Answers
Answer:
x = 35
Step-by-step explanation:
An hexagon has 6 sides, so (n-2) is 4, and the internal angles add up to 180° × 4 = 720°
so
4x - 5 + 117 + 3x - 3 + 3x + 6 + 118 + 4x - 3 = 720
14x + 230 = 720
14x = 720 - 230
14x = 490
x = 490 : 14
x = 35
Answer:
x=35
Step-by-step explanation:
Related Questions
a bag of the same size small balls contains 6 blue balls, 5 red balls, 5 yellow balls, and 4 green balls. What is the probability of selecting a blue or green ball on the first draw?
Answers
Explanation: We first need to add up all of the balls in the bag to get our denominator.
6 + 5 + 5 + 4 = 20
We then need to determine how many blue and green balls there are in total for our numerator.
6 blue balls + 4 green balls = 10.
So our answer is 10/20. Now we need to simplify. We need to get the greatest common multiple of 10 and 20. 10 is the greatest common multiple. We now need to divide each side by 10 to get our simplest form. 10/10 is 1 and 20/10 is 2.
Our final answer because of this is 1/2. I have converted it to a percent and a decimal. You may probably know that 1/2 is 50% and that 50% is .5 so I’ll spare you the explanation for that. Hope this helps!
How to solve -14+(-31)
Answers
Answer:
-45
Explanation:
-14 + (-31)
= -14 - 31
= -45
What is the solution to the equation below? A = 16 B. X2 CE 04
Answers
Here, we want to get the value of x
The first thing we have to do here is to isolate the root
We have this as;
[tex]\begin{gathered} \sqrt[]{x}\text{ = 12-8} \\ \sqrt[]{x}\text{ = 4} \\ (\sqrt[]{x})^2=4^2 \\ x\text{ = 16} \end{gathered}[/tex]Use the following image to answer the question.CBFGHHow would you identify IE?
Answers
Given:
Center of circle = Point O.
Let's use the image to identify line IE.
Since E is the center of the circle and point I is on the circumference of the circle, line IE starts from the point I and goes to the center of the circle, point E.
Hence, we can say line IE is the radius of the circle.
The radius of a circle can be said to be the distance from the center of a circle to any point on the circumference of the circle.
Therefore, IE is the radius of the circle.
• ANSWER:
Radius
f(x)=x^2-2x+ 3; d(x) = X-4
Answers
Answer: A1:F-IF.A.1. A1:F-IF.A.2. A1:F-IF.A.3. A1:F-IF.B.4. A1:F-IF.B.5 ... Find all the zeros of the polynomial y = x 3 - 2x 2 - 3x. A. -3, 1.
Step-by-step explanation:
One of your classmates was absent on the day that you learned how to write and solve an equation from a contextual situation. Your teacher has asked you to explain the four steps and their application to the problem that follows.
Natasha stole three fewer bases than twice the number Elena stole. If Natasha stole 15 bases, how many did Elena steal?
Using the four steps from this lesson, write and solve an equation to find the number of bases Elena stole.
Answers
e = number of bases stolen by Elena
So, n = 2e -3
So, if n=15, 15 = 2e-3 >>
e=9 bases stolen by Elena
The number of bases Elena stole is 9 if Natasha stole three fewer bases than twice the number Elena stole.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Natasha stole three fewer bases than twice the number Elena stole. If Natasha stole 15 bases,
Let n be the number of bases stolen by Natasha
Let e be the number of bases stolen by Elena.
From the data given in the question:
The linear equation in two variables can be framed:
n = 2e -3
Plug n = 15
15 = 2e - 3
After solving:
e = 9
e = 9 bases stolen by Elena
Thus, the number of bases Elena stole is 9 if Natasha stole three fewer bases than twice the number Elena stole.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ5
Simplify.n to power of 6 · n to power of 5 ÷ n to power of 4 · n to power of 3 ÷ n to power of 2 · n
Answers
The given question is
We will use the order of operations to solve the question
[tex]n^6\ast n^5[/tex]We will add their powers to make the multiplication
[tex]n^6\ast n^5=n^{6+5}=n^{11}[/tex]Now, we will divide n^11 by n^4, to do that we will subtract their powers
[tex]\frac{n^{11}}{n^4}=n^{11-4}=n^7[/tex]Then multiply n^7 by n^3 by adding their powers
[tex]n^7\ast n^3=n^{7+3}=n^{10}[/tex]Then divide it by n^2, to do that subtract their powers
[tex]\frac{n^{10}}{n^2}=n^{10-2}=n^8[/tex]At last, multiply the answer by n
[tex]n^8\ast n=n^{8+1}=n^9[/tex]The answer is n^9
Why is unit rate the only attribute we use to compare proportional relationships? Consider the graph of a
proportional relationship and the attribute(s) that all proportional relationships share to help you answer this
question.
Answers
Answer:
Step-by-step explanation:
Because its an internationally accepted method.
While working at a bakery, you are responsible for decorating cakes. You would like to add a string of flowers to the border of a round cake you are decorating. The cake has a radius of 14 inches.
What is the length, to the nearest inch, of the string of flowers you will need?
Answers
Answer:
88 inches
Step-by-step explanation:
we need to find the circumference of the cake and the formula is 2rPi
The diameter is 28 and that times pi is about 88
Hopes this help please mark brainliest
Given any two arcs, the larger of the arcs is always called a minor arcTrueFalse
Answers
When we have two arcs in a circle, one larger and one smaller, one will be called the minor arc and the other the minor arc.
The name of the arc depends on its size, for example, given the following green and yellow arcs, the green, which is smaller, will be the minor arc:
Therefore, the larger arc is always called Major arc, not minor arc.
The statement is False.
Answer: False
Express your answer as a polynomial in standard form.f(x) = x² - 7x + 14 g(x) = 4x - 9 Find: (gof)(x)
Answers
What is the variable terms in 4x-2y+3
Answers
The variables of the expression 4x-2y+3 are x and y
What is Variables?
Any qualities, quantity, or number that can be gauged or tallied qualifies as a variable. A data item is another name for a variable. Variables include things like age, sex, business revenue and expenses, country of birth, capital expenditures, class grades, eye color, and type of vehicle.
Given expression,
4x-2y+3
Variable is a representation of an unknown numerical value in an equation or algebraic statement by a symbol, typically a letter.
In this expression
4x - 2y + 3
The variable in this expression is x and y
Hence, the variables are x and y
To learn more about Variables click on the link
https://brainly.com/question/25223322
#SPJ9
The measure of <1 is greater than 97° and at most 115°. Graph the possible values of x.
Answers
Answer:
The possible values of x are 10, 11, and 12
Step-by-step explanation:
9(10) + 7 = 97
9(11) + 7 = 106
9(12) + 7 = 115
Select the statement that correctly compares two numbers. (2 points)
Group of answer choices
4.09 = 4.90
2.03 < 2.021
1.470 > 1.70
0.36 > 0.187
Answers
Answer:
the last one
Step-by-step explanation:
you have to look at which number is bigger than the other
it usually depends which number is first
ex:
3>1
0.3>0.1
0.3>0.12
Solve the system using a matrix.
-2x - 3y = -26
3x + 4y = 36
([? ],[_])
Help
Answers
Answer:
-2x-3y=-26
3x+4y=36
using matrix method
(-2 -3(x = (-26
3 4) y ) 36)
AB=C
multiplying A^-1 on both sides
A^-1AB=A^-1C
IB=A^-1C ........(¡) (AA^-1=I)
determined of A |A|=-8-(-9)=-8+9=1
adjoint of A= (4 3
-3 -2)
now
IB=A-^1C
B=adjoint A/determined of A.C
B=(4 3
-3 -2)/1 .C
B=(4 3 (-26
-3 -2). 36)
B=(-104+108
78-72)
( x (4
y) = 6)
Equating the corresponding elements of equal matrices
:.x=4
:.y=6
so the required value of x and y is 4and6.
Drag each tile to the correct box. Not all tiles will be used.
Match each function to the correct scenario.
f(x) = 10(1.025)*
f(x) = 7(1.50)*
f(x) = 50(1.07)*
f(x) = 25(1.10)*
f(x) = 15(0.25)*
f(x) = 15(1.25)*
The price of a movie ticket is currently $10 but increases at a rate of 2.5% per
year.
There are currently 15 students with laptops, and the number increases at a
rate of 25% per year.
An animal shelter has 50 dogs, and the number of dogs increases by 7% per
year.
Submit
000
Answers
The correct matching of the functions is as follows:
(A) The price of a movie ticket is currently $10 but increases at a rate of 2.5% per year: (1) f(x) = 10(1.025)(B) There are currently 15 students with laptops, and the number increases at a rate of 25% per year: (6) f(x) = 15(1.25)(C) An animal shelter has 50 dogs, and the number of dogs increases by 7% per year: (3) f(x) = 50(1.07)What are functions?In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable (the dependent variable). A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. Four broad categories can be used to classify different types of functions. One-to-one function, many-to-one function, onto function, one-to-one, and into function—all based on the element.So, matching each function with a correct scenario:
(A) The price of a movie ticket is currently $10 but increases at a rate of 2.5% per year: (1) f(x) = 10(1.025)(B) There are currently 15 students with laptops, and the number increases at a rate of 25% per year: (6) f(x) = 15(1.25)(C) An animal shelter has 50 dogs, and the number of dogs increases by 7% per year: (3) f(x) = 50(1.07)Therefore, the correct matching of the functions is as follows:
(A) The price of a movie ticket is currently $10 but increases at a rate of 2.5% per year: (1) f(x) = 10(1.025)(B) There are currently 15 students with laptops, and the number increases at a rate of 25% per year: (6) f(x) = 15(1.25)(C) An animal shelter has 50 dogs, and the number of dogs increases by 7% per year: (3) f(x) = 50(1.07)Know more about functions here:
https://brainly.com/question/22340031
#SPJ9
The correct question is given below:
Drag each tile to the correct box. Not all tiles will be used.
Match each function to the correct scenario.
f(x) = 10(1.025)*f(x) = 7(1.50)*f(x) = 50(1.07)*f(x) = 25(1.10)*f(x) = 15(0.25)*f(x) = 15(1.25)*(A) The price of a movie ticket is currently $10 but increases at a rate of 2.5% per
year.
(B) There are currently 15 students with laptops, and the number increases at a
rate of 25% per year.
(C) An animal shelter has 50 dogs, and the number of dogs increases by 7% per
year.
Submit
000
Find the variance of the following data. Round the answer to one decimal place.
Answers
Solution
For this case we have the following info:
x -4 -3 -2 -1 0 1
P(X) 0.2 0.1 0.1 0.2 0.1 0.3
We can find the variance with this formula:
[tex]\text{Var(X)}=E(X^2)-\lbrack E(X)\rbrack^2[/tex]We can find the expected value like this:
[tex]E(X)=\sum ^n_{i=1}x_iP(X_i)=-4\cdot0.2-3\cdot0.1-2\cdot0.1-1\cdot0.2+0\cdot0.1+1\cdot0.3^{}[/tex]Solving we got:
E(X)= -1.2
The second moment is given by:
[tex]E(X^2)=\sum ^n_{i=1}x^2_iP(X_i)=16\cdot0.2+9\cdot0.1+4\cdot0.1+1\cdot0.2+0\cdot0.1+1\cdot0.3[/tex]Solving we got:
E(X^2)= 5
Solving we got:
[tex]\text{Var(X)}=5-(-1.2)^2=3.56[/tex]Rounded to one decimal place we got:
3.6
What kind of compound inequality is 1-4x<21 and 5x+2>22?
Answers
The compound inequality is 5x + 2 > 22 large i.e., x > 4.
Given,
1 - 4x < 21 and 5x + 2 >22
What is Compound Inequality?
A compound inequality is an inequality that merges two inequalities either by using "and" or "or". Sometimes "and" won't be specifically mentioned but it is understood. For example, 1 < x < 3 is nothing but "x > 1 and x < 3".
To solve the above Inequality:
1 - 4x < 21 and 5x + 2 >22
Now,
1 - 4x < 21
=> 1 - 21 < 4x
=> -20 < 4x
=> x > -5
5x + 2 > 22
=>5x > 20
x > 4
Hence, The compound inequality is 5x + 2 > 22 large i.e., x > 4.
Learn more about Compound Inequality at:
https://brainly.com/question/20296065
#SPJ1
there is a stack of cards, each given a different number 1-10, suppose we select a card randomly from the stack, replace it, then randomly select a card. what is the probability that the 1st card is an ODD number and the second card is Less then 5?
Answers
Given that:
- A stack of different cards numbered from 1 to 10.
- A card is randomly selected and then replaced. Then another card is randomly selected.
• You need to find the probability that the first card is an odd number.
By definition, Odd Numbers are those numbers that cannot be divided by 2. In this case, these are:
[tex]1,3,5,7,9[/tex]Knowing that the total number of cars is:
[tex]10[/tex]You can set up:
[tex]P(X=ODD)=\frac{5}{10}[/tex]Then:
[tex]P(X=ODD)=\frac{1}{2}[/tex]• You need to find the probability that the second card is less than 5.
Notice that the numbers cards from the stack that are less than 5 are:
[tex]1,2,3,4[/tex]Therefore, you can set up that:
[tex]\begin{gathered} P(X<5)=\frac{4}{10} \\ \\ P(X<5)=\frac{2}{5} \end{gathered}[/tex]• Now you can set up:
[tex]P=\frac{1}{2}\cdot\frac{2}{5}[/tex]Solving the Multiplication, you get:
[tex]\begin{gathered} P=\frac{1\cdot2}{2\cdot5} \\ \\ P=\frac{2}{10} \\ \\ P=\frac{1}{5} \end{gathered}[/tex]Hence, the answer is:
[tex]P=\frac{1}{5}[/tex]I want help answering part c on question 5 to figure out what the measure of angle ROS is
Answers
We are given a system of acute angles and are asked to intuitively resolve the different unknown angles while we know some.
Our approach is to create a system of equations that will help us easily separate the different angles as much as possible.
[tex]undefined[/tex]The ordered pair (__, - 5) is a solution of the equation x = 3.
Answers
Answer:
(3, -5)
explanation:
the equation only shows x
the ordered pair is made up of (x,y)
The perimeter of a rectangle is 260 feet find the length and width if the length is an even integer in the width is 5 times the next consecutive even integers
Answers
The rectangle is 20 feet long and 50 feet wide.
Let the length be x. So, the next consecutive integer will be (x + 2). Width of rectangle = 5(x + 2). As per the formula, perimeter of rectangle is 2(length + breadth).
Keep the values in formula to find the value of x.
2(x + 5(x + 2)) = 260
Firstly solving the inner bracket
2(x + 5x + 10) = 260
Now again opening the bracket
2x + 10x + 20 = 260
Performing addition
12x = 260 - 20
Performing subtraction
12x = 240
x = 240 ÷ 12
Performing division
x = 20
Length of rectangle = 20 feet
Width of rectangle = 2(20 + 5)
Width of rectangle = 2×25
Width of rectangle = 50 feet
So, the length and width of rectangle is 20 feet and 50 feet.
Learn more about rectangle -
https://brainly.com/question/25292087
#SPJ1
Find the hypotenuse where relevant, give your answers to 3 significant figures.
Answers
The Pythagorean Theorem states that for Right Triangles:
[tex]c^2=a^2+b^2[/tex]Where "c" is the hypotenuse (the longest side of the triangle), and "a" and "b" are the legs of the Right Triangle.
In this case, you can see that the exercise provides the length of the legs of the Righ Triangle, but you don't know the hypotenuse. Then, you can set up that:
[tex]\begin{gathered} a=6\operatorname{cm} \\ b=8\operatorname{cm} \end{gathered}[/tex]Therefore, you can substitute values into the equation that represents the Pythagorean Theorem and solve for the hypotenuse:
[tex]\begin{gathered} c^2=(6\operatorname{cm})^2+(8\operatorname{cm})^2 \\ c=\sqrt[]{(6\operatorname{cm})^2+(8\operatorname{cm})^2} \\ \\ c=\sqrt[]{100\operatorname{cm}^2} \\ c=10\operatorname{cm} \end{gathered}[/tex]Hence, the answer is:
[tex]c=10\operatorname{cm}[/tex]if (sin theta + cos theta)^2 =5/2 then sin theta cos theta =?
Answers
Given:
[tex](\text{sin}\theta+\cos \theta)^2\text{ = }\frac{5}{2}[/tex]Let's solve for sin θ cosθ
First expand the parenthesis:
[tex]\begin{gathered} (\sin \theta+\cos \theta)^2\text{ = }\frac{5}{2} \\ \\ (\sin \theta+\cos \theta)(\sin \theta+\cos \theta)\text{ = }\frac{5}{2} \\ \\ \sin ^2\theta+\sin \theta cos\theta+\sin \theta\cos \theta+\cos ^2\theta\text{ = }\frac{5}{2} \\ We\text{ know: +}\cos ^2\theta+sin^2\theta=1 \\ ^{}\sin \theta cos\theta+\sin \theta\cos \theta\text{ +}\cos ^2\theta+sin^2\theta\text{ = }\frac{5}{2} \\ 2\sin \theta cos\theta+1\text{ = }\frac{5}{2} \end{gathered}[/tex][tex]\begin{gathered} \\ 2\sin \theta\cos \theta\text{ + 1 = }\frac{5}{2} \\ \\ 2\sin \theta\cos \theta\text{ = }\frac{5}{2}-1 \\ \\ 2\sin \theta\cos \theta=\text{ }\frac{3}{2} \\ \\ \sin \theta\cos \theta\text{ = }\frac{3}{2}\ast\frac{1}{2} \\ \\ \sin \theta\cos \theta\text{ = }\frac{3}{4} \\ \\ \end{gathered}[/tex]ANSWER:
[tex]\frac{3}{4}[/tex]A restraurant Buys 56 Pounds of Beef at $1.12/ Pound and 24 quarts of Milk at $.90 quart. how Much Money was spent?
Answers
Answer:
Step-by-step explanation:
1.12 * 56 = 62.72
.90 * 24 = 21.60
62.72 + 21.60 = $84.32
What’s the correct answer answer asap
Answers
Answer: its Protein Channels sir
Step-by-step explanation:
I need help with one of my statistics homework questions?
Answers
Variance = 209.89
Standard Deviation=14.4875
Explanation:
The graph of a function is shown below . What is true about the function between x=1 and x=5
Answers
The true statement about the function between x = 1 and x = 5 is that the function decreases at this interval
How to interpret the graph?The graph of a function represents the given parameter
Also, we have the interval to be
x = 1 and x = 5
From the function, we can see that
f(5) < f(1)
This means that:
The function values decrease from x = 1 to x = 5
The general conclusion of this is that this interval represents a decrement in the values of the function
Read more about function at
https://brainly.com/question/1503051
#SPJ1
A cereal box says that now it contains 20% more. Originally, it came with 18.5 ounces of cereal. How much cereal does the box come with now? Explain your reasoning.
Answers
Percentages can be expressed as decimals. Percentage of something can be found by multiplying the number by the decimal.
20% = 0.20
20%(18.5)
0.20(18.5)
3.7
Since this is a 20% increase, we will add this to the original value.
18.5 + 3.7 = 22.2
Luke ate a snack with 91 calories If the chips he ate were 41.2 calories were in the rest of his snack?
Answers
We have
91 calories in total
he ate 41.2 calories
we need to subtract
91 calories - 41.2 calories= 49.8
There are 49.9 calories in the rest of this snack
