Answer: A is 88
Step-by-step explanation:
Sum of all angles is 180 degree.
Let the third interior angle be x.
38+50+x=180
88+x=180
x= 92
A and X are in linear pair.
A+X=180
A+92=180
A=88
4
−5
x+
5
2
=
30
−13
Answer:
2 ...........
How do I solve this arithmetic sequence?
Answer:
The 16ᵗʰ term of this sequence is 82
Step-by-step explanation:
Here,
First Term = a₁ = 9
Common Difference = (d) = 2
Now, For 16ᵗʰ term, n = 16
aₙ = a + (n - 1)d
a₁₆ = 7 + (16 - 1) × 2
a₁₆ = 7 + 15 × 5
a₁₆ = 7 + 75
a₁₆ = 82
Thus, The 16ᵗʰ term of this sequence is 82
-TheUnknownScientist
The scale of scores for an IQ test are approximately normal with mean 100 and standard deviation 15. The organization MENSA, which calls itself the “high IQ society”, requires a score of 130 or higher. What percent of adults are between IQ of 100 and 130 ?
A)68%
B)47.5%
C)95%
D)81.5%
Answer:
B) 47.5%
Step-by-step explanation:
Refer to the normal distribution chart attached. If 130 is 2 standard deviations higher than the mean (ignore the numbers beneath the percentages), then by the empirical rule, this means that 34%+13.5%=47.5% of adults are between IQs of 100 and 130. Therefore, option B is correct.
Which term can be used in the blank of 36x3−22x2−__ so the greatest common factor of the resulting polynomial is 2x? Select two options.
2
4xy
12x
24
44y
Given:
The expression is:
[tex]36x^3-22x^2-\_\_\_[/tex]
To find:
The values for the blank so that the greatest common factor of the resulting polynomial is [tex]2x[/tex].
Solution:
We have,
[tex]36x^3-22x^2-\_\_\_[/tex]
If the greatest common factor of the resulting polynomial is [tex]2x[/tex], then 2 and x must be factors of missing value.
In option A, 2 is a factor of 2 but [tex]x[/tex] is not a factor of 2. So, this option is incorrect.
In option B, 2 and [tex]x[/tex] are factors of [tex]4xy[/tex]. So, this option is correct.
In option C, 2 and [tex]x[/tex] are factors of [tex]12x[/tex]. So, this option is correct.
In option D, 2 is a factor of 24 but [tex]x[/tex] is not a factor of 24. So, this option is incorrect.
In option E, 2 is a factor of [tex]44y[/tex] but [tex]x[/tex] is not a factor of [tex]44y[/tex]. So, this option is incorrect.
It means the correct value for the given blank is either [tex]4xy[/tex] or [tex]12x[/tex].
Therefore, the correct options are B and C.
Tom earns $30 a week mowing lawns. he spends 1/6 of his earnings on lunch and 1/3 of his earnings on music . he saves the rest . How many dollars does Tom save?
he would have around 7 $ left hope this help
A numbered die has sides labeled 1 to 8. What is the probability of landing on a number greater than 3?
Answer:
5/8
Step-by-step explanation:
Mark is six years older than his brother Sam. The sum of their ages is 30. Let 'a' be Sam's age.
Answer:
a = 12 years
Step-by-step explanation:
Mark is 6 years older than his brother Sam. Now, we are asked to represent Sam’s age by a. This means that if Sam is a years old, Mark is (a + 6) years old.
The sum of their ages is 30, this means that when we add their ages together, we get the sum of thirty.
Mathematically this means a + a + 6 = 30
2a + 6 = 30
This is the equation needed to get a. To get a , we proceed to solve the equation to completion.
2a = 30 - 6
2a = 24
a = 24/2
a = 12
I WILL REPORT UNHELPFUL ANSWERS/CITES
The graph of a quadratic function has a vertex (3,-1). What is the domain and the range?
Answer:
Domain would be all real numbers
Step-by-step elelamation
Range would be either: y ≥ -3 or y ≤ -3 depending whether the vertex is a minimum or a maximum
HELP MEHHHHHHHHH. thanks.
Answer:A
The mean is the average of all numbers, in this example it's to national averages which will have many numbers.
express 12.383838 in p/q form
Answer:
12383838 is the answer
1000000
The formula F=1.8C+32 can be used to convert temperature units. F is degrees Fahrenheit, and C is degrees Celsius.
Answer:
-40 °F = -40 °C
Step-by-step explanation:
The formula F = 1.8C + 32 gives the temperature in degrees Fahrenheit (F) for a given temperature in degrees Celsius (C). There is one temperature for which the number of degrees Fahrenheit is equal to the number of degrees Celsius. Complete the equation you can solve to find that temperature and then use it to find the temperature. Use the variable C to represent the number of degrees Celsius where degrees Fahrenheit and degrees Celsius are the same. The equation is . The temperature for which the number of degrees Fahrenheit is equal to the number of degrees Celsius is °C.
F = 1.8 C + 32 (1)
There is one temperature for which the number of degrees Fahrenheit is equal to the number of degrees Celsius
Then,
F = C (2)
Substitute (2) into (1)
F = 1.8 C + 32 (1)
C = 1.8C + 32
Subtract 1.8C from each side
C – 1.8 C = 32
-0.8C = 32
Divide both sides by -0.8
C = 32 / -0.8
C = -40
Substitute C = -40 into (1)
F = 1.8C + 32 (1)
F = 1.8(-40) + 32
F = -72 + 32
F = -40
Therefore,
The temperature for which the number of degrees Fahrenheit is equal to the number of degrees Celsius is -40
That is,
-40 °F = -40 °C
Could anyone pls give the ans of 8th pls?
Answer:
-5/9
Step-by-step explanation:
[tex]\frac{5}{9}[/tex] + ____ = 0
subtract [tex]\frac{5}{9}[/tex] from both sides of the equation
-[tex]\frac{5}{9}[/tex] -[tex]\frac{5}{9}[/tex]
leaving you with
____ = - [tex]\frac{5}{9}[/tex]
From the equation, find the axis of symmetry of the parabola.
f (x) = x squared minus 14 x + 49
a.
x = 7
c.
x = 6
b.
x = negative 7
d.
x = negative 6
Answer:
B. x=negative 7
Step-by-step explanation:
sana nakatulong :-)
A wire is first bent into the shape of a rectangle with width 7in and length 9in then the wire is bent and reshaped into a square what is the length of a side of a square.
Answer:
Length of side of square = 8 inch
Step-by-step explanation:
Given:
Length of rectangular wire = 9 inch
Width of rectangular wire = 7 inch
Find:
Length of side of square
Computation:
We know that same wire is used from square
So,
Perimeter of rectangle = Perimeter of square
2[l + b] = 4 x side
2[9 + 7] = 4 x Length of side of square
2[16] = 4 x Length of side of square
32 = 4 x Length of side of square
Length of side of square = 32 / 4
Length of side of square = 8 inch
The prom committee is buying Brownies and Cookies. Brownies cost $2 each and Cookies cost $1.50. They need 45 treats and have $82.50 to spend. How many of each should they buy? You need Variables, Equation, and have to explain the solution
Answer:
Number of brownies = 30
Number of cookies = 15
Step-by-step explanation:
Given:
Cost of each brownie = $2
Cost of each cookie = $1.5
Total number of treats = 45
Total amount = $82.50
Find:
Number of cookies and brownie
Computation:
Assume;
Number of brownies = b
Number of cookies = c
So,
b + c = 45........eq1
2b + 1.5c = 82.50...........eq2
Eq1 x 2
2b + 2c = 90 ..................eq3
Eq 3 - Eq 1
0.5c = 7.5
c = 7.5 / 0.5
Number of cookies = 15
Number of brownies = 45 - Number of cookies
Number of brownies = 45 - 15
Number of brownies = 30
Express (6x-8)(7x+1)-1/2x^2 as a trinomial in standard form.
Answer:
83/2x^2-50x-8
Step-by-step explanation:
multiplique los parentensis
42x^2+6x-56x-8-1/2x^2
calcula la diferencia
83/2x^2+6x-56x-8
agrupe los terminos semejantes
83/2x^2-50x-8
The radioactive substance polonium-210, with a half-life of 138.39 days, is present in tobacco. Suppose that the soot in an ex-smoker's lungs contains 100 milligrams of polonium-210. How much radioactive polonium will remain after one year of not smoking
Answer:
16.07 milligrams
Step-by-step explanation:
From the question,
Using the formula of radioactive decay,
R/R' = 2ᵃ/ᵇ..................... Equation 1
Where R = Original mass of the polonium-210, R' = Final mass of polonium-210 after decaying, a = Total disintegration time, b = half life of polonium-210.
Make R' the subject of the equation
R' = R/(2ᵃ/ᵇ)................ Equation 2
Given: R = 100 milligrams, a = 1 years = 365 days, b = 138.39 days
Substitute these values into equation 2
R' = 100/(2³⁶⁵⁰⁰/¹³⁸³⁹)
R' = 100/(6.222)
R' = 16.07 milligrams of plonium-210
A number has the same digit in its hundreds place and its hundredths place. How many times greater is the value of the digit in the hundreds place than the value of the digit in the hundredths place?
Answer:
372
Step-by-step explanation:
that's my answer hope it's help
Answer:
1000
Step-by-step explanation:
HELPP
giving brainliest
Answer:
4 feet 10 in
Step-by-step explanation:
58/12= 4 10/12= 4 feet 10 in
Answer:
4ft 10in
Step-by-step explanation:
58/12 = 4 10/12
Triangle BCD is similar to triangle FHE. Write at least three equivalent
ratios based on the diagram.
Answer:
CB : HF
CA : HG
CD : HE
DA : EG
DB : EF
AB : GF
If the Triangle BCD is similar to triangle FHE. The three equivalent ratios based on the diagram will be CB: HF, CA: HG, and CD: HE.
What is the triangle?In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
The similarity law for triangles is defined as the law to prove that two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
The equivalent ratios are based on the diagram will be,
CB: HF
CA: HG
CD: HE
DA: EG
DB: EF
AB: GF
Thus, if the Triangle BCD is similar to triangle FHE. The three equivalent ratios based on the diagram will be CB: HF, CA: HG, and CD: HE.
Learn more about the triangle here:
brainly.com/question/25813512
#SPJ2
How many times as great as 6 x 10^4 is 3 x 10^7? Enter the answer in the box.
Answer:
5 * 10^2 times greater
Step-by-step explanation:
Here , we want to know how many times bigger is a certain number relative to another
What we have to do here is to make a division
We will have to divide (3 * 10^7) by (6 * 10^4)
That is;
(3 * 10^7) / (6 * 10^4) = 0.5 * 10^7/10^4
= 0.5 * 10^3 = 5 * 10^2
Please help me solve these questions!!!
Pleaseeeeeee I need helpppp
Answer:
I think it's 34
Step-by-step explanation:
cuz you add 11 and 12 frequency
Hey can you help me fast!!! I will give brain list if the answer is right!
Answer:
-3 1/8
Step-by-step explanation:
This can be done by setting up the following equation. (I'm going to convert 1/4 to .25 to make things easier)
-1.25/1 = x/2.5
x = -3.125 or -3 1/8
what is the measure of angle PQS in the figure below?
A. 36
B. 60
C. 72
D. 108
Answer:
C
Step-by-step explanation:
PQS is an Acute angle so it's obviously C because it's the closest angle.
hi- someone help -v- sorry for so many questions
Answer:
all are true because all are less than or equal to 10
Step-by-step explanation:
Answer:
5,3,2,10
Step-by-step explanation:
HOMES The McClarens sold their house in Orlando, Florida, for $300,000. They split the income evenly among their four children. How much did each child get? .
Subsets of sample spaces
Go to le
The sample space below shows the results of the final eight matches played by the English soccer team
Manchester United during their championship 2012 - 2013 season. They won matches where they scored
more goals than their opponent, lost matches where they scored less, and tied matches where they scored the
same amount.
If we take matches 1, 2, 4, 6, and 7 as a subset of the sample space, which of the statements below describe
this subset?
Choose all answers that apply:
CA
The subset consists of all the matches where Manchester United's opponent did not win.
B)
The subset consists of all the matches where Manchester United won or lost.
©
The subset consists of all the matches where Manchester United did not win.
Answer:
B) The subset consists of all the matches where Manchester United won or lost.
Step-by-step explanation:
1 - Manchester united lost
2 - Manchester United won
4 - Manchester United won
6 - Manchester United lost
7 - Manchester United won
Hence, 1, 2, 4, 6, 7 consists of matches where Manchester United either won or lost.
Therefore, 1,2,4,6,7 is a subset of the sample space where Manchester United won or Lost
Answer:
The letter may be in different orders.
2 answers: "The subset consists of all the matches where there were no ties" and "The subset consists of all the matches where Manchester United won or lost"
Step-by-step explanation:
process of elimination. All the nonhighlighted matches are were there were ties. The highlighted ones have no ties and both teams lost or won.
What are the answers? I’m very confused! Emergency!!
The roots are x = 4 and 2
I'm really sorry if this is wrong but basically 3x4 = 12 and 12x which they both could be mutiplied by 2 to get 24
helpppppppppppppppppppp
Answer:
10
Step-by-step explanation:
The pattern is multiplication by 2,
5x2 is 10
10x2 is 20,
and so on
Answer:
your answer is 10
Step-by-step explanation:
5 ,10 ,20 ,40 ,80