A repair shop charges $50 per hour. this week it is offering
a $20 discount. the equation c = 50h-20 represents the
total cost, c, of a job taking h hours. what is the total cost
of a job that takes 6 hours?
$280
b $50
$300
$30

The total distance covered is 6,000 m.

Distance is defined as an object's total movement without regard for direction. Distance can be defined as how much ground an object had also covered regardless of its starting as well as ending point.

Now, as per the question;

The distance around track is 400 m.

14 more laps has been covered along with the initial one.

Thus the total distance will be;

Total distance  = 400 + 400×14

                         = 400 + 5,600

Total distance  = 6,000

Therefore, the total distance covered is 6,000 m.

To know more about the vector quantity, here

https://brainly.com/question/15516363

#SPJ4

Answer:

C: 51X+42Y

13x + 38x + 9y + 33y

adding,

51x + 42y so option C

12800

Step-by-step explanation:

you should find 6 percent on 32000 and multiply it by 10 to see the value it lost in 10 years then subtract that from 32000 for the final answer :)

Answer:

1. 15.17ft          2. 18.57ft           3. 22.41%

Step-by-step explanation:

1. What was the length of one side of the garage originally?

Area of a square = s × s which is also equal to s²

s means one side of the square, as it is a square, all sides are equal.

so

230 = s²

s = √230 = 15.17

2. What is the length of one side of the garage now?

The original area of the garage was 230ft²

But now, the area has increased by 50%

Increased Area = 230 × 50% = 115ft²

Total Area = 230 + 115 = 345ft²

In the question, they are saying that after the area is increased, the garage is still a square which means that the side lengths have equal values.

Area = s²

345 = s²

s = √345 = 18.57

3. What was the percentage increase of the length of one side?

   Length : Percentage

     15.17   :      100

    18.57   :         x

When the length of one side was 15.17, the percentage was 100% as that is what the original length was, we can use ratio and proportion to find what the percentage will be when the length is 18.57.

Now cross multiply

18.57 × 100 = 15.17x

1857 = 15.17x

1857/15.17 = x

x = 122. 41

The new percentage is 122.41%

The difference between both percentages is:

122.41 - 100 = 22.41

And 22.41 is the percentage increase.

The time when the two total costs would be equal is 6 hours.

The equation that can be used to represent the total cost of renting a canoe is a linear function. A linear equation is an equation that has a single variable raised to the power of 1.  A linear equation increases by a predetermined constant. An example of a linear equation is 2x + 2.

The form that the equation would be is:

Total cost = rental fee + (cost per hour x number of hours)

Total cost at Shop A = $2 + $5h

Total cost Shop B = $8 + $4h

When the total costs are equal, the two above equations would be equal.

$2 + $5h = $8 + $4h

Combine similar terms: $$5h - $4h=  $8 - $2

Add similar terms: h = 6 hours

To learn more about linear functions, please check: https://brainly.com/question/26434260

#SPJ1

The collection of all rational and irrational numbers, represented by the letter R, is known as a real number. A real number can therefore be either rational or irrational.

The set of natural numbers N = {1, 2, 3, 4, 5, . . .}

The set of integers Z = {. . ., –3, –2, –1, 0, 1, 2, 3, . . .}

The set of rational numbers Q = {x: x = a/b; a, b ∈ Z and b ≠ 0}

The set of irrational numbers, denoted by T, is composed of all other real numbers.

Thus, T = {x : x ∈ R and x ∉ Q}, i.e., all real numbers that are not rational.

Some of the irrational numbers include √2, √3, √5, and π, etc.

Some of the apparent relations among these subsets are:

N ⊂ Z ⊂ Q, Q ⊂ R, T ⊂ R, N ⊄ T.

To learn more about this, visit: https://brainly.com/question/23454979

#SPJ9

The length of the rectangle garden is 15 meters and the width of the rectangle garden is 10 meters.

Perimeter of the rectangle:

Perimeter of the rectangle is defined as the total distance covered by its boundaries or the sides. Since there are four sides of a rectangle, thus, the perimeter of the rectangle will be the sum of all four sides.

The formula for perimeter of the rectangle is,

P = 2 (a + b) units

where

“a” is the length of the rectangle

“b” is the breadth of the rectangle

Given,

A rectangle garden has a length of 5 less than 2 times the width.

The perimeter if 50 meters.

Here we need to find the side lengths of the rectangle garden.

Let w be the width of the garden.

According to the given details, the length is

l =2w - 5

Now apply the values on the perimeter formula,

Then

=> 2 ((2w - 5) + w) = 50

=> 2 (3w - 5) = 50

=> 3w - 5 = 25

=> 3w = 30

=> w = 10 meters.

Apply the value of width on the equation to find the length of the garden.

=> l = (2 x 10) -5

=> l = 20 - 5

=> l = 15 meters.

Therefore, the length of the garden is 15 meters and the width of the garden is 10 meters.

To know more about Perimeter of the rectangle here.

https://brainly.com/question/2142493

#SPJ4

Answer:

42

Step-by-step explanation:

210 × 20% = 42

The two numbers with the value of 9 in the first digit being 10 times the value of 9 in the second digit are 98 and 9.

The first number will be 9 and the second number will be 98.

In the second number, the 9 is in the tens position which means that it has the value of 90.

In the first number, the value of 9 is simply 9.

90 is 10 times the value of 9 which means that 9 and 98 satisfy the requirements.

Find out more on the tens position at https://brainly.com/question/27993647

#SPJ1

Answer:

6000

Step-by-step explanation:

thousands digit and the units digit are the same.

and The hundreds digit and the tens digit are the same.

The hundreds digit is 0.

so three digits are same.

so the last three digits are 0.

The sum of the digits is 6.

so 6000 is right answer.

Applying it's properties, the limits of the functions are given as follows:

1. 9.

2. -2.

A limit is given by the value of function f(x) as x tends to a value. Algebraically, for continuous functions, we have that:

[tex]\lim_{x \rightarrow a} f(x) = f(a)[/tex].

Hence, applying the property above, for item 1, we have that:

limx→0 f(x−1)g(x) = f(0 - 1)g(0) = f(-1)g(0) = -3 x 3 = 9.

For item 2, we have that:

limx→0 f(x+4)+g(x) = limx→4 f(x) + limx→0 g(x) = 3 - 5 = -2.

More can be learned about limits at https://brainly.com/question/26270080

#SPJ1

Answer:

32

Step-by-step explanation:

[tex]5\cdot \:5+7[/tex]

a. The conditional statement p → q is true

b. The converse q → p is False.

c. The inverse p → ~q is False

d. The contrapositive -q→ ~p is True

We are given the conditional statement;

Let p be "an animal is a puppy" and let q be "it is a dog."

a) The conditional statement p → q which is "If an animal is a puppy, then it is a dog" is true.

b) The converse statement q → p which is "If an animal is a dog, then it is a puppy" is false.

c) The inverse statement p → ~q which is "If an animal is not a puppy, then it is not a dog" is false.

d) The contrapositive statement: q → ~p which is  "If an animal is not a dog, then it is not a puppy" is true.

Read more about Conditional Statements at; https://brainly.com/question/11073037

#SPJ1

Answer:

9(10+5)

Step-by-step explanation:

because 10+5 is fifteen so then when you as them together you get the same expression as before

Answer:

9(10+5)

Step-by-step explanation:

because 10+5=15 and it's 9(15)

Answer:

0.00000057652

Step-by-step explanation:

5.764 × 10^-7 = 0.0000005764 (move the decimal place 7 steps forward)

0.00000057652>0.0000005764 (65>64)

Therefore 0.00000057652 is greater.

Hope this helped! ^^

Answer:

Step-by-step explanation:

1.5 and 2.25

, <--- That is called a comma

For a system of seven equations with thirteen unknowns corresponds to a matrix in row echelon form. The largest possible number of pivots for this matrix is 7.

Using a technique known as Gaussian elimination, any matrix can be converted to reduced row echelon form. This is especially useful for solving linear equation systems.

If a matrix has the following properties, it is in Row Echelon form:

Pivoting is the process of transferring the first matrix to the second matrix utilizing row operations similar to equations.

The matrix "A" has three columns. As a result, there can only be three pivots, implying that at least one row of "A" in echelon type must be zero.

To know more about the row echelon form, here

https://brainly.com/question/24036095

#SPJ4

Answer:

Step-by-step explanation:

The evaluation of the expression is 2, if the expression is x - y + z(x + w).

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

Given that x = 1, y = 1, w = 1, and z = 1

We have been given expression

⇒ x - y + z(x + w)

Substitute the values of x = 1, y = 1, w = 1, and z = 1 in the above expression,

⇒ 1 - 1 + 1(1 + 1)

⇒ 0 + 1(2)

⇒ 2

Hence, the evaluation of the expression is 2.

Learn more about the expressions here :

brainly.com/question/21751419

#SPJ4

Your question is incomplete, probably the missing part is:

Given x = 1, y = 1, w = 1, and z = 1 and this expression x - y + z(x + w): what is the evaluation of the logical expression?

As given Paul's Bikes rents bikes for $11 plus $4 per hour and  Amanda paid $31 to rent a bike shows she rent the bike for 5hours.

As given in the question,

Let 'h' represents the number of hours

Paul's Bikes rents bikes for $11 plus $4 per hour

Amanda paid $31 to rent a bike

Required equation is:

31 = 11 + 4h

⇒4h = 20

⇒h = 5hours

Therefore, as given Paul's Bikes rents bikes for $11 plus $4 per hour and  Amanda paid $31 to rent a bike shows she rent the bike for 5hours.

Learn more about rents here

brainly.com/question/22333666

#SPJ1

Answer:

i think the question might be incorrect or the question is incomplete

Answer:

x=-13

Step-by-step explanation:

[tex]\frac{x}{6-5}=\left(-13\right)[/tex]
[tex]\frac{x}{1}=\left(-13\right)[/tex]
[tex]x=-13[/tex]

Answer: x= -48

Step-by-step explanation:

x/6 -5 = -13                                              check answer

     +5 = +5                                                 (-48)/6 -5 =-13  

x/6 = -8                                                          -8 -5 = -13

6(x/6) = (-8)6                                                  -13 = -13  

x=-48

The derivative of the function y = (sin(7x))ln(x) is [tex]\frac{Sin(7x)}{x} +7*ln(x)*Cos(7x)[/tex]

Derivative of a function f(x) is defined as the rate of change of that function with respect to x at a point in its domain.

For Example , Derivative of [tex]3x^{2} =6x[/tex].

Product Rule of Differentiation

Let f(x) and g(x) be any two function. The derivative of their will be

F(x)=f(x)*g(x)

[tex]F'(x)=f(x)*g'(x)+g(x)*f'(x)[/tex]

Given y=(sin(7x))ln(x)

[tex]y'=Sin(7x)*\frac{d}{dx} ln(x)+ln(x)*\frac{d}{dx}Sin(7x)[/tex]

[tex]y'=Sin(7x)*\frac{1}{x} +ln(x)*Cos(7x)*7[/tex]

[tex]y'=\frac{Sin(7x)}{x} +7*ln(x)*Cos(x)[/tex]

Therefore , the derivative of the function y = (sin(7x))ln(x) is [tex]\frac{Sin(7x)}{x} +7*ln(x)*Cos(7x)[/tex]

Learn more about Derivative here https://brainly.com/question/10584897

#SPJ4