Part a) Total Cost
Total Cost for recapping the tires is the sum of fixed cost and the variable cost. i.e.
The total cost is ( $65,000 fixed) + (15,000 x $7.5)
=$65,000+$112,500
=$177,500
Part b) Total Revenue
Revenue from 1 tire = $25
Total tires recapped = 15000
So, Total revenue = 15000 tires x $25/tire
Total Revenue =$375,000
Part c) Total Profit
Total Profit = Revenue - Cost
Using the above values, we get:
Profit = $375,000 - $177,500
Profit = $197,500
Part d) Break-even Point
Break-even point point occurs where the cost and the revenue of the company are equal. Let the break-even point occurs at x-tires. We can write:
For break-even point
Cost of recapping x tires = Revenue from x tires
65,000 + 7.5 x = 25x
65,000 = 17.5 x
x = 3714 tires
Thus, on recapping 3714 tires, the cost will be equal to the revenue generating 0 profit. This is the break-even point.
LOOK AT PICTURE. GEOMETRY SOLVING FOR MISSING ANGLE
What are the solutions to the system of equations?
{ Y=2x^2-6x+3
{ y=x-2
Answer:
Step-by-step explanation:
x=1, y=-1
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
y = 2x² - 6x + 3 → (1)
y = x - 2 → (2)
Since both equations express y in terms of x we can equate the right sides, that is
2x² - 6x + 3 = x - 2 ( subtract x - 2 from both sides )
2x² - 7x + 5 = 0 ← in standard form
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × 5 = 10 and sum = - 7
The factors are - 2 and - 5
Use these factors to split the x- term
2x² - 2x - 5x + 5 = 0 ( factor the first/second and third/fourth terms )
2x(x - 1) - 5(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(2x - 5) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
2x - 5 = 0 ⇒ 2x = 5 ⇒ x = [tex]\frac{5}{2}[/tex]
Substitute these values into (2) for corresponding values of y
x = 1 : y = 1 - 2 = - 1 ⇒ (1, - 1)
x = [tex]\frac{5}{2}[/tex] : y = [tex]\frac{5}{2}[/tex] - 2 = [tex]\frac{1}{2}[/tex]
Solutions are (1, - 1) and ( [tex]\frac{5}{2}[/tex], [tex]\frac{1}{2}[/tex] )
What is the smallest positive integer that will make x^x > 500,000? What
is the largest negative integer that will make x^(-x) >500000?
Answer:
For [tex]x^x > 500,000[/tex] [tex]x=7[/tex]
For [tex]x^{(-x)} > 500,000[/tex] [tex]x=-7[/tex]
Step-by-step explanation:
We need to find the smallest positive whole number that satisfies the inequality:
[tex]x^x > 500,000[/tex]
We tested with x = 6
[tex]6^6=46,656[/tex]
[tex]46,656 > 500,000[/tex]
Inequality is not met because [tex]46,656 < 500,000[/tex]
We test with the following integer x = 7
[tex]7^7=823,543[/tex]
[tex]823,543 > 500,000[/tex]
Then the smallest positive integer that will make [tex]x^x > 500,000[/tex] is 7
Inequality is met.
In the same way the largest negative integer that will make [tex]x^{(-x)} >500000[/tex] is [tex]x=-7[/tex] Beacuse [tex]7^{-(-7)}=823,543[/tex]
Answer:
Smallest positive integer value for [tex]x^x>5000[/tex] is,
x = 7,
Largest negative integer value for [tex] x^{-x} >500000[/tex] is,
x = -8
Step-by-step explanation:
If [tex]x^x>500000[/tex]
∵ If x is a positive integer then the possible values of x = 1, 2, 3, 4, 5, 6, 7.....
Case 1 : If x < 7,
[tex]x^x < 500000[/tex]
Case 2 : If x ≥ 7,
[tex]x^x > 500000[/tex]
Hence, smallest positive integer value of x is 7.
Now, if [tex]x^{-x}>500000[/tex]
∵ If x is negative integer then the possible value of x = -1, -2, -3, -4,.....
Case 1 : if x is odd negative integer,
[tex]x^{-x} < 50000[/tex]
eg : -1, -3, -5, -7,...
Case 2 : If x is even negative integer then there are further two cases,
(i) x is more than or equal to -6,
[tex]x^{-x} < 500000[/tex]
eg x = -6, -4, -2,
(ii) x is less than -8,
[tex]x^{-x} > 50000[/tex]
eg : x = -10, -12, -14,...
Hence, the largest negative integer value that will make [tex]x^{-x}> 500000[/tex] is x = -8.
If A and B are two points in the plane , the perpendicular bisector of AB is the set of all points equidistant from A and B ? A True or False
Answer:
The correct option is A. The given statement is true.
Step-by-step explanation:
Given statement: If A and B are two points in the plane , the perpendicular bisector of AB is the set of all points equidistant from A and B.
Let a line is perpendicular bisector of AB at point D and C be a random point of perpendicular bisector.
In triangle ACD and BCD,
[tex]AD=BD[/tex] (Definition of perpendicular bisector)
[tex]\angle ADC=\angle BDC[/tex] (Definition of perpendicular bisector)
[tex]DC=DC[/tex] (Reflexive property)
By SAS postulate of congruence,
[tex]\triangle ACD\cong \triangle BCD[/tex]
The corresponding parts of congruent triangles are congruent.
[tex]AC\cong BC[/tex] (CPCTC)
[tex]AC=BC[/tex]
The distance between A to C and B to C are same. So, the set of all points on perpendicular bisector are equidistant from A and B.
The given statement is true. Therefore the correct option is A.
Final answer:
The statement is True because the perpendicular bisector is defined as the line that divides a line segment into two equal parts at its midpoint and is perpendicular to the segment, making all points on it equidistant from both endpoints of the segment.
Explanation:
The statement 'If A and B are two points in the plane, the perpendicular bisector of AB is the set of all points equidistant from A and B' is True. The definition of a perpendicular bisector is that it is a line which is perpendicular to another line segment (AB in this case) and divides it into two equal parts at its midpoint. Therefore, any point on the perpendicular bisector is equidistant from points A and B, which is a direct consequence of the definition.
This is further supported by Theorem 11, which states that if two equal lines in a plane are erected perpendicular to a given line, the line joining their extremities makes equal angles with them and is bisected at right angles by a third perpendicular erected midway between them, ensuring that any point on this third perpendicular (the perpendicular bisector) is equidistant from A and B.
The standard diameter of a golf ball is 42.67 mm. A golf ball factory does quality control on the balls it manufactures. Golf balls are randomly measured to ensure the correct size. One day, an inspector decides to stop production if the discrepancy in diameter is more than 0.002 mm. Which function could represent this situation?
Answer:
The function that could represent the situation is f(x) = |x - 42.67| > 0.002, where x and f(x) are in mm.Explanation:
That the discrepancy in diameter is more than 0.002 mm means that the difference between the measured diameter of a ball and the standard diameter is greater than 0.002.
That is:
Difference between the measured diameter and the standard diameter = absolute value of X - 42.67 mm = |X - 42.67 mm|Greater than 0.002 mm ⇒ |x - 42.67 mm| > 0.002 mmSo, the function is f(x) = |x - 42.67| > 0.002, where x and f(x) are in mm.
Answer:
First one is B f(x) = (42.67-x)
Second is 42.6668 mm, 42.673 (options b and d)
Hope this helps
Checked on edge
Alan's dogs have a total of 24 legs (l). If each dog has 4 legs, which equation gives the number of dogs (d) that Alan has?
Answer: 24/4=D
Step-by-step explanation:
24LEGS/4LEGS=6DOGS
Answer:
4d=24
Step-by-step explanation:
4(dogs)=24 legs
so the answer is 6 dogs (in case you need it)
Which line contains the point (1, -3)?
1. 4x-y=7 4 x − y = 7
2. 2x+5y=4 2 x + 5 y = 4
3. 7x-y=15 7 x − y = 15
4. x+5y=21
Answer:
4x - y = 7Step-by-step explanation:
Put the values of x = 1 and y = -3 to the equations of a line and check the equality:
1. 4x - y = 7
4(1) - (-3) = 4 + 3 = 7 CORRECT
2. 2x + 5y = 4
2(1) + 5(-3) = 2 - 15 = -13 ≠ 7
3. 7x - y = 15
7(1) - (-3) = 7 + 3 = 10 ≠ 15
4. x + 5y = 21
1 + 5(-3) = 1 - 15 = -14 ≠ 21
Which expression is equivalent to 6^-3?
6^3
3^6
3sqrt6
(1/6)^3
For this case we must find an expression equivalent to[tex]6 ^ {- 3}[/tex]
By definition of power properties we have to:
[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]
So, we can rewrite the given expression as:
[tex]6 ^ {3} = \frac {1} {6 ^ 3}[/tex]
This is equivalent to:
[tex](\frac {1} {6}) ^ 3[/tex]
Answer:
Option D
Answer:
The correct answer option is D. ( 1 / 6 ) ^ 3.
Step-by-step explanation:
We are given the following expression and we are to determine whether which of the given answer options is equivalent to this:
[tex] 6 ^ { - 3 } [/tex]
Rewriting this as a fraction to get:
[tex] \frac { 1 } { 6 ^ 3 } [/tex]
Therefore, the correct answer option is D. ( 1 / 6 ) ^ 3.
Erin and Jamie are collecting shells while the tide is out. Erin has 27 shells, and she has 9 more than Jamie. Write and equation for this situation and find how many shells Jamie has collected.
A. 27 = j + 9; Jamie collected 36 shells
B. 27 + 9 = j; Jamie collected 36 shells
C. 27 = j + 9; Jamie collected 18 shells
D. 27 = j – 9; Jamie collected 36 shells
Answer:
C.
Step-by-step explanation:
If Erin has 9 more shells than Jamie, then 27 minus 9 would be equivalent to the amount of shells Jamie has.
This can be represented by:
[tex]27-9=j[/tex]
Which can be rewritten as:
[tex]27=j+9[/tex]
by adding 9 to both sides.
To solve, subtract 9 from 27.
[tex]27-9=18[/tex]
Jamie has collected 18 shells.
Answer:
C. 27=j+9; Jamie collected 18 shells.
Step-by-step explanation:
First, you do is switch sides.
[tex]\displaystyle j+9=27[/tex]
Then, you subtract 9 from both sides.
[tex]\displaystyle j+9-9=27-9[/tex]
Simplify, to find the answer.
[tex]\displaystyle 27-9=18[/tex]
Therefore, Jamie got collected of 18 shells.
[tex]\huge \boxed{18}[/tex], which is our answer.
The correct answer is C.
What transformation maps rectangle QRST to rectangle
Q'R'S'T'?
Answer:
The shaped is being reflected.
Answer: Reflection
Step-by-step explanation:
When we look at the picture, the two rectangles QRST and Q'R'S'T' appears as the mirror images of each other , also the corresponding sides and angles are congruent.
The transformation that create a mirror image of the figure is known as reflection. It is a rigid transformation because it produces congruent shapes.
Therefore, the transformation maps rectangle QRST to rectangle Q'R'S'T' is reflection.
Which line contains the point (2,1)
4x-y=7
2x+5y=4
7x-y=15
X+5y=21
Answer:
4x - y = 7.
Step-by-step explanation:
We substitute for x and y and see if they fit.
4x - y = 7
4(2) - 1 = 7
So it is the first line.
Answer: First option.
Step-by-step explanation:
To find which line contains the point (2,1), we can substitute the coordinates into each equation of the line provided in the options:
First option:
[tex]4x-y=7\\4(2)-1=7\\7=7[/tex]
It contains the point (2,1)
Second option:
[tex]2x+5y=4\\2(2)+5(1)=4\\9\neq 4[/tex]
It does not contain the point (2,1)
Third option:
[tex]7x-y=15\\7(2)-1=15\\13\neq15[/tex]
It does not contain the point (2,1)
Fourth option:
[tex]x+5y=21\\2+5(1)=21\\7\neq 21[/tex]
It does not contain the point (2,1)
I need help please.
Answer:
= 9x³+ 0x²+0x -52....
Step-by-step explanation:
Descending powers means you start with highest power and then decrease.
In this expression the highest power is 3. We do not have any variable with power 2 and 1. So we will write it as:
9x³ - 52
= 9x³+ 0x²+0x -52....
For a line that goes through points (2,-2) and (1.-6), what is the equation
of the line in point-slope form?
Answer:
y + 2 = 4(x - 2)Step-by-step explanation:
[tex]\text{The point-slope form of an equation of a line:}\\\\y-y_1=m(x-x_1)\\\\m-slope\\(x_1,\ y_1)-point\ on\ a\ line\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\======================================[/tex]
[tex]\text{We have the points:}\ (2,\ -2)\ \text{and}\ (1,\ -6).\\\\\text{Substitute:}\\\\m=\dfrac{-6-(-2)}{1-2}=\dfrac{-4}{-1}=4\\\\y-(-2)=4(x-2)\\\\y+2=4(x-2)[/tex]
2 PUNTS
This circle is centered at the origin, and the length of its radius is 2. What is
the circle's equation?
Answer:
x^2 + y^2 = 4
Step-by-step explanation:
The center-radius form (formally called the standard form) of a circle is
(x-h)^2+(y-k)^2=r^2 where (h,k) is the center and r is the radius.
So if we replace (h,k) with (0,0) since the center is the origin and r with 2 since the radius is 2 we get:
(x-0)^2+(y-0)^2=2^2
Let's simplify:
x^2 + y^2 = 4
A dentist wants to find out how often her patients floss their teeth. Which samples are biased? Check all that apply. all her patients patients with no cavities patients younger than 18 every 20th patient every patient with braces
Answer:
all her patients patients with no cavities
patients younger than 18
every patient with braces
Step-by-step explanation:
when a sample is selected in a manner that some elements, in this case patients, of population have higher or lower probability of sampling then that sample is biased.
From given case, all the following are biased samples
all her patients patients with no cavities
patients younger than 18
every patient with braces
because they are non-random sample of a population in which all other elements were not equally likely to be chosen!
The dentist should avoid biased sampling methods.
Explanation:The biased samples in this case would be:
1. All her patients: This would only include the dentist's current patients, which may not be representative of the entire population.
2. Patients with no cavities: This would only include a specific subset of patients who do not have cavities, which may not be representative of the entire population.
3. Patients younger than 18: This would only include patients below the age of 18, which may not be representative of the entire population.
It is important to have a random and representative sample in order to make accurate conclusions about the population's flossing habits.
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Write the following as an expression.
I have 10 pounds of nuts worth $d per pound. What is the value of the nuts?
Answer:
$10d
Step-by-step explanation:
The unit price is $d per pound. It is a dollar amount divided by the number of pounds. If you multiply the unit price by pounds, then the units work out like this:
$/lb * lb = $
When you multiply the unit price in dollars per lb by lb, you get dollars.
In your case:
$d/lb * 10 lb = $10d
That value of the nuts is $10d.
what’s the value of y ?
hey! the value of y is 57
in the first quadrant you start at (4,5) and move 2 units down
Answer:
(4,3)
Step-by-step explanation:
asoming 4 is x and 5 is y down 2 turns 5 into 3
Start at the point (4,5). Moving 2 units down decreases the y-coordinate by 2, thus bringing you to the new point (4,3). Draw a graph to visualize this better.
Explanation:In the context of a grid in Mathematics, the first quadrant is where both x and y coordinates are positive. The given point starts at (4,5). If you move 2 units down, it means you are reducing the y-coordinate by 2 units. So, starting at (4,5) and moving 2 units down would land you at a new point, which will be (4,3).
To visualize this, you may want to draw a graph on an x-y axis and plot the points (4,5) and (4,3) to see how the position change looks.
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Can someone please help??
The table shows the number of animals ,by type ,at the petting zoo.
Only statement B is true, so you would select that as the answer.
We can check if statement A is true by finding the ratio of cows to all animals, which we do by finding the total number of animals, 5 + 3 + 2 + 6 = 16.
Then we can say that the ratio of cows to all animals is 2:16, which simplifies to 1:8, so statement A is false.
Statement B is just another way of saying that the ratio of rabbits to all animals is 3:8, so we can see if this is true by finding the ratio of rabbits to all animals. There are 6 rabbits, so it would be 6:16, which simplifies to 3:8. This means that statement B is true.
I hope this helps! Let me know if you have any questions :)
What is the scale factor of 24 18
Answer:
1.3 repeating or 4/3
Step-by-step explanation:
if you take 24 and divide it by 18 this is the answer you receive
Find an explicit rule for the nth term of the sequence. 7, 21, 63, 189, ...
Answer:
[tex]7 \times {3}^{n - 1} [/tex]
Step-by-step explanation:
using form:
[tex]a \times {r}^{n - 1} [/tex]
where a: starting number
where r: common ratio (in this case each next term is 3 times previous term)
The nth term of the sequence 7, 21, 63, 189,... is given by the explicit rule an = 7 × 3(n-1), which applies to a geometric sequence with a common ratio of 3.
Explanation:To find an explicit rule for the nth term of the sequence 7, 21, 63, 189,..., we notice that each term is three times the previous term. This indicates that the sequence is geometric with a common ratio of 3. The first term of the sequence (a1) is 7.
To find the nth term of a geometric sequence, the formula is an = a1 × r(n-1) where r is the common ratio. Plugging in the values for our sequence, we get the nth term as an = 7 × 3(n-1).
This gives us the explicit rule for the nth term of the given sequence, which allows us to calculate any term in the sequence based on its position, n.
Where an represents the nth term of the sequence and an-1 represents the previous term.
For example, if we want to find the 5th term of the sequence, we can use the formula:
a5 = a4 * 3 = 189 * 3 = 567
The third term of an arithmetic progression is 6 while the sum of the first twelve terms is 282. Find the common difference and the first term
Answer:
d = 5 and a₁ = - 4
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
Given a₃ = 6, then
a₁ + 2d = 6 → (1)
The sum to n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
Given [tex]S_{12}[/tex] = 282, then
6 [ 2a₁ + 11d ] = 282 ( divide both sides by 6 )
2a₁ + 11d = 47 → (2)
We can now solve (1) and (2) for d and a₁
Multiply (1) by - 2
- 2a₁ - 4d = - 12 → (3)
Add (2) and (3) term by term
7d = 35 ( divide both sides by 7 )
d = 5
Substitute d = 5 in (1) and solve for a₁
a₁ + 10 = 6 ( subtract 10 from both sides )
a₁ = - 4
simplify or reduce the answer to 1/4+2/7+1/2
Answer: 29/28
Step-by-step explanation:
To add fractions we have to calculate the Least Common Denominator of the denominators. Then we have to change each fraction (using equivalent fractions) to make their denominators the same as the Least Common Denominator. Then we can add (or subtract) the fractions.
LCD (4,7,2)= 4·7 = 28
1/4 = 7/28
2/7 = 4·2/28 = 8/28
1/2 = 14/28
Since the fractions have the same denominator we can add them
7/28 + 8/28 + 14/28 = (7+8+14)/28 = 29/28
[tex]\textit{\textbf{Spymore}}[/tex]
Find the distance between the points (–9, 0) and (2, 5).
Answer:
sqrt( 146)
Step-by-step explanation:
To find the distance between two points, we use the formula
d = sqrt( ( y2-y1)^2 + (x2-x1)^2)
Where (x1,y1) and (x2,y2) are the two points.
(–9, 0) and (2, 5).
Substituting into the equation
d = sqrt( (5-0)^2 + (2- -9)^2)
d = sqrt( ( 5^2 + (2+9)^2)
sqrt( ( 5^2 + (11)^2)
= sqrt( 25+121)
= sqrt( 146)
The distance between the two points is sqrt(74)
Final answer:
The distance between the points (–9, 0) and (2, 5) in the Cartesian plane is approximately [tex]\sqrt{146}[/tex] units.
Explanation:
To find the distance between two points in the Cartesian plane, we can use the distance formula.
The distance formula is:
distance = [tex]\sqrt{((x_2 - x_1)^2 + (y_2 - y_1)^2)}[/tex]
Using the given points (–9, 0) and (2, 5), we can plug in the values:
distance = [tex]\sqrt{((2 - (-9))^2 + (5 - 0)^2)}[/tex]
distance = [tex]\sqrt{((11)^2 + (5)^2)}[/tex]
distance = [tex]\sqrt{(121 + 25)}[/tex]
distance = [tex]\sqrt{146}[/tex]
So, the distance between the points (–9, 0) and (2, 5) is approximately [tex]\sqrt{146}[/tex] units.
Can you help me with this question?
I got quite confused as to what to do here.
The teacher didn't really explain about the angle of depression
Answer: 359 ft
Step-by-step explanation:
Whenever you have a problem like this, you must first make an assumption that the building (in this case the lighthouse) is perpendicular to the ground (or sea). This allows you to create a right triangle (see attached image).
The angle of depression is the angle from an imaginary perpendicular line passing through the top of the building. Since that imaginary line is parallel to the ground (or sea), you can use alternate interior angles to place that angle in the triangle.
NOTE: BOTH angle of elevation and angle of depression are placed in the lower corner of the triangle. Don't let the names confuse you!
Now you can use trigonometry to solve ....
In the given problem, we have the side OPPOSITE of the given angle (24°) and need the side ADJACENT to the angle, so we will use tan to solve for x.
[tex]tan\ \theta=\dfrac{opposite}{adjacent}\\\\\\tan\ 24^o=\dfrac{160}{x}\\\\\\\rightarrow x=\dfrac{160}{tan\ 24^o}\\\\\\\rightarrow x=359.4\\\\\\\rightarrow x\approx 359[/tex]
PLEASE HELP!
Jenny likes to paint. She estimates the number of paintings she completes using the function P of w equals one half times w plus one, where w is the number of weeks she spends painting. The function J(y) represents how many weeks per year she spends painting. Which composite function would represent how many paintings Jenny completes in a year?
Options:
Answer:
First Image: [tex]P(J(y))=\frac{1}{2}J(y)+1[/tex]
Step-by-step explanation:
We have the following functions:
[tex]P(w)=\frac{1}{2}w+1[/tex]
Here, P(w) represents the number of paintings Jenny completes in w weeks.
J(y) = Number of weeks per year.
Since, J(y) is the number of weeks spent per year in painting, in order to calculate the paintings completed in a year we substitute w = J(y) in the above equation. So the equation becomes:
[tex]P(J(y))=\frac{1}{2}J(y)+1[/tex]
This composite function would represent number of paintings Jenny completes in a year.
p[J(y)] = 1/2 . J(y) + 1 or the first image is the correct answer!
I took the test and ended up getting it right.
Good luck! I hope you have an awesome day!
The youngest person in the company is 22 years old. The range of ages is 37 years. How old is the oldest person in the company?
[tex]\large\boxed{59\,\text{years old}}[/tex]
Step-by-step explanation:In this question, it's asking you to figure how old the oldest person in the company is.
To solve this, we would need to gather some important information from the question.
Important information:
Youngest person is 22 years old.The range is 37.With the information above, we can get closer to our answer.
We need some prior knowledge to solve this. The "range" is the highest number subtracted by the lowest number.
This means that the the 22 was already subtracted to get 37.
What we would do is reverse to solution and add 22 to 37 to get our highest number (oldest person).
[tex]37+22=59[/tex]
When you add them together, you should get 59.
This means that the oldest person in the company is 59 years old.
I hope this helped you out.Good luck on your academics.Have a fantastic day!Answer:
Age of oldest person = 59 years
Step-by-step explanation:
Points to remember
Range of a data set is the difference between smaller value and larger value value in the set.
It is given that, the youngest person in the company is 22 years old. The range of ages is 37 years.
To find the age of oldest person
Range = 37 years
Youngest age = 22 years
Range = oldest age - youngest age
oldest age = range + youngest age
= 37 + 22
= 59
Age of oldest person = 59 years
where is the tie????? please help this is extra credit and I can't find it :(
Answer:
I'm not quite sure because its not clear enough, but, it might be on the left side on the green pillow.... What game is this though?
Write as an algebraic expression and then simplify if possible:
Seven less than twice a number n.
Answer:
2n-7
Step-by-step explanation:
"7 less than twice a number n"
is the same as
"7 less than (twice a number n)".
I put ( ) around that one part because I want you to focus on that part first.
Twice a number n means 2 times that number n or 2n.
So now we have
"7 less than 2n".
This means 2n-7.
All of the following are equivalent except___. 7x^3,4x+3x,(4+3)x,7x
Answer:
The one that is not equivalent is 7x^3
Step-by-step explanation:
7x^3= 7 * x*x*x
4x+3x = 7x = 7*x
(4+3)x = (7)x = 7*x
7x= 7*x
Answer:
7x^3
Step-by-step explanation:
All of the following are equivalent except 7x^3.
7x^3 = 7x^3
4x+3x = 7x
(4+3)x = 7x
7x = 7x