These two figures have the same perimeter. Solve for x and find the perimeter.
(Please say the actual number and not a link please!)
Answers
Answer:
x=4, perimeter is 30.
Step-by-step explanation:
Let's calcualte the perimeter of the two figures. I'm assuming the pentagon is regular else the problem lacks information.
[tex]5(x+2) = 3x+(2x-1)+(x+7)\\5x+10=6x+6\\4=x[/tex]
At this point the easiest to compute is the pentagon, one side is 6, the whole perimeter is 30.
Related Questions
Tina buys 5 pounds of potatoes for $4. 35 and 3 pounds of carrots for $3. 57 how much does 1 pound of potatoes cost
Answers
Answer:
1 pound of potatoes costs $0.87
The area of a rectangle is given by the expression, A = 4x2 + 9x + 2 where the width is x +2. Find an expression for the length of the rectangle. Show all steps.
Answers
Answer:
4x+1
Step-by-step explanation:
1) to find the required expression for the length:
length=area/width;
2) according to the formula above:
[tex]L=\frac{4x^2+9x+2}{x+2}=\frac{(x+2)(4x+1)}{x+2}=4x+1.[/tex]
melanie and patrick have different phone services. the relationship of the monthly cost, y dollars, to send or receive x text messages, is a linear function. the cost of patricks texting is described by y = 0.03x + 5. the cost of melanies texting is shown in the table
Answers
Answer:
Melanie: y = 0.25x
Patrick: y = 0.03x + 5
Patrick's service is cheaper when 50 texts are sent or received in one month.
Step-by-step explanation:
Let's find out Melanie's monthly texting cost function using the table. We are given multiple points that the line describing her monthly text costs passes through, so we can use the slope formula to calculate the slope of this line first.
m = (y2 - y1) / (x2 - x1)Substitute (5, 1.25) and (10, 2.50) into this formula.
m = (2.5 - 1.25) / (10 - 5)m = 1.25 / 5 m = 0.25Now we can use the point-slope equation to determine the line that describes Melanie's monthly texting cost.
I'm going to use the point (5, 1.25) and the slope m = 0.25.
y - y1 = m(x - x1)y - 1.25 = 0.25(x - 5)y - 1.25 = 0.25x - 1.25 y = 0.25xWe have Melanie's function:
y = 0.25xWe have Patrick's function:
y = 0.03x + 5
We want to determine which service is cheaper when 50 texts are sent/received in one month.
The number of texts sent and received is represented with the variable "x", and the cost of this service is represented with the variable "y".
All we need to do is substitute 50 for x in both equations to see if Melanie or Patrick's service is cheaper.
Starting with Melanie:
y = 0.25x y = 0.25(50)y = 12.50Now with Patrick:
y = 0.03x + 5 y = 0.03(50) + 5y = 1.5 + 5 y = 6.5Patrick's service is substantially cheaper than Melanie's service when 50 texts are sent or received in one month.
is x – 4 a factor of P(x) = x^4 - 4x^2 – 4x + 8 ? Explain.
Answers
Answer:
(x3 - 2x2 - 4) • (x + 2)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
(((x4) - 22x2) - 4x) - 8
STEP
2
:
Checking for a perfect cube
2.1 x4-4x2-4x-8 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: x4-4x2-4x-8
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: x4-8
Group 2: -4x2-4x
Pull out from each group separately :
Group 1: (x4-8) • (1)
Group 2: (x+1) • (-4x)
Polynomial Roots Calculator :
2.3 Find roots (zeroes) of : F(x) = x4-4x2-4x-8
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 1 and the Trailing Constant is -8.
The factor(s) are:
of the Leading Coefficient : 1
of the Trailing Constant : 1 ,2 ,4 ,8
What is the average rate of change for the table and graph below over the interval [0,3]?
Answers
Answer:
-2
Step-by-step explanation:
The average rate of change is the slope using the points (0, 10) and (3, 4). The slope is found using the formula [tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{4-10}{3-0}= \frac{-6}{3}=-2[/tex]
Select the equivalent expression.
-3
24)
(9) 9
=?
62
Answers
Answer:
Step-by-step explanation:
???? Could you verify the question please?
A system of equations is shown
Y=2x-5
Y=4x + 3
What is the solution to the system of equations?
A (-4,-13)
B(-4,3)
C (4,-13)
D (4,3)
Answers
Answer:
A. (-4,-13)
Step-by-step explanation:
y = 2x - 5
y = 4x + 3
-2(y = 2x - 5) ==> -2y = -4x + 10
y = 4x + 3 ==> y = 4x + 3
-2y = -4x + 10
y = 4x + 3
___________
-y = 13
/-1 /-1
y = -13
Now we find x, by substituting -13 for y
y = 2x - 5
-13 = 2x - 5
+ 5 +5
-8 = 2x
/2 /2
-4 = x
(x, y) ==> (-4, -13)
Check your answer:
y = 2x - 5
-13 = 2(-4) - 5
-13 = -8 -5
-13 = -13
This statement is correct
Hope this helps!
what two numbers add up two 40 but multiply to get 100
Answers
The two numbers are illustrations of system of equations
The two numbers are 2.7 and 37.3
How to determine the two numbers?Let the numbers be x and y.
So, we have the following equations
x + y = 40
xy = 100
To determine the value of the variables, we simply plot the graph of both equations
From the graph, we have the following result
(x,y) = (2.7, 37.3)
Hence, the two numbers are 2.7 and 37.3
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Each patron can borrow up to 6 books. If all the patrons are currently holding on to 6 books each, how many books are left in the library?
Answers
Answer:
Your answer would be:
3,384 books are left in the library
If each patron has 6 books, and there are 564 patrons:
564 x 6 = 3,384 books left
In conclusion, there are 3,384 books left in the library.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Parisian sewer #1 contains 9 fewer gigantic rats—rats as big as cats, some might say—than parisian sewer #2. parisian sewer #2 contains 5 fewer gigantic rats than parisian sewer #3. if there are 56 gigantic rats in all three sewers combined, how many rats are in sewer #1?
Answers
There are different kinds of math problem. There will be 11 rats in sewer #1.
What are word problem?The term word problems is known to be problems that are associated with a story, math, etc. They are known to often vary in terms of technicality.
Lets take
sewer #1 = a
sewer #2 = b
sewer #3 = c
Note that A=B-9
So then you would have:
A=B-9
B=C- 5
A+B+C=56
Then you have to do a substitution so as to find C:
(B- 9) + (C-5) + C = 56
{ (C- 5)-9} + (C-5) + C = 56
3C - 19 = 56
3C = 75
B = C- 5
B = 25 - 5
Therefore, B = 20
A = B - 9
= 25 - 9
=11
Therefore, there are are 11 rats in sewer #1
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Why is x^2+9 not able to be factored?
Answers
The expression x^2 + 9 is an algebraic expression
x^2 + 9 cannot be factored because it is not a difference of two squares
How to determine why the expression cannot be factored?The expression is given as:
x^2 + 9
Express 9 as the square of 3
x^2 + 3^2
The above expression is not a difference of two squares
Hence, x^2 + 9 cannot be factored because it is not a difference of two squares
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Two sides of a parallelogram are 110 feet and 850 feet. The measure of the angle between these sides is 157 Find the area of the parallelogram to the nearest square foot.
Answers
Answer: 36533
Step-by-step explanation:
The measure of central tendency most influenced by outliers is the ______. A. Mode b. Median c. Mean d. Variance
Answers
Find area of parallelogram
Answers
Answer:
84
Step-by-step explanation:
Area of paralellogram: base x height
Now we multiply!!
6 x 14 = 84 :)
Have an amazing day!!
Please rate and mark brainliest!!
if a pyramid 20yd,18yd,18yd what is the surface area
Answers
15YD
Step-by-step explanation:
Hi can u please help me with this and also an explanation thank u
Answers
Question 1: Area of the base
The base is a triangle⇒ Area of a Triangle --> [tex]\frac{1}{2}*(base)*(height)[/tex]
⇒ Area = [tex]\frac{1}{2} * 6 * 8 = 3 * 8 =[/tex] 24 square kilometers
Question 2: Height of Pyramid
Height of pyramid ⇒ distance from the tip of the figure to its base⇒ Height = 12 km
Question 3: Volume of a pyramidFormula for Volume of a pyramid ⇒ 1/3 * (base area) * (height)
⇒ [tex]\frac{1}{3} *24 * 12 = 8 * 12[/tex] = 96 cubic kilometers
Hope that helps!
y = -3x + 13
y = -x + 1
solve by substitution
Answers
Answer:
x = 6
y = -5
Explanation:
y = -3x + 13 y = -x + 1substitute each of the following,
-3x + 13 = -x + 1
-3x + x = 1 - 13
-2x = -12
x = 6
Find y,
y = -x + 1
y = -6 + 1
y = -5
Step-by-step explanation:
please mark me as brainlest
HURRY NEED THIS ASAP. A company that manufactures golf balls produces a new type of ball that is supposed to travel significantly farther than the company’s previous golf ball. To determine this, 40 new-style golf balls and 40 original-style golf balls are randomly selected from the company’s production line on a specific day. A golf pro then randomly selects a ball, not knowing the type of ball, and hits it. The distance the ball travels is then measured. He continues this procedure until all 80 of the golf balls are hit. At the end of the session, the mean distance traveled for the new type of golf ball was found to the significantly greater than the mean distance for the original-style golf ball.
Which of the following is a valid conclusion?
Inferences can be made about all the golf balls produced on that day, and the conclusion can be made that the new type of golf balls travel farther than the original type of golf ball for this golf pro.
Inferences can be made about all the golf balls produced on that day; however, a conclusion cannot be made that the new type of golf balls travel farther than the original type of golf ball for this golf pro.
Inferences cannot be made about all the golf balls produced on that day; and a conclusion cannot be made that the new type of golf balls travel farther than the original type of golf ball for this golf pro.
Inferences cannot be made about all the golf balls produced on that day; however, the conclusion can be made that the new type of golf balls travel farther than the original type of golf ball for this golf pro.
Answers
The conclusion based on the mean of the ball and the distance traveled is D. Inferences cannot be made about all the golf balls produced on that day.
How to deduce the inference?From the information given, a golf pro randomly selects a ball, not knowing the type of ball, hits it and end of the session, the mean distance traveled for the new type of golf ball was found to be greater than the mean distance for the original-style golf ball.
In this case, inferences cannot be made about all the golf balls produced on that day; however, the conclusion can be made that the new type of golf balls travel farther than the original type of golf ball for this golf pro.
Learn more about mean on:
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Answer:
should be A. Inferences can be made about all the golf balls produced on that day, and the conclusion can be made that the new type of golf balls travel farther than the original type of golf ball for this golf pro.
Step-by-step explanation:
correct for edge, nov. 2022
A pool supply company sells 50-pound buckets of chlorine tablets. A customer believes that the company may be underfilling the buckets. To investigate, an inspector is hired. The inspector randomly selects 30 of these buckets of chlorine tablets and weighs the contents of each bucket. The sample mean is 49.4 pounds with a standard deviation of 1.2 pounds. The inspector would like to know if this provides convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds, so he plans to test the hypotheses H0: μ = 50 versus Ha: μ < 50, where μ = the true mean weight of all 50-pound buckets of chlorine tablets. The conditions for inference are met. The test statistic is t = –2.74 and the P-value is between 0.005 and 0.01. What conclusion should be made at the significance level, Alpha?
Reject H0. There is convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds.
Reject H0. There is not convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds.
Fail to reject H0. There is convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds.
Fail to reject H0. There is not convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds.
Answers
The answer is: Reject H0. There is convincing evidence that the true mean weight of the chlorine tablets in the 50-pound buckets is less than 50 pounds.
You have to flip a fair coin until you get three heads in a row or three tails in a row, what are the odds it takes more thn 10 flips to do so?
(It is not 12.5% please don't answer that)
Answers
Answer:
25 percent
Step-by-step explanation:
Classify the following triangle. The
O A. Scalene
O B. Equilateral
C. Isosceles
D. Acute
O E Right
O F. Obtuse
Answers
Scalene triangle: if none of the three sides of a triangle are equal to each other, it is called a scalene triangle.
Equilateral triangle: An equilateral triangle is a triangle in which all three sides have the same length.
Isosceles triangle: An isosceles triangle is a triangle that has two sides of equal length.
Acute Triangle: An acute triangle is a triangle with three acute angles.
Right Triangle: A triangle in which one of the interior angles is 90° is called a right triangle.
Obtuse Triangle: An obtuse triangle is a triangle with one obtuse angle and two acute angles.
what number does 5a+ab represent when a =10 and b=-1
Answers
Answer:
5a + ab = 40
Step-by-step explanation:
Sub in 10 for a, making the equation 5 x 10 + 10 x b
Then sub in - 1 for b making it 5 x 10 + 10 x - 1
Then multiply making it 50 + - 10
Then subtract since adding negative is actually subtracting and you get 40
Hey there!
In order to evaluate this expression, all we should do is plug in the values of the variables and simplify.
We are given that
a=10
b=-1
Plug in the values:
5(10)+(10)(-1)
multiply 5 times 10 and 10 times (-1) and add the products:
50+(-10)
or... actually subtract.
50-10
40
Hence, the answer is
[tex]\boxed{\boxed{\bold{40}}}[/tex]
Hope everything is clear.
Let me know if you have any questions!
#LearningDoesn'tEnd
:-)
A
the angle of elevation from point a to the top of a hill is 499.
if point a is 400 feet from the base of the hill, how high is
the hill?
a4
49
Answers
Answer:
899 ft
Step-by-step explanation:
if point a is 400 feet from the base and 499 feet away from the top you would need to add 400+499 together to get 899
What are the solution(s) for the quadratic equation?
f(x)=x^2+12x+36
Please show work!
Answers
Let's see
[tex]\\ \rm\rightarrowtail x^2+12x+36=0[/tex]
[tex]\\ \rm\rightarrowtail x^2+6x+6x+36=0[/tex]
[tex]\\ \rm\rightarrowtail x(x+6)+6(x+6)=0[/tex]
[tex]\\ \rm\rightarrowtail (x+6)(x+6)=0[/tex]
[tex]\\ \rm\rightarrowtail x=-6[/tex]
Trina purchases 10 tickets from a charity raffle. Each ticket in the raffle has 6 different numbers between the numbers 1 and 20. If there is only one prize, what is the probability of Trina winning the prize? Express your solution as a fraction in reduced form.
Answers
The probability of winning when there is only one prize, is:
P = 1/2,790,720
How to find the probability?
Each ticket has 6 different numbers, in order, from 1 to 20.
The first number has 20 options.The second number has 19 options (because the numbers can't repeat).The third number has 18 options, and so on.The total number of possible combinations is given by the product between the numbers of options, so there are:
C = 20*19*18*17*16*15 = 27,907,200 possible tickets.
So, if Trina purchases 10 tickets, she has a probability of 10 out of 27,907,200 winning (when we assume that there is only one prize)
Then the probability is:
P = 10/27,907,200 = 1/2,790,720
If you want to learn more about probability, you can read:
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What is the area of the object
Answers
Answer:
C. 189 square centimeters
Step-by-step explanation:
Area of a Square/Rectangle is base x height
= 7 X 7 = 49
Area of a triangle = 1/2 Base X Height
= 1/2 X 7 X 10
= 35
There are 4 triangles
35 X 4 = 140
140 + 49 = 189
= 189cm^2
Answer: C. 189 cm²
Step-by-step explanation:
A rectangle/square is solved for with A = L * W.
The middle square has a (surface) area of:
7 * 7 = 49 cm²
We then have four triangles. These are solved for with [tex]\frac{B*H}{2}[/tex]. Since all four are congruent, I will multiply one of them by 4.
The triangles have a total (surface) area of:
10 * 7 = 70
70 / 2 = 35
35 * 4 = 140 cm²
Lastly, we will add the two totals together.
140 cm² + 49 cm² = 189 cm²
The object has a surface area of C. 189 cm².
Sam had some money in his pocket, and he found another $6.50 in his dresser drawer. he then had a total of $19.75. let p represent the amount of money sam had in his pocket. which equation can you use to find the amount of money sam had in his pocket? how much money did sam have in his pocket?
Answers
Answer:
13.25$
Step-by-step explanation:
p+6.50=19.75
substract 6.50 on both side : p=13.25$
The total amount of money sam had in his pocket is $13.25.
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form Ax + B = 0.
Sam had some money in his pocket, and he found another $6.50 in his dresser drawer. The total amount sam had was $19.75.
Here, let p represent the amount of money sam had in his pocket.
The equation formed
p + $6.50 = $19.75
p = $19.75 - $6.50
p = $13.25
Therefore, the total amount of money sam had in his pocket is $13.25.
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Alannah, Colin and Hannah visit the park and collect conkers and acorns.
In total they collect the same number of conkers and acorns.
Alannah, Colin and Hannah collect conkers in the ratio 4:7:9
Alannah, Colin and Hannah collect acorns in the ratio 3:1:5
(a) Did Hannah collect more conkers or acorns?
Answers
Hannah collected more acorns than conkers.
What is Ratio?Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.
The ratio of a and b is denoted as a : b.
Given that,
Ratio of collection of conkers by Alannah, Colin and Hannah = 4 : 7 : 9
Total conkers = 4 + 7 + 9 = 20
Ratio of conkers collected by Hannah to total conkers = 9/20
Ratio of collection of acorns by Alannah, Colin and Hannah = 3 : 1 : 5
Total acorns = 3 + 1 + 5 = 9
Ratio of acorns collected by Hannah to total acorns = 5/9
LCM (9, 20) = 180
9/20 = (9 × 9) / (20 × 9) = 81/180
5/9 = (5 × 20) / (9 × 20) = 100/180
Hence Hannah collected more acorns than conkers.
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Solve for value and variable. Be sure to write a proportion
Please give full explanation that would be helpful.
Answers
Answer:
Step-by-step explanation:
Basic propotionality theorem: If a line is drawn paralle to one side of a triangle and intersect other two sides in distinct points, then the line segment divide the two linesin same ratio.
[tex]\sf \dfrac{LP}{PN}=\dfrac{LO}{OM}\\\\\dfrac{x+12}{5}=\dfrac{22}{8}\\\\\text{cross multiply,}\\\\[/tex]
8*(x + 12) = 22*5
8x + 8*12 = 110
8x + 96 = 110
8x = 110 - 96
8x = 14
x = 14/8
x = 1.75
If the circumference of a circle is 220 cm, find its diameter and area
please correct answer
Answers
Step-by-step explanation:
C = 2 Pi R = 220
R = 220 / 2 pi = 35 cm
diameter = 35 x 2 = 70 cm
Area = pi r² = pi 35² = 3848.45 cm