The answer would be 32/3 or 10.67
Ok, so the formula would be set up like this...
[tex]\frac{(2*4)-(4*3)-(11*2)+(3x-6)}{x+2}[/tex]
then, you can simplify the numerator into
[tex]\frac{8-12-22+3x-6}{x+2}[/tex]
srry but i am just going to assume that you are trying to find what x equals.
if you are, then read on!
so this means that [tex]\frac{8-12-22+3x-6}{x+2}=0[/tex]
now multiply (x+2) on both sides, geting [tex]8-12-22+3x-6=0[/tex]
simplify this, and you got [tex]3x-32=0[/tex] and then [tex]3x=32[/tex]
divide both sides and u got [tex]x=\frac{32}{3}=10.67[/tex]
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Lyril inspects sneakers at a
factory. Of the first 64 pairs of
sneakers she inspected 48 were
acceptable. What is the
experimental probability that
the next pair of sneakers will be
acceptable?
40 points
Answer:
0.8
Step-by-step explanation:
Of the 60 sneakers inspected, 48 were acceptable. The experimental probability is therefore:
P = 48/60
P = 0.8
Two times the reciprocal of a number equals 32 times the reciprocal of 40. Find the number
Answer:
The number is x=2.5 x=5/2
Step-by-step explanation:
x = number
2(1/x) = 32/40
2/x = 32/40
cross multipli cation
2*40 = 32x
80=32x
2.5 = x or 5/2 or 2(1/2)
Please help! The question is in the picture!
Answer:
OPTION A and OPTION C
Step-by-step explanation:
OPTION A:
[tex]$ \frac{1}{5}x - 10 $[/tex] and [tex]$ \frac{1}{5}(x - 50) $[/tex]
Consider [tex]$ \frac{1}{5}(x - 50) = \frac{x}{5} - \frac{50}{5} $[/tex]
This is equal to [tex]$ \frac{1}{5}x - 10 $[/tex].
This is exactly the first expression. So, we say both expressions are equivalent.
OPTION B:
[tex]$ \frac{1}{3} x - 6 $[/tex] and [tex]$ - \frac{1}{3}(3x + 18) $[/tex]
Distributing [tex]$ -\frac{1}{3} $[/tex] to [tex]$ (3x + 18) $[/tex] we get:
[tex]$ \frac{-x}{3} + \frac{-18}{3} $[/tex]
⇒ [tex]$ -x - 6[/tex]
This is not equivalent to the first expression.
OPTION C:
[tex]$ \frac{1}{2}x + 8 $[/tex] and [tex]$ \frac{1}{2}(x + 16) $[/tex]
[tex]$ \frac{1}{2}(x + 16) = \frac{x}{2} + \frac{16}{2} $[/tex]
[tex]$ \implies \frac{1}{2}x + 8 $[/tex]
This is exactly the first expression. So, we say the expressions are equal.
We apply similar techniques to OPTION D and OPTION E. Note that the expressions are not equal in both the options.
How many x-intercepts appear on the graph of this polynomial function?
1 Rx)= x -x + x²-x
1 x-intercept
2 x-intercepts
3 x-intercepts
4 x-intercepts
Answer:
The given function[tex]R(x) = x - x + x^2 - x[/tex] has 2 x -intercepts.
Step-by-step explanation:
Here, the given polynomial function is :
[tex]R(x) = x - x + x^2 - x\\\implies R(x) = x^2 - x[/tex]
or, [tex]y = x^2 - x[/tex] ............ (1)
X- intercept is the point in the graph of R(x), where the coordinate y = 0.
Now, substituting the value of y = 0 in (1) find all x - intercepts:
[tex]y = 0 \implies x^2 - x = 0\\x(x-1) =0\\\implies(x-0)(x-1) = 0[/tex]
⇒ Either x = 0 , or x - 1 = 0 ⇒ x = 1
⇒The given function has two x intercepts at x = 0 and x = +1
Hence, the given function[tex]R(x) = x - x + x^2 - x[/tex] has 2 x -intercepts.
Answer:
2 x-intercepts on edge2020
Step-by-step explanation:
20 millimeters long with an area of (20x-200) square millimeters. Write an expression that represents the perimeter (in millimeters) of the octopus pupil.
Answer:
Perimeter = (20 + 2x) mm.
Step-by-step explanation:
The octopus pupil has length 20 mm and the expression for its area is given by (20x - 200) square mm.
If the width of the octopus pupil is w, then 20w = 20x - 200
⇒ w = (x - 10) mm.
Therefore, the expression for its perimeter is 2(Length + Width) = 2 ( 20 + x - 10) = 2( 10 + x) = (20 + 2x) mm. (Answer)
The expression that represents the perimeter of the octopus pupil is 20 millimeters.
Explanation:To find the expression that represents the perimeter of the octopus pupil, you need to know the length and area of the pupil. The length is given as 20 millimeters, and the area is represented by the expression (20x-200) square millimeters. The perimeter of a shape is the sum of all its side lengths.
So, for the octopus pupil, the perimeter can be found by adding up the lengths of all its sides. Since the shape is not specified, we'll assume it's a regular shape with all sides equal in length.
To find the expression for the perimeter, we need to know the number of sides. If we assume it has n sides, then each side has a length of 20/n millimeters. Therefore, the perimeter expression would be 20/n multiplied by n, which simplifies to 20 millimeters.
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-1.5,-1,?,0 what is the missing ? HELP PLZ
Answer:
-0.5
Step-by-step explanation:
It looks like it's increasing by 0.5
Answer:-0.5
Step-by-step explanation:Say you were doing it in postive form half of 1 is 0.50 meaning you just add a negative sign
Sin(cosx) = 1 solve for x
Answer:
There is no solution for x.
Step-by-step explanation:
We are given that [tex]\sin (\cos x) = 1[/tex] and we have to solve for x.
Let us assume that [tex]\cos x = \theta[/tex] then [tex]\sin \theta = 1[/tex] ........ (1)
Now, we know that for any value of x the value of cos x lies between 1 to - 1.
Hence, [tex]1 \geq \cos x \geq - 1[/tex] for all x.
⇒ [tex]1 \geq \theta \geq - 1[/tex]
Now, for [tex]1 \geq \theta \geq - 1[/tex], the value of [tex]\sin \theta[/tex] can never be equal to 1.
Hence, there is no solution for x. (Answer)
while hiking paco ate 3/4 of a cup of nuts. levi ate 1/2 of a cup of nuts. how much more did paco eat than levi
This answer explains how to calculate the difference in the amount of nuts eaten by Paco and Levi.
To find out how much more Paco ate than Levi:
Calculate how much each person ate: Paco ate 3/4 cup, Levi ate 1/2 cup.
Subtract Levi's amount from Paco's: 3/4 - 1/2 = 1/4 cup.
Therefore, Paco ate 1/4 cup more than Levi.
At a competition with 6 runners, 2 medals are awarded for first and second
place
Each medal is different. How many ways are there to award the medals?
Answer:
30 ways
Step-by-step explanation:
The first medal can be awarded in 6 different ways since any of the runners could have it. Once the first medal is awarded, the second medal can only be given to any of the 5 runners available.
So there are 6x5=30 different ways to award the medals
There are 30 ways to award the medals to the winners
How to determine the number of ways?The given parameters are:
Runners = 6
Medals = 2
The first position can be awarded to any of the 6 runners, while the second position can be awarded to any of the remaining 5 runners
So, the number of ways is:
Ways = 6 * 5
Evaluate
Ways = 30
Hence, there are 30 ways to award the medals
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Show work, please
Should not be a decimal
1/3(4 + 18)-2^2
Answer:
0
Step-by-step explanation:
1/3(4+8)-2^2
1/3(12)-2^2
1/3(12)-4
4-4
0
can anyone help with pre- alerba
Answer:
[tex] \sqrt{x^2} = |x| [/tex]
Step-by-step explanation:
[tex] \sqrt{x^2} = |x| [/tex]
The radical symbol when used for a square root means the non-negative square root. You cannot state that sqrt(x^2) = x because x may be negative. That is why you need use the absolute value symbol.
The length of a rectangle is 7 m less than three times the width, and the area of a rectangle is 66 m^2. find the dimensions of the rectangle.
Answer:
length =11m
width =6m
Step-by-step explanation:
let the w = x
L = 3x-7
area =L*w
66 = (3x-7)*x
66 = [tex]3x^{2} -7x[/tex]
[tex]3x^{2} -7x-66=0[/tex]
[tex]3x^{2} -18x+11x-66=0[/tex]
3x(x-6)+11(x-6)=0
(3x+11)(x-6)=0
x-6=0
x=6
recall,
L = 3x-7 =3*6-7=11
What is the value expression of - 1.6 × (- 25 ) =
Answer:
40
Step-by-step explanation:
-1.6(-25)=40
Answer:
40
Why didn't you just use a calculator
What are the answers of these and if work is needed please explain? Thank you
50 pts! An event management company purchases a new van. The value of the van, x years after the purchase, is shown in the table.
Which statement is true?
Answer:
I believe the answer is A.
Step-by-step explanation:
Multiply each nunber by .10
Afterwards subtract what you get from the number (ex-20,000)
You get the next number after it.
Do the same for each number
The statement that is true about the given table is "The situation can be modelled by an exponential decay function with a percent change of -10%".
What is exponential growth or decay function?Consider the function:
y= a(1 ± r)ˣ
where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.
If there is a plus sign, then there is exponential growth happening by r fraction or 100r %If there is a negative sign, then there is exponential decay happening by r fraction or 100r %Given that An event management company purchases a new van. The value of the van, x years after the purchase, is shown in the table.
Now, if the rate of decay and the initial price of the van can be found by substituting the value of x and y in the equation as shown below.
For the first column from the table, when the value of x and y is 0 and 20,000, respectively.
y= a(1 + r)ˣ
20,000 = a(1 + r)⁰
20,000 = a (1)
a = 20,000
For the second column from the table, when the value of x and y is 1 and 18,000, respectively. Also, the value of a=20,000.
y= a(1 + r)ˣ
18,000 = 20,000(1 + r)¹
18,000/ 20,000 = 1 + r
0.9 = 1 + r
0.9 - 1 = r
-0.1 = r
r = -0.1 = -10%
Hence, the statement that is true about the given table is "The situation can be modelled by an exponential decay function with a percent change of -10%".
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Which graph shows the solution to the system of linear inequalities? y > Two-thirdsx + 3 y ≤ Negative one-thirdx + 2
Answer:
The solution in the attached figure
Step-by-step explanation:
we have
[tex]y > \frac{2}{3}x+3[/tex] ----> inequality A
The solution of the inequality A is the shaded area above the dashed line [tex]y=\frac{2}{3}x+3[/tex]
The slope of the dashed line is positive
The y-intercept of the dashed line A is (0,3)
The x-intercept of the dashed line A is (-4.5,0)
[tex]y\leq -\frac{1}{3}x+2[/tex] ----> inequality B
The solution of the inequality B is the shaded area below the solid line [tex]y=-\frac{1}{3}x+2[/tex]
The slope of the solid line is negative
The y-intercept of the solid line B is (0,2)
The x-intercept of the solid line B is (6,0)
The solution of the system of inequalities is the shaded area between the shaded line and the solid line
using a graphing tool
see the attached figure
Answer:
B
Step-by-step explanation:
On edge 2021
A system of equations is shown:
4c + 2d = 11
(7/2) d = 41 - 220
What is the solution to the system?
C = ?
D = ?
Answer:
c = 793/28 , d = -358/7
Step-by-step explanation:
Solve the following system:
{4 c + 2 d = 11 | (equation 1)
(7 d)/2 = -179 | (equation 2)
Multiply equation 2 by 2:
{4 c + 2 d = 11 | (equation 1)
0 c+7 d = -358 | (equation 2)
Divide equation 2 by 7:
{4 c + 2 d = 11 | (equation 1)
0 c+d = -358/7 | (equation 2)
Subtract 2 × (equation 2) from equation 1:
{4 c+0 d = 793/7 | (equation 1)
0 c+d = -358/7 | (equation 2)
Divide equation 1 by 4:
{c+0 d = 793/28 | (equation 1)
0 c+d = -358/7 | (equation 2)
Collect results:
Answer: {c = 793/28 , d = -358/7
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. -1, 2, 3
Answer:
f(x) = x³ - 4x² + x + 6
Step-by-step explanation:
The polynomial function f has zeros at -1, 2, and 3.
So, the least degree of the polynomial will be 3{As it has three roots}.
Then, if the function is of x variable then (x + 1), (x - 2) and (x - 3) will be the factors of the polynomial.
Therefore, we can write
f(x) = (x + 1)(x - 2)(x - 3)
⇒ f(x) = (x + 1)(x² - 5x + 6)
⇒ f(x) = x³ - 5x² + 6x + x² - 5x + 6
⇒ f(x) = x³ - 4x² + x + 6
Hence, this is the polynomial with least degree having rational coefficients and with leading coefficient of 1 and the zeroes -1, 2, 3. (Answer)
How many lines of symmetry does the figure have
Answer:
The answer is 3.
Step-by-step explanation:
If you divide by the middle on all corners in the end you will get 3 lines of symmetry because you eventually used all three line.
Hope this helped!
Answer:
the answer is A. 3
Step-by-step explanation:
i just took the test
Annabelle has math and reading homework tonight. Annabelle can solve each math problem in 3 minutes and she can read each page in 2 minutes. The number of pages Annabelle read is 4 times the number of math problems she solved. and it took her 55 minutes to complete all of her homework. Determine the number of math problems Annabelle solved and the number of pages she read.
Answer:
The number of math problems Annabelle solved = 5 problems
The number of pages Annabelle read= 20 pages
Step-by-step explanation:
Given:
Time taken for Annabelle to solve one problem =3 minutes
Time taken for Annabelle to read one page =2 minutes
Total time taken by Annabelle to complete her homework= 55 minutes
To find:
Total Number of problems solved by Annabelle=?
Total Number of pages read by Annabelle=?
Solution:
Let the number of problem solved be x
Let the number of pages read be y
It is given that the number pages read is 4 times the number of problem solved
So number of pages read y= 4x
Now time taken to solve x problems = time taken to solve one problem X total number of problem
=>[tex]3\times x[/tex]
=>[tex]3x[/tex]
Similarly,
Time taken to read 4x pages= total number of pages read X time taken to read one problem
=>[tex](4x)\times 2[/tex]
=>[tex]2(4x)[/tex]
Now we know that
Time taken to solve x problems + Time taken to read 4x pages= 55 minutes
3x + (4x)2=55
3x+8x=55
11x=55 [tex]x=\frac{55}{11}[/tex]
x=5
So number of problem solved is x=5
Number of pages read y=4(x)=4(5)=20
There are 3 feet in 1 yard. This is equivalent to 12 feet in 4 yards. Which proportion can be used to represent this?
Proportion which can be used to represent equivalency of 3 feet in 1 yard and 12 feet in 4 yard is 3 : 1 : : 12 : 4
Solution:Given that
There are 3 feet in one yard
And there are 12 feet in 4 yard
Number of feet in one yard = 3 that is feet : yard = 3 : 1
Number of feet in 4 yards = 12 that is feet : yard = 12 : 4
And 3 feet in 1 yard is equivalent to 12 feet in 4 yards means
[tex]\frac{3}{1}=\frac{12}{4}[/tex]
That is 3 : 1 : : 12 : 4
A proportion is statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a : b = c : d
Hence proportion which can be used to represent equivalency of 3 feet in 1 yard and 12 feet in 4 yard is 3 : 1 :: 12 : 4
Answer: Proportion which can be used to represent equivalency of 3 feet in 1 yard and 12 feet in 4 yard is 3 : 1 : : 12 : 4
Step-by-step explanation: D
The telephone company offers two billing plans for local calls. Plan 1 charges $29 per month for unlimited calls and Plan 2 charges $19 per month plus $0.04 per call. If you have Plan 1 for 4 months, how much will your total be?
Answer:
$116 for four months
Step-by-step explanation:
$29 • 4 = 116
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, 0) and (0, 2). Everything to the right of the line is shaded. Which linear inequality is represented by the graph?
Answer:
42 TOTAL
Step-by-step explanation:
Tanner plans to make 11 liters of blackberry punch and 18 liters of lemon-lime punch for the class party. He also plans to make 3 batches of cookies. One liter of punch will serve 16 students at the party. How many students will Tanner's punch serve?
Answer:
464 students
Step-by-step explanation:
So in all he has 29 liters of punch
11L blackberry punch
18L Lemon line punch
29L collectively
so if 1 liter is enough for 16 students we would multiply 16 students by 29 liters of punch giving you 464.
At a sale, a suit is being sold for 73% of the regular price. The sale price is $511. What is the regular price?
Answer:
700 dollars,
Step-by-step explanation:
what you do is divide 511 by 73 then multiply the number by 100
Complete each function table.
1. Input (v)
0
*+6
Output (y)
3
Answer:Tueyndi
Step-by-step explanation:
Answer:1.6,9,14
Step-by-step explanation:
so x+6 input is x so you put the number in the input where the x is so 0+6=6,and 3+6=9 and so on.....
Max adds 7 to a number the. Múltiples the sum by -4 the result is 3 times the same number write and since an equation to find the number n what is the number
Answer:
The number is -4.
Step-by-step explanation:
Let the number be n.
Given:
Max adds 7 to a number.
hence it is given as n+7
Multiply's the sum by -4 the result is 3 times the same number.
Hence the equation can be written as;
[tex]-4(n+7)=3n[/tex]
Now Solving the above equation to find value of n we get;
[tex]-4(n+7)=3n\\-4n-28=3n\\-4n-3n=28\\-7n=28\\n=\frac{28}{7}=-4[/tex]
The value of n is -4.
Now when we add 7 to number -4 we get answer as 3.
And when the sum is multiplied by -4 we get answer -12.
Also 3 times of number is equal to 3 multiplied by -4 we get answer as -12.
Hence when the sum is multiplied by -4 it is equal to 3 times of same number.
Hence from above we can say that the number is -4.
Final answer:
The number that satisfies Max's operation of adding 7 to a number and then multiplying by -4 to get 3 times the same number is -4.
Explanation:
Max adds 7 to a number n, then multiplies the sum by -4, and the result is 3 times the same number n. To find the number n, we first write down the equation that represents this situation:
-4(n + 7) = 3n
Next, we solve for n:
Distribute -4 inside the parenthesis: -4n - 28 = 3n
Move all n terms to one side: -4n - 3n = 28
Combine like terms: -7n = 28
Divide both sides by -7 to isolate n: n = -4
The number n that satisfies this equation is -4.
What is the value of m < a + m < b
34°
56°
90°
180°
Answer:
Angle a+ Angle b= 90 degrees
Step-by-step explanation:
a=180-124
a=56
b=180-90-56
b=34
a+b
34+56= 90
The solution is, the value is, Angle a+ Angle b= 90 degrees.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
here, we have,
from the given figure we get,
we have,
a=180-124
a=56
and,
b=180-90-56
b=34
now,
a+b
putting the values , we get,
34+56= 90
Hence, The solution is, the value is, Angle a+ Angle b= 90 degrees.
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which of the followibg expressions is equivalent to the expression a^2/3
Answer:
C. I can’t really enter square roots
Step-by-step explanation:
a^2/3 = a^2*a^1/3
Which is the cube root of a squared
What is the answer???
The conclusion about the relationship between the number of cars sold and the high temperature is "The high temperature and the number of cars sold may have a negative correlation, but one may not cause the other". Option D.
What can you conclude about the relationship between the number of cars sold and the high temperature?
Correlation in scatter plot indicates the strength and direction of a relationship between two variables. A positive correlation means that as one variable increases, the other also increases, while a negative correlation means that as one variable increases, the other decreases.
Therefore, from the scatter plot, it can be concluded that high temperature and the number of cars sold may have a negative correlation, but one may not cause the other.
Complete question:
A salesperson uses a scatter plot to compare the number of cars sold on a particular day to the high temperature that day. What can you conclude about the relationship between the number of cars sold and the high temperature?
A) Lower temperatures mean more cars are sold.
B) There is no correlation between the number of cars sold and the high temperature.
C) The more cars are sold, the more the temperature drops.
D) The high temperature and the number of cars sold may have a negative correlation, but one may not cause the other.