A mean is an arithmetic average of a set of observations. The value of the unknown number is 16.
What is Mean?A mean is an arithmetic average of a set of observations. it is given by the formula,
Mean = (Sum of observations)/Number of observations
Let the unknown number be represented by x.
As per the formula of averages, we can write,
Mean = (Sum of observations)/Number of observations
(7 + 8 + 21 + 33 + x)/5 = 17
(69 + x) / 5 = 17
Multiply both the sides of the equation by 5,
(69 + x)/5 × 5 = 17 × 5
69 + x = 85
Subtract 69 from both the sides of the equation,
69 + x - 69 = 85 - 69
x = 16
Hence, the value of the unknown number is 16.
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Heather drove 265 miles using 10 gallons of gas. At this rate, how many gallons of gas would she need to drive 424 miles?
Answer:
Step-by-step explanation:
Next bit of info that we have is 424 miles. Miles go on the numerator, and gallons, which we will call "x" will go on the denominator. It should be set up like this: 265/10 = 424/x Once you cross multiply you should get 265x=4240. Divide 265 by both sides and the answer is 16 gallons. Sorry if its wrong
Can any math experts please help me out with this? Thank you,
Answer:
13) x = 19
14) x = 12.4
Step-by-step explanation:
So, for 13, we know that the whole thing is 90 degrees, a right angle.
So, (4x - 17) + 31 = 90
Now, we'll subtract 31 from 90 to figure out the other angle.
4x - 17 = 59
Now, add seventeen to both sides to get 4x alone...
4x = 76
Divide each by four!
x = 19
Now, to check, we plug this x value into our first equation:
(4(19) - 17) + 31 = 90
(76 - 17) + 31 = 90
(59) + 31 = 90
90 = 90 :: true!
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For 14, we know that the total must be 180, because it's a straight angle.
So, (5x + 22) + 96 = 180
Again, subtract the known angle from each side:
5x + 22 = 84
Subtract 22 from each side to get the exponent by itself...
5x = 62
Divide each side by 5:
x = 12.4
Now, plug it in to check.....
(5*12.4) + 22 + 96 = 180
62 + 22 + 96 = 180
84 + 96 = 180
180 = 180 :: true!
2x +2y-16x+4y+20=0 solve by completing the square
Answer
7/3
Step-by-step explanation:
Find f of x and f of y
F(x,y) = 2x + 27 - 16x + 4y + 20, f of x = -14
F(x,y) = 2x + 2y - 16x + 4y + 20, f of y = 6
Find the fist partial derivative
f of x = -14
f of y = 6
Subsitude f of x = 14 and f of y = 6 into dy/dx = - f of x / f of y
reduce the fraction
dy/dx = - 14/6 = - - 7/3 = 7/3
8 ≤ 2m Find variable of m
Please show your work
Answer:
m ≥ 4
Step-by-step explanation:
8 ≤ 2m
8/2 ≤ m
4 ≤ m
m ≥ 4
Which of the x values are solutions to the inequality 4(2 – x) > –2x – 3(4x + 1)? Check all that apply.
Step-by-step explanation:
[tex]4(2 - x) > - 2x - 3(4x + 1)[/tex]
[tex]8 - 4x > - 2x - 12x - 3[/tex]
[tex]8 - 4x > - 14x - 3[/tex]
[tex] - 4x + 14x > - 3 - 8[/tex]
[tex]10x > - 11[/tex]
[tex]x = - 1.1[/tex]
Answer:
[tex]x > \frac{-11}{10}[/tex]
Step-by-step explanation:
Step 1: Distribute
[tex]4(2 - x) > -2x - 3(4x + 1)[/tex]
[tex](4*2)+(4 * (-x)) > -2x + (-3 * 4x) + (-3 * 1)[/tex]
[tex]8 - 4x > -2x - 12x - 3[/tex]
Step 2: Combine like terms
[tex]8 - 4x > (-2x - 12x) - 3[/tex]
[tex]8 - 4x > -14x - 3[/tex]
Step 3: Add 14x to both sides
[tex]8 - 4x + 14x > -14x - 3 + 14x[/tex]
[tex]8 + 10x > -3[/tex]
Step 4: Subtract 8 from both sides
[tex]10x + 8 - 8 > -3 - 8[/tex]
[tex]10x > -11[/tex]
Step 5: Divide both sides by 10
[tex]\frac{10x}{10} > \frac{-11}{10}[/tex]
[tex]x > \frac{-11}{10}[/tex]
Answer: [tex]x > \frac{-11}{10}[/tex]
Mean:median:mode:range
Answer: Hi there ^^ oki so ima explain what these are/mean
So for starters this is used in math and isnt really useful but u got to do the work sadly so.
the mean is the arithmetic average of a set of given numbers.
the median is the middle in sorted numbers (after u sort the given numbers), ascending or desending, list of numbers can be more descripited of that data set than the average.
the mode is the value that appears most frequently, for example "the mode of {4,2,4,3,2,2} is 2 because it accurs 3 times, so in short words the mode is the number used the Most,
And lastly the Range is the differance between the highest and the lowest values in a set of numbers.
i hope this helps u out! ^^ ~xlXCherryColaXlx
To make a small vase, Elisa uses no more than 4.5 ounces of clay. To make a large vase, she uses at least 12 ounces of clay. Which compound inequality represents the number of ounces of clay, c, that Elisa uses to make one vase of either size?
4.5 < c < 12
4.5 ≤ c ≤ 12
c < 4.5 or c > 12
c ≤ 4.5 or c ≥ 12
Answer:
last one is the answer of the following question
Answer:
D
Step-by-step explanation:
Trey plans to watch 2 movies each month. Write an equation to represent the total number of movies n that he will watch in m months.
Answer:
2n*m. when there is a one in front of a letter, it is immediately just the letter
Darcy pays $37.95 for a 25.3-kilometer taxi ride.
How much does Darcy pay, in dollars, per kilometer?
Answer:
1.5 per kilo
Step-by-step explanation:
Answer: That would be $1.50
Explanation: I took a test and I got it right
there are c cyclist in a cycle race 3/4 of the cyclist finish the race how many cyclist did not finish give a algebraic formula
1/4
if 3/4 cyclists finish then that leaves 1/4 of the group that did not finish
Molly's alarm clock fell to the floor and the glass face was broken. Molly measured the glass face so that she could order a new one.
The radius of the circle-shaped glass face is 8 centimeters. What is the approximate area of the glass face? (Use 3.14 for .)
Answer:
200.96 cm^2
Step-by-step explanation:
πr^2 is the formula for the area of a circle
π*8^2
64π
substitute pi with 3.14
64 * 3.14 = 200.96
200.96
mark brainliest please!
Find the perimeter of the figure below
Answer:
60 ft.
Step-by-step explanation:
The missing side length would be 6 ft.
14-8=6
Add up all the sides: 14+16+6+9+8+7=60
Hence, the perimeter is 60 ft.
Hope this helps!
the table shows the fees david charges for yard work
how much does david charge for yard work that takes 4.5 hours
Pleaseeee answer I’ll give you pointsss
Answer:
Okay . That looks interesting. Can't help.
Box A contains only 20-cent coins and Box B contains only 50-cent coins. The number of coins in Box A is twice the number of coins in Box B. The amount of money in Box B is $1.60 more than the amount of money in Box A. How many 20-cent coins are there in Box A?
Answer: C
Step by Step Explanation:
20¢ 50¢ Box A : Box B Diff Box B -- Box A 2 : 1 0.50--0.40 = $1.600.20 * 2 : 0.50 0.104 = 1.600.40¢ u = 1.60 ------16, 0.40¢ Coins Box A 0.1032, 0.20¢ Coins Box A u = 16 The answer choice is C
(1) 8
(2) 16
(3) 32
(4) 48
Answer:
find out and discuss drawbacks that campaigners should avoid in order to run a successful social media campaign against human rights violations
Hoy do you write 75% as a fraction
Step-by-step explanation:
[tex] = \frac{75}{100} \\ [/tex]
[tex] = \frac{75 \div 5}{100 \div 5} \\ [/tex]
[tex] = \frac{15 \div 5}{20 \div 5} \\ [/tex]
[tex] = \frac{3}{4} \\ [/tex]
Solve the following equation
Answer:
Write it down in comments i can barely see
Step-by-step explanation:
A coin tossed four times and a card is selected from a standard deck of cards
Probability of landing on tails = 1/2Probability of choosing a spade = 1/4, as there are 13 spades in a pack of 52 cardsSo the probability of both = 1/2 * 1/4 = 1/8.We are assuming the deck of cards does not contain jokers.
coulddd i be helped really quick?
So
For every increase in cover price of x means 5x+0.5 decreases customers by 30
So
the expression is
5x+0.5=300y-305x=300y-30.5300y=5x-30.55x-300y-30.5=0whats 1 added up to 1?
How would I solve I need to know Asap and what is the answer
Answer:
All of them are true.
Step-by-step explanation:
The symbol ≅ is used to show congruence between two shapes.
Congruency means that the shapes have the same shape and size.
This means that the two shapes are the same.
This means that all sides are going to be the same, so the first two statements are true.
This also means that the angles are the same, so the last two statements are also true.
mark brainliest please!
Answer:
1 and 3 are correct.
Step-by-step explanation:
You can just look at the order of the letters in the triangle congruence statement and see if they correspond with the answer choices.
For example... OC is congruent to JA because for both segments, it's the first letter, then the second letter from the beginning triangle congruence statement.
(a) Is the image
of the dilation a reduction or an enlargement of the original figure? Explain.
(b) What is the scale factor? Explain.
7th Grade Math:
A library keeps track of the number of overdue items at the end of each month.
* At the end of April, there were x overdue items.
* At the end of May, the number of overdue items was 3% less than the number of overdue items at the end of April.
The expression x - 0.03x represents the number of overdue items at the end of May. Which sentence best explains how to simplify the expression that represents the number of overdue items at the end of May?
A. Combine x and 0.03x, since they are like terms, by cancelling out the x.
B. Combine c and 0.03x, since they are like terms, by subtracting 1 - 0.03 to find the new coefficient.
C. Factor out an x, since it appears in both terms, leaving 1 in the first term and 0.03x in the second term.
D. Factor out an x, since it appears in both terms, eliminating the first term and leaving 0.03 in the second term.
Answer:
(Mostly) C. Or D
Step-by-step explanation:
Because you first have to factor out the equation by factoring the x . The this will leave you with the terms. Hopefully This Helps.
find the area for the shaded region
Answer:
610m^2 because that's math
Step-by-step explanation:
42x25 - 20x22
Step-by-step explanation:
S SOLUTION:
THE VOLUME OF CUBIOD IS 25 X 22 X 42=23100. M 3
VOLUME OF CUBIOD ; LENGTH X WIDTH X HEIGHT.
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this answer is correct
brain less this answer
Question in picture below
Answer:
f(x) = 3sin(3.1416(x +4)/7)
Step-by-step explanation:
You want the equation of a sine function with an amplitude of 3 and having one cycle between the points (-11, 0) and (3, 0), where it has negative slope.
EquationThe equation will generally be of the form ...
f(x) = (amplitude)·sin(2π/(period)·(x-(horizontal translation)))
ApplicationHere, the amplitude is 3 units, the period is (3 -(-11)) = 14 units, and the horizontal translation from the origin to the positive-going midline crossing is 4 units to the left.
Then f(x) is ...
f(x) = 3·sin(2π/14(x -(-4))
f(x) = 3·sin(3.1416/7(x +4))
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The regular price of a sofa, in dollars, is represented by . The sale price of the sofa is 30%off the regular price. Select alltrue statements.
A. The sale price of the sofa can be represented by −0.3.
B. The sale price of the sofa can be represented by 0.7.
C. The sale price of the sofa can be represented by 0.3
D. The dollar amount of the discount for the sale price can be represented by 0.3.
E. The dollar amount of the discount for the sale price can be represented by −0.3.
Answer:
BEStep-by-step explanation:
The sale price of the sofa is given as :
Original Price (100% - 30%)Original Price (70%)Original Price (0.7)The dollar amount for the discount
- 30% [discount]-0.3What is the surface area of the cylinder with height 3 yd and radius 4 yd? Round your
answer to the nearest thousandth.
A≈175.93yd²
A=2πrh+2πr2=2·π·4·3+2·π·42≈175.92919yd²
Therfore the surface area of the cylinder with height 3 yd and radius 4 yd is 175.93
30 points
A. Transform F using the rule (x, y) → (-x, y)
B. Describe the transformation precisely.
C. Does the transformation result in a a congruent figure?
Answer:
A: You plot these points (-3,4) (-3,6) (-5,6) (-7,4)
B: The transformation would be described as a reflection over the y axis
C: The transformation does result in a congruent figure because the shape doesn't change in size or shape and in length or width
Step-by-step explanation:
So our plots from the figure are: (3,4) (3,6) (5,6) (7,4)
So using the rule (x, y) → (-x, y) are new points would be:
(-3,4)
(-3,6)
(-5,6)
(-7,4)
This rule (x, y) → (-x, y) is used for the type of transformation that is a reflection but over the y axis.
Can someone help me please
Answer:
7⅞
Step-by-step explanation:
NO.OF HATS TO BE MADE= 9
YARD OF YARN NEEDED TO MAKE EACH HAT= 7/8
THEN,
TOTAL YARDS OF YARN= 9*7/8
= 63/8
Given to write answer in mixed form= 7⅞
ThankYouPlease mark me as brainliest
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
x=18
Step-by-step explanation:
In this question we can use the Geometric mean of leg theorem
The theorem states that the hypotenuse/leg 2 = leg 2/part 2
In this problem, leg 2 is x+18, the hypotenuse is 72, and part 2 is x.
Plugging the given values in, we get
72/x+18=x+18/x
We can then simplify it.
(x+18)^2=72x
x^2+36x+324=72x
x^2-36x+324=0
That is equal to (x-18)^2
So, x=18