Evan charged Jill $32 for parts and $15 per hour to repair her bicycle. If he spent 4 hours repairing
her bike, how much does Jill owe him?

The solution set for the open sentence with the given replacement set is; 6

We are given the equation as;

13 - x = 7

To solve this , let us use subtraction property of equality to subtract 13 from both sides to get;

13 - 13 - x = 7 - 13

-x = -6

Use division property of equality to divide both sides by -1 to get;

x = 6

Now, the set of possible solutions is  {4, 5, 6, 7}. Thus, our solution falls within the set.

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Answer:

line J and line L are parallel so C.

The parallel line are j and l.

Hence the correct answer is c.

Given are four lines that have been graphed on the same coordinate grid.

We need to check which of these are parallel to each other.

To determine which lines are parallel to each other, we need to compare their slopes. Parallel lines have the same slope.

The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

Let's identify the slopes of the given lines:

Line j: y = (2/3)x + 1/2

Slope of j: 2/3

Line k: y = (1/2)x + 2/3

Slope of k: 1/2

Line l: y = (2/3)x + 3/2

Slope of l: 2/3

Line m: y = (3/2)x + 1/2

Slope of m: 3/2

Now, let's see which lines have the same slope:

A. k & m - The slopes are different (1/2 and 3/2). These lines are not parallel.

B. k & l - The slopes are different (1/2 and 2/3). These lines are not parallel.

C. j & l - The slopes are the same (2/3). These lines are parallel.

D. j & m - The slopes are different (2/3 and 3/2). These lines are not parallel.

So, the correct answer is:

C. j & l

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Answer: 2

UvU This might help might not

The equation solved for x gives  -0. 61

Algebraic expressions are expressions that comprise variables, terms, factors, constants and coefficients.

They are also made up of certain arithmetic operations such as addition, subtraction, multiplication, division, bracket, parenthesis, etc.

Given the expression;

-1/2 + 6/7  = x + 9.7

Find the lowest common multiple

-7 + 12/14 = x + 9. 7

Add the numerators

5/ 14 = x + 9. 7

Find the quotient

0. 36 = x + 0. 97

collect like terms

x = 0. 36 - 0. 97

x = -0. 61

Thus, the equation solved for x gives  -0. 61

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Answer: - 2x³ - 5x² - 4x, trinomial

Step-by-step explanation:

    When writing a polynomial, the standard form is to have the terms ordered from highest power to lowest power. 3 > 2, so we will reorder them as so;

- 5x² - 2x³ - 4x ➜  - 2x³ - 5x² - 4x

    To identify the polynomial, we will look at the number of terms. This polynomial has three terms, so it is a trinomial.

- 2x³ - 5x² - 4x

[1] - 2x³

[2] - 5x²

[3] - 4x

0 is a counterexample to Kelvin's conjecture.

Firstly rewriting the expression -

x²>x + 1

Now, we will use hit and trial method to find the counterexample to Kelvin's conjecture.

We can not use first two options, because question mentions that x is not negative. So, starting our hit and trial method from 0.

We will keep the value in expression to find the result -

0²>0 + 1

0 > 1

This contradicts or opposes Kevin's statement, as 0 is not greater than 1.

Trying the second number -

5²>5 + 1

25 > 6

This is in accordance with Kevin's conjecture or conclusion, as 25 is greater than 6.

Hence, 0 is the value which is a counterexample to Kelvin's conjecture.

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The complete question is -

Given that x is a number that is not negative, Kelvin conjectured that x^2>x+1 .

Which value is a counterexample to Kelvin's conjecture?

−12

−2

0

5

The numbers are 8 and 24.

Let the smaller number be x.

Larger number = 3x

Therefore, the expression will be:

3x - 10 = x + 8

Collect like terms

3x - x = 8 + 10

2x = 18

Divide

x = 18/2

x = 9

The bigger number will be:

3x = 3 × 8 = 24

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Answer:

73° & 107°

Step-by-step explanation:

1. Those angles are supplementary, so they add up to 180 degrees.

2. (8x - 20) + (8x + 8) = 180

3. You need to add both 8x's together to make 16x. Do the same with -20 & 8. That makes -18. This is binomial addition.

4. 16x - 18 = 180

5. Add 18 to both sides

6. 16x = 198

7. Divide both sides by 16

8. x = 12.375

9. Plug in your x for both angles.

Given the values that we have here for the large sizes and the family size of cereal the one that has the lowest price per ounce is that of the Large size at $0.21 per ounce

For the family size

We would first have to divide 5.34 by 24

= 5.34 / 24

= 0.22 per dollar

For the large size we have

15 ounces for $3.14

= 3.14 / 15

= 0.21 dollars

Hence we can see that the size of the cereal that is the lowest price per ounce is given as Large size at $0.21 per ounce

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Answer:

He will have it on the 15th day

An inequality that represents the situation is 50 ≤ x ≤ 1000

And the inequality in interval notation is  [50, 1000]

In this question, we have been given a situation - an essay contest requires that entries be within 50 words of 1000 words long.

We need to write an inequality that represents the situation using the variable x.

Also, we need to write the inequality in interval notation.

Let x represents the number of words.

An essay contest requires that entries be within 50 words of 1000 words long.

So, we get an inequality,

50 ≤ x ≤ 1000

and the corresponding interval notation for above inequality would be,

[50, 1000]

Therefore, an inequality that represents the situation is 50 ≤ x ≤ 1000

And the inequality in interval notation is  [50, 1000]

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The value of the expression 2x^2 where x = 5 and y = 2 is 8

The expression is given as

2x^2

From the question, we have the values of the x and y to be

x = 5 and y = 2

Substitute x = 5 and y = 2 in the expression 2x^2

So, we have

2x^2 = 2 x 2^2

Evaluate the exponent

So, we have

2x^2 = 2 x 4

Evaluate the product

So, we have

2x^2 = 8

Hence, the value of the expression 2x^2 where x = 5 and y = 2 is 8

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The solution to given equation 5x - 12 - 6x = -10x + 7 - 1 is x = 2.

In this question,

we have been given an equation  5x - 12 - 6x = -10x + 7 - 1

We need to solve above equation using given steps.

5x - 12 - 6x = -10x + 7 - 1                   .................(Given equation)

Step 1. Collect like terms

⇒ (5x - 6x) - 12 = -10x + (7 - 1)

⇒ -x - 12 = -10x + 6

Step 2.Move variables to one side of the equation (addition/subtraction property of equalities)

⇒ -x + 10x -12 = 6

Step 3. Move constant to the other side of equation (Addition/subtraction property of equalities)

⇒ 9x = 6 + 12

⇒ 9x = 18

Step 4.(multiplication/division property of equalities)

⇒ x = 18 ÷ 9

⇒ x = 2

Therefore, the solution to given equation 5x - 12 - 6x = -10x + 7 - 1 is         x = 2.

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Answer:

[tex]2ab^{(-6)}[/tex]

Step-by-step explanation:

Multiply exponents/group exponents

[tex]2ab^{(-2)} \times b^{(-4)}\\2ab^{-2 + -4}\\2ab^{-6}[/tex]

Answer: 5.94

Step-by-step explanation: In order to find the mean, you first add up all the values in the data set and then divide this number by the number of values!

Hope it helps ^^

The answer would be 0.0078

The decimal number 0.00784 rounded off to 2 decimal places is 0.

We round off numbers to make them easier to remember and it also keeps its value approximately to the place it has been rounded off.

To round off any number to any place we'll look for the digit next to that place and if it is equal to or greater than 5 we'll add one to the previous digit and make all the digits after it zeroes and if the digit is less than 5 we do not add one to the preceding digit and simply make all the digit after it to zeroes.

Given, 0.00784 and we have to round off to two significant figures means

the number will have 2 digits after the decimal place.

Now, 0.00784

= 0.00780.

= 0.0078.

= 0.0080.

= 0.008.

= 0.010.

= 0.01.

= 0.00.

= 0.

So, 0.00784 rounded off to 2 decimal places is 0.

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20 degrees is your angle

Answer: 0.0016

Step by step explanation:

Answer:

=1/5⁴ = 1/625

Step-by-step explanation:

(1/5)² (1/5)² = (1/5)⁴

= 1⁴ / 5⁴

= 1 / 625

Answer: 16% :)

Step-by-step explanation: 25x4=100, and 4x4=16. so 16/100, which equals 16%

Answer:

[tex] \sf {\large{16 \: \%}}[/tex]

Step-by-step explanation:

We know that

4/25 is the same as 4÷25

Then using

Long Division for 4 divided by 25 gives us

0.16

Converting our number to a percentage:

0.16×100

=16%

The square is rotated 90° clockwise about the origin to new points A'(2, 2), B'(4, 2), C'(4, 4) and D'(2, 4)

Transformation is the movement of a point around the coordinate plane. Types of transformations are rotation, translation, reflection and dilation.

Rotation is the flipping of a figure about a fixed point.

Square ABCD have vertices at A(-2, 2), B(-2, 4), C(-4, 4) and D(-4, 2). The square is rotated 90° clockwise about the origin to new points A'(2, 2), B'(4, 2), C'(4, 4) and D'(2, 4)

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[tex]21x + 4y = 300[/tex]

We have infinitely many numbers that make this equation hold. For example:

[tex](x,y)=(69,-287.25) \\ (x,y)=(1,69.75) \\ (x,y)=(7,38.25)[/tex]

This could go on forever, so your question does not have a right answer.

Answer:  E

Step-by-step explanation:

4 x 4 = 16

7 x 7 = 49

16 + 49 = 65

8.062 is the square root of 65.

Round 8.062 I guess you could round it to 9 but I believe the actual answer should be 8.

Answer:

All are good ideas for a frequency chart.

But not 100% sure on A and C

The meaning and equivalent of the word phrase; seven-tenths of half a century as given in the task content is; 35 years.

According to the task content, it follows that the meaning and equivalent of seven-tenths of half of a century is to be determined.

On this note, since it follows from place value that seven-tenths means; 7 × (1/10) = 7/10.

Also, since half a century means; (1/2) × 100 years = 50 years.

Ultimately, the word phrase given in the task content is equivalent to;

= (7/10) × 50 years.

= 35 years.

Ultimately, the meaning and equivalent of the word phrase; seven-tenths of half a century as given in the task content is; 35 years.

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P(A) = 4 / 20, this is the probability that a customer has enough cash

P (B) =16 / 20, this is the probability that a customer has a credit card.

P (A and B) = 3 / 20, this is the probability that a customer has enough cash and a credit card.

The probability that a customer has enough cash or a credit card is 0.85.

Probability is defined as the ratio of favorable outcomes to a total number of outcomes.

It is given that, 20 customers are eating dinner at a local restaurant.

The total number of customers = 20

Of the 20 customers,

4 have enough cash to pay for their meal

16 have a credit card and

3 have enough cash and a credit card.

Event A is the probability that a customer has enough cash

Event B is the probability that a customer has a credit card.

P(A) = 4 / 20 = 1 / 5, this is the probability that a customer has enough cash

P (B) =16 / 20 = 4 / 5, this is the probability that a customer has a credit card.

P (A and B) = 3 / 20, this is the probability that a customer has enough cash and a credit card.

To find the probability that a customer has enough cash or a credit card :

The formula used is P(A or B) = P(A) + P(B) - P(A∪B)

P (A or B) = P(A) + P(B) - P (A and B)

                = 4 / 20 + 16 /20 - 3 / 20

                = 17 / 20

                = 0.85

Therefore, The probability that a customer has enough cash or a credit card is 0.85.

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The expression to find the temperature at the end of the day is Morning temperature + (Change in temperature) and we get the temperature as -24 degree Fahrenheit.

Given,

The Morning temperature = 15°F

Change in temperature during day time = fall by 39 degree Fahrenheit

The temperature of the end of the day:

Morning temperature + (change in temperature)

Fall by 39° = decrease in temperature by 39° = - 39°

Therefore,

Substitute the values in the expression:

That is,

15°F + (-39°F)

15°F - 39°F

= - 24°F

Therefore, the expression to find the temperature at the end of the day is Morning temperature + (Change in temperature) and we get the temperature as -24 degree Fahrenheit.

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In the Law of Syllogism , Long sentences and phrases can occasionally be perplexing and written imprecisely at first glance.

What is the purpose of a syllogism?

Long sentences and phrases can occasionally be perplexing and written imprecisely at first glance.

Therefore, using symbols to denote various statements is quite helpful.

because the number of various statements we have and the relationship between them will then be much more obvious.

To put it another way, it would be simpler to decide which logical law to apply to a certain issue.

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The inverse function of  f(x) = √x + 2 would be f⁻¹(x) = x² - 2.

The domain of the function would be {x ∈ R, x ≥ −2}.

The range would be {y ∈ R, y ≥ 0}.

The inverse function returns the original value for which the output of a function was given. When it comes to functions, f and g are inverse, with f(g(x)) = g(f(x)) = x. A function that is made up of its inverse returns the original value.

Considering f(x) = y, to find the inverse function, the x and y values are switched giving the new equation of

x = √y + 2

Simplifying the above equation, we get

x - 2 = √y

x² - 2 = y

x² - 2 = y is the inverse of the function f(x)=√x+2

The domain of the function would be all x, such that x + 2 ≥ 0, or x ≥ −2.

Hence it is {x∈R, x ≥ −2}

For range, consider y =√x + 2.

Since√x+2 ≥ 0, it is obvious that y ≥ 0.

The range would be {y ∈ R, y ≥ 0}

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