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

A train leaves San Diego at 1:00 pm. A second train leaves the same city in the same direction at 3:00 pm. The second train travels 30 mph faster then the first. If the second train overtakes the first at 6:00 pm, what is the the speed of each of the two trains?

Answers

Answer:

The speed of the first train is 45 mph and the speed of the second train is 75 mph

Step-by-step explanation:

Let x represent the speed of the first train in mph. Since the second train, is 30 mph faster then the first, therefore the speed of the second train is (x + 30).

The first train leaves at 1:00 pm, therefore at 6:00 pm, the time taken is 5 hours. Therefore the distance covered by the first train at 6:00 pm = x mph * 5 hours = 5x miles

The second train leaves at 3:00 pm, therefore at 6:00 pm, the time taken is 3 hours. Therefore the distance covered by the second train at 6:00 pm = (x + 30) mph * 3 hours = (3x + 90) miles

Since the second train overtakes the first at 6:00 pm, hence:

3x + 90 = 5x

2x = 90

x = 45

Therefore the speed of the first train is 45 mph and the speed of the second train is 75 mph (45 mph + 30 mph).

This is a grade pls help asap i need tye answer quickly.​

Answers

Answer:

the first question I think yes cause the second one says that there is y line

the y intercept is 9

A triangle has side lengths of 6, 8, and 10. Is it a right triangle?

Answers

Answer: Yes

Step-by-step explanation:

You can tell that two of the numbers are only 2 apart, hence CB and CA, and the other one, AB, or the bottom side, is way less.

Answer:

YES IT IS

Step-by-step explanation:

For a triangle to be a right triangle, it must follow pythagorean theorem to find the hypotenuse (long side of triangle).

A squared + B squared = C squared

6 squared + 8 squared = 100

Since we squared our addends, we must find the square root of 100 (which is 10)

Since 10 is one of the side lengths for the hypotenuse since it is the longest, and we got 10 from pythagorean theorem, we know it is a right triangle.

Hope this helps you. Have a great rest of your day.

-20 integer whole number irrational or rational etc

Answers

Answer:

The number -20 is rational

Answer:

the answer is irrational!

Step-by-step explanation:

I don't know how to solve this 2/4 + 3/8=?​

Answers

Answer:

7/8

Step-by-step explanation:

look it up

your wel3

Answer: [tex]\frac{7}{8}[/tex] or 0.875 in decimal form.

Step-by-step explanation:

Okay, so to solve this, the easiest method is to find a common denominator. While we could try using trial and error or if you know your tables really well, I don't so we will just multiply the denominators which is 8 and 4. We then multiply 8 and 4 which is 32.

To convert the fractions we have, we multiply both the numerator and denominator of each, by the multiple that multiplies the denominator to 32.

[tex]\frac{2}{4}[/tex] multiply both 4 and 2 by 8. Now we have [tex]\frac{16}{32}[/tex].

Same thing with the second number. We have [tex]\frac{3}{8}[/tex]. We multiply both the numerator and the denominator by 4. 3*4 is 12, 8*4 is 32.

Now we have [tex]\frac{12}{32}[/tex].

Now that both fractions have common denominators, we can add the numerators. [tex]\frac{16}{32} +\frac{12}{32} = \frac{28}{32}[/tex]

Now we have the answer, [tex]\frac{28}{32}[/tex], but is that it?

No. Now to find the final two answers, we simply [tex]\frac{28}{32}[/tex].

To simplify, we find the Greatest Common Factor of 28 and 32, which in this case happens to be 4. This is the highest number that either of those can be divided by to provide a normal whole number

After solving [tex]\frac{28/4}{32/4} =\frac{7}{8}[/tex]

That is our final answer. [tex]\frac{7}{8}[/tex].

If necessary, you can convert it to decimal form through simple division and end up with 0.875.

What is the equation of a circle with center (-3, -5) and radius 4?

Answers

Answer:

The choose (A)

A- (x+3)²+(t+5)²=16

Answer:

A (x + 3)^2 + ( y + 5 )^2 = 16

Step-by-step explanation:

The formula for equation of a circle is (x - h ) ^2 + ( y - k ) ^2 = r ^2

                                                            ( h , k ) represent the coordinates

                                                              r represents the radius

Plug in the numbers ( x - (-3) ) ^2 + ( y - (-5) ) ^2 = 4 ^2

2 negatives make a positive

So the equation would be (x + 3)^2 + ( y + 5 )^2 = 16

You also need to make sure you square the radius

CAN U HELP ME PLZ!!!! |
\/

Answers

Answer:

7.33

Step-by-step explanation:

Harold found a job through a friend that works in HR for a large company. The job pays a yearly salary of $39K. What is the weekly salary based on this annual salary?

Answers

Answer:

Weekly salary of Harold = $750 (Approx.)

Step-by-step explanation:

Given:

Annual salary of Harold = $39K = $39,000

Find:

Weekly salary of Harold

Computation:

Number of weeks in a year = 365 / 7

Number of weeks in a year = 52.1425

Number of weeks in a year = 52 week (Approx.)

Weekly salary of Harold = Annual salary of Harold / Number of weeks in a year

Weekly salary of Harold = 39,000 / 52

Weekly salary of Harold = 750

Weekly salary of Harold = $750 (Approx.)

Area of triangle please help

Answers

Answer:

A= 18

Step-by-step explanation:

Answer:

18 your answer is correct

Step-by-step explanation:

12x3=36

36÷2=18

What is the answer and explanation

Answers

Answer:
-4 1/3 < -1 3/4

Explanation:
The negative number farther away from 0 is smaller.

Answer:

- 4 1/3 < - 1 3/4

Step-by-step explanation:

The further down you go on the left side of the number line, the smaller the numbers will be. Since -4 1/3 is further down the left side of the number line than -1 3/4, it's smaller, or less than, -1 3/4

A loading tempo can carry 482 boxes of biscuits weighing 15kg each, whereas a van can carry 518 boxes each of the same weight. Find the total weight (in kg) that can be carried by both the vehicles.

Answers

Answer:

Tempo = 7,230kg

Van = 7,770kg

Step-by-step explanation:

FOR THE TEMPO

boxes of biscuits = 482

Each weight = 15kg each

= 482 x 15kg

= 7,230kg

FOR THE VAN

boxes of biscuits = 518

as written in the question that Each box have the same weight as in the tempo so it is = 15kg Each

= 518 x 15kg

= 7,770kg

How can 17% of 58 be calculated?
A. by dividing 17 by 58
B. by dividing 58 by 0.17
C. by multiplying 17 by 58
D. by multiplying 58 by 0.17

Answers

Answer:

D. by multiplying 58 by 0.17

[tex]17\% \: of \: 58 \\ = \frac{17}{100} \times 58 \\ = \frac{986}{100} \\ = 9.86[/tex]

How is 80.106 written in expanded form?
Pls answer !!

Answers

Answer:

B

Step-by-step explanation:

This is pretty self explanatory and easy..

Find the volume of each figure. Simplify your answers.

Please help ASAPPP
thank you so much!!!!

Answers

Answer:

231.556

simplifyed?: 232

The Lewis dot model of an atom has three dots. Which of the following statements is true about the atom?
It has three valence electrons.
It has three innermost shell electrons.
It has three energy levels.
It has three subshells.

Answers

Lithium
Lithium (At. No. = 3) has three electrons, two in the K shell and one located farther from the nucleus in the L shell.

The Lewis dot model of an atom has three dots. The statement that is true about the atom is it has three valence electrons. The correct option is A.

What is a Lewis dot model?

Lewis dot model or Lewis structure is a method that was given by Gilbert N. Lewis. It was introduced in 1963. The model is made to put dots around the elements. These dots show the valence electron of the atoms. The model was extended by putting lines around the element.

If an atom has three dots around us, it means the element has three valence electrons. The element is lithium. Lithium has three electrons that are lone or valence, which means it can share and donate three electrons.

Thus, the correct option is A. It has three valence electrons regarding true about the atom.

Learn more about the Lewis dot model, here:

https://brainly.com/question/20300458

#SPJ5

Solve for x using the Quadratic Formula: x^2 + 2x+1=0
X=-b plus or minus b2-4ac squared all over 2a

Answers

Answer:

c is the answer

Step-by-step explanation:

The sails of two boats are pictured below. What is the value of y?

Answers

Answer:

C 70

Step-by-step explanation:

since 2 sides are parallel to each other, so is then the third side, and their these are similar triangles. that means all angles of one triangle are the same in the other.

remember, the sum of all angles in a triangle is always 180 degrees.

so, we know 2 angles. one is 90 degrees, x is 20 degrees, therefore

y = 180 - 90 - 20 = 70

A tiene la mitad de lo que tiene B. Si A gana 66 y B pierde 90. A tendrá del doble de lo que le quede a B ¿cuanto tiene cada uno?

Answers

Respuesta:

a = 82; b 164

Explicación paso a paso:

a = 1 / 2b - - - (1)

a gana 66 = a + 66

b = b - 90

a = 2b

a + 66 = 2 (segundo - 90) - - - (2)

Ponga a = 1 / 2b en (2)

1 / 2b + 66 = 2 (b-90)

0.5b + 66 = 2b - 180

0.5b - 2b = - 180 - 66

-1,5b = - 246

b = 164

a = 1 / 2b

a = 1/2 * 164

a = 82

use the diagram to answer the question.​

Answers

Answer:

Step-by-step explanation:

25+105+x=180 degree(being sum of the interior angles of a triangle)

130+x=180

x=180-130

x=50 degree

Answer:

B. 50

Step-by-step explanation:

total angle of triangle = 180⁰

hence,

25 + 105 + x = 180

x = 50

therefore ans is B. 50⁰

Where is the blue dot located on the number line

Answers

-19 it goes back by threes so count back and you get negative 19
Answer:  -19

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

Explanation:

Use the midpoint formula to find the midpoint of -10 and -4

A = -10 = left endpoint

B = -4 = right endpoint

C = midpoint of A and B

C = (A+B)/2

C = (-10+(-4))/2

C = -14/2

C = -7

The value -7 is exactly midway between -10 and -4, so that's the missing tickmark between those values. Consequently, it also means each gap is 3 units wide (i.e., distance from -10 to -7 is 3 units).

Start at -10 and subtract 3 to move to the left by that amount. Do this three times to follow this pattern:

move from -10 to -13move from -13 to -16move from -16 to -19

The blue dot is located at -19

You have some candies in your pocket. A friend gives you five more candies. When you count all your candies you have 14

Answers

Answer:

9 candies

Step-by-step explanation:

You are required to find the number of candies in your pocket

Let

x = number of candies in your pocket

A friend gives you five more candies.

Total candies = 14

This can be represented by the equation:

Total candies = candies in your pocket + candies your friend gave you

14 = x + 5

14 - 5 = x

9 = x

x = 9 candies

x = number of candies in your pocket = 9

3. Two consecutive odd integers can be modeled by n and n + 2, where n is an
odd integer. The sum of two consecutive odd integers is 80. What are the
integers?

Answers

Step-by-step explanation:

Given :-

Two consecutive odd integers can be modeled by n and n + 2, where n is anodd integer. The sum of two consecutive odd integers is 80.

=> n + n +2 = 80

=> 2n + 2 = 80

=> 2n = 78

=> n = 78 ÷ 2

=> n = 39

numbers = 39 &41

What is the simplest form of b/bc ??

Answers

b/bc =b/b =0 left c
Ans c

The equation of a line is 2x + 3y = Select three

lines that are parallel to the given line.

Answers

Answer:

The three lines that are parallel to the Given line are :

2x + 3y = 2

9y = -6x + 15

3y = -2x + 12

Step-by-step explanation:

The exact question is as follows :

Given - The equation of a line is 2x + 3y = 4.

To find - Select three lines that are parallel to the given line.

A) 2x + 3y = 2

B) 2x + 5y = 15

C) 9y = -6x + 15

D) 3y = -2x + 12

E) 3x - 2y = 15

Solution -

We know that,

If the slopes are the same and the y-intercepts are different, the lines are parallel.

Given that,

The given line is 2x + 3y = 4

⇒3y = -2x + 4

⇒y = -(2/3)x + (4/3)

So,

Slope = -(2/3)

y-intercept = (4/3)

Now,

A.)

2x + 3y = 2

⇒3y =  - 2x + 2

⇒y = -(2/3) + (2/3)

So,

Slope = -(2/3)

y-intercept = (2/3)

By Comparing with the given line's slope and y-intercept

We can see that

slope is same but y-intercept is different

So,

2x + 3y = 2 is parallel to the given line.

Now,

B.)

2x + 5y = 15

⇒5y =  - 2x + 15

⇒y = -(2/5) + (15/5)

So,

Slope = -(2/5)

y-intercept = 3

By Comparing with the given line's slope and y-intercept

We can see that slope is different

So,

2x + 5y = 15 is not parallel to the given line.

C)

9y = -6x + 15

⇒y = -(6/9)x + (15/9)

     = -(2/3)x + (5/3)

⇒y =  -(2/3)x + (5/3)

So,

Slope = -(2/3)

y-intercept = 5/3

By Comparing with the given line's slope and y-intercept

We can see that slope is same and y-intercept is different

So,

9y = -6x + 15 is parallel to the given line.

D)

3y = -2x + 12

⇒y = -(2/3) + (12/3)

So,

Slope = -(2/3)

y-intercept = 4

By Comparing with the given line's slope and y-intercept

We can see that slope is same and y-intercept is different

So,

3y = -2x + 12 is parallel to the given line.

E)

3x - 2y = 15

⇒-2y = -3x + 15

⇒2y = 3x - 15

⇒y = (3/2) - (15/2)

So,

Slope = 3/2

y-intercept = -15/2

By Comparing with the given line's slope and y-intercept

We can see that slope is different

So,

3x - 2y = 15 is not parallel to the given line.

∴ we get

The three lines that are parallel to the given line are :

2x + 3y = 2

9y = -6x + 15

3y = -2x + 12

Which of the following rational numbers lies between 1/3 and 2/3?

Answers

Answer:  Choice B

24/48,  20/48,  18/48,  17/48

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

Explanation:

1/3 = 0.333 approximately

2/3 = 0.667 approximately

We're looking for values between 0.333 and 0.667

We can rule out choice A because 1 doesn't fit the description.

Choice C can be ruled out as well because 9/12 = 0.750 isn't between 0.333 and 0.667

--------------------------

Choice B works because all the decimals shown below are between 0.333 and 0.667

24/48 = 0.50020/48 = 0.417 (approximate)18/48 = 0.37517/48 = 0.354 (approximate)

Please help I need it in 5 minutes

Answers

i cant see the picture, post it again pls.

Explanation needed
find the image of (1 2) after a reflection about y=-1 followed by a reflection about y=1

Answers

Answer:

A‘‘ (1,6)

Step-by-step explanation:

after a reflection about a horizontal line the x coordinates remain the same

the middle point of the segment AA’ lies on the line so it has y = -1

so we have

(y+y’)/2 = -1

y’ = -2 -y

y‘ = -2 -2 = -4

so A‘ (1,-4)

we can use the same reasoning to find the reflection about y = 1

x‘ = x

(y + y’)/2 = 1

y‘ = 2+4

y’ = 6

A‘‘(1,6)

find the slop if the line through each pair of points (-13,1),(-16,1)

Answers

Answer:

[tex]slope = \frac{(1 - 1)}{( - 16 - ( - 13))} \\ = \frac{0}{ - 3} \\ = 0[/tex]

Answer:

Slope is 0

Step-by-step explanation:

7 2/3+(-5 1/2)+8 3/4=?

Answers

Answer:

10.9166666667 or 10 11/12

hope this helps

have a good day :)

Step-by-step explanation:

I think it is between these two..


(No link pls <3)

Answers

slope of line is 2 comparing equation y= mx+c where m is your slope

Answer:

- 1

Step-by-step explanation:

SLOPE/Y-INTECEPT EQUATION

y = mx + b

The "b" is the slope. Any number that is not multiplied by "x" and is not "y" is the slope.

y = 2x - 1

Since the "-1" is not multiplied by "x" and is not "y", then that means it can only be the slope.

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