Answer: x= \(-\frac{7}{2} = -3 \frac{1}{2} = -3.5\)
Step-by-step explanation:
−(7−2x)+7=−7
To find the opposite of 7−2x, find the opposite of each term.
−7−(−2x)+7=−7
The opposite of −2x is 2x.
−7+2x+7=−7
Add −7 and 7 to get 0.
2x=−7
Divide both sides by 2.
\(x = \frac{-7}{2}\)
Fraction −7/2 can be rewritten as −2/7 by extracting the negative sign.
\(x = -\frac{7}{2}\)
1/3 divided by 5/8 what is the answer
Answer:
8/15 in fraction form
0.53 repeating in decimal form
Step-by-step explanation:
1/3 divided by 5/8 =
1/3 *8/5 =
1*8 over 3*5 = 8/15
Answer: 8/15
0.5333 continued
Step-by-step explanation:
1/3=0.333 continued
5/8=0.625
0.333 continued/0.625=0.5333 continued
or 0.5333 continued
The following trial balance of Reese Corp. at December 31, 2014 has been properly adjusted except for the income tax expense adjustment. Reese Corp. Trial Balance December 31, 2014 Dr. Cr. Cash $ 775,000 Accounts receivable (net) 2,695,000 Inventory 2,085,000 Property, plant, and equipment (net) 7,566,000 Accounts payable and accrued liabilities $ 1,701,000 Income taxes payable 654,000 Deferred income tax liability 85,000 Common stock 2,350,000 Additional paid-in capital 3,680,000 Retained earnings, 1/1/14 3,450,000 Net sales and other revenues 13,560,000 Costs and expenses 11,180,000 Income tax expenses 1,179,000 $25,480,000 $25,480,000 07. The current assets total is: A. $6,080,000 C. $5,405,000 B. $5,555,000 D. $4,955,000
The current assets total for Reese Corp. on December 31, 2014, is B. $5,555,000.
What are the current assets?The current assets are Cash and Cash Equivalents (Marketable Securities), Accounts Receivable, Inventory, and Prepaid Liabilities (Expenses).
The current assets are the short-term portion of the total assets.
The current assets show Reese Corp.'s short-term liquidity and the company's ability to meet its short-term obligations (current liabilities), especially to suppliers, vendors, and other short-term creditors.
Data and Calculations:Reese Corp.
Trial Balance
December 31, 2014
Dr. Cr.
Cash $ 775,000
Accounts receivable (net) 2,695,000
Inventory 2,085,000
Property, plant, and equipment (net) 7,566,000
Accounts payable and accrued liabilities $ 1,701,000
Income taxes payable 654,000
Deferred income tax liability 85,000
Common stock 2,350,000
Additional paid-in capital 3,680,000
Retained earnings, 1/1/14 3,450,000
Net sales and other revenues 13,560,000
Costs and expenses 11,180,000
Income tax expenses 1,179,000
$25,480,000 $25,480,000
Current Assets:Cash $ 775,000
Accounts receivable (net) 2,695,000
Inventory 2,085,000
Total current assets = $5,555,000
Thus, the current assets total for Reese Corp. on December 31, 2014, is B. $5,555,000.
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I need help…………………………………
The position of a particle moving along the x-axis is given by a twice-differentiable function x(t). If x(2) < 0, x'(2) < 0, and x''(2) <0, which of the following statements must be true about the particle at time t=2?
a. The particle is moving toward the origin at a decreasing speed.
b. The particle is moving toward the origin at an increasing speed.
c. The particle is moving away from the origin at a decreasing speed.
d. The particle is moving away from the origin at an increasing speed.
e. The particle is moving away from the origin at a constant speed.
Answer:
c cuz differential of position is velocity, velocity is negative so moving away, differential of velocity is acceleration, negative acc is decreasing velocity
In a class of 80 students,40 study physics,48study mathematics and 44 study chemistry,20 study physics and mathematics,24 study physics and chemistry and 32 study only two of the three subjects.Of every student studies at least one of the three subjects.Find ; 1.The number of students who study all the three subjects.2.The number of students who study only mathematics and chemistry.
Answer:
80+40+44-20÷24+32 ♡♡♡
Using set operations,
1.The number of students who study all the three subjects = 10
2.The number of students who study only mathematics and chemistry = 8
What are set operations?Set operations are the operations that are applied on two or more sets to develop a relationship between them. There are four main kinds of set operations which are as follows.
Union of setsIntersection of setsComplement of a setRelative ComplementLet mathematics = M, physics = P, chemistry = C.
n(M∪P∪C) = 80
n(M) = 48
n(P) = 40
n(C) = 44
n(M∩P) = 20
n(M∩C) = ?
n(C∩P) = 24
n(M∩P) + n(M∩C) + n(C∩P) - 3n(C∩P∩M) = 32
20 + n(M∩C) + 24 - 3n(C∩P∩M) = 32
n(M∩C) = 3n(C∩P∩M) - 12 - *
We know,
n(M∪P∪C) = n(M) + n(P) + n(C) - n(M∩P) - n(M∩C) - n(C∩P) + n(C∩P∩M)
80 = 48 + 40 + 44 - 20 - n(M∩C) - 24 + n(C∩P∩M)
n(M∩C) = n(C∩P∩M) + 8 - **
Equating * and **,
n(C∩P∩M) + 8 = 3n(C∩P∩M) - 12
2n(C∩P∩M) = 20
n(C∩P∩M) = 10
putting the value of n(C∩P∩M) in *
n(M∩C) = 18
n(M∩C) - n(C∩P∩M) = 8
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Write an expression that is equal to 8 using only four 3s and any number of math symbols
Answer:
(3 × 3) - (3 ÷ 3) = 8
Step-by-step explanation:
We want to find an expression that when solved will be equal to 8.
But we are restricted to using only the number "3" four times with any Maths operation.
Thus let's try;
(3 × 3) - (3 ÷ 3) = 9 - 1 = 8
Quadrilateral MNPQ is rotated at 90 degrees counterclockwise about the origin and then rotated 270 degrees counterclockwise about the origin
After the double rotation, the vertices of the quadrilateral MNPQ are transformed to M'', N'', P'', and Q''. The shape of the quadrilateral may have changed, but the order of the vertices remains the same.
When a quadrilateral MNPQ is rotated counterclockwise at 90 degrees about the origin, each vertex undergoes a transformation.
The new positions of the vertices after this rotation can be denoted as M', N', P', and Q'. The order of the vertices remains the same.
Next, when the rotated quadrilateral M'N'P'Q' is further rotated counterclockwise at 270 degrees about the origin, each vertex undergoes another transformation.
The new positions of the vertices after this rotation can be denoted as M'', N'', P'', and Q''. Again, the order of the vertices remains the same.
It's important to note that a 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation.
The result of the double rotation is equivalent to a single clockwise rotation of 90 degrees.
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the sum of a digit of a 2 digit number is one what is the number
The number which has 2 digits which when added would give a sum of one is 10.
How to find the number ?The two digit number is said to be such that when the two digits in it are added, the sum would be 1. We can therefore infer that at least one of the digits would be 1 because 1 is the smallest number that can be added to another number to give 1.
The second digit can then be found by using the formula :
1 + x = 1
Here, x would be the second digit which is:
1 + x = 1
x = 1 - 1
x = 0
The 2 digit number is therefore 10.
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The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it.
The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it which is true.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
Similar polygons are those whose perimeter ratios are identical to their respective scale factors. The common fraction of the sizes of two matching sides of two identical polygons is known as a scale factor.
The given statement is true.
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Alesha went to the movies. A popcorn is $3 more than a soda. She purchased 1 popcorn and 2 sodas. She spent $21. How much is a popcorn?
Answer: a popcorn is $9
Step-by-step explanation:
soda is $6
1/3 divided by 3 1/2
Answer:
2/21
Step-by-step explanation:
Select the correct answer.
Evaluate the following expression when x = -4 and y = 4.
x
6
−
x
4
y
A.
1
,
025
4
B.
1
,
023
4
C.
16
,
385
4
D.
−
1
,
023
4
Answer:
1023/4
Step-by-step explanation:
shown in the picture
any jus want to help with this? i attached the picture
1. The difference in the distance of Jupiter from the sun than Mercury will be 4.816.
2. The difference in the distance of Neptune from the sun than Mars will be
3. The greatest distance between Earth and Uranus is Uranus.
4. The greatest distance between Venus and Saturn is Saturn
How to calculate the distance?From the information, the average distance from the sun to each planets have been given. The difference in the distance of Jupiter from the sun than Mercury will be:
= 5.203 - 0.387
= 4.816
The difference in the distance of Jupiter from the sun than Mars will be:
= 30.07 - 1.524
= 28.546
The greatest distance between Earth and Uranus is Uranus and the greatest distance between Venus and Saturn is that of Saturn.
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A Realtor claims that no more than half of the homes he sells are sold for less than the asking price. When reviewing a random sample of 14 sales over the past year, he found that actually 10 were sold below the asking price.
Required:
a. The assumption of normality is justified.
b. Calculate a p-value for the observed sample outcome, using the normal distribution.
c. At the 0.05 level of significance in a right-tailed test, is the proportion of homes sold for less than the asking price greater than 50%?
Andrés desea comprar una computadora y se encuentra qué hay una de escritorio y una portátil con los colores, rojo,azul,verde,rosado y gris ¿cuántas formas tendrá Andrés para comprar la computadora
5 possibilities (red, blue, green, pink, or grey) divided by 2 options (desktop or laptop) is 10. Andrés has ten options for purchasing the computer.
what is probability ?The likelihood or chance of an event occurring is measured by probability. It is a number between 0 and 1, where 0 denotes an impossibility and 1 denotes a certainty for the event.By dividing the entire number of possible outcomes by the number of ways an event could occur, one can determine the probability of an occurrence. Since there is only one way to roll a 3 out of six possible outcomes, the probability of rolling a 3 on a fair six-sided die is 1/6. Probability can be used to assess uncertainty surrounding an occurrence and create predictions. It is utilised in a variety of industries, including banking, science, engineering, mathematics, and statistics.
given
Andrés can either get a desktop computer or a laptop. He has five options for the colour of the computer for each selection.
As a result, Andrés has the following options for purchasing the computer:
5 possibilities (red, blue, green, pink, or grey) divided by 2 options (desktop or laptop) is 10. Andrés has ten options for purchasing the computer.
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The complete question is:- Andrés wants to buy a computer and finds that there is a desktop and a laptop with the colors red, blue, green, pink and gray. How many ways will Andrés have to buy the computer?
What is the algebraic rule for a translation that moves the points right 4 units and down 3 units?
Answer: (x,y) —> (x+4, y-3)
it could also be T 4, -3 (x,y)
Step-by-step explanation:
If you move something right 4, x+4. Moving something down 3 is y-3.
the general form is always (x,y) —> (x + (whatever)), y + (whatever))
Or T whatever, whatever (x,y)
The first (whatever) is applied to x, second is for y.
hopes this helps
For f(x) = 3x+1 and g(x) = x2 - 6, find (F/g)
Answer: \(\frac{3x+1}{x^{2}-6}\)
Step-by-step explanation:
(f/g) represents the division of function f by function g.
A Farmer has a field in the shape of a semicircle.
A Sketch of the field is shown.
The farmer asks a builder to raise a fence around the edge of the field. He gets the following quotation
Total Cost=£32.65 per metre of fence +£150 for each day's wrok
The builder estimates that it will take five days to build the fence
Work out the total cost.
Answer:
32.65(70)+150(5)= 3035.5
Step-by-step explanation:
Answer:
Final answer = £6625.69
How to use Pascal’s triangle to find x^2 using the difference quotient formula
Using Pascal's triangle and the difference quotient formula, we expand (x + h)^2 and simplify the expression to (2hx + h^2) / h. As h approaches 0, the term h becomes negligible, and we are left with 2x, which represents the derivative of x^2.
To use Pascal's triangle to find x^2 using the difference quotient formula, we can follow these steps:
1. Write the second row of Pascal's triangle: 1, 1.
2. Use the coefficients in the row as the binomial coefficients for (x + h)^2. In this case, we have (1x + 1h)^2.
3. Expand (x + h)^2 using the binomial theorem: x^2 + 2hx + h^2.
4. Apply the difference quotient formula: f(x + h) - f(x) / h.
5. Substitute the expanded expression into the formula: [(x + h)^2 - x^2] / h.
6. Simplify the numerator: (x^2 + 2hx + h^2 - x^2) / h.
7. Cancel out the x^2 terms in the numerator: (2hx + h^2) / h.
8. Divide both terms in the numerator by h: 2x + h.
9. As h approaches 0, the term h becomes negligible, and we are left with the derivative of x^2, which is 2x.
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if you have 3/4 cup of flour how many eighths do you have?
Answer:
You have and you want to know how many eighths you have
You need to have the denominator to eighths to find out correctly
So 4 times 2 equals 8 but what you do one side (denominator/bottom) has to be done on the other side (numerator/top) to make it the equal value of the original fraction
So ×≈
So that means that you have 6, eighths
Answer: You have 6 eights of flour
Step-by-step explanation:
Annette has 3 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same distance to cool down. If she runs at a speed of 9mph and walks back at a speed of 3mph , how long should she plan to spend walking back?
Answer:
Annette should plan to spend 2.25 hours walking back.
Step-by-step explanation:
To solve this problem, we can use the formula:
Time = Distance / Speed
Let's assume the distance of the race is D miles.
Annette spends her time running the distance of the race, which takes:
Time running = D / 9 hours
She then walks back the same distance, which we need to find the time for:
Time walking = D / 3 hours
Since Annette has a total of 3 hours for her training, the sum of the running time and walking time should equal 3 hours:
D / 9 + D / 3 = 3
To simplify the equation, we can multiply all terms by 9 to eliminate the denominators:
D + 3D = 27
Combining like terms:
4D = 27
Dividing both sides of the equation by 4:
D = 6.75
So, the distance of the race is 6.75 miles.
To find the time Annette should spend walking back, we substitute the distance into the time-walking formula:
Time walking = D / 3 = 6.75 / 3 = 2.25 hours
Therefore, Annette should plan to spend 2.25 hours walking back.
Given the function below, find value (s) of x if f(x)=7
Explanation:
f(x) and y are often used interchangeably. We are asked to find the x value(s) when y = 7.
Circle the rows where 7 shows up in the y column. You should find that x = -1 and x = 1 are circled as well.
So f(x) = 7 leads to x = -1 or x = 1. In other words, f(-1) = 7 and f(1) = 7 also.
For the function given the value of x can be two, one is 1 and the other one is -1 if the f(x)=7
What is a Function?
A function relates an input to an output means it is a kind of relationship between the variable y and x. It is denoted through f(x).
What is a Variable?A variable is defined as a quantity that may assume any one of a set of values.
How to find the value of x in a function?
In the question the function is given as:
Function is denoted through f(x) and f(x) shows the value of x. We know that the value of f(x)=7 which is given in the question. So we will take the value of x in the front of 7 which is written in the y column. We have got two values in this which are 1 and -1. So they both will be the values of x.
Hence the value of x for the function given in the question are -1 and 1
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Select a box to identify whether each equation has no solution, one solution, or infinitely many solutions.
No Solution
One Solution
Infinitely Many Solutions
- 2x + 3 = - 3x + 2
- 2x + 3= - 2x + 3
OO
- 2x + 3 = 2x + 3
Answer:
First Equation: One Solution
Second Equation: Infinite Solutions
Third Equation: One Solution
Step-by-step explanation:
Let's solve these equations step by step.
\(-2x+3=-3x+2\\\)
Subtract 2 and add 2x
\(1=-x\\x=-1\)
The only solution here is -1.
\(-2x+3=-2x+3\)
Anytime the equations are the same on both sides, we have infinite solutions.
Add 2x
\(3=3\)
Any value of x will satisfy this equation.
\(-2x+3=2x+3\)
Add 2x and subtract 3
\(4x=0\\x=0\)
The only solution here is 0.
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Does this graph represent a function? Why or why not?
Answer:
The graph represents a function
Step-by-step explanation:
As you can observe, there is only one unique output assigned to every input. If an input contained 2 or more outputs, the relationship wouldn't be a function.
Answer:
Yes
Step-by-step explanation:
Draw vertical lines parallel to the "y" axis and you will notice that they only cross the graph once. This only happens in function graphs.
Hope this helps
what does this mean on my report card i found it does it mean a good thing or bad thing can you please explain.
Answer:
It means Progressing
In Progress
Step-by-step explanation:
25. Angie inherits a collection of 4213 antique duck-calls from her grandmother. If she goes around to yard sales and adds another 3 duck-calls to the collection every weekend, what's an equation that models her total collection?
A) y = 3x
B) y= 3x - 4213
C) y= 3x + 4213
D) y = 4213x+ 3
Answer:
C
Step-by-step explanation:
Angie already has a fixed number of antiques - 4213 antiques. the rate of increase of ducks would depend on the number of weekends. this is the variable number of antiques
thus the equation is :
y = 4213 + 3x
A line segment AB has the coordinates A (2,3) AND B ( 8,11) answer the following questions (1) What is the slope of AB? (2) What is the length of AB? (3) What are the coordinates of the mid point of AB?(4) What is the slope of a line perpendicular to AB ?
Answer:
1. Slope: \(m = \frac{4}{3}\)
2. Distance: \(AB = 10\)
3. Midpoint: \(M = (5,7)\)
4. Slope of perpendicular line: \(m_2 = -\frac{3}{4}\)
Step-by-step explanation:
Given
\(A = (2,3)\)
\(B = (8,11)\)
Solving (1): Slope of AB
Slope (m) is calculated as follows:
\(m = \frac{y_2 - y_1}{x_2 - x_1}\)
Where:
\(A = (2,3)\) --- \((x_1,y_1)\)
\(B = (8,11)\) --- \((x_2,y_2)\)
So, we have:
\(m = \frac{11 - 3}{8 - 2}\)
\(m = \frac{8}{6}\)
\(m = \frac{4}{3}\)
Solving (2): Length AB
This is solved by calculating the distance of AB using the following formula.
\(AB=\sqrt{(x_1-x_2)^2 + (y_1 - y_2)^2}\)
Where:
\(A = (2,3)\) --- \((x_1,y_1)\)
\(B = (8,11)\) --- \((x_2,y_2)\)
So:
\(AB = \sqrt{(2-8)^2 + (3 - 11)^2}\)
\(AB = \sqrt{(-6)^2 + (-8)^2}\)
\(AB = \sqrt{36 + 64}\)
\(AB = \sqrt{100}\)
\(AB = 10\)
Solving (3): Midpoint of AB.
Midpoint, M is calculated as follows:
\(M = \frac{1}{2}(x_1+x_2, y_1 + y_2)\)
Where
\(A = (2,3)\) --- \((x_1,y_1)\)
\(B = (8,11)\) --- \((x_2,y_2)\)
So:
\(M = \frac{1}{2}(2+8,3+11)\)
\(M = \frac{1}{2}(10,14)\)
\(M = (5,7)\)
Solving (4): Slope of line perpendicular to AB
The relationship between the slopes of two perpendicular lines is:
\(m_2 = -\frac{1}{m_1}\)
Where
\(m_1\) represents the slope of AB
\(m_1 = \frac{4}{3}\)
So:
\(m_2 = -1/\frac{4}{3}\)
\(m_2 = -1*\frac{3}{4}\)
\(m_2 = -\frac{3}{4}\)
Figure 1 has vertices (-3, 4), (-1, 3), (-3, 1), and (-5, 2). Rotate it 180° to form Figure 2.
Give the coordinates for the vertices of Figure 2.
4. An equilateral triangle has a perimeter of 24 feet. A circle is constructed with a diameter equal to one side of the triangle. What is the area of this circle in square feet? Hint: Equilateral triangles have 3 equal sides!
If an equilateral triangle has a perimeter of 24 feet. the area of the circle is approximately 50.27 square feet.
How to find the area?Since the perimeter of the equilateral triangle is 24 feet, each side has a length of 8 feet (since all three sides are equal).
The diameter of the circle is equal to the length of one side of the equilateral triangle, which is 8 feet. Therefore, the radius of the circle is half the diameter, which is 4 feet.
The area of a circle is given by the formula:
A = πr^2
where A is the area and r is the radius.
Plugging in the value of the radius, we get:
A = π(4 feet)^2
A = 16π square feet
A ≈ 50.27 square feet (rounded to two decimal places)
Therefore, the area of the circle is approximately 50.27 square feet.
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A $65 drone is on sale for $51.35. What is the percent of discount?
Answer:
20% off
Step-by-step explanation:
Answer:
21%
Step-by-step explanation:
To calculate the percentage discount between two prices, follow these steps:
Subtract the post-discount price from the pre-discount price.
Divide this new number by the pre-discount price.
Multiply the resultant number by 100.
$51.35-65=13.65
13.65/65= -0.21
-0.21*100=-21