The value of x given that the sum of exterior angle is 360 is 27
Sum of exterior angle of a pentagonSum of exterior angle of a pentagon is 360°. Taking the sum of the angles and equating to 360 degrees, we will have:
2x - 20 + 2x + 50 + 3x + 10 + 3x + 50 = 360
Collect the like terms
10x + 90 = 360
Subtract 90 from both sides
10x + 90 - 90 = 360 - 90
10x = 270
x = 27
Hence the value of x given that the sum of exterior angle is 360 is 27
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Fans of the X-Men movies have been debating on an online forum regarding which of the films is the best. To see what the overall opinion is, visitors to the site can rank the four films in order of preference. The results are shown in the preference schedule below.
Fans of X-Men movies have been debating the best X-Men movie on an online forum. To see what the overall opinion is, visitors to the site were able to rank the four films in order of preference.
The result of the preference schedule is essential in finding the best movie according to the majority's opinion.
It is important to note that the preference schedule shows that the best X-Men movie can be determined through visitors ranking the four films in order of preference.
To determine the best X-Men film, you can start by looking at the film that received the most first-place rankings. This film is likely to be the favorite among the voters. If there is a tie for the most first-place rankings, you can consider the film that received the most second-place rankings, and so on.
By analyzing the preference schedule and considering the rankings for each film, you can identify the film that received the highest overall ranking and declare it as the best X-Men film according to the preferences of the voters.
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Find the circumference and area of the circle. Use 3.14 or 22/7 for π.
Answer:
circumference: 62.8 ftarea: 314 ft²Step-by-step explanation:
The circumference is given by the formula ...
C = πd
Using the given numbers, the circumference is ...
C = (3.14)(20 ft) = 62.8 ft
__
The area is given by the formula ...
A = πr² . . . . . where radius r is half the diameter
Using the given numbers, the area is ...
A = 3.14(10 ft)² = 314 ft²
It costs $10 to make earphones, and the start-up costs for manufacturing are $5,000. How many earphones must be produced to get to a cost per unit of $20 a. 100 b. 30 c. 200 d. 500
With that information we can create the equation
10x + 5000 = 20x
where x is the number of earphones produced
10x is the cost to make each earphone, 5000 being the fixed costs of manufacturing, and 20x being the total revenue of selling each earphone for $20
Now to solve the equation:
subtract both sides by 10x
10x - 10x + 5000 = 20x - 10x
5000 = 10x
Now divide both sides by 10
5000/10 = 10/10 x
500 = x
Answer: D
Hope it helps :)
500 earphones must be produced to get the cost price of one ear phone of $20.
What is linear equation in one variable?The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.
According to the given question
The start-up costs for manufacturing earphones is $5,000.
Also, the cost to make earphones is $10.
Let x number of earphones will produced to get a cost per unit of $20.
From the given conditions, we will get a linear equation in one variable
10x + 5000 = 20x
⇒ 5000 = 20x -10x
⇒ 5000 = 10x
⇒ x = 500
Hence, 500 earphones must be produced to get the cost of earphone of $20.
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factorise the following
3(x+2y)^2-5(x+2y)+2
The given expression \(3(x+2y)^2 - 5(x+2y)\) + 2 can be factorized as (x + 2y - 1)(3x + 6y - 2).
To factorize the given expression, let's consider it as a quadratic equation in terms of the variable (x+2y). We'll use the quadratic factoring method.
Let's denote (x+2y) as a single variable, say 'u'. Then the expression becomes:
3u^2 - 5u + 2
To factorize this quadratic expression, we look for two numbers that multiply to give 2 * 3 = 6 and add up to give -5.
The two numbers are -2 and -3, as (-2) * (-3) = 6 and (-2) + (-3) = -5.
Now, we can rewrite the expression using these two numbers:
3u^2 - 5u + 2
= 3u^2 - 3u - 2u + 2
Next, we group the terms:
(3u^2 - 3u) + (-2u + 2)
Now, we factor out the common terms from each group:
3u(u - 1) - 2(u - 1)
Notice that we have a common binomial factor of (u - 1):
(u - 1)(3u - 2)
Substituting back 'u' with (x+2y), we get the final factorized form of the expression:
(x + 2y - 1)(3x + 6y - 2)
Therefore, the given expression 3(x+2y)^2 - 5(x+2y) + 2 can be factorized as (x + 2y - 1)(3x + 6y - 2).
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which equation best represents the equation of the line? please help!
Answer:
y = 1/3x -1
Step-by-step explanation:
Let’s look at this in y = mx + b form. b is the y-intercept and we see that it intersects with the y-axis at (0,-1), so b = -1. The slope is 1/3 because for every 3 units it ”runs,” it rises by 1, so m = 1/3. Substituting, we get: y = 1/3x -1.
I hope this helps! :)
Answer: y = 1/3x -1
Step-by-step explanation:
1. Find the y-intercept (the value of y when x = 0). For this graph, when x = 0, y = -1. -1 would be the b value in the equation mx + b. Thus, the equation could the either the second or third option.
2. Slope
Since y increases as x increases, the line has a positive slope. Since we narrowed the answer down to two options, and the second option has a negative slope, the third option would best represent the equation of the line.
What is the final selling price of a $150 phone with 230% markup and then 7% sales tax
Answer:
sorry i don't know
Answer:369.15
Step-by-step explanation:
Find the missing value in the ratio table. Then write the equivalent ratios. Boys 1 Girls 5 10 The equivalent ratios are 1: 5 and
Lets make a graph
Boys Girls
1 5
2 ?
2*5=10
Therefore, its
Boys Girls
1 5
2 10a train can travel at a rate of 85 miles per hour at this rate how many hours would it take the train to go 102 miles
Given:
Speed of train = 85 miles per hour
Total distance = 102 miles
To find:
The time taken by train to cover 102 miles.
Solution:
We know that,
\(Speed=\dfrac{Distance}{Time}\)
On substituting the values, we get
\(85=\dfrac{102}{Time}\)
\(Time=\dfrac{102}{85}\)
\(Time=1.2\)
Therefore, the time taken by train to cover 102 miles is 1.2 hours.
Put these fractions in order of size smallest to largest 1/4 a) 1/2 b) 1/3 c)
Answer:
smallest to largest would be 1/4, 1/3, 1/2
Step-by-step explanation:
What is the range of the graph?
Answer:
I really don't know look it up
Answer:
should be [0, to positive infinity)
Step-by-step explanation:
x ⋅ x = ?
2x
x2
x(x + 2)
x + 2
Answer:
x^2Step-by-step explanation:
\(x\cdot x \\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\\\xx=\:x^{1+1}\\\\\mathrm{Add\:the\:numbers:}\:1+1=2\\\\=x^2\)
Answer:
x^2
Step-by-step explanation:
A recipe uses 3/8 cup of water and 4 cups of flour. Write the ratio of water to flour as 3/8 described by the recipe. Then find the value of the ratio.
The ratio and the value is 3 : 32
How to determine the ratio and the valueFrom the question, we have the following parameters that can be used in our computation:
Reciper = 3/8 cup of water and 4 cups of flour
When represented as ratio, we have
Water : Flour = 3/8 : 4
Multiply by 8
This gives
Water : Flour = 3 : 32
Hence, the ratio is 3 : 32
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Factor find GCF
6w-15w
7x-3x
Answer:
3w
x
Step-by-step explanation:
Hi there!
6w-15w
Here, both the terms can be divided by w.
6-15
They can also both be divided by 3.
2-3
Because 2 and 3 have no common factor, the GCF is therefore 3w.
7x-3x
Both the terms can be divided by x.
7-3
Because 7 and 3 have no common factor, the GCF is therefore x.
I hope this helps!
Verify that the intermediate Value Theorem applies to the indicated interval and find the value of c guaranteed by the theorem. f(x)=x^2+7x+2,[0,7],f(c)=32
Therefore, there are two values, c = 3 and c = -10, in the interval [0, 7] such that f(c) = 32.
To verify the Intermediate Value Theorem for the function \(f(x) = x^2 + 7x + 2\) on the interval [0, 7], we need to show that there exists a value c in the interval [0, 7] such that f(c) = 32.
First, let's evaluate the function at the endpoints of the interval:
\(f(0) = (0)^2 + 7(0) + 2 \\= 2\\f(7) = (7)^2 + 7(7) + 2 \\= 63 + 49 + 2 \\= 114\)
Since the function f(x) is a continuous function, and f(0) = 2 and f(7) = 114 are both real numbers, by the Intermediate Value Theorem, there exists a value c in the interval [0, 7] such that f(c) = 32.
To find the specific value of c, we can use the fact that f(x) is a quadratic function, and we can set it equal to 32 and solve for x:
\(x^2 + 7x + 2 = 32\\x^2 + 7x - 30 = 0\)
Factoring the quadratic equation:
(x - 3)(x + 10) = 0
Setting each factor equal to zero:
x - 3 = 0 or x + 10 = 0
Solving for x:
x = 3 or x = -10
Since both values, x = 3 and x = -10, are within the interval [0, 7], they satisfy the conditions of the Intermediate Value Theorem.
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what is the greatest common factor of 24, 30 and 50
The greatest common factor (GCF) of two or more numbers is the largest number that divides evenly into each of the numbers without leaving a remainder. To find the GCF of 24, 30 and 50, we can use the prime factorization method. The prime factorization of 24 is 2^3 * 3^1, the prime factorization of 30 is 2 * 3^1 * 5^1, and the prime factorization of 50 is 2 * 5^2. We can see that the GCF of these numbers is 2 * 3^1 = 6, since 6 is the highest power of 2 and 3 that divides all three numbers evenly. So, the GCF of 24, 30 and 50 is 6.
I hope this helps :)
Answer:
2
Step-by-step explanation:
I did the work.
given a complete deck of cards, the probability of drawing the ace of diamonds is 1/52. based on this probability, what are the odds for this event?
Answer:
4/13 or .308
Step-by-step explanation:
Ellen has a pencil 2x + 1/5cm long. Tom has a pencil 5x + 2/5cm long. How much longer is Tom's pencil than Ellen's?
The difference of length of Tom's pencil from Ellen's pencil is given by the equation A = 3x + 1/5 cm
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the difference of length be represented as A
Now , the equation will be
The length of Ellen's pencil is p = 2x + 1/5 cm
The length of Tom's pencil is q = 5x + 2/5 cm
Now , the difference of length A = q - p
Substituting the values in the equation , we get
The difference of length A = 5x + 2/5 cm - 2x + 1/5 cm
On simplifying the equation , we get
The difference of length A = ( 5x - 2x ) + ( 2/5 - 1/5 ) cm
The difference of length A = 3x + 1/5 cm
Therefore , Tom's pencil is longer than Ellen's pencil by 3x + 1/5 cm
Hence , the equation is A = 3x + 1/5 cm
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factor -24a - 16b + 40
Answer:
=8(−3a−2b+5)
Step-by-step explanation:
Rewrite the 40 as 5*8.
Rewrite -16 as 2*8
Rewrite -24 as 3*8
= 3* 8a+2*8b+5*8
8(−3a−2b+5)
[Inequalities]
Please help and thanks.
Answer:
n>11
Step-by-step explanation:
−9+n>2
Add 9 to both sides.
n>2+9
Add 2 and 9 to get 11.
n>11
Answer:
n>11
Step-by-step explanation:
−9+n>2
n>2+9
n>11
hope this helps! <33
Un técnico de reparaciones de electrodomésticos cobra 25 € por la visita, más 20 € por cada hora de trabajo. A) Escribe la expresión algebraica (fórmula) que nos da el dinero que le tenemos que pagar en total de acuerdo con el tiempo que esté trabajando
Answer:
x= 25+20y
Step-by-step explanation:
De acuerdo a la situación planteada, la expresión algebraica debe indicar que 25€ que es el valor por la visita más 20€ multiplicado por el número de horas trabajadas es igual al dinero total que se debe pagar. La expresión es:
x= 25+20y, donde
x= valor total a pagar
y= número de horas trabajadas
An art gallery has 18 paintings and 4 photographs displayed un equal rows on a wall with the same number of each tape of art in each row. what could be the number of rows
The number of rows in the art gallery could be 2. The common factor between 18 and 4 is 2.
Let's assume the number of rows in the art gallery is represented by the variable "r".
According to the given information, there are 18 paintings and 4 photographs displayed in equal rows on the wall, with the same number of each type of art in each row.
To find the number of rows, we need to determine a common factor that evenly divides both 18 and 4.
The factors of 18 are 1, 2, 3, 6, 9, and 18.
The factors of 4 are 1 and 2.
The common factor between 18 and 4 is 2.
Since we want the same number of each type of art in each row, the number of rows (r) will be equal to the common factor, which is 2.
Therefore, the number of rows in the art gallery could be 2.
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what are the steps to 50p+5=225 in an equation
Answer:
p = 22/5
Step-by-step explanation:
50p+5=225
Subtract 5 from each side
50p+5-5=225-5
50p = 220
Divide by 50
50p/50 = 220/50
p = 22/5
Answer:
50p+5=225
(50p+5) + (-5) =225 + (-5)
50p + 5 - 5 = 225 - 5
50p = 220
(fraction: 50p/50 = fraction: 220/50)
Sorry but you need to finish it because i cant do exponits sorry...
Determine how many terms the geometric series has, and then find the sum of the series
0.3 + 0.03 +0.003 +.+ 0.000003
Answer:
0.333003
Step-by-step explanation:
0.3
+ 0.03
+ 0.003
+ 0
+ 0.000003
------------------------
0.333003
Consider the equation y = negative 2 x + 5. Create a table of five ordered pairs that satify the equation. What is the slope of the line represented by the equation? a. M = 2 b. M = 5 c. M = negative 2 d. M = negative 5.
Answer: C
Step-by-step explanation:
Slope is the number right in front of x, which in this case would be -2. So C is the answer.
Creating a table is hard, so I'll try my best. Just pretend the vertical line is connected.
x|y
0|5
1|3
2|1
3|-1
4|-3
You have a mortagege of $275,000
after down payment with an interest
rate of 3% for 30 years.
What does P, r,n, and t are equal to?
Answer:
Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this
Step-by-step explanation:
How many dominos are needed to complete the triangle?
Only 3 is needed
Step-by-step explanation:
Answer:
B. 6
Detailed explanation:
Alright, so using the Pythagorean theorem, \(c^{2} =a^{2} +b^{2} \) in this case, we have the "c" and "b" of the triangle. Therefor, we are looking for "a"
so, to solve the problem, simply begin by substituting what you already have:
\(10^{2} =a^{2} +8^{2} \)
Now that this is substituted, The next step is to go ahead and find the values after solving the exponents:
\(10^{2} =100\\ 8^{2}=64\)
Now, we need to find the value of "a".
In this case, we are provided with 4 options and one of them has to be correct.
If "a"=12 then "a squared" would equal 144.
the statement 100=144+64 is incorrect.
If "a"=6 then "a squared" would be 36.
The statement 100=36+64 is correct.
If "a"=36 the "a squared" would be 1296.
The statement 100=1296+64 is incorrect.
If "a"=18, then "a squared" would be 324.
The statement 100=324+64 is incorrect.
Therefor, the answer is B.6
Hope this helps ^-^
how do you do 7.8 plus 917.62
The value of the addition of the numbers 7.8+917.62 will be 925.42.
What is addition?The method of increasing the number is called the addition. or the sum of the two numbers is termed as the addition.
The addition of the numbers will be done as:-
917.62
+7.80
925.42
First, arrange the number one to another then add from the unit places you will get your answer.
So the addition of the numbers will be 925.42
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What is the equivalent form of the mathematical expression 14 + 35?
Group of answer choices
2(7 + 17)
14(1 + 21)
7(2 + 5)
10(4 + 15)
Answer:
7(2 +5)
Step-by-step explanation:
Both the numbers (14 and 35) have a GCF (greatest common factor) of 7. If you divide both numbers by 7, you get 2 and 5. Therefore, your answer would be 7(2 +5)
Answer:
I guess it is A because it is the closest to the answer for the expression 14 + 35.
Step-by-step explanation:
.
What is the solution set of 4x = y and 2x - y=0
Answer:
x = 0 , y = 0
Step-by-step explanation:
given:
\(4x = y \\\\2x - y = 0\\\\Substitute \ y\ =\ 4x\ in \ second \ equation :\\2x - 4x = 0\\\\-2x = 0\\\\x = 0, \\y = 0\)
what is (4/9)^2 as fraction
Answer:
22/9
Step-by-step explanation: