Answer:
140
Step-by-step explanation:
We first find out how much degrees altogether in the pentagon so we do
S = (n-2) x 180
s is the sum in the shape
n is the number of sides
S = (5-2) x 180
S = 3 x 180
S =540
Now that we have the sum we can add all the sides, first lets make the side ABC = x and side BCD = 2x:
115 + 125 + 90 + x + 2x = 540
330 + 3x = 540
3x = 540 - 330
3x = 210
x = 70
Now that we know x = 70 we can find side BCD, it says its is 2 x angle ABC
so we do 2x70 = 140
so Angle BCD = 140
I hope i did this correctly.
Ellen takes a multiple-choice quiz that has 4 questions, with 3 answer choices for each question. What is the probability that she will get exactly 1 answer correct by guessing? Probabilities should be entered as fractions in simplest form, decimals rounded to the nearest thousandth, or percents rounded to the nearest tenth.
Answer: The probability is 32/81, or 0.395 in decimal form
Step-by-step explanation:
Each question has 3 answers.
one of the answers is correct, and 2 are incorrect.
Then the probability of selecting at random the correct answer, is equal to the quotient between the number of correct answers and the total number of answers, this is:
p = 1/3.
Then the probability of answering wrong is:
q = 1 - 1/3 = 2/3.
Now, we want to find the probability of answering exactly one question correctly.
Let's suppose that Ellen answers correctly the first question, and incorrectly the other 3.
then we have the probability 1/3 one time, and the probability 2/3 3 times.
And as we know, the joint probability will be equal to the product of the individual probabilities, this is:
P = (1/3)*(2/3)*(2/3)*(2/3).
But this is for the case where only the first one is answered correctly, we also have the cases where:
the 2nd is the only one answered correctly
the 3rd is the only one answered correctly
the 4th is the only one answered correctly.
Then we have 4 permutations, which means that the actual probability of answering only on question correctly is:
P' = 4*P = 4*(1/3)*(2/3)*(2/3)*(2/3) = (4*2*2*2)/(3*3*3*3) = 32/81 = 0.395
mr brown and his 2 children are going to london by train
an adult ticket costs £24.
an child ticket costs £12
mr brown has a family railcard
family railcard gives : 1/3 off adult tickets
60 percent off child ticket
work out the total cost of the tickets when mr brown uses his family railcard
Answer:
The total cost will be equal to 25.6£
Step-by-step explanation:
In order to solve this question we will have to figure out the cost of the adult ticket and the children tickets when the railcard is used. For this we do the following.....
Let "a" be the cost of the adult ticket after using the railcard
Let "b" be the cost of the children ticket after using the railcard.
a = 24£ - (24£ x [tex]\frac{1}{3}[/tex]) = 24£ - 8£ = 16£
b = 12£ - (12£ x [tex]\frac{6}{10}[/tex]) = 12£ - 7.2£ = 4.8£
Now the total cost will be equal to the sum of an adult ticket and two children tickets after the railcard is used, so .....
Total cost = a + 2b = 16£ + 2(4.8£)= 16£ + 9.6£ = 25.6£
|-4 + 3| · 8.
iiiiiiiiiiiii nnnnnnnnnnneeeeeeeeeeeeeddddddddddd hhhhhhhheeeeeeelllllllllllllpppppppp nnnnnnnnnooooooowwwwwwwww!!!!!!!!!!!!!11
Answer:
8
Step-by-step explanation:
-4+3=-1
|-4+3|=1
|-4+3|•8=8
(|) the vertical line represent absolute value if it is a negative number inside the vertical lines it gives a positive number
Examples:
|-1|=1
|-4|=4
Hope you understand
Answer:
bruh are you seriously in 5th grade?
Step-by-step explanation:
Ez it's -1·8
I’ll give BRAINLIEST just pls help :(
Answer:
September
December
May and December
Step-by-step explanation:
I am not sure about the last one
which equation is modeled
Answer:
The answer is B
Step-by-step explanation:
4x (green, left)
-2 (red, left)
=
2x (red, right)
6 (orange, right)
Hope that helps
I need help I’m timed
what is the y- intercept of the linear function?
y= 1/2 x + 4
Answer: (0,4)
Step-by-step explanation:
7.5d = 2.5d Lin divided each side by 2.5d and Elena subtracted 2.5d from each side with both leads to the solution
Answer:
Elena's move will lead to the solution of the problem
Step-by-step explanation:
To solve the equation 7.5d=2.5d, Lin divides each side by 2.5d, and Elena subtracts 2.5d from each side. Will both moves lead to the solution? Explain your reasoning
Given:
7.5d = 2.5d
Lin divides each side by 2.5d, Lin:
7.5d / 2.5d = 2.5d / 2.5d
3 = 1
This can not be the solution to the problem because 3 can not be Equal to 1
Elena subtracts 2.5d from each side
7.5d = 2.5d
7.5d - 2.5d = 2.5d - 2.5d
5d = 0
This can lead to the solution of the problem
Elena's move will lead to the solution of the problem
John wants to draw a circle graph showing his friends favorite ice cream flavors. When he polled his friends asking each their favorite flavor of ice cream, 35% of his friends aid chocolate, 20% of his friends said vanilla, 15% of his friends said Strawberry, 25% of his friends said mint chocolate chip, and 5% of his friends said flavors other than those previously listed. What will be the degree measure of the vanilla sector of the circle graph?
Answer:72
Step-by-step explanation:
I need help I don’t understand
Answer:
Step-by-step explanation:
let the other point be (x,y)
then
[tex]2=\frac{0+x}{2} \\x=4\\2=\frac{-2+y}{2} \\y-2=4\\y=4+2=6\\so ~other ~end ~is ~ (4,6)[/tex]
Which of the following models the sequence -5, -7, -9, -11, ...?
Answer:
-13, -15, -17, -19, -21
Step-by-step explanation:
keep going but just add two :)
If the school supply kit regularly cost $25 how much does it cost after the 20% discount
The amount of the school supply kit after the discounted price is $ 20
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 amount of the school supply kit be A
The value of A is $ 25
The percentage discount of the school supply kit = 20 %
So , the value of the percentage amount is given by the equation
The cost of the school supply kit after discount = ( amount of the school supply kit - ( percentage discount of the school supply kit x amount of the school supply kit ) )
Substituting the values in the equation , we get
The cost of the school supply kit after discount = 25 - ( 20/100 x 25 )
The cost of the school supply kit after discount = 25 - ( 25 x 0.2 )
The cost of the school supply kit after discount = 25 - 5
The cost of the school supply kit after discount = $ 20
Therefore , the discounted price is $ 20
Hence ,
The amount of the school supply kit after the discounted price is $ 20
To learn more about equations click :
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Write an expression for the perimeter of the triangle shown below:
A triangle is shown with side lengths labeled 0.3x plus 24, 5x, and 0.2x minus 15.
Answer: The expression is 5.5x + 9 for the perimeter of the triangle described.
Step-by-step explanation: Add the three lengths given to find the perimeter.
0.3x + 24,
+ 5x,
+ 0.2x - 15 Combine like terms
=5.5x + 9
Answer:
The perimeter is the sum of all sides.
Step-by-step explanation:
What is the solution to this system of equations?
o 14. - 1/2)
0 (4,-
Ono solution
infinitely many solutions
Answer:
one solution
Step-by-step explanation:
Given the equations
1/4x + 1 1/2y =5/8 ..... 1
3/4x - 1 1/2y =3 3/8 ..... 2
Get the value of x
Add both equations
1/4x + 3/4x = 5/8+3 3/8
4x/4 = 5/8+27/8
x = 32/8
x= 4
Substitute x = 4 into equation 1
From 1;
1/4x + 1 1/2y =5/8 .
1/4(4) + 3/2 y = 5/8
1 + 3/2 y = 5/8
3/2 y = 5/8 - 1
3/2 y = -3/8
Cross multiply
24y = -6
y = -6/24
y = -1/4
Hence the solution {x,y) is (4, -1/4)
The system has only one solution
probability someone help?
Answer:
40%
Step-by-step explanation:
The total cost of renting a banquet hall is a function of the number of hours the
hall is rented. The owner of the banquet hall charges $45 per half hour up to a
maximum of 5 hours and a $50 cleaning fee. The equation used to express the
situation is C = 45h + 50, where h is the number of half hours. What is the
greatest value in the range for this situation?
9514 1404 393
Answer:
$500
Step-by-step explanation:
The greatest rental time is 5 hours, which is 10 half-hours. The value of C for h=10 is ...
C = 45·10 +50 = 450 +50 = 500
The greatest value in the range for this situation is $500.
2x/3 < 10
Solve the inequality
Answer:
x < 15
Step-by-step explanation:
we want to isolate x, so we get rid of the 3, that is being divided by 2x, we take it to the other side to multiply.
2x < 10 x 3
2x < 30
we move the 2 that is multiplying x to the other side, since it was multiplying, we make inverse operations and now the 2 will divide 30
x < 30 ÷ 2
x < 15
Answer:
x=15 or false
Step-by-step explanation:
In order to find x you have to get the x by itself. To do this you multiply 3 on both sides this gives you 2x<30. Then you divide by 2, this gives you x=15. Then in order to find whether or not the inequality is true you have to plug x back in. 2(15)/3<10 is equal to 30/3=10 which leads to 10<10, which is false.
What is the first step to Solving Word Problems?
a. Check that your answer makes sense.
b. Identify what you're trying to find.
c. Solve the problem.
d. Read the problem carefully.
e. Make a plan?
Answer:
D
Step-by-step explanation:
You can't check to see if your answer makes sense if there is no answer. You can't identify what your trying to find if you don't know the question. If you just solve the problem then you will probably get a bad grade. If you make a plan you need to know what your doing first so reading the problem carefully is the right answer.
Andre took a trip from Boston, Massachusetts to Paris, France. In 6 2/3 hours, the plane flew 3,669 4/5 miles. How far had the plane traveled in 1 hour?
550 47/100 miles per hour.
Answer:
550.47
Step-by-step explanation:
3669 4/5 ÷ 6 2/3 = 550.47
Hope this helps:)
Which of the following equations is equivalent to 4x -y=3`?
Answer:
x-intercept = (3/4,0)
y'intercept = (0,-3)
Step-by-step explanation:
Not sure what conversion you need but here are the intercepts
Please help me thank you
Answer:
the answer is A
Step-by-step explanation:
they are 3 sets of 2.3. the 5 at the top represents the number of 2.3s that r there. so the answer is A
What is the square root of 10,000 in simplest radical form?
Answer:
Step-by-step explanation:
the answer is 100
Find the length of RS 40 10 9 8 A. 73 units B. About 8.5 units C. About 3.3 units D. 11 units
Answer:
4,9
Step-by-step explanation:
Answer:
It's B
Step-by-step explanation:
A 5-foot piece of string costs $4.20. What is the price per inch?
Answer:
$0.035
Step-by-step explanation:
Answer: 0.84 cents per inch
Step-by-step explanation: Just do division to get your answer:)
I need the value of X
Answer:
31
Step-by-step explanation:
x+24+4x+1=180
5x+25=180
5x=155
x=155/5=31
What are the exact solutions of x2 − 5x − 7 = 0, where x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a
Answer:
[tex]x = \frac{5 + \sqrt{53}}{2}[/tex] or [tex]x = \frac{5 - \sqrt{53}}{2}[/tex]
Step-by-step explanation:
Given
[tex]x^2 - 5x - 7 = 0[/tex]
Required
Solve for x using:
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
First, we need to identify a, b and c
The general form of a quadratic equation is:
[tex]ax^2 + bx + c = 0[/tex]
So, by comparison with [tex]x^2 - 5x - 7 = 0[/tex]
[tex]a = 1[/tex] [tex]b = -5[/tex] [tex]c = -7[/tex]
Substitute these values of a, b and c in
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]x = \frac{-(-5) \± \sqrt{(-5)^2 - 4 * 1 * -7}}{2 * 1}[/tex]
[tex]x = \frac{5 \± \sqrt{25 +28}}{2}[/tex]
[tex]x = \frac{5 \± \sqrt{53}}{2}[/tex]
Split the expression to two
[tex]x = \frac{5 + \sqrt{53}}{2}[/tex] or [tex]x = \frac{5 - \sqrt{53}}{2}[/tex]
To solve further in decimal form, we have
[tex]x = \frac{5 + 7.28}{2}[/tex] or [tex]x = \frac{5 - 7.28}{2}[/tex]
[tex]x = \frac{12.28}{2}[/tex] or [tex]x = \frac{-2.28}{2}[/tex]
[tex]x = 6.14[/tex] or [tex]x = -1.14[/tex]
Please help me ! Please!
Answer:
B) 19
Step-by-step explanation:
The first step is to substitute 2 for x into the equation. f(2) = 2(3^2)+1
The second step is to square 3 which equals 9. f(2) = 2(9)+1
The third step is to multiply 2 by 9 which equals 18. f(2) = 18+1
The fourth step is to add 18+1 which equals 19. f(2) = 19
Someone please help me with this!
Which statement best describes the function?
Answer:
A.) The function is Nonlinear
Step-by-step explanation:
a function is a bunch of ordered pairs of things (in our case the things will be numbers, but they can be otherwise), with the property that the first members of the pairs are all different from one another. A function is an equation that has only one answer for y for every x. A function assigns exactly one output to each input of a specified type. It is common to name a function either f(x) or g(x) instead of y. f(2) means that we should find the value of our function when x equals 2. Functions are used because of following reasons – a) To improve the readability of code. b) Improves the reusability of the code, same function can be used in any program rather than writing the same code from scratch. c) Debugging of the code would be easier if you use functions, as errors are easy to be traced. In mathematics and science, a nonlinear system is a system in which the change of the output is not proportional to the change of the input. Nonlinear problems are of interest to engineers, biologists, physicists, mathematicians, and many other scientists because most systems are inherently nonlinear in nature. Material nonlinearity involves the nonlinear behavior of a material based on a current deformation, deformation history, rate of deformation, temperature, pressure, and so on. Examples of nonlinear material models are large strain (visco) elasto-plasticity and hyperelasticity (rubber and plastic materials). also nonlinear. adjective. If you describe something as non-linear, you mean that it does not progress or develop smoothly from one stage to the next in a logical way. Instead, it makes sudden changes, or seems to develop in different directions at the same time.
Example: Solve the linear equation 3x+9 = 2x + 18.
Example: Solve the nonlinear equation x+2y = 1 and x = y.
Lucinda is saving money for a hot-air balloon trip to celebrate her graduation. She needs $300 dollars. Express this amount as an integer. Is this represented by a negative number or a positive number?
Answer:
Positive number
Step-by-step explanation:
Given that:
Lucinda is saving money for a hot-air balloon trip to celebrate her graduation and she needs $300 dollars.
Let x be the amount of her savings and she needs $300
SO;
x + 300 = 0
As an integer, it is represented by a positive number because she needs this amount of money in addition to what she already saved.
La Distribuidora Industrial Dulzura va a seleccionar entre dos compañías para transportar su azúcar al mercado. La primera compañía cobra 49,430.00 por alquilar los camiones más 2,480.50 adicionales por cada tonelada de azúcar. La segunda compañía cobra 60,500.00 por alquilar los camiones más 1,927.20 adicionales por cada tonelada de azúcar.
Answer: La cuenta de Milla ganaría $63 más que la cuenta de Gion después de 1 año.