Answer:
x = 40
Step-by-step explanation:
x = 8 x 5
x = 40
that's it
What is the solution for the equation 2/5 x - 4 = 26 ?
The given expression is,
[tex]\frac{2}{5}x-4=26[/tex]Multiplying all the terms with 5, we get
[tex]\begin{gathered} 5\times\frac{2}{5}x-(5\times4)=(26\times5) \\ 2x-20=130 \\ 2x=130+20 \\ 2x=150 \\ x=\frac{150}{2}=75 \end{gathered}[/tex]Thus, the solution is, x = 75.
Zack plans to attend the Carroll County Fair and is trying to decide what would be a better deal. He can pay $40 for unlimited rides, or he can pay $15 for admission plus $1 per ride. If Zack goes on a certain number of rides, the two options wind up costing him the same amount. How many rides is that?
Let
x -----> number of rides
y ----> the total cost
so
The linear equation that represents both situations are
y=40 -----> equation A
y=x+15 ----> equation B
equate both equations
40=x+15
solve for x
x=40-15
x=25
therefore
the number of rides is 25A number you can square to give an answer bigger than 500 but bigger than 600
The number that you can square to give an answer bigger than 500 but bigger than 600 = 25.
What is the square of a number?The square of a number is defined as the ability to multiple the given number by itself to give a perfect whole number.
For example the square of 2, which is written as 2² = 2×2 = 4
From the given scenario, the number that would be squared to give an answer bigger than 500 but bigger than 600 = 25
Learn more about number square here:
https://brainly.com/question/26119721
#SPJ1
a weighted die has probability 0.102 of landing on a 6. if you roll the die until you get a 6 for the first time, what is the expected number of rolls it will take?
This is an example of a geometric distribution with success probability p=0.102
The expected number of rolls is 10.
What is a geometric distribution?A discrete probability distribution of a random variable "x" that meets some requirements is referred to as a geometric distribution. The conditions for the geometric distribution are. a phenomenon that has undergone a number of tests. There are only two outcomes that can occur in a trial: success or failure.Geometric distribution: If a discrete random variable X has a probability density function (p.d.f.) of the form P(X = x) = q(x-1)p, where q = 1 - p, it is said to have a geometric distribution.Given a finite number of trials, the geometric distribution can be used to estimate the likelihood of success. This is extremely useful in the real world, where it is uncommon to conduct unlimited (and unrestricted) trials.This is an example of a geometric distribution with success probability p=0.102 The expected value of the random variable of a geometric distribution is 1/p=1/0.102=9.80
Therefore, the expected number of rolls is 10.
To learn more about : Geometric distribution
Ref : https://brainly.com/question/14957440
#SPJ1
graph the line that passes through the point (0,3) and is parallel to another line whose slope is 1.2.
please do it quick i need it asap
Hello,
Two parallel lines have the same slope, which means that our line's slope, will also be 1.2.
So now we have a point and a slope, so we can use the following formula to find the equation of the line:
y-y1 = m (x-x1)
Where:
y1 - y coordinate of a point on the line
x1 - x coordinate of the same point on the line
m - slope
Plugging in we get:
y+3 = 1.2 (x-0)
y = 1.2x - 3 (slope intercept form)
or
5y-6x = -15 (standard form)
Cheers
I Really Need Help..
PHOTO BELOW:
Answer: He is not correct because when simplifying an expression, you can only add like terms together.
Step-by-step explanation:
you are given the expression: x^2 + 4x - 2x
when simplifying an expression, you can only add/subtract like terms (terms that have the same variable which are raised to the same power).
in the expression, you can only subtract 4x - 2x because they have like terms/the same variable.
you cannot add x^2 to 4x because x^2 and x are NOT like terms/the same variable. (If 4x was 4x^2, then you would be able to add them together.
meaning the simplified expression should be: x^2 + 2x and not 3x^2
a number m is randomly selected from the set {11, 13, 15, 17, 19}, and a number n is randomly selected from {1999, 2000, 2001, . . . , 2018}. what is the probability that mn has a units digit of 1?
According to Euler's Theorem, if gcd(a,n) = 1, then a(n) 1. (mod n). The number of relatively prime integers in the range of 1, 2,..., n-1 is represented by the Euler totient function.
The probability that mn has a units digit of 1 = 2/5
What is Euler's theorem ?According to Euler's Theorem, if gcd(a,n) = 1, then a(n) 1. (mod n). The number of relatively prime integers in the range of 1, 2,..., n-1 is represented by the Euler totient function, or (n). This theorem is simply Fermat's little theorem when n is a prime.The remainder of a(m), when divided by a positive integer m that is relatively prime to a, is 1, according to Euler's Theorem. Because Fermat's Theorem is merely a special case of Euler's Theorem, this is the only way we can demonstrate Euler's Theorem. This is because (p)=p1 holds for a prime number p.By Euler's Theorem, we have that [tex]$a^{4} \equiv 1 \pmod {10}$[/tex] if [tex]$\gcd(a,10)=1$[/tex] Hence[tex]$m=11,13,17,19$,[/tex][tex]$n=2000,2004,2008,2012,2016$[/tex] work.
Also note that [tex]$11^{\text{any positive integer}}\equiv 1 \pmod {10}$[/tex] because [tex]$11^b=(10+1)^b=10^b+10^{b-1}1+...+10(1)+1$[/tex], and the latter[tex]$\pmod {10}$[/tex]is clearly [tex]$m=11$[/tex], [tex]$n=1999,2001,2002,2003,2005,...,2018$[/tex] work (not counting multiples of 4 as we would be double counting if we did).
We can also note that [tex]$19^{2a}\equiv 1 \pmod {10}$[/tex] because[tex]$19^{2a}=361^{a}$[/tex], and by the same logic as why [tex]$11^{\text{any positive integer}}\equiv 1 \pmod {10}$[/tex]we are done. Hence [tex]$n=2002, 2006, 2010, 2014, 2018$[/tex] and [tex]$m=19$[/tex] work (not counting any of the aforementioned cases as that would be double counting).
We cannot make any more observations that add more[tex]$m^n$[/tex] with unit digit [tex]$1$[/tex], hence the number of [tex]$m^n$[/tex] that have units digit one is [tex]$4\cdot 5+1\cdot 15+1\cdot 5=40$.[/tex] And the total number of combinations of an element of the set of all [tex]$m$[/tex]and an element of the set of all n is [tex]$5\cdot 20=100$[/tex]. Hence the desired probability is [tex]$\frac{40}{100}=\frac{2}{5}$[/tex].
To learn more about : Euler's Theorem
Ref : https://brainly.com/question/12274716
#SPJ1
Max and his friends picked apples at an apple orchard. The weight in pounds, each person's bag of apples are listed below.what is the interquartile range, in pounds, of the wait?
Answer:
Choice A. 1.1
Explanation:
Finding the final amount in a word problem on compound interest
Remember that the formula to calculate the total amount in an account with compoud interest is:
[tex]P(1+r)^n[/tex]Where:
• P, is the principal (amount incially invested)
,• r ,is the rate of interest
,• n, is the times that the interest is compounded
Using this and the data given we'll get:
[tex]2000(1+\frac{4.8}{100})^9=3049.87[/tex]Thereby, we can conclude that the accounts balance after 9 years is $3,049.87
Describe in words where cube root of 35 would be plotted on a number line. between 3 and 4, but closer to 3 between 3 and 4, but closer to 4 between 2 and 3, but closer to 2 between 2 and 3, but closer to 3
The ∛35 will be plotted between 3 and 4, but closer to 3 on the number line.
In basic mathematics, real numbers are shown as a fine graphic of a graduated straight line which is called a number line.
Every point on a number line is considered to correspond to a real number, and every real number is assumed to correspond to a point.The integers are typically shown as lines of specially chosen, evenly spaced dots. Even though the image only shows the integers from -3 to 3, as well as values that are in between the integers, the product contains all real numbers, going forever in both directions. When teaching the very foundations , addition and subtraction with negative numbers, it is widely used as a teaching technique.We know that 35 lies between 27 and 64 , and 27 = 3³ and 64 = 4³.
Hence the ∛35 will be plotted between 3 and 4 and since 35 is closer to 27 than 64 , therefore it will be closer to 3.
To learn more about the number-line visit:
https://brainly.com/question/13425491
#SPJ4
Which of the equations shown have infinitely many solutions ? Select all that apply. A. 3x-1=3x+1, B. 2x-1=1-2x, c 3x-2=2x-3, D 3(x-1)=3x-3, E. 2x+2=2(x+1), F. 3(x-2)=2(x-3)
Answer:
The equations that have infinitely many solutions are;
[tex]\begin{gathered} 3(x-1)=3x-3 \\ 2x+2=2(x+1) \end{gathered}[/tex]Explanation:
For an equation to have infinitely many solutions, the left-hand side of the equation and the right side of the equation must be equivalent/equal.
That means that the expression before the equal sign must be equivalent to the expression after the decimal.
such as;
[tex]\begin{gathered} x=x \\ x+3=x+3 \\ 2x=2(x) \\ 4x+4=4(x+1) \end{gathered}[/tex]From the given equation, the equations that have their left and right sides equivalent are;
[tex]\begin{gathered} 3(x-1)=3x-3 \\ 3x-3=3x-3 \\ \\ 2x+2=2(x+1) \\ 2x+2=2x+2 \end{gathered}[/tex]Therefore, the equations that have infinitely many solutions are;
[tex]\begin{gathered} 3(x-1)=3x-3 \\ 2x+2=2(x+1) \end{gathered}[/tex]an envelope contains eight bills: 22 ones, 22 fives, 22 tens, and 22 twenties. two bills are drawn at random without replacement. what is the probability that their sum is \$20$20 or more?
When two bills are drawn randomly without replacement, the probability that their sum is $20 or more is 1/2.
Given,
An envelope contains 8 bills;
Two of $1 bills, Two of $5 bills, Two of $10 bills, Two of $20 bills.
When two bills are drawn randomly without replacement, we have to find the probability that their sum is $20 or more.
Total outcomes = 2 x 2 x 2 x 2 = 16
Total possible outcomes, more than 20;
(1, 20), (20, 1), (5, 20), (20, 5), (10, 10), (20, 10), (10, 20), (20, 20) = 8 cases
That is,
The total possible outcomes is 8.
Now,
The probability of bill to be $20 or more = Possible outcome / Total outcome
Probability = 8/16 = 1/2
That is,
When two bills are drawn randomly without replacement, the probability that their sum is $20 or more is 1/2.
Learn more about probability here;
https://brainly.com/question/16673337
#SPJ1
There is a daily fee for renting a moving truck, plus a charge of $0. 50 per mile driven. If driven 48 miles, it cost $64 to rent a truck. Write and solve an equation to find the daily fee
Using concept of Linear equations, we find $40 is the daily fee for renting a moving truck.
Linear equations are generally equations of the first order. The linear equations are defined for the lines in the coordinate system. When the equation having a homogeneous variable of degree 1 (i.e. only one variable), then it is called as a linear equation in one variable. A linear equation can have more than one variables. If the linear equation has two variables, then it is known as linear equations in two variables and so on. Some of the examples of linear equations which are listed here 2x – 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, 3x – y + z = 3.
So, lets suppose daily fee for renting a movie a truck is $x
Then according to question,
Daily fee+ total distance travelled × charge per mile=total cost
=>x+48×0.50=64
On solving x, we get x=40
Hence, daily fee cost is $40 which is required for renting a moving truck.
To know more about linear equations, visit here:
https://brainly.com/question/11897796
#SPJ4
Please answer the 3 questions in the photo! ( 30 points + brainliest )
The required measures of the angle A, L, and J is 40.8°, 83°, and 95° respectively.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
1.
The sum of the vertical angle is 180°. So,
∠A + ∠B = 180
Substitute value in the above equation,
x + 4x - 24 = 180
5x - 24 = 180
5x = 204
x = 204 / 5
x = 40.8°
∠A = 40.8°
Similarly,
2. ∠L = 83°
3. ∠J = 95°
Thus, the required measures of the angle A, L, and J is 40.8°, 83°, and 95° respectively.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ1
complete the number bond and write the number sentence to match the tape diagram
In the first graph, we have that the whole figure is 1
it is divided in 4 parts:
Then, we want to divide 1 into 4 parts. That is
[tex]1\div4=\frac{1}{4}[/tex]Then, we have that:
It is the same for the second figure:
Each 1/4 corresponds to each part. Then if we add them:
[tex]1=\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}[/tex]Factor out the greatest common factor. Simplify the factors, if possible.2(c + y)2 - 14(c+y)2 - 6(c+y)4Select the correct choice below and, if necessary, fill in the answer box to complete your choice.O A. 2(c+y) 3 – 14(c + y)2 - 6(c +y)4 =(Type your answer in factored form. Simplify your answer.)OB. There is no common factor other than 1.
The greatest common factor of a polynomial is the largest expression that divides all of the terms of the polynomial. In this case, we have:
[tex]2(c+y)^3-14(c+y)^2-6(c+y)^4[/tex]First, find the GCF of the coefficients of the terms. The coefficients are 2, 14 and 6, their GCF is 2.
On the other hand, notice that the factor (c+y) is a common factor for all three terms. Find the greatest power of (c+y) that divides all the terms. Since the lowest power of (c+y) in the expression is 2, then, the greatest power of (c+y) that divides all the terms is (c+y)^2.
The GCF of the expression is the product of the GCF of the coefficients and the GCF of the factors with variables.
Then, the GCF of the expression is:
[tex]2(c+y)^2[/tex]Factor out 2(c+y)^2 from the expression:
[tex]2(c+y)^3-14(c+y)^2-6(c+y)^4=2(c+y)^2\lbrack(c+y)-7-3(c+y)^2\rbrack[/tex]Therefore, the answer is option A and the expression inside the box should be:
[tex]2(c+y)^2((c+y)-7-3(c+y)^2)[/tex]Evaluate the function for the following values:
f(-2)=
f(0) =
f(3) =
Simplify the expression. Assume that x is nonzero. Your answer should have only positive exponents. x to the power of negative 10 multiplied by x to the power of 6
The answer after simplifying the expression, [tex]x^{-10} *x^{6}[/tex], will be [tex]1/x^{4}[/tex].
According to the question,
We have the following expression:
[tex]x^{-10} *x^{6}[/tex]
Now, we know that if two numbers are being multiplied with the same base but different powers then their powers are added.
(More to know: if the numbers are in division with the same base but different powers then their powers are subtracted.)
So, we have:
[tex]x^{-10+6}[/tex]
[tex]x^{-4}[/tex]
Now, we know that if powers are in negative then the number can be inverted to make the power positive (because it is given that the answer should have only positive exponents).
[tex]1/x^{4}[/tex]
Hence, the value after solving the expression is [tex]1/x^{4}[/tex].
To know more about expression here
https://brainly.com/question/14083225
#SPJ1
SOMEONE PLEASE HELP WITH THESE 3 Questions! You will get TONS of points
zma = a + b Solve for A
x + m = p - n + yx Solve for X
z = am + an + ap Solve for A
Answer:
1. [tex]a=\frac{b}{zm-1}[/tex] 2. [tex]x=\frac{p-n-m}{1-y}[/tex] 3. [tex]a=\frac{z}{m+n+p}[/tex]
Step-by-step explanation:
1. zma = a+b : [tex]z=\frac{a+b}{ma} ;[/tex] [tex]m\neq 0[/tex]
zma = a + b Divide both sides by ma: [tex]m\neq 0[/tex]
[tex]\frac{zma}{ma} =\frac{a}{ma} +\frac{b}{ma} ;[/tex] [tex]m\neq 0[/tex]
2. Subtract m from both sides
x + m - m = p - n + yx - m
Simplify
x = p - n + yx - m
Subtract yx from both sides
x - yx = p - n + yx - m - yx
simplify
x - yx = p - n - m
Factor x - yx: x(1 - y)
x(1 - y) = p - n - m
simplify x = [tex]\frac{p -n-m}{1-y} ;y\neq 1[/tex]
3.Apply the sum /Different Rule : (f + g)' = f ' + g'
= [tex]\frac{d}{dp} (am)+\frac{d}{dp} (an)+\frac{d}{dp} (ap)[/tex]
[tex]\frac{d}{dp} (am)=0[/tex]
[tex]\frac{d}{dp} (an)=0[/tex]
[tex]\frac{d}{dp} (ap)=a[/tex]
= 0 + 0 + [tex]a[/tex]
simplify
= a
learn more about this kind of math
brainly.com/question/1763239
#SPJ2
Write an equation in point-slope form for the line through the two points. Then change it toslope-intercept form. Rewrite the equation in standard form.10. (1, 2) and (3, 12)11. (6, 2) and (-2,-2) 12. (4,1) and (1,4)Please help I have sooo many assignments (:
For the point 13. we have that the line passes through the points (-1,-2) and (0,1) then the slope is
[tex]m=\frac{-2-1}{-1-0}=\frac{-3}{-1}=3[/tex]and the line equation will be:
[tex]y-1=3x\Rightarrow y=3x+1[/tex]For the point 14: we have that the line passes through the points (-1,0) and (0,-1) then the sslope is:
[tex]m=\frac{-1-0}{0-(-1)}=\frac{-1}{1}=-1[/tex]and the line equation will be:
[tex]y=-1(x-(-1))\Rightarrow y=-x-1[/tex]For the point 15: the line equation is y=-3 because the y coordinate will be always the same (-3) and the slope of the line will be equal to zero
Solve using substitution.
X = 7
-2x 9y = 13
(__ , __)?
Submit
Answer:
(7,-3)
Step-by-step explanation:
x = 7
-2x - 9y = 13
* Substituition is the easieat way to solve such a function.
- Firstly, put "7" instead of "x" in the equation.
- multiply "7" by "-2"
- Solve for "y"
* -2x-9y = 13
* -2×7-9y = 13
* -14-9y = 13
* -9y = 27
* -9y/-9 = 27/-9
* y = -3
# Since x = 7, the output/"y" will be -3
(7,-3)
A test is worth 100 pts. Each problem is worth either 2 or 5 pts. The number of 5 pt problems is 22 less than 2pt problems. How many problems of each type are on the test
The number of two pt problems are 30 and 5 pt problems are 8.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let x= one type of question
Let x-22= the other type of questions
100=2x+5(x-22) Distribute
100=2x+5x-110
100=7x-110
100+110=7x
210=7x
Divide both sides by 7
one type 30=x
second type 30-22=8
Hence the number of two pt problems are 30 and 5 pt problems are 8.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
formula p*r*t=I 4350 * 4 * x = I
As per the concept of Simple interest, the value of x that refers the time is 0.000057.
Simple interest:
Simple interest is obtained by multiplying the daily interest rate by the principal by the number of days that elapse between payments.
Give,
Here we have the expression like the following:
p*r*t=I
4350 * 4 * x =1
Here we need to find the value of x.
While we looking into the expression, we have identified that the value of
Principal amount (p) = 4350
rate of interest (r) = 4
Time = x
Interest amount (I) = 1
So, while we execute this expression then we get the value of times as,
=> 4350 x 4 x x = 1
Here we need the value of x so, we have to move the other to the right hand side, then we get,
=> x = 1/(4350 x4)
=> x = 1/17400
=> x = 0.000057
Therefore, the value of x is 0.000057.
To know more about Simple interest here.
https://brainly.com/question/25845758
#SPJ1
if 6x-1=29, what is the value of x2+x
We are given
[tex]6x-1=29[/tex]Therefore the value of x can be gotten by simplifying the above equation
[tex]\begin{gathered} 6x=29+1 \\ 6x=30 \\ x=\frac{30}{6} \\ x=5 \end{gathered}[/tex]Given that x is 5, we can proceed to find the value of the expression.
[tex]\begin{gathered} x^2+x \\ \Rightarrow(5)^2+5 \\ \Rightarrow25+5 \\ \Rightarrow30 \end{gathered}[/tex]This implies that
[tex]x^2+2\Rightarrow30[/tex]8. Kyle went out to eat. His meal was
$18, not including tip. Once tip was
added he paid $21. What was the
percent of increase in the price he paid?
$3
the amount paid after adding tip is $21
the amount for the meal is $18
$21-$18=$3
what is i (5+5) vey (5-5) u
The sentence that represents the expression (5 + 5)ve y(5-5) u is:
love you.
How to translate the expression to a sentence?The expression is given as follows:
(5 + 5)ve y(5-5)u
There are two operations in the expression, as follows:
5 + 5 = 10. (addition of 5 and 5 = multiplication of 5 by 2).5 - 5 = 0. (subtraction of 5 and 5).Then the expression, with the numbers, is given as follows:
10ve y0o.
The number 10 can be interpreted as the two letters lo, as l and 1 are very similar symbols, as are 0 and o, then the updated expression is:
love y0u.
The same is applied to the final zero, as 0 and o are very similar symbols, hence the sentence that represents the expression is:
love you.
More can be learned about sentences and expressions at https://brainly.com/question/4344214
#SPJ1
A house is bought for $75000 and then resold for $87000. Calculate the percentage profit
You have $1200 for your trip to the beach. You estimate that it will cost $160 a day for food, entertainment and hotel, plus $230 round trip airfare. Write an inequality that can be used to determine the maximum number of days you can stay at the beach. Clearly indicate what the variable represents. Then Solve the inequality, and interpret your answer in a complete sentence.
Explanation
Step 1
let x represents the numbers of days you can stay at the beach
then,
You estimate that it will cost $160 a day for food, entertainment and hotel, plus $230 round trip airfare.
so
[tex]\text{total}=230+160x[/tex]but, you have only $1200, so the total needs to be smaller or equal than 1200
[tex]230+160x\leq1200\rightarrow Inequality[/tex]Step 2
solve the inequality
[tex]\begin{gathered} 230+160x\leq1200\rightarrow Inequality \\ subtract\text{ 230 in both sides} \\ 230+160x-230\leq1200-230 \\ 160x\leq970 \\ \text{divide both sides by 160} \\ \frac{160x}{160}\leq\frac{970}{160} \\ x\leq6.0625 \\ \text{rounded} \\ x\leq6 \end{gathered}[/tex]it means you can stay maximum 6 days
I hope this helps you
Please see the picture below. I need parts A B and C
We are given a graph and we are asked to determine if it is a function or not. To do that we will use the vertical line test. We will draw a vertical line and if the line touches the graph in more than two places in any given value of "x" then it is not a function. Therefore, the vertical line we get is:
Since the vertical line touches the graph in two axes this means that the given graph is not a function.
there are 100 coins and someone flips them and doesn't tell us the results. i can ask one yes/no question. after the answer i will start guessing the coin flip results. for each correct guess i get 1 dollar and for each wrong guess i lose 1 dollar. what is the best strategy to play this game and what is the maximum expected value of the return.
The answer is not 1 so it is not that simple that you can divide it into 2 equal size subsets and ask whether the final sequence is in there. From what I got through his hints, it should be related to Central Limit theorem.
Given that,
One hundred coins are flipped, but the outcome is kept a secret. I am able to pose one yes/no query. I'll begin speculating on the outcomes of the coin toss following the response. I receive $1 for each accurate guess, and I lose $1 for each unreliable guess.
To find:
What is the most effective gaming approach and what is the highest possible return on investment
By Central Limit Theorem,
It is not straightforward to divide the response into two subsets of equal size and then check to see if the final sequence is present because the answer is not 1. His indications led me to believe that it should be connected to the Central Limit theorem.
To learn more about Central Limit Theorem click here:
brainly.com/question/18403552
#SPJ4