many ounces would a 19.45 inch length of the same rope weigh

Answers

Answer: [tex]32.909\ \text{ounce}[/tex]

Step-by-step explanation:

Given

3.25 cm long segment of rope weighs [tex]61.40\ gm[/tex]

Using unitary method

1 cm of a segment measures

[tex]\dfrac{61.40}{3.25}=18.892\ gm[/tex]

[tex]1\ cm\equiv 18.892\ gm[/tex]

converting cm to inch and gm to ounce

[tex]\dfrac{1}{2.54}\ in.\equiv \dfrac{18.892}{28.3495}\ \text{ounce}\\\\1\ in.\equiv \dfrac{18.892}{28.3495}\times 2.54\ \text{ounce}\\\\1\ in.\equiv 1.692\ \text{ounce}[/tex]

for 19.45 in., weight is

[tex]\Rightarrow 19.45\ in.\equiv 1.692\times 19.45\\\\\Rightarrow 19.45\ in\equiv 32.909\ \text{ounce}[/tex]

Answer:

✅ C. 32.92 oz

i got it right⬇

Liz earns a salary of $2,100 per month, plus a commission of 3% of her sales. She wants to earn at least $2,900 this month. Enter an inequality to find amounts of sales that will meet her goal. Identify what your variable represents. Enter the commission rate as a decimal

Answers

Answer:

x≥26667

Step-by-step explanation:

let x= her sales

so the money she gets from her sales is .03x

if we wants at least 2900 we can write

2100+.03x≥2900

Solve for x

.03x≥800

x≥26666.6667

round up (because you can make a fraction of a sale) to get

x≥26667

Janae has a soap bottle that has $474$ mL of liquid soap. Each push of the pump uses $8$ mL of soap. There needs to be at least $50$ mL of soap in the bottle for the pump to work.

Answers

Answer:

53 pushes

Step-by-step explanation:

Total Volume of soap = 474 mL

Volume per push = 8mL

Mimimum volume required = 50mL

The equation which represents the number of push, x that can be made :

Total volume = minimum volume + (volume per push * number of pushes)

Total volume = 50 + (8 * x)

474 ≤ 50 + 8x

474 - 50 ≤ 8x

424 ≤ 8x

53 ≤ x

The number of pushes that can be made = 53

Linda invested $12,500 in an
account that earns 4.5% interest,
compounded monthly. What is
the value of the account after
4 years? Round your answer to
the nearest cent.

Answers

Answer:

12500

Step-by-step explanation:

4.5 × 48=216.

12500 Plus 216= 12,716

The value of the invested money becomes $103393.20 after 4 years if the interest rate is 4.5% and compounded annually.

What is compound interest?

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+r)^t[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          t = How long the money is deposited or borrowed (in years)

We have in the question:

p = $12,500

r = 4.5% ⇒ 0.045

t = 4 years ⇒ 4×12 ⇒ 48 months

Put the above values in the formula, we get;

[tex]\rm A = 12500(1+0.045)^4^8[/tex]

A = 12500×8.27145

A = $103393.20

Thus, the value of the invested money becomes $103393.20 after 4 years if the interest rate is 4.5% and compounded annually.

         

Learn more about the compound interest here:

brainly.com/question/26457073

Find the slant height l of the cone given the surface area S.

S=126π cm²



The slant height is
centimeters.

Answers

9514 1404 393

Answer:

  15 cm

Step-by-step explanation:

The formula for the surface area of the cone is ...

  A = πr² +πrL =  πr(r +L)

The radius of this cone is half its diameter so is (12 cm)/2 = 6 cm. Then the slant height L can be found from ...

  126π cm² = π(6 cm)(6 cm +L)

  21 cm = 6 cm +L . . . . . . . . . . . . . . divide by 6π cm

  15 cm = L . . . . . . . . . . . . . . . . subtract 6 cm

The slant height is 15 centimeters.

what is the value of x if x =3^2​

Answers

Answer:

9

Step-by-step explanation:

Raise 3 to the power of 2.

A movie theater designs two bags to hold 250 cubic inches of popcorn each.
Find the height of each bag.


Pleaseee helpp

Answers

Answer:

5 inches

Step-by-step explanation:

Well two bags hold 250 cubic inches, which means one bag will hold 125 cubic inches.

Then you cube route 125 because its cubic inches.

[tex]\sqrt[3]{125}[/tex] = 5

So I would think its five inches but I may be wrong <3

Which one of the following statements is FALSE?
A)The mode is the number (or numbers) that occurs most frequently in the set.
B)The median is the middle of a set of numbers arranged in numerical order.
C)The mean is the average of all the data values.
D)Standard deviation is the difference between the largest and smallest value in the set.

Answers

Answer:

D

Step-by-step explanation:

Measures of central tendency assist in the discovery of a data set's middle, or average. The statement that is incorrect out of the given statements is option D.

What is the measure of central tendency?

Measures of central tendency assist in the discovery of a data set's middle, or average. The mode, median, and mean are the three most popular metrics of central tendency.

Mode: It is the most common value in a given data set.Median: In an ordered data set, the median is the number in the middle.Mean: It is the total number of values divided by the sum of all values.

The range is the difference between the largest and smallest value in the set. Therefore, The statement that is incorrect out of the given statements is option D. Standard deviation is the difference between the largest and smallest value in the set.

Learn more about the Central Tendency:

https://brainly.com/question/17330554

#SPJ2

Given the triangle below find the measure of ZF and ZD.
D
20
E
F
17
ZF-
ZD=

Answers

Answer: angle f is 31.788 and angle d is 58.212

Step-by-step explanation:I need one more brainliest for next rank I’d appreciate it

Which is the solution of the system of equations shown in the graph?

Answers

It’s (5,-7) because on the x axis it’s 5 and on the y axis it’s-7

Answer:

(5, -7).

Step-by-step explanation:

Solution is the point of intersection.

(5, -7).

HELP ME PLZ PLZ PLZ PLZ I WILL LOVE U FOREVER PLZ HELP ME

Answers

Answer:

0.5 or 1/2

Step-by-step explanation:

each number is half of the bigger triangle. so the answer should be half or 0.5.

EX: 48 x 0.5 = 24

Jina has scored 79, 85, 89 and 68 on her previous four tests. What score does she need on her next test so that her mean is 80?

Answers

Answer:

79

Step-by-step explanation:

79, 85, 89, 68 have a mean of 80.25 according to calculator.net. the number itself Is close to the number you want, in this case 80, i input 80, but it gave me a score of 80.2, so i tried again with 81, it gave me a score of 80.4, so the third attempt was successful with 79 being the input and 80 the output

calculator.net is approved on my school computer so there is a chance it is on yours as well.

What is the mean of this set of numbers?

12, 33, 19, 26, 24, 30

Answers

24 bc if u add all them up and divide by 6 cus it’s 6 #s you’ll get 24

help now pls i need a lot of help pls help meh

Answers

Answer:

28+36+y= 180

The value of y is 116

Step-by-step explanation:

Can someone please help me?

Answers

Answer:

Hello! answer: 21.4

Hope that helps!

Dilate the figure by the scale factor. Then enter
the new coordinates.
K= 7
A(-3,2)
(4.2)B
C(-1,-1)
A' ([?], [])
B' ([], []).
C'([], []).

Answers

Answers:

A ' ( -21, 14 )B ' ( 28, 14 )C ' ( -7, -7 )

=========================================

Explanation:

The scale factor is k = 7. This tells us to multiply each coordinate, of each point, by the scale factor to get the dilated points.

For example, point A is at (-3, 2) and moves to A ' (-21, 14) after multiplying the x,y coordinates by 7. The same applies for points B and C as well.

The dilation rule can be written as [tex](x,y) \to (7x, 7y)[/tex]

As a result of the dilation, triangle A'B'C' has sides that are 7 times longer compared to the corresponding sides of triangle ABC.

Example: side AB = 7 units, side A'B' = 49 units

what is the answer to x^{2}-2x=15

Answers

Answer:

Two solutions:

x = 5 and x = -3

Step-by-step explanation:

Simplify:

x^{2} - 2x = 15

-15              -15

x^{2} - 2x -15 = 0

Find what numbers multiplied by eachother equal -15 and also add to -2:

-5 * 3 = -15

-5 + 3 = -2

Rewrite equation and put each expression equal to 0:

(x - 5)(x + 3) = 0

x - 5 = 0      x + 3 = 0

  +5    +5         -3     -3

x = 5            x = -3

PLEASE HELP SOOOOOON!!

What is the surface area of this square pyramid represented by this net?

NOOOO LINKS!!!!!! IF YOU PUT A LINK AS AN ANSWER, YOU WILL BE REPORTED AND BLOCKED INSTANTLY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

144

Step-by-step explanation:

((9*6/2)*4)+(6*6)=144

4 divided by 1/3=___

Answers

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

please help!! 20 points. if you guess or just comment something to take points i will have you reported and make sure your account gets banned, thanks! i want a explanation pls

Answers

Answer:

x=5

Step-by-step explanation:

to find volume: length x width x height

the first rectangular prism volume: 15*5*5= 375 in³

because they have the same volume, you would set the other rectangular prism equal to 375: 25*3*x=375

75*x=375

divide both sides by 75: x=5

1) Is it a function?
Please help

Answers

yes it’s a function

Answer:

Yes it is a function

Hope its help you

Help please I don’t understand

Answers

Answer: 2/3

Step-by-step explanation:

there are 24 pets total (count all of the dots on the plot)

16 students have 2 or more pets (count the dots from point 2 until 6)

your fraction is 16/24

16/24 is 2/3 simplified

hope this helps

What is the area of the shaded sector

Answers

Answer:

Area = 634.21 square metre

Step-by-step explanation:

Area of shaded region = Area of the circle - Area of the sector

[tex]Area \ of \ the \ circle = \pi r^2 = 225 \pi\\\\Area \ of \ the \ sector = \pi r^2 \frac{ \theta}{360} = \pi \times 225 \times \frac{37}{360}[/tex]

[tex]Area \ of \ shaded \ region = 225 \pi - (225 \pi \times \frac{37}{360})[/tex]

                                   [tex]= 225 \pi (1 - \frac{37}{360})\\\\= 225 \pi \times 0.89722\\\\=634.21 m^2[/tex]

634.21 if I’m correct let me know if it works!

A number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and 1. How many solutions are possible for this situation? Infinitely many solutions exist because the two situations describe the same line. Exactly one solution exists because the situation describes two lines that have different slopes and different y-intercepts. No solutions exist because the situation describes two lines that have the same slope and different y-intercepts. Exactly one solution exists because the situation describes two lines with different slopes and the same y-intercep

Answers

Answer:

Step-by-step explanation:

No solutions exist because the situation describes two lines that have the same slope and different y-intercepts.

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