The mean age of 5 people in a room is 26 years. A person enters the room. the mean age is now 33 so the age of the person 68 who entered the room.
In statistics, in addition to the mode and median, the mean is one of the measures of central tendency. Simply put, the mean is the average of the values in the given set. It indicates that values in a particular data set are distributed equally. The three most frequently employed measures of central tendency are the mean, median, and mode. The total values provided in a datasheet must be added, and the sum must be divided by the total number of values in order to determine the mean. When all of the values are organized in ascending order, the Median is the median value of the given data. While the number in the list that is repeated a maximum of times is the mode.
So According to the question, the Mean of 5 people in a room =26
When a person enters the room mean age becomes = 33
The sum of their age is = 5*6 =130
when other persons enter the room means the total person becomes =6
and the sum of their age after another person enters the room= [tex]x+130[/tex]
where x is the age of the other person entering the room.
so, mean = 33= (130+x)/6
then, 130+x=6*33
And,130+x=198
so,x=198-130 =68
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Please help I really need this tysm to who answers this.
I NEED HELP ASAP!! I'LL GIVE BRAINLIEST TO THE CORRECT ANSWER!!!
Answer:
51473829
Step-by-step explanation:
[tex]2+\frac{3}{4}x=\frac{5}{12}[/tex]
Answer:
[tex]x = -2 \frac{1}{9}[/tex]
hope this helps!
Help! Benji has 10 bills that add up to $320. Some are 50-dollar bills and the rest are 20-dollar bills. How many 50-dollar bills and 20-dollar bills are there ?
What are the answer? (Zoom in to see clearly)
Answer:
15.) -21f - 16
16.) 5s + 2t
Step-by-step explanation:
15.)
-12f - 16 - 9f (Distribute 4 through the parentheses)
-21f - 16 (Collect like-terms)
16.)
4s + 2t + s + s - s (Since two opposites add up to zero, remove them from the expression)
4s + 2t + s (Collect like terms)
Find the area of an equilateral triangle with side length 9.2 cm. Round your answer to 1 DP.
Answer:
Area=36.66 cm^2
Step-by-step explanation:
First, you need the height.
Use the Pythagorean theorem:
hypotenuse^2=height^2+(1/2 base)^2
It's one-half base because it's an equilateral triangle.
1/2 base =4.6
(9.2)^2-4.6^2=height^2
84.64-21.16=height^2
height^2=63.48
height=7.97
Area=(1/2)(base)(height)
Area=(1/2)(9.2)(7.97)=36.66 cm^2
Ivan plans to watch 3 movies each month. Write an equation to represent the total number of movies n that he will watch in m months.
Answer:
n = 3 x m
Step-by-step explanation:
n will represent the total movies he will watch in m month according to your plan of watching three movies each month.
Hans spent three days baking 224 cookies. On the second day, he baked twice as many as he did on the first day. On the third day, he baked half as many as he did on the first day.
How many cookies did he bake on the second day?
Answer:
He baked 448 on the second day
Step-by-step explanation:
Why because he Baked 224 on the 1st day 448 on the second day and 112 on the 3rd
Answer:
128 on the second day
Step-by-step explanation:
solve the inequality y - 8 > 13
Jeremy is 12 4 5 years old. Carl is 1 1 6 years younger than Jeremy and Jane is 1 1 3 years younger than Carl. How old is Jane?
Answer: Jane is 10 9/30 years old
Step-by-step explanation:
Given that Jeremy is 12 4 /5 years old
Carl is 1 1/6 years younger than Jeremy which is why we would subtract giving us
=12 4/5 - 1 1/6
= 11 (24- 5)/30
= 11 19/30 years
and Jane is 1 1 3 years younger than Carl which is why we would subtract giving us
=11 19/30 - 1 1/3
= 10 ( 19 - 10)/ 30
=10 9/30 years
Can you help me on theese two show work!
Answer:
Step-by-step explanation:
2 1/8-3/4
17/8-3/4
17/8-6/8
11/8
6 3/5-3 4/5
33/5-19/5
14/5
1. 2 1/8 - 3/4 = 1 3/8
(work is below)
2 1/8 - 6/8
17/8 - 6/8
11/8
1 3/8
2. 6 3/5 - 3 4/5 = 2 4/5
(work is below)
6 3/5 - 3 4/5
33/5 - 19/5
14/5
2 4/5
Explanation :
First, you need to convert the mixed numbers into improper fractions. Then, you make sure the denominators are the same. (For example, in the first problem, you have to change the 3/4 to 6/8 to match the 17/8.) Then, you subtract the two fractions, and then turn the resulting improper fraction to a mixed number!
What is the area of this?
[tex]area = lw \\ area = (7.5)(6) \\ area = 45 {feet}^{2} [/tex]
[tex]area = \frac{1}{2} bh \\ area = \frac{1}{2} (6)(4) \\ area = \frac{1}{2} (24) \\ area = 12 {feet}^{2} [/tex]
total area = 45 + 12
total area = 57 feet²
Find the value of x.
Answer:
x = 3Step-by-step explanation:
5x + 4 = 0.5×38
5x + 4 = 19
5x = 19 - 4
5x = 15
x = 3
Factorize completely
80p2 - 180r2
Answer:
80p2 - 180r2
20(4p²-9r²)
20(2p+3r)(2p-3r)
Answer:
20(2p - 3r)(2p + 3r)
Step-by-step explanation:
Given
80p² - 180r² ← factor out 20 from each term
= 20(4p² - 9r²) ← difference of squares which factors in general as
a² - b² = (a - b)(a + b)
4p² - 9r²
= (2p)² - (3r)² ← with a = 2p and b = 3r
= (2p - 3r)(2p + 3r)
Thus
80p² - 180r² = 20(2p - 3r)(2p + 3r) ← in factored form
pls help Kerry cut an $8$ -foot-long board into $6$ pieces that are equal in length.
Answer:
Kerry should cut it into 1 1/3 pieces
Step-by-step explanation:
divide the total by the parts you want to get the length of a part
8/6=4/3
Is the ordered pair (4,-3) a solution for the following system of linear inequalities?
x+y<+1 y<5x-2
Answer:
no
Step-by-step explanation:
(4, -3) when plugged into the inequality x + y < 1 is not true
4 + (-3) < 1 is not true because 1 is not less than 1
Select the three number bonds that represent factor pairs of the number 56. CLEAR CHECK Number bond: 1 times 56 = 56. Number bond: 4 times 14 = 56. Number bond: 5 times 6 = 56. Number bond: 7 times 8 = 56.
Answer:
The answer is -
Number bond: 1 times 56 = 56.
Number bond: 4 times 14 = 56.
Number bond: 7 times 8 = 56.
Step-by-step explanation:
We can define a factor pair as a set of two factors, which, when multiplied together, give a particular product.
For example -
5 and 6 are factors of 30 because 5×6 = 30
Now,
Given -
Number bond: 1 times 56 = 56. ...................(1)
Number bond: 4 times 14 = 56. ...................(2)
Number bond: 5 times 6 = 56. ...................(3)
Number bond: 7 times 8 = 56. ...................(4)
In equation (1)
1 times 56 = 1×56 = 56
⇒1 and 56 are the factor pairs of 56
Satisfies
In equation (2)
4 times 14 = 4×14 = 56
⇒4 and 14 are factor pairs of 56
Satisfies
In equation (3)
5 times 6 = 5×6 = 30 ≠ 56
⇒5 and 6 are not factor pairs of 56
Not Satisfies
In equation (4)
7 times 8 = 7×8 = 56
⇒7 and 8 are factor pairs of 56
Satisfies
∴ we get
The answer is -
Number bond: 1 times 56 = 56.
Number bond: 4 times 14 = 56.
Number bond: 7 times 8 = 56.
Write an equation of the line that passes through (−2,1) and is parallel to the line y=3x−4.
Equation: y=
Answer:
y = 3x+7
Step-by-step explanation:
the slope of parallel lines are the same so the slope is 3
y-y1 = 3(x - x1)
y- 1 = 3(x- -2)
y-1 = 3x +6
y = 3x +7
If m<1=(6x+25), and m<2=(x+5), find m<2
Answer:
Assuming they are equal to each other, X = -4
Step-by-step explanation:
6x + 25 = x + 5
Subtract 5 from both sides
6x + 20 = x
subtract 6x from the left side
20= 5x
divide by 5
-4 = x
Find the missing value to the nearest hundredth.
Cos = 5/36
Answer:
Step-by-step explanation:
"cos" by itself is meaningless. It needs an argument.
cos(x°) = 5/36
x° = arccos(5/36) ≅ 82.2°
My song lol. Help me plz
Answer:
false
Step-by-step explanation:
Subtract (-3f - 4g + 9) - (2 - 6f + 5g).
Answer:
Step-by-step explanation:
Remove the brackets. Watch out for that minus sign. It affects all three terms in the right bracket.
(-3f - 4g + 9) - (2 - 6f + 5g)
-3f - 4g + 9 - 2 + 6f - 5g
+3f - 9g + 7 is your answer.
Answer:
3f−9g+7
Step-by-step explanation:
(−3f−4g+9)−(2−6f+5g)
To find the opposite of 2−6f+5g, find the opposite of each term.
−3f−4g+9−2−(−6f)−5g
The opposite of −6f is 6f.
−3f−4g+9−2+6f−5g
Subtract 2 from 9 to get 7.
−3f−4g+7+6f−5g
Combine −3f and 6f to get 3f.
3f−4g+7−5g
Combine −4g and −5g to get −9g.
3f−9g+7
Please help marking brainiest
Answer:
can you blow the image up or tell me what it says
Step-by-step explanation:
Animal Nutrition Kevin's dog Amadeus likes two kinds of canned dog food. Gourmet Dog costs 40 cents a can and
has 20 units of a vitamin complex; the calorie content is 75 calories. Chow Hound costs 32 cents a can and has 35 units of vitamins and 50 calories. Kevin likes Amadeus to have at least 1175 units of vitamins a month and at least
2375 calories during the same time period. Kevin has space to store only 60 cans of dog food at a time. How much of each kind of dog food should Kevin buy each month to minimize his cost?
Answer:
The answer should be 15 cans GD and 25 cans CH
Step-by-step explanation:
Ellen's living room is 3 meters wide and 8 meters long. She wants to install pink carpet that costs $9.00 per square meter. How much will it cost to buy enough carpet for the living room?
Answer:
$216
Step-by-step explanation:
................
Area of room =(l*b)
=(3*8)m²= 24m²
Carpet needed = 24m²
Cost of 1m² carpet= $9
Cost of 24m² carpet= $(9*24)
= $216
Answer:
i think ur answer would be $243
Step-by-step explanation:
sorry if wrong
hope this helps
2
Alice and Charlie share some money in the ratio 5:12.
Charlie gets £108. How much does Alice get?
Answer:
£45
Step-by-step explanation:
5 : 12
multiply by 9 to get the ratio of
45: 108
Hey, guys I need help :)
Answer:
Option B is the crt ans☺️☺️☺️☺️Solve 4[10x + 5) = 260
Answer:
sry dont know
Step-by-step explanation:
Answe
its x=6
Step-by-step explanation:
find the percent of decrease from 62 trees to 31 trees. Round the percent to the nearest tenth if necessary.
Answer:
50%
Step-by-step explanation:
62-31=31
31÷62×100
=50%
is 25 meters longer then 35 yards