The required formula to find the number of students who attended the fourth meeting is 80 = 56 + x
Using the mean formula, the number of students who attended the fourth meeting is 24
Formula to obtain the mean :
Mean = ΣX/ n
X = number of students that attended each meeting
n = number of meetings
X = meeting 1 + meeting 2 + meeting 3 + meeting 4
n = 4
Mean = 20
Let number of students who attended 4th meeting = x
Mean = ΣX/ n
20 = (18 + 21 + 17 + x) / 4
80 = 56 + x
x = 80 - 56
x = 24
Hence, 24 students attended the fourth meeting.
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- 11 - 2p = 6р +5(p+3)
What would this be?
Answer:
[tex] - 11 - 2p = 6p + 5(p + 3) \\ - 11 - 2p = 6p + 5p + 15 \\ p \: termstogther \\ - 11 - 15 = 6p + 5p + 2p \\ - 26 = 13p \\ p = \frac{ - 26}{13} = -2 \: p = -2\\ thank \: you[/tex]
Answer: p = -2
Step-by-step explanation:
Given expression
-11 - 2p = 6p + 5(p + 3)
Expand parentheses and apply the distributive property
-11 - 2p = 6p + 5p + 15
Combine like terms
-11 - 2p = (6p + 5p) + 15
-11 - 2p = 11p + 15
Add 11 on both sides
-11 - 2p + 11 = 11p + 15 + 11
-2p = 11p + 26
Subtract 11p on both sides
-2p - 11p = 11p + 26 - 11p
-13p = 26
Divide -13 on both sides
-13p / -13 = 26 / -13
[tex]\boxed{p=-2}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Let r= (4+i) and s= 1-i. What is the value of r2-s?
Answer:
r^2 - s = 14 + 9i
Step-by-step explanation:
r^2 = 4^2 + 8i + i^2
r^2 = 16 + 8i - 1
r^2 = 15 + 8i
r^2 - s = 15 + 8i - (1 - i)
r^2 - s = 15 + 8i - 1 + i
r^2 - s = 14 + 9i
Kelly works two jobs. She usually works at a retail store for 5 hours during the day and is paid $18.26 per hour by the store. In the evening she works at a restaurant as a manager for 6 hours and is paid $20.48 per hour. How much does she make on average per hour for the day?
Answer:
19.47 per hour
Step-by-step explanation:
You take 5×18.26 which equals 93.1. Then you take 6×20.48 which equals 214.18. You then add the totals which gives you 122.18. Then you divide the total but the total number of hours she works which is 11 and that gives you 19.47.
Choose and solve an equation for the following real-world context: Your friend charged your neighbors $72 for mowing their lawn 8 times. How much did your friend change for mowing the lawn once?
Answer:
$9
Step-by-step explanation:
8 lawns=$72
1 lawn=$72÷8
=$9
g(x)=x^2-5
g(9)
help!
A=2(L+W) solving for W
Answer:
A/2 - L = W
Step-by-step explanation:
A=2(L+W)
Divide each side by 2
A/2=2/2(L+W)
A/2=(L+W)
Subtract L
A/2 - L = L+W-L
A/2 - L = W
Answer:
A/2-L=W
Step-by-step explanation:
A/2=L+W
A/2-L=W
I need help on the question up here
2x + 4a = 10
2x = 10 - 4a
x = 5 - 2a
Replace your expression for h2 in c2=h2 b2-2bx x2.
Answer:
c²=a²+b²-2bx
Step-by-step explanation:
Given,
h²=a²-x²
We need to plug this equation into
c²=h²+b²-2bx+x²
We can replace h² and we get
c²=a²-x²+b²-2bx+x²
Now, we can cancel the terms
c²=a²+b²-2bx
So we get after simplification as
c²=a²+b²-2bx
Answer:
A. C2 = a2 - x2 + b2 - 2bx + x2
Step-by-step explanation:
Hope this helps whoever needs it
-4+ 3
2x + 7
Z
X 8 cm Y
Answer:
Plz question ask in right way
The manager of a movie theater wants to know what types of movies his customers prefer to watch. Which sample would most likely provide the most accurate data?
Answer: a random group of 30 people at a mall
Step-by-step explanation:
Got it from edgenuiy
PT=3x+9 and TQ=8x-6 find PT
Answer:
Step-by-step explanation:
Measuring the speed of sound in the ocean is an important part of marine research. One application is the study of climate change. The speed of sound depends on the temperature, salinity, and depth below the surface. For a fixed temperature of 25 degrees Celsius and salinity of 35 parts per thousand, the speed of sound is a function of the depth. At the surface, the speed of sound is 1534 meters per second. For each increase in depth by 1 kilometer, the speed of sound increases by 17 meters per second.
What increase in the speed of sound is caused by a 4-kilometer increase in depth?
Step-by-step explanation:
speed of sound in x depth = 1534 + 17x
4 × 17 = 68 is the increase of sound speed caused by 4 km increase in depth
- Find the midpoint of a line with endpoints M (2,4) and N (1,3).
Step-by-step explanation:
MP = (2+1÷2) +(4+3÷2)
= (1 ½ ; 3½)
I think
Which step in the construction of copying a line segment ensures that the new line segment has
the same length as the original line segment?
Answer:
The step two in the construction of copying a line segment ensures that the new line segment has the same length as the original line segment.
Step-by-step explanation:
The steps to copy a line segment:
1. Move the compass place to point P.
2. Change the span of the compass to the length of the first line portion (PQ).
3. Move the compass place to R.
4. Draw a bend that meets the line to one side of R.
Learn more about line segment, refer :
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The sum of a rational and an irrational number is-
Answer:
The sum of a rational number and an irrational number is always irrational.
Answer:
The answer is-
an irrational number :)
Explanation
What is the total length of 3 pieces that are 1/4 foot long?
Answer:
3/4
Step-by-step explanation:
1/4 + 1/4 + 1/4 =3/4
or
1/4 x 3 = 3/4
Answer:
3/4 feet
Step-by-step explanation:
the common denominator (4) always stays the same.
you add the 3 pieces.
Write as a decimal:
1.24
Answer:
1.24
Step-by-step explanation:
It's already a decimal.
Answer:
0.0124
Step-by-step explanation:
(If you mean 1.24% than...) 1.24% means 1.24 out of 100. So, do 1.24 divided by 100, and you should get 0.0124. (Sorry, if this is wrong)
The average weight of the top 5 fish at a fishing tournament was 12.5 pounds. Some of the weights of the
fish are shown in the table.
Top 5 Fish
Caught by Weight (lb)
Wayne S.
?
Carla P.
13.6
Deb N
12.8
Vincente R.
12.2
Armin G.
9.8
What was the weight of the heaviest fish?
The weight of the heaviest fish was
the product of any integer and 10, ends in 0.
true or false?
Answer:
false. example: 6 x 10. 6 is an integer, but 6 x 10 = 60, not 0. hope this helps
Step-by-step explanation:
- Zombie
Thomas invested $40,000. He put part of the money in an account paying 2% interest and the remainder
into stocks paying 3% interest. The total annual income from these investments was $1020. How much
did he invest at each rate?
(show work please)
Answer:
18,000 at 2%
22,000 at 3%
Step-by-step explanation:
x: the amount in account paying 2% interest
y: the amount in stock paying 3% interest
x + y = 40,000
2%. x + 3%. y = 1020
⇒ x = 18,000
y = 22,000
I need the answer asap! Put these in order from greatest to least,
-4, the absolute value of -5, 0.25, -1 1/5, -2.5, 0.25
Answer: the absolute value of -5, 0.25, 0.25, -2.5, -1 1/5, -4
Step-by-step explanation:
find the distance between. the points (-1,-2) and (-2,0 round too the nearest hundredth
Answer:
√5
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√[-2 - (-1)]² + [0 - (-2)]²
√(-1)² + (2)²
√1 + 4
√5
HI CAN YALL PLS HELP ME ASAP
Answer:
27/8
Step-by-step explanation:
To find the third power of the expression, we multiply it by itself 3 times
3/2 * 3/2 * 3/2 = 27/8
[tex] ( \frac{3}{2})^{3} \\ = \frac{ {3}^{3} }{ {2}^{3} } \\ = \frac{3 \times 3 \times 3}{2 \times 2 \times 2} \\ = \frac{27}{8} [/tex]
Answer:[tex] \frac{27}{8} [/tex]
Hope it helps!!ray4918 here...
Write an equation for the following real life scenario.
Use "h" to represent your variable.
Diane worked to earn $48.50 babysitting her neighbors, she earns $6.00 per hour.
I don't understand the question
[tex]( {5}^{3} ) {}^{5} [/tex]
simplify the following expression. answer choices are - A. 5 to the 15th power B. 5 an -2 C. 5 to the 10th power. and D. 5 to the 8th
Step-by-step explanation:
[tex] ({ {a}^{m}) }^{n} = {a}^{mn} [/tex]
[tex] ({ {5}^{3}) }^{5} [/tex]
[tex] {5}^{5 \times 3} [/tex]
[tex] {5}^{15} [/tex]
Option A
[tex]\Large \boldsymbol {} \pmb {\ \ \ \huge\boxed{ \boxed{ \ \ \ (a^n)^m =a^{m\times n }\ \ \ }} \ \ \ } \\\\\\\\ (5^3)^5=5^{3\cdot 5}=5^{15 }[/tex]
if a- 2b +3c =0 prove that a³ -8b³+ 27c²= - 18abc
Step-by-step explanation:
the answer is in the photo as attached
Answer:
Use the identity:
x³ + y³ + z³ = 3xyz if x + y + z = 0Substitute:
x = a, y = -2b, z = 3cto get
a³ + (-2b)³ + (3c)³ = 3a(-2b)(3c)a³ - 8b³ + 27c³ = --18abcIt takes 3 minutes to make one full rotation on each of the wheels.
Find the linear speed if you are riding on the green wheel
Answer:
Step-by-step explanation:
Brainiest plz I need help asap
Answer:
2: B*W=A (Answers)
Step-by-step explanation:
A: A meter of rope should cost $0.8 or 80 cents.
B: It should be 1.20 meters.
3-2+x+ 436 123/157 =
3 - 2 + x + 436 123/157 =
1 + x + 436 123/157 =
437 123/157 + x =
68732/157 + x
In 2005, it took 18.54 currency units to equal the value of 1 currency unit in 1915. In 1990, it took only 13.30 currency units to equal the value of 1 currency unit in
1915. The amount it takes to equal the value of 1 currency unit in 1915 can be estimated by the linear function V given by V(x) = 0.3584x + 13.9132, where x is the
number of years since 1990. Thus, V(11) gives the amount it took in 2001 to equal the value of 1 currency unit in 1915. Complete parts (a) and (b) below.
a) Use this function to predict the amount it will take in 2008 and in 2017 to equal the value of 1 currency unit in 1915.
In 2008, it will take currency units.
(Round to two decimal places as needed.)
Answer:
2008 - 1990 = 18
x = 18
v(x) = 0.3584x + 13.9132
= 0.3584 × 18 + 13.9132
= 6.4512 + 13.9132 = 20.3644 = 20.36
in 2017
2017 - 1990 = 27
= 9.6768 + 13.9132 = 23.59