what hourly rate does the repair shop charge for labor?

Answers

Answer 1

its two hundred bucks

Answer 2

The mechanic's hourly rate is $55.

Understanding Labor Costs in a Repair Shop

To determine the hourly rate a repair shop charges for labor, we must analyze the information given and apply simple arithmetic operations. According to the examples provided, an auto mechanic charges a flat fee and an hourly rate for labor. For instance, a mechanic charging a flat fee of $75 per car, plus an hourly rate of $55 can be represented by the linear equation y = 75 + 55x, where 'y' is the total labor charge, and 'x' is the number of hours worked.

Example Calculation

Using the equation above, if the job takes 3.5 hours, the labor charge (y) would be calculated as $75 + ($55 imes 3.5) = $75 + $192.50 = $267.50. Hence, we can infer that the mechanic's hourly rate is $55.

Related Questions

Which row in the chart correctly identifies the functions of structures A, B, and C? *
(has to no more than one option)
Row 1
Row 2
Row 3
Row4

Thx so much :)

Answers

Structure A is used for (4) cell communication. The cell membrance has receptros for cell communcation.
Structure B is used to (1) extract energy from nutrients. The mitochondria is the power house of the cell.
Structure C is used for (1) protein synthesis. The golgi apparatus is where protein is created.

Final answer:

The correct row in the chart that identifies the functions of structures A, B, and C is Row 3. In Row 3, A is responsible for photosynthesis, B transports water and nutrients, and C provides structural support.

Explanation:

The correct row in the chart that identifies the functions of structures A, B, and C is Row 3.

In Row 3, A is identified as the structure responsible for photosynthesis, which is the process by which plants convert sunlight into energy. B is identified as the structure that transports water and nutrients from the roots to the rest of the plant, and C is identified as the structure that supports the plant and provides structural stability.

find the circular cylinder of largest lateral area which can be inscribed in a sphere of radius R=4 feet

Answers

Let say radius is r
its height is h
its lateral area = y
y = 2 pi r h
since the cylinder is inscribed in the sphere
So (2r )^2 + h^2 = 64
then 4 (r^2) = 64 - h^2
since y^2 = 4 (pi)^2 r^2 h^2
then y^2 = (pi)^2 *h^2 * (64 -h^2)
y^2 = 64 (pi)^2 * h^2 - (pi)^2 * h^4
2 y y' = 128 (pi)^2 * h - 4 (pi)^2 * h^3
putting y' = 0
4 (pi)^2 h ( 32 - h^2)=0
ether h = 0 testing this value (changing of the sign of y' before and after ) y is minimum
or h = 4 sqrt(2)
testing this value (changing of the sign of y' before and after ) y is maximum
So the maximum value of y^2 = (pi)^2 *32 *( 64 - 32)
y^2 = (pi)^2 * (32)^2
y = 32 (pi) square feet

hope this helps

Can the square root of 2 be written as an infinitely long fraction

Answers

No I believe it ends at 1.41421356237. unlike Pi that goes on forever

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

Answers

Im not sure or stock meaning but if it's about banks then if it gets higher that means you toke money from it and at the next day you gave them back a value less what you took

You are timing a kitchen floor that is 10 ft wide and 4 yd long. How many square yards of tile do you need?

Answers

1 yard = 3 ft

10/3 = 3 1/3 yards

3 1/3 x 4 = 13 1/3 square yards

Translate into a numerical expression.

seven less than the product of eleven and the reciprocal of nine.

Answers

(11*9⁻¹)-7. that's it.

Final answer:

To translate the sentence 'seven less than the product of eleven and the reciprocal of nine' into a numerical expression, you would write '11*(1/9) - 7'.

Explanation:

The sentence 'seven less than the product of eleven and the reciprocal of nine' can be translated into a numerical expression as follows:

Firstly, identify the main operations in the sentence. In this case, you have a product (multiplication) and a less than (subtraction) operation. The phrase 'the product of eleven and the reciprocal of nine' will be translated as 11*(1/9), since the reciprocal of nine is one over nine or (1/9).

Next, the 'seven less than' part indicates a subtraction operation. So, the complete numerical expression would be written as '11*(1/9) - 7'.

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please help asap need for test
What is the m∠ABC?

m∠ABC = 15°
m∠ABC = 45°
m∠ABC = 60°
m∠ABC = 75°

Answers

m?ABC = 60° Looking at the diagram, you have triangle ABC. For m?BAC you are given a value of 75°, m?ACB is a supplementary angle to 135° which means it has a value of 180° - 135° = 45°. Finally, ?ABC is the 3rd angle of triangle ABC. Since all the angles in a triangle add up to 180°, you simply need to do the subtraction. 180° - 75° - 45° = 60° Therefore m?ABC = 60°

Answer:

60 my vros

Step-by-step explanation:

What is the square root of 120 rounded to the nearest hundredths?

Answers

sqrt 120 rounded to the nearest hundredth = 10.95

Answer:

The value of the square root of 120 is 10.95

What is square root ?

Square root of the number is the factor that we can multiply by itself to get that number .

If square of a number is equal to another number than we can write

m = n²

And after taking root to both side

√m = √n²

We can cancel the square with root and

√m = n

We know the prime factor of 120

120 = 2x2x2x3x5

So the square root of 120 will be

√(2x2x2x3x5)= 2 √(2x3x5)

= 2 √(30)

And we know the value of √(30) = 5.477

Root of 120 = 2x5.477

= 10.95

Hence , the square root of 120 is 10.95 .

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jennifer earns $39 for 6 hours of babysitting.how much will she earn for 10 hours

Answers

find the unit rate.

39/6 = 6.5

$6.50 an hour

multiply this by ten to find the cost for 10 hours

$6.5 x 10 = $65

she will earn $65 in ten hours.
hope this helps! :D

First find out how much she get paid per hour so to find that, you would divide

39/6= $6.5 so she get paid $6.50

So just multiply 6.5 by 10 and you would get 65

So she will earn $65 in 10 hours

One number is 6 less than a second number. twice the second number is 9 less than 5 times the first. find the two numbers

Answers

ssssssssssssssssssssssssssssssssss

Write and solve an equation to solve the problem. Lisa is 4 centimeters taller than her friend Ian. Ian is 8 centimeters taller than Jim. Every month, their heights increase by 2 centimeters. In 4 months, the sum of Ian's and Jim's heights will be 140 centimeters more than Lisa's height. How tall is Ian now? Let h be Ian's height today in centimeters.
(h + 8) + (__) + 8 = ( __) + 8 + 140

Ian is __ centimeters tall now.

Answers

Let the actual heights of Lisa, Ian and Jim be L, I and J.

i) "Lisa is 4 centimeters taller than her friend Ian." means: L=4+I

ii) "Ian is 8 centimeters taller than Jim." means: I=8+J, thus J=I-8

so the heights of Lisa, Ian and Jim are 4+I, I and I-8, respectively.

Since their heights increase by 2 cm, in 4 months, their heights increase 2 cm*4 = 8 cm.

Thus, after 4 months the heights of Lisa, Ian and Jim become:

4+I +8, I+8 and I-8+8 that is I + 12, I+8, I.

In 4 months, "the sum of Ian's and Jim's heights will be 140 centimeters more than Lisa's height. " mean:

(I+8)+I=140+(I+12)

2I+8=152+I

I=152-8=144

This solution made use of writing all the ages in terms of Ians current age.

A teacher had $57.72 in his checking account. He made a deposit of $209.54. Then he wrote a check for $72.00 and another check for $27.50. What is the new balance in his checking account?

Answers

167.76 remaining in the account

The permiter of a triangle is 100 feet. the longest side is 3 feet less than twice the shortest side, and the third side is 7 feet longer than the shortest side. find the lengths of the sides of the triangle

Answers

let the shortest side be 's'
longest side be ' l '
and the third side be ' t'

P = s + l + t
P = 100

l - 3 = 2s
l = 2s + 3--- the longest side is 3 feet less than twice the shortest side

t= 7 + s ---- the third side is 7 feet longer than the shortest side

sub in (2s + 3) for l and (7 + s) for t

P = s + l + t
P = s + 2s + 3 + 7 + s
P = 100
100 = s + 2s + 3 + 7 + s
100 = 4s + 10
4s = 100 - 10
4s = 90
s = 90/4
s = 22.5

P = s + l + t
100 = 22.5 + l + t
100 - 22.5 = l + t
77.5 = l + t

from the previous equation we know l = 2s + 3
we'll plug in l into 77.5 = l + t

77.5 = 2s + 3 + t
we know s = 22.5

77.5 = 2(22.5) + 3 + t
77.5 = 48 + t
t = 77.5 - 48
t = 29.5

l = 2s + 3
l = 2(22.5) + 3
l = 48

the lengths are 22.5, 29.5 and 48

You have one liter of lemonade concentrate that contains 10% sugar. you pour one fourth of it into a pitcher and you add water to make the final volume one liter, what is the percentage of sugar in the new pitcher?

Answers

Originally:
Total liquid volume = 1 L
Sugar volume = 10% of 1L = 0.1 L

Finally:
Sugar volume = (1/4) of 0.1 L = 0.025 L
Total liquid volume = 1 L
Percentage of sugar = 100*0.025 = 2.5%

Answer: 2.5%

Ken says that 9,138 rounded to the nearest thousand is 9,100

Answers

it's stays the same so the answer is 9,138

That is incorrect ken rounded to the nearest hundred not thousand

Is this a function? If so, write function in function notation. (0,-7), (1,-4), (2,-1), (-1,-10) Is this a function? Yes or No? If yes, write the equation.

Answers

well, for a function, in a set of x,y ordered pairs, so long the "x" are not repeated, then it IS a function, let's look

[tex]\bf \{(\boxed{0},-7), (\boxed{1},-4), (\boxed{2},-1), (\boxed{-1},-10)\}\impliedby \begin{array}{llll} \textit{nope, no x-re} peats\\ \textit{it is indeed a}\\ function \end{array}[/tex]

so then, let's use two of those points ahemm let's see say (0, -7) and (2, -1)

so, what's the equation of a line that goes through (0, -7) and (2, -1)?

[tex]\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ 0}}\quad ,&{{ -7}})\quad % (c,d) &({{ 2}}\quad ,&{{ -1}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-1-(-7)}{2-0}\implies \cfrac{-1+7}{2-0} \\\\\\ \cfrac{6}{2}\implies 3 \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-7)=3(x-0)\implies y+7=3x \\\\\\ y=3x-7[/tex]

The distribution of the time it takes for different people to solve a certain crossword puzzle is strongly skewed to the right, with a mean of 30 minutes and a standard deviation of 15 minutes. the distribution of z-scores for those times is

Answers

Answer: Skewed to right with mean 0 and S.D. 1 Explanation: Let's assume the z-scores as a linear transformation. then z=(x-mean)/S.D. = (x-30)/15 z(mean) = (30-30)/15= 0 z(sigma) = 15/15 = 1 Note: Shape does not change.

Final answer:

The distribution of the z-scores for the time it takes to solve a crossword puzzle that is strongly skewed to the right with a mean of 30 minutes and a standard deviation of 15 minutes can be calculated using the formula z=(x-mean)/standard deviation. Z-scores can be used to determine how far a data point is from the mean in terms of standard deviations.

Explanation:

z = (x - mean)/standard deviation

For example, if a person takes 45 minutes to solve the puzzle, the z-score would be:

z = (45 - 30)/15 = 1

This means that the person's time is one standard deviation above the mean.

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5. A packet of razors and a bar of soap cost £5.50. If the soap costs £2.50 less than the razors, find the cost of each.

Answers

Let the cost of soap be x,
cost of razors = x + 2.5
total cost = 2x + 2.5
2x + 2.5 = 5.5
2x = 3
x = 1.5
cost of razors = 1.5 + 2.5
= 4

The cost of the packet of razors and bar of soap is £4.00 and £1.50 respectively.

R+s=5.5
R-s=2.5
Adding both
2r=8
R=4
S=5.5-4=1.5

Please help!! I'm giving brainliest!!Suppose the number of students who prefer classical music is 64. What would be the relative frequency? Round the answer to two decimal places if needed.
(1 point)
A.0.64 B.0.25
C.0.09
D.0.11

Answers

So first we need to find approximately the number of total students.

Rock I would say is about 200 people. Country, 100, Rap, 255, Classical, 64 as said before, and Blues, 80.

So if we add these all up we can find the total students.

200 + 100 + 255 + 64 + 80

699

Now the relative frequency is how many times something appears in a group.

Classical appears 64 times in about 700 people.

So, 64/700, is closest to the 0.9 selection.

Answer:0.9

Step-by-step explanation:

test

The inequality of the most people that can be seated in the auditorium

Answers

Let x be the number of people that can be seated.

The value of x is some number 0 or greater, such that this number is a whole number (we can't have half a person). This means that [tex]x \ge 0[/tex] which is the same as saying [tex]0 \le x[/tex]

The instructions state that we can seat up to 1200 people. This is the max capacity. We can't go over this amount. So we will also have [tex]x \le 1200[/tex] indicating that x can be less than 1200 or equal to 1200.

So putting the two inequalities together, we get [tex]0 \le x \le 1200[/tex]

Note: if you haven't learned about compound inequalities yet, then the teacher may only want [tex]x \le 1200[/tex] as the answer.

Is the remainder supposed to be this big of a number? Did I mess something up?

Answers

What math is this?...........

Assuming you got a remainder of 176, then you have the correct answer. Nice work. It's perfectly possible to get large values for a remainder.

Side Note: you also have the correct quotient as well

A flower bed has the shape of a rectangle 7 yards long and 4 yards wide. what is its area in square feet

Answers

In order to find the area of a rectangle, the width must be multiplied by the length. Since we know the length is 7 yards and the width is 4 yards, we can simply multiply these two values together. 4yd x 7yd= 28yds^2.

Write the equation of the line that passes through (2, 4) and has a slope of –1 in point-slope form.
x – 4 = –1(y – 2)
x – 2 = –1(y – 4)
y – 2 = –1(x – 4)
y – 4 = –1(x – 2)

Answers

y - y1 = m (x - x1)

where m is the slope and (x1 , y1) is the point given

We are given:

m= -1

the point is (2, 4)

Then:

y - y1 = m (x - x1)
y-4 = (-1) (x-2)
y - 4 = -x + 2
y = -x +2 +4

y = -x + 6

Hope that helps you

Write the equation of the sphere in standard form. x2 + y2 + z2 + 4x − 6y − 6z = −6

Answers

hello :
x2 + y2 + z2 + 4x − 6y − 6z = −6
(x²+4x) +(y² - 6y) +( z² -6z) = -6
((x² +4x +4) -4 ) + ((y² - 6y +9) - 9 ) + ((z² - 6z+9) -9 ) = - 6
(x+2)² + (y - 3)² + ( z - 3)² = 4²...( standard form )

Final answer:

To put the given equation of a sphere in standard form, complete the square for x, y, and z, and combine constant terms on the right side. The standard form of the sphere's equation is (x + 2)2 + (y - 3)2 + (z - 3)2 = 28, with a center at (-2, 3, 3) and a radius of √28.

Explanation:

To write the equation of the sphere in standard form, we will complete the square for the x, y, and z terms in the given equation x2 + y2 + z2 + 4x − 6y − 6z = −6.

First, we organize the variables and separate the constants:

x2 + 4x + y2 - 6y + z2 - 6z = -6

We then complete the square for each variable by adding and subtracting the square of half the coefficient of the linear term:

x2 + 4x + 4 - 4 + y2 - 6y + 9 - 9 + z2 - 6z + 9 - 9 = -6

Now we can rewrite this as:

(x + 2)2 - 4 + (y - 3)2 - 9 + (z - 3)2 - 9 = -6

Combining the constant terms on the right side we get:

(x + 2)2 + (y - 3)2 + (z - 3)2 = 4 + 9 + 9 + 6

Which simplifies to:

(x + 2)2 + (y - 3)2 + (z - 3)2 = 28

The sphere's center is located at (-2, 3, 3) and has a radius of √28. In standard form, the equation of the sphere is:

(x + 2)2 + (y - 3)2 + (z - 3)2 = 28

Answer choices:

never

sometimes

not enough information provided to answer the question

always

Answers

The correct answer is Always

P(A and B) means add A and B

if both A and B are both greater then 1/2

then when they are added they will always be greater than 1

Find the sum of the polynomials below: (7x8 + 3x - 3) + (4x8 + 2x + 5)

Answers

7x^8+3x-3
+4x^8+2x+5
=11x^8+5x+2

Write -38.375 as a mixed number in simplest form.

Answers

-38.375

-38 is ur whole number, it stays ur whole number.
.375....the last digit (5) is in the thousands place, so put it over 1000

-38 375/1000 which reduces to -38 3/8

A bank's monthly charge for maintaining an account is $.45 for each check written plus a service charge of $12.50. If x represents the number of checks written during the month, which function models this situation?

Answers

The function would be 12.50+.45x

Answer:

0.45x + 12.50

Step-by-step explanation:

What is the rule about significant figures when multiplying and dividing measurements?

Answers

report answer to same amount of sig figs and the least # with least figures

ex - 587 x 45 = 26,415 --> 26,000 or 2.6 x 10^4

Josh wants to make a set of 12 ceramic cups. He figures he'll need 0.75 of a pound of clay for each cup. How many pounds of clay does Josh need in all?

A.) 8.4 pounds
B.) 9 pounds
C.) 12.75 pounds
D.) 16 pounds

Answers

multiply 12 x 0.75

12 x 0.75 = 9

answer is B. 9 pounds

Answer:

Josh will need 9 pounds Option B.

Step-by-step explanation:

Josh wants to make a set of 12 ceramic cups.

For each cup he will need 0.75 pound of clay

We have to calculate how many pounds of clay does Josh need for 12 ceramic cups. So we have to multiply 12 cups by 0.75.

for 12 cups he will need = 12 × 0.75 = 9 pounds.

Josh will need 9 pounds to make a set of 12 ceramic cups.

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