One possible equation is (6b+2)+40 = 90
That equation solves to b = 8
======================================================
Explanation:
The angles (6b+2) and 40 degrees combine to form a right angle, aka 90 degree angle. This is because the upper angle is 90 degrees, so the remaining portion is 180-90 = 90.
So (6b+2)+40 = 90 is one possible equation.
Let's solve for b.
(6b+2)+40 = 90
6b+42 = 90
6b = 90-42
6b = 48
b = 48/6
b = 8
---------------
A slight alternative.
The angles (6b+2), 40, and the 90 degree angle form a straight line.
The three angles add to 180
(6b+2)+(40)+(90) = 180 is another possible equation
6b+132 = 180
6b = 180-132
6b = 48
b = 48/6
b = 8
Find X and Y - 20 POINTS
Check the picture below.
Translate the following written expression into an algebraic expression:
"The difference of y and 5, divided by 2"
Answer:
(y-5) ÷ 2
Step-by-step explanation:
3 x (5 + 1) = (3 x 5) + (3x1)
What is the real property
The real property of 3 x (5 + 1) = (3 x 5) + (3x1) is the distributive property
How to determine the propertyFrom the question, we have the following parameters that can be used in our computation:
3 x (5 + 1) = (3 x 5) + (3x1)
The distributive property of algebra states that
x * (a + b) = x * a + x * b
This means that
x = 3
a = 5 and b = 1
By comparison, we can conclude that the property is the distributive property
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A box contains 8 cups of raisins Marco needs 1/3 cup of raisins to make 1 bag of snacks mix how many bags of snack mix can Marco make with 8 cups of raisins
Answer: 24
Step-by-step explanation:
24/3=8
Which of the following is equivalent to
36
?
O _18
-6
1
18
1
6
Answer: 1/6
Step-by-step explanation: It was the first question on my quiz, hope it helped:)
The equivalent value of the expression [tex]36^{-(\frac{1}{2})[/tex] is, 1/6.
What are some rules of exponents?Some common rules of exponents are
xᵃ×xᵇ = xᵃ⁺ᵇ.
xᵃ/xᵇ = xᵃ⁻ᵇ.
Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.
Given, An expression [tex]36^{-(\frac{1}{2})[/tex].
We know, 6×6 = 36 = 6².
Therefore, [tex]36^{-(\frac{1}{2})} = (6^2)^{-(\frac{1}{2})[/tex].
[tex](6^2)^{-(\frac{1}{2})} = (6)^{2\times{-(\frac{1}{2})[/tex].
= 6⁻¹.
= 1/6.
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i need to solve this so can you pls hlp
Answer: D
Step-by-step explanation: x is a variable, and so is the number of tractors he sells. he is going to get paid $1000 for sure each month.
So 150x(the number of tractors) + 1000(his pay each month)
D varies as R and S, and inversely as t. D=12, R=3, S=20, and t=5, find D when R=15, S=4 and t=8.
Answer:
d = 7.5
Step-by-step explanation:
Given that,
D varies as R and S, and inversely as t. It can be written as :
[tex]D=\dfrac{kRS}{t}[/tex]
Where
k is constant of proportionality
Put D=12, R=3, S=20, and t=5 to find k. So,
[tex]k=\dfrac{Dt}{RS}\\\\k=\dfrac{12\times 5}{3\times 20}\\\\k=1[/tex]
Now put R=15, S=4, k=1 and t=8 to find D. So,
[tex]D=\dfrac{1\times 15\times 4}{8}\\\\D=7.5[/tex]
Hence, the value of d is equal to 7.5.
People visiting video rental stores often rent more than one DVD at a time. The probability distribution for DVD rentals per customer at Video To Go is given in the following table. There is a five-video limit per customer at this store, so nobody ever rents more than five DVDs.
x P(x)
0 0.05
1 0.49
2 0.25
3
4 0.08
5 0.03
Describe the random variable X in words.
a. X is the number of DVDs a customer rents.
b. X is the number of times a single customer comes into the store.
c. X is the number of DVDs a customer owns.
d. X is the total number of DVDs rented at the store.
e. X is the number of customers that come into the store
Answer:
a. X is the number of DVDs a customer rents.
Step-by-step explanation:
The distribution states that:
0.05 = 5% probability a customer rents no DVDs
0.49 = 49% probability a customer rents 1 DVD
...
0.03 = 3% probability a customer rents 5 DVDs.
Thus, the random variable X is the number of DVDs a customer rents, and the correct answer is given by option A.
I NEED HELP. PLS ANSWER IF YOU KNOW HOW TO SOLVE COMPOSITE FIGURES!
3a+14b
I'm not good at math, it's my weakest subject
On solving the question, we can say that y using the given information we can prove that similar angle m ∠ABC = m ∠EDC.
What are similar angles?Polygons' corresponding sides and corresponding angles are compared as part of the geometric tests for congruence and similarity. With care taken to maintain the order of adjacency, each side and each angle in one polygon is paired with a side or angle in the other polygon in these tests.
Given:
m ∠1 = m ∠2
m ∠2 = m ∠4
We have to prove that m ∠ABC = m ∠EDC
∠EDC = ∠3 + ∠4
m ∠ABC = m ∠1 + m ∠2
m ∠EDC = m ∠3 + m ∠4
m ∠1 + m ∠2 = m ∠3 + m ∠4
m ∠ABC = m ∠EDC
Hence, by using the given information we can prove that
m ∠ABC = m ∠EDC.
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For each order, the web site applies a 7.7% sales tax to the price of the cards, plus a one time mailing fee of 5.95. Based on the information in the table, what will be the total cost for an order for 280 cards?
Answer: $1794.28
Step-by-step explanation:
280*5.95= 1666
0.077*1666= 128.282
1666+128.282= 1794.282
We round cause its money
Jonathan’s Math test scores were 87,93, 85, 62, and 95. What was his mean score?
Answer:
the mean is 84.4
Step-by-step explanation:
have a good day
Answer: 84.4
Step-by-step explanation:
10. Find the range, mean, median, and mode of the following data set. 15, 22, 14, 3, 11, 9, 3 a. Range 19 Mean 11 Median 3 Mode 3 c. Range 21 Mean 11 Median 11 Mode 14 b. Range 19 Mean 11 Median 11 Mode 3 I d. Range 19 Mean 111 Median 10.5 Mode 3
Answer:
Range: 19
Mean: 11
Median: 11
Mode: 3
pleaseee help with these questions
Answer:
3. 56.8 inches
4. 314.2 yards
5. 1809.6 meters
6. 265 centimeters
2(3х + 9) what the answer plz help
Answer:
6x + 18
Step-by-step explanation:
2(3х + 9)
6x + 18
2 * 3x = 6x
2 * 9 = 18
A prescription indicates that 1.25 grams of a given drug should be taken
Twice a day. If the drug is available in 500 milligram tablets, how many tablets does it Will the patient take every 12 hours?
The height of a rock climbing wall is 137 feet. How many feet has Sara climbed when she is
48 from the top of the wall?
Answer:
137 - 48 = 89, so she climbed 89
Step-by-step explanation:
Help please. Much appreciated
Answer:
1=90, 2=53,3=37, 4=53 As sum of angles in triangle 180°
Solve for x. 6x−24=x−2
OPTIONS:
Enter answer in the box!
X = [?]
Answer:
point A
Step-by-step explanation:
What is m∠4 + m∠5 + m∠6?
180
270
300
360
Answer:360°
Step-by-step explanation:
Answer: D:360
Step-by-step explanation:
A group of children played a balloon dart game at the county fair. The children took turns at the game, and the first 9 players scored
230, 540, 420, 430, 540, 560, 275, 50, 250
Joey is the 10th player, and his score is recorded with the first 9 scores after his turn. If Joey wants his score to be higher than the 70th percentile of all 10 scores, at least how many points does Joey need to score?
Joey needs to score more than 540 points, to be higher than
70th percentile of all scores.
What is percentile?Percentile is defined as the value below which a given percentage falls under.
Example: In a group of 20 children, Ben is the 4th tallest and 80% of the children are shorter than you. Hence, it means that Ben is at the 80th percentile.
The percentile formula determines the performance of a person over others. The percentile formula is used in finding where a student stands in the test compared to other candidates. A percentile is a number where a certain percentage of scores fall below the given number.
Given,
Scores of first 9 players:
230, 540, 420, 430, 540, 560, 275, 50, 250
let the score of joey be x.
Scores of all 10 players
230, 540, 420, 430, 540, 560, 275, 50, 250
Dataset in ascending order =
50, 230, 250, 275, 420, 430, 540, 540, 560
70th percentile of the dataset
k = 70
i = the index
n = total number of given data values = 10
i = k/100(n+1)
i = 70/100 (9+1)
i = 70 × 10/100
i = 7
The index of 70th percentile = 7
value of 70th percentile = value of data on index 7.
value of 70th percentile = 540.
Hence, To be higher than 70th percentile of all scores,
Joey should score more than 540.
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PLEASE TRY YOUR BEST ON THESE
I could really use the help on these questions
Please give me a good answer:)
15 points
Answer:
hey i can help if you want it
Step-by-step explanation:
Getting a sum of either 5, 11, or 12 on a roll of two dice.
Can someone please explain what I need to do in order to go about solving this problem?
9514 1404 393
Answer:
7/36
Step-by-step explanation:
It can be helpful to make a chart similar to the attached that lists all 36 possible outcomes from the roll of two dice.
You can see there are 4 ways to roll a sum of 5. There are 2 ways to roll a sum of 11, and 1 way to roll a sum of 12.
Getting a sum of 5, 11, or 12 on a roll of 2 dice can be achieved 4+2+1=7 of the 36 ways the dice can fall.
P(5, 11, or 12) = 7/36
Any help would be appreciated! :)
Answer:
-7, then -13, then -19
Step-by-step explanation:
Plug in x values to get y.
y = -2(0) - 7
y = 0 - 7
y = -7
y = -2(3) - 7
y = -6 - 7
y = -13
y = -2(6) - 7
y = -12 - 7
y = -19
Hope this helps. :0)
Find the total surface area of this cone.
Leave your answer in terms of t.
3 cm
4cm->
ti
SA = [ ? ] cm2
Hint: Surface Area of a Cone = mre + B
Where l = slant height, and B = area of the base
The surface area of the cone is 36π
How to find the surface area of a cone?Surface area of a cone = πr(r + l)
where
r = radiusl = lengthTherefore,
r = 4cm
l² = 4² + 3²
l² = 16 + 9
l = √25
l = 5 cm
Hence,
r = 4 cm
l = 5 cm
Surface area of a cone = π(r + l)
Surface area of a cone = 4π(4 + 5)
Surface area of a cone = 4π(9)
Surface area of a cone = 36π
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Answer: 36 pi
Step-by-step explanation:
1 Chinese yuan= $0.14567. How many Chinese yuan can u buy for a dollar
The Chinese yuan you can buy for a dollar is 6.86483 Chinese yuan
How to determine how many Chinese yuan you can buy for a dollarFrom the question, we have the following parameters that can be used in our computation:
1 Chinese yuan= $0.14567
Divide both sides of the equation by 0.14567
So, we have the following representation
1/0.14567 Chinese yuan= $0.14567/0.14567
Evaluate the quotient
1/0.14567 Chinese yuan= $1
Evaluate the other quotient
6.86483 Chinese yuan= $1
This means that
$1 = 6.86483 Chinese yuan
Hence, you can buy 6.86483 Chinese yuan for $1
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help with explanation if possible
Answer: 448
Step-by-step explanation: Parallelogram formula base times height
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
c = 90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
Using the Pythagorean theorem, a^2 + b^2 = c^2
54^2 + 72^2 = 8100
c^2 = 8100
[tex]\sqrt{8100}[/tex] = 90
90 = c
A triangular side panel for a roof has the dimensions shown.
26 ft
30°
What is the approximate area, in square feet, of the side panel?
OA.
О в.
O C.
O D.
239
146.4
119.5
60°
292.7
Answer:
d
Step-by-step explanation:
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Does anunify know this ?Simplify and round the answer to the nearest hundreths place
The simplified form of the expression [tex]\sqrt[5]{1215}[/tex] is [tex]3\sqrt[5]{5}[/tex].
What are surds and indices?We know there are two types of radicals one is surds when the number has been raised by such power that it is greater than zero and less than one,
The other type of radicals are indices where a number is raised to such power that is greater than one.
Given, A radical [tex]\sqrt[5]{1215}[/tex].
Now we'll prime factor 1215.
= [tex]\sqrt[5]{5\times243}[/tex]
= [tex]\sqrt[5]{5\times3\times81}[/tex].
= [tex]\sqrt[5]{5\times3\times3\times3\times3\times3}[/tex].
= [tex]3\sqrt[5]{5}[/tex].
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