Order these from least to greatest.

Answer:

Step-by-step explanation:

I understand your confusion. Let's go through the steps together to solve the equation correctly:

Given equation: 5 + x - 12 = 2x - 7

Combine like terms on the left side and the right side of the equation:

x - 7 = 2x - 7

Now, let's isolate the variable x. Subtract x from both sides of the equation:

x - x - 7 = 2x - x - 7

Simplifying:

-7 = x - 7

Next, add 7 to both sides of the equation:

-7 + 7 = x - 7 + 7

Simplifying:

0 = x

Therefore, the solution to the equation is x = 0.

If you need to use the values x = -4, 0, and 5, you can substitute each value into the original equation to check if it satisfies the equation. Let's do that:

For x = -4:

5 + (-4) - 12 = 2(-4) - 7

-11 = -15 - 7

-11 = -22

The equation is not satisfied for x = -4.

For x = 0:

5 + 0 - 12 = 2(0) - 7

-7 = -7

The equation is satisfied for x = 0.

For x = 5:

5 + 5 - 12 = 2(5) - 7

-2 = 3

The equation is not satisfied for x = 5.

Therefore, the correct solution to the equation is x = 0. The values x = -4 and x = 5 do not satisfy the equation.

Answer:

she mixed up the slope and y- intercept in step 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

she correctly calculated the slope as m = - 4 and the y- intercept b = - 3

thus equation she should have is

y = - 4x - 3

Brooke's error was that she found the incorrect slope in step 1.  

The slope formula is:  m = (y₂ - y₁) / (x₂ - x₁)  

Using the given points:  m = (13 - 25) / (-4 - (-7))  m = -12 / 3  m = -4  

So, the slope is -4, not -12/3 as Brooke calculated in step 1.  

The correct equation for the line passing through the points (-7, 25) and (-4, 13) is: y = -4x - 3 (as found in step 3)

Answer:

Step-by-step explanation:

n=30

r=12

Plug into formula

you get:

1.7 in²

Answer:

Step-by-step explanation:

To find the maximum width of an aircraft seat that will accommodate 98% of all adult women, we need to determine the corresponding z-score for the 98th percentile of the normal distribution.

First, we find the z-score corresponding to the 98th percentile using a standard normal distribution table or calculator. The z-score for the 98th percentile is approximately 2.05.

Next, we use the z-score formula to find the corresponding value in the original distribution:

z = (x - μ) / σ

Solving for x (the maximum width of the aircraft seat):

x = z * σ + μ

Substituting the values given:

x = 2.05 * 4.36 + 37.6

x ≈ 45.98

Therefore, the maximum width of an aircraft seat that will accommodate 98% of all adult women is approximately 46 cm (rounded to one decimal place).

Answer:

$248.00

Step-by-step explanation:

Hours worked on Friday:  6 hr and 30 min = 6.5 hr

Money earned on Friday:  $15.5/hr x 6.5 hr = $100.75

Hours worked on Saturday:  6.5 hr - 1.167 hr = 5.33   *10 min = 10/60 = 0.1667 hr

Money earned on Saturday:  $15.50 x 5.33 hr = $82.67

Hours worked on Monday:  4.167 hr

Money earned on Monday:  $15.50/hr x 4.167 hr = $64.58

Total money made:  100.75 + 82.67 + 64.58 = $248.00

The correct value of volume of the pyramid is 48 cubic inches.

To find the volume of the solid oblique pyramid, we can use the formula V = (1/3) * Base Area * Height. The base of the pyramid is a triangle, and the height is given as 6 inches.The formula for the area of a triangle is (1/2) * base * height. In this case, the base length is 8 inches and the height is 6 inches. Base Area = (1/2) * 8 * 6 = 24 square inches

Now, we can calculate the volume of the pyramid:

V = (1/3) * Base Area * Height

V = (1/3) * 24 * 6

V = 48 cubic inches

Therefore, the volume of the pyramid is 48 cubic inches.

None of the provided options (a, b, c, d) match the calculated volume of 48 cubic inches. Please double-check the given options or provide the correct options for further comparison.

Learn more about volume here:

https://brainly.com/question/27710307

#SPJ8

Answer:

  (c)  y = 2b/(2a -c)x -2bc/(2a -c)

Step-by-step explanation:

Given the equation of line BD in point-slope form you want the simplified equation.

  y -0 = (2b/(2a -c))(x -c)

The equation is simplified by using the distributive property to eliminate parentheses.

  [tex]y-0=\dfrac{2b}{2a-c}(x -c)\\\\\\y=\dfrac{2b}{2a-c}x-\dfrac{2b}{2a-c}c\\\\\\\boxed{y=\dfrac{2b}{2a-c}x-\dfrac{2bc}{2a-c}}\qquad\text{matches choice C}[/tex]

<95141404393>

The equation to determine the initial amount of money Cecilia had is x = 0.

Let's denote the initial amount of money Cecilia had as "x" dollars.

According to the given information, Cecilia spent one-fourth (1/4) of her money on a book, which is (1/4)x dollars. After buying the book, she had (x - (1/4)x) dollars left.

Next, Cecilia spent half (1/2) of the remaining money on a comic, which is ((1/2)x - 8) dollars. After buying the comic, she had ((x - (1/4)x) - ((1/2)x - 8)) dollars remaining.

Since she had $8 left, we can set up the equation:

((x - (1/4)x) - ((1/2)x - 8)) = 8

To simplify the equation, we can first combine like terms:

(x - (1/4)x - (1/2)x + 8) = 8

Now, let's solve the equation step by step:

(x - (1/4)x - (1/2)x + 8) = 8

Multiplying the fractions by their common denominator, which is 4, we get:

(4x - x - 2x + 32) = 32

Simplifying further:

(x + 32) = 32

Subtracting 32 from both sides:

x = 0

Therefore, the equation to determine the initial amount of money Cecilia had is x = 0.

for such more question on initial amount

https://brainly.com/question/17438795

#SPJ8

Answer:

I can't understand the language but try people who can

The height of a person whose length of forearm is 24.5 cm is equal to 163.38 centimeters.

In this exercise, we would plot the length of forearm on the x-axis of a scatter plot while height would be plotted on the y-axis of the scatter plot through the use of Microsoft Excel.

On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display a linear equation for the line of best fit on the scatter plot;

y = 3.01x + 89.63

Based on the equation of the line of best fit above, the height of a person whose length of forearm is 24.5 cm can be determined as follows;

y = 3.01x + 89.63

y = 3.01(24.5) + 89.63

y = 163.375 ≈ 163.38 centimeters.

Read more on scatter plot here: brainly.com/question/28605735

#SPJ1

Answer:

60%

Step-by-step explanation:

To find percent error, use the following equation:

Percent error = [tex]\frac{prediction-actual}{actual}[/tex]×100

=[tex]\frac{16-10}{10}[/tex]

=[tex]\frac{6}{10}[/tex]×100

=0.6×100

Drake's percent error is 60%.

Answer:

$150

Step-by-step explanation:

Original Savings (Year 0): $1,000

Convert Interest rate into a decimal: 3 / 100 = 0.03

therefore the interest rate is 1.03

How much will be added each year?

5 years = $30 x 5 = $150

Final sum: $1,000 x $150 = $1,150

Suzy will have $1,150 in her account at the end of a five year period.

The antiderivative of ∫[[tex]x^\frac{1}{11}[/tex] - 7sin(x)]dx is:

[tex](11/12)x^\frac{12}{11} - 7cos(x) + C[/tex]

The indefinite integral, denoted as ∫f(x)dx, represents the antiderivative of a function f(x). It involves finding a function whose derivative is equal to the given function f(x).

Let's evaluate the indefinite integral of [tex]\int [x^\frac{1}{11} - 7sin(x)]dx[/tex]

To find the antiderivative of [tex]x^\frac{1}{11}[/tex], we add 1 to the exponent and divide by the new exponent:

[tex]\int x^\frac{1}{11} dx = (11/12)x^\frac{12}{11} + C_1[/tex], where C₁ is the constant of integration.

∫7sin(x)dx:

To find the antiderivative of 7sin(x), we use the trigonometric identity that the antiderivative of sin(x) is -cos(x):

∫7sin(x)dx = -7cos(x) + C₂, where C₂ is another constant of integration.

Combining the two results, the indefinite integral of [tex]\int[x^\frac{1}{11} - 7sin(x)]dx[/tex] is:

[tex](11/12)x^\frac{12}{11} - 7cos(x) + C[/tex],

where C = C₁ + C₂ represents the constant of integration.

Learn more on antiderivative here;

https://brainly.com/question/22008756

#SPJ1

a) Balance Sheet as of January 1, 2022: Total Assets: P1,750,000

b) Income Statement for the year ended December 31, 2022: Net Income: Operating Income - Tax Expense

c) Statement of Cash Flows for the year ended December 31, 2022: None (Assuming no financing activities are mentioned in the information)

a) Balance Sheet as of January 1, 2022:

Assets:

Cash: P1,000,000

Inventory (10 laptops * P50,000): P500,000

Delivery Equipment (less depreciation): P250,000

Total Assets: P1,750,000

Liabilities:

None (Assuming no liabilities are mentioned in the given information)

Owner's Equity: P1,750,000

Balance Sheet as of December 31, 2022:

Assets:

Cash: (Assuming no cash transactions are mentioned in the information)

Accounts Receivable (50% of P50,000): P25,000

Inventory (5 laptops * P50,000): P250,000

Delivery Equipment (less depreciation): P200,000

Total Assets: P475,000

Liabilities:

Accounts Payable (50% of P50,000): P25,000

Income Tax Payable: (50% of Operating Income)

Total Liabilities: P25,000 + Income Tax Payable

Owner's Equity: (Initial Owner's Equity + Net Income)

b) Income Statement for the year ended December 31, 2022:

Sales Revenue: 5 laptops * P50,000 = P250,000

Operating Expenses: P50,000

Operating Income: Sales Revenue - Operating Expenses

Tax Expense: (50% of Operating Income)

Net Income: Operating Income - Tax Expense

c) Statement of Cash Flows for the year ended December 31, 2022:

Cash Flows from Operating Activities:

Cash received from sales: (50% of P250,000)

Cash paid for operating expenses: P50,000

Tax payments: (50% of Tax Expense)

Cash Flows from Investing Activities:

Purchase of delivery equipment: P250,000

Cash Flows from Financing Activities:

None (Assuming no financing activities are mentioned in the information)

For more such questions on Balance sheet

https://brainly.com/question/25225110

#SPJ8

Answer:

Therefore, the cost of a pen is $2.30.

Step-by-step explanation:

Let's assign variables to represent the cost of a calculator and the cost of a pen.

Let c represent the cost of a calculator.

Let p represent the cost of a pen.

Based on the given information, we can form the following pair of simultaneous equations:

Equation 1: 4c + 2p = 20.60   (Mia buys 4 calculators and 2 pens for $20.60)

Equation 2: 5c + 3p = 26.90   (Heidi buys 5 calculators and 3 pens for $26.90)

To solve for the cost of a pen, we'll eliminate the variable c by multiplying Equation 1 by 5 and Equation 2 by 4. Then we'll subtract Equation 1 from Equation 2:

5 * (4c + 2p) = 5 * 20.60

4 * (5c + 3p) = 4 * 26.90

20c + 10p = 103.00

20c + 12p = 107.60

Subtracting Equation 1 from Equation 2:

(20c + 12p) - (20c + 10p) = 107.60 - 103.00

20c - 20c + 12p - 10p = 4.60

2p = 4.60

p = 4.60 / 2

p = 2.30

Therefore, the cost of a pen is $2.30.

Answer:

Let's assume that the cost of a calculator is x and the cost of a pen is y. Then we can write the following pair of equations:

4x + 2y = 20.60    (equation 1)

5x + 3y = 26.90    (equation 2)

To solve for the cost of a pen, we need to eliminate x from the equations. We can do this by multiplying equation 1 by 5 and equation 2 by -4, and then adding them:

(5)(4x + 2y = 20.60)  becomes  20x + 10y = 103    (equation 3)

(-4)(5x + 3y = 26.90) becomes -20x - 12y = -107.60    (equation 4)

Adding Equation 3 and Equation 4 gives:

-2y = -4.60

Divide both sides by -2:

y = 2.30

Therefore, the cost of a pen is $2.30.

Step-by-step explanation:

MARK ME BRAINLIST

The ordered pair given in the first row of the table can be written using function notation as (x, f(x)) = (-6, 8).

f(x) = -5 when x is 4.

In function notation, we represent the input value as 'x' and the corresponding output value as 'f(x)'.

Looking at the first row of the table, we see that when x is -6, the corresponding value of f(x) is 8.

Therefore, we can write this ordered pair as (-6, 8) in function notation.

Similarly, we can determine that f(x) = -5 when x is 4 by examining the second row of the table.

The value of f(x) is -5 when x is 4, so we can express it as f(4) = -5.

for such more question on function notation

https://brainly.com/question/23344689

#SPJ8

Hello!

V

= (18cm * 15cm * 6cm) + ((13cm - 6cm) * 15cm * 6cm)

= 1,620cm³ + 630cm³

= 2,250cm³

Answer:

B. Lenghts of the diagonals

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

parallel lines have the same gradient

Answer:

Step-by-step explanation:

I cannot see the graphs.

Answer: I'm pretty sure it's 13.

Step-by-step explanation: Hope this helped!!

Answer:

First, the graph is overall decreasing with two local maximums and two local minimums.

Second, it has 5 zeros, since there is one intersection and two touching points with the x-axis.

Considering the above observations we can state that:

Answer:

Step-by-step explanation:

To solve the equation (2/3)t - (1/5)t = 2 for t, we need to combine like terms and isolate the variable t. Here are the steps:

(2/3)t - (1/5)t = 2

To combine the fractions, we need to find a common denominator for 3 and 5, which is 15.

[(2/3)(5/5)]t - [(1/5)(3/3)]t = 2

(10/15)t - (3/15)t = 2

[(10 - 3)/15]t = 2

(7/15)t = 2

To isolate t, we can multiply both sides of the equation by the reciprocal of (7/15), which is (15/7).

[(7/15)t][(15/7)] = 2[(15/7)]

t = (2 * 15) / 7

t = 30/7

Therefore, the solution for t in the equation (2/3)t - (1/5)t = 2 is t = 30/7 or t ≈ 4.286.

The cost of 2.5 liters of petrol in the United Kingdom is £1.70. The cost of 1 US gallon of petrol in the United States is $3.30. £1 = $1.42 and 1 liter = 0.26 US gallons. So, is petrol cheaper in the United Kingdom or the United States.

Let's find out the cost of 2.5 liters of petrol in the United States dollars;Cost of 1 litre of petrol in the United Kingdom = £1.70/2.5 = £0.68Cost of 1 liter of petrol in the United States = $3.30/3.78 (as 1 US gallon = 3.78 liters) = $0.87We know that £1 = $1.42£0.68 = $0.68 x 1.42 = $0.96So, the cost of 1 liter of petrol in the United Kingdom is $0.96 (approximately)The cost of 1 liter of petrol in the United States is $0.87 (approximately)

Therefore, petrol is cheaper in the United States than the United Kingdom.

So, the answer is that petrol is cheaper in the United States than in the United Kingdom.

For more such questions on United Kingdom

https://brainly.com/question/28734617

#SPJ8

Answer:

23.6°

Step-by-step explanation:

The angle of depression, x, is congruent to the bottom right angle of the triangle.

sin x = opp/hyp

sin x = 100/250 = 0.4

x = sin^-1 0.4

x = 23.6°

Cara's first error occurred when she simplified the expression (negative 4) squared.

According to the order of operations (PEMDAS/BODMAS), exponentiation should be performed before any other operations. However, Cara incorrectly squared only the negative sign and not the entire number.

As a result, she obtained a value of positive 4 instead of 16.

To correct the error, Cara should have squared the entire value of -4. Squaring a negative number yields a positive result. Thus, (-4) squared is equal to 16. By failing to correctly apply this rule, Cara ended up with an incorrect value in her expression.

The correct evaluation of the expression should have been:

StartFraction 4 (7 minus 13) over 3 EndFraction + (negative 4) squared minus 2 (6 minus 2) = StartFraction 4 (-6) over 3 EndFraction + 16 minus 2 (4) = -8 + 16 - 8 = 0.

Therefore, Cara's first error was in incorrectly squaring only the negative sign and obtaining a value of 4 instead of 16.

For more such questions error,click on

https://brainly.com/question/28771966

#SPJ8

Answer:  [tex]x=200[/tex]

Step-by-step explanation:

    [tex]\frac{1}{5}x-\frac{2}{3}y=30[/tex]

[tex]\frac{1}{5}x-\frac{2}{3}(15)=30[/tex]

    [tex]\frac{1}{5}x-10=30[/tex]

            [tex]\frac{1}{5}x=40[/tex]

              [tex]x=\frac{40}{\frac{1}{5}}[/tex]

             [tex]x=40*\frac{5}{1}[/tex]

             [tex]x=200[/tex]