3 A community centre has several rooms There are 20 chairs in each of six rooms. There are 30 chairs in each of another four rooms. Work out the mean number of chairs per room.
Answers
Answer:
First, let's calculate the total number of chairs in the six rooms with 20 chairs each:
20 chairs/room x 6 rooms = 120 chairs
Next, let's calculate the total number of chairs in the four rooms with 30 chairs each:
30 chairs/room x 4 rooms = 120 chairs
Now we can add the total number of chairs in both sets of rooms:
120 chairs + 120 chairs = 240 chairs
To find the mean (average) number of chairs per room, we divide the total number of chairs by the total number of rooms:
240 chairs / 10 rooms = 24 chairs per room
Therefore, the mean number of chairs per room is 24.
Related Questions
please help me with this
Evaluate -8 × |2|.
Answers
Answer:
-16
Step-by-step explanation:
The absolute value of 2 is 2 so -8*2=-16
The softball team coach buys 10 pizzas after the game. altogether 4/5 of the pizza where eaten how many pizzas were eaten ?
5 points for this. I NEED THIS QUICKLY PLS HELP
Answers
Answer: 8 pizzas.
Step-by-step explanation:
4/5 of 10 is 8. You can multiply 4/5 X 10 to get 8. Therefore, 8 pizzas were eaten.
Answer:
6x + 10t
Step-by-step explanation:
hope this helped! thats the equation for it if thats what you need.
Mark me brainliest :D
Please awnser asap I will brainlist
Answers
Answer:
True
Step-by-step explanation:
The easiest way to understand this problem is to first breakdown the notation. In words, the problem is stating 9 is NOT an element of the set containing the elements 4, 1, 8, and 7. Since 4\(\neq\)9, 1\(\neq\)9, 8\(\neq\)9, and 7\(\neq\)9 then 9 is not an element of this set and the statement is true.
The length of a rectangle is 4 inches longer than it is wide. If the area is 32 square inches, what are the dimensions of the rectangle?
Answers
Answer:
width = 4in
length = 8in
Step-by-step explanation:
A = LxW = 32
L = W + 4
W(W+4) = 32
W² + 4W - 32 = 0
(W + 8)(W - 4) = 0
W ≠ -8 (dimensions cannot be negative)
W = 4in
L = W+4 = 4+4 = 8in
Two UNO students want to start a business selling slushies at the Gene Leahey Mall during the summer. They will have an initial cost of $500 to buy equipment and an additional $1.25 cost for each slushie they sell. They
plan to charge $3.50 for each slushie. Let C(x) represent the cost (in dollars) associated with starting and running the business and R(x) represent the revenue (in dollars) earned from sales. Let x represent the number
of slushies sold.
a. Write a linear function for cost.
C(x) =
b. Write a linear function for revenue.
R(x) =
Answers
Part (a)
The cost is the initial cost plus the cost per slushie multiplied by the number of slushies sold.
\(C(x)=500+1.25x\)
Part (b)
The revenue is the number of slushies sold multiplied by the amount charged per slushie.
\(R(x)=3.50x\)
• 10%
5) An experiment consists of spinning the spinner shown below 200 times and recording the
results in a frequency table. Based on theoretical probability, how many times would you
expect the color blue or green to be spun?
BLUE
GREEN
YELLOW
REd
Answers
Based on their given probabilities, e would expect the color blue or green to be spun approximately 75 times in this experiment.
How many times can the blue or green color be obtained?To find the expected number of times the color blue or green will be spun, we first need to add their probabilities:
0.25 + 0.125 = 0.375
This means that, on average, we would expect to see blue or green spun 0.375 times for every spin. To find the expected number of times this will happen over 200 spins, we can multiply the probability by the number of spins:
0.375 x 200 = 75
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Find a polynomial of degree n that has only the given zero(s). (There are many correct answers.
x = -3, -1;
n = 4
Answers
The required polynomial function is x^4 + 8x³ + 22x² + 24x + 9
In this question,
We have been given the zeros of a polynomial and the degree of a polynomial.
We need to find the polynomial of degree 4 and has zeros x = -3, -1
If a polynomial function f(x) has zeros x = -3, x = -1, then it has factors
(x + 3), (x + 1).
If these were its only factors, then polynomial would be a quadratic.
This means, both the zeros must be of multiplicity 2.
So, the roots of the polynomial must be of the form f(x) = (x + 3)²(x + 1)²
f(x) = (x + 3)²(x + 1)²
f(x) = (x² + 6x + 9)(x² + 2x + 1)
f(x) = x^4 + 8x³ + 22x² + 24x + 9
Therefore, the required polynomial function is x^4 + 8x³ + 22x² + 24x + 9
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In one class, there are 2 of every 8 students in the class chewing
gum. If there are 32 students in the class, how many students are
chewing gum?
Answers
Answer:
8
Step-by-step explanation:
Answer:
8 people are chewing gum
Step-by-step explanation:
32/8=4, meaning there are 4 sets of 8 students.
If 2 students are chewing gum for every 8, and there are 32 students, that would mean that multiplying 4 by 2 to get 8 total kids chewing gum.
You could also say that 6*4=24, and 32-24=8 if you want to double check.
Hope this helps :)
21.7.3 Quiz: Intersecting Lines and Proofs
Which pairs of angles in the figure below are vertical angles?
Check all that apply.
R
P
T
D
B
Answers
The pairs of angles that are vertical angles in the figure are R and T.
In the figure provided, vertical angles are formed by the intersection of two lines. Vertical angles are always congruent (equal in measure) to each other.
Looking at the given options:
R and T are vertical angles because they are formed by the intersection of lines.
P and D are not vertical angles. They are adjacent angles formed by the intersection of lines, but they are not directly opposite each other.
Therefore, the pairs of angles that are vertical angles in the figure are:
R and T
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4
Jared has a collection of 90 movies on DVD. If
46 of the movies are comedies, 26 are drama,
and the rest are science fiction, what percent of
the movies are science fiction?
A) 18
B) 20
C) 28
D) 32
Answers
Answer:
A) 18
Step-by-step explanation:
add 46 and 26, you get 72
now, subtract 72 from 90 and what do you get?
........ not gonna tell me huh? XDD
you get 18, right???
to make sure you calculated correctly, add everything together
46 + 26 + 18 = 90!!!
yay! so from what ive just showed you, what can you determine???
that 18 of the movies are science fiction.
Good luck and I hope this helped, if so... would you please mark me as brainliest?? Thanks!!
Simplify the expression 2^5 +5^4
Answers
Therefore
\(2^5+5^4=657\)What is the length of the line?
Answers
Answer:
B) 5
Step-by-step explanation:
The points are (2,2) and (6,5). Subtract both Y's and X's and then square the answers and add. you should get 25, which has a square root of 5.
A tank is full of water. Find the work (in ft-lb) required to pump the water out of the spout. Use the fact that water weighs 62.5 lb/ft3. (Round your answer to the nearest whole number.) 3 ft6 ft12 ft A frustum of a cone with a spout is given. The smaller radius is 3 ft, the larger radius is 6 ft, and the height is 12 ft.
Answers
The work required to pump the water out of the spout is approximately 64,307,077 ft-lb
To find the work required to pump the water out of the spout, we need to calculate the weight of the water in the tank and then convert it to work using the formula: work = force × distance.
First, let's calculate the volume of water in the tank. The frustum of a cone can be represented by the formula: V = (1/3)πh(r1² + r2² + r1r2), where r1 and r2 are the radii of the two bases and h is the height.
Given r1 = 3 ft, r2 = 6 ft, and h = 12 ft, we can calculate the volume:
V = (1/3)π(12)(9 + 36 + 18) = 270π ft³
Now, we can calculate the weight of the water using the density of water:
Weight = density × volume = 62.5 lb/ft³ × 270π ft³ ≈ 53125π lb
Next, we convert the weight to force by multiplying it by the acceleration due to gravity (32.2 ft/s²):
Force = Weight × acceleration due to gravity = 53125π lb × 32.2 ft/s² ≈ 1709125π lb·ft/s²
Finally, we can calculate the work by multiplying the force by the distance. Since the water is being pumped out of the spout, the distance is equal to the height of the frustum, which is 12 ft:
Work = Force × distance = 1709125π lb·ft/s² × 12 ft ≈ 20509500π lb·ft ≈ 64307077 lb·ft
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Find the compound interest earned by the deposit. Round to the nearest cent.
1) $3000 at 5% compounded semiannually for 6 years
2) $700 at 8% compounded quarterly for 5 years
Answers
The compound interest earned by the deposits are as follows:
$1,034.67$340.16How to find compound interest?Compound interest is the interest calculated on the principal and the interest accumulated over the previous period.
The formula for compound interest can be represented as follows:
\(A = p(1+\frac{r}{n} )^{nt}\)
where
A = amountr = raten = number of timet = timep = principalHence,
1. $3000 at 5% compounded semi-annually for 6 years.
r = 5%
p = 3000
n = 2
t = 6
\(A = 3000(1 + \frac{0.05}{2} )^{2(6)}\)
A = 3,000.00(1 + 0.025)¹²
A = $4,034.67
Principal = $3,000.00
Interest = $4,034.67 - $3000 = $1,034.67
2.
$700 at 8% compounded quarterly for 5 years
r = 8%
p = 700
n = 4
t = 5
\(A = 700(1 + \frac{0.08}{4} )^{4(5)}\)
A = 700(1 + 0.02)²⁰
A = $1,040.16
Principal = $700
Interest = $1,040.16 - $700 = $340.16
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Identify the correct graph of the system of equations.
3x + y = 12
x + 4y = 4
Answers
Let's solve the system of equations:
1. 3x + y = 12
2. x + 4y = 4
We can solve this system of equations using various methods such as substitution or elimination. Let's use the elimination method here:
Multiply equation 1 by 4 and equation 2 by 1 to eliminate the y term:
1. 12x + 4y = 48
2. x + 4y = 4
Now, subtract equation 2 from equation 1:
12x + 4y - (x + 4y) = 48 - 4
Simplifying:
11x = 44
Divide both sides by 11:
x = 4
Substitute the value of x into equation 2 to solve for y:
4 + 4y = 4
4y = 4 - 4
4y = 0
y = 0
Therefore, the solution to the system of equations is x = 4 and y = 0.
The correct graph of this system of equations would be two lines intersecting at the point (4, 0) on the coordinate plane.
Which expression can be used to determine the slope of the linear function graphed below? On a coordinate plane, a line goes through points (0, negative 4) and (2, 0). StartFraction negative 4 minus 0 Over 2 minus 0 EndFraction StartFraction negative 4 minus 0 Over 0 minus 2 EndFraction StartFraction 0 minus 2 Over negative 4 minus 0 EndFraction StartFraction 2 minus 0 Over negative 4 minus 0 EndFraction
Answers
Answer:
B
Step-by-step explanation:
on edge :)
Answer:
b
Step-by-step explanation:
3 4/5 • 3 1/2 divide reduce to the lowest term
Answers
Answer:
133/10
Step-by-step explanation:
first turn into proper fraction
19/5 * 7/2 = 133/10
using the line of best fit
Answers
The monthly cell phone bill when shared data equals zero is given as follows:
$26.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.The intercept of the line in this problem is given as follows:
b = 26.
Hence $26 is the monthly cell phone bill when shared data equals zero.
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What is 5.23 divided by 9
Answers
Answer:
\(\frac{5.23}{9} = 0.581111\)
Step-by-step explanation:
5.23 / 9 = 0.5811111
Raina received a $90 gift card for a coffee store. She used it in buying some coffee that's cost $7.38 per pound. After buying the coffee, she had $53.10 left on her card. How many pounds of coffee did she buy?
Answers
Answer:
5 lbs
Step-by-step explanation:
90 - 53.10 = 36.90
She spent $36.90 on coffee. Since it cost $7.38 per pound, we can divide the total cost by 7.38 to figure out how many pounds she bought:
36.90 / 7.38 = 5
Raina bought 5 pounds of coffee.
Please look at the photo! Thank you.
Answers
The output value of (g/f)(x) is 9x/(7x + 28).
The domain of g/f is (-∞, -4) U (-4, ∞)..
How to determine the corresponding composite function?In this exercise, we would determine the corresponding composite function of f(x) and g(x) under the given mathematical operations in simplified form as follows;
(g/f)(x) = (9/(x + 4)) ÷ 7/x
By rearranging the mathematical expression using the multiplication operation, we have the following:
(g/f)(x) = (9/(x + 4)) × x/7
(g/f)(x) = 9x/(7x + 28)
For the restrictions on the domain, we would have to equate the denominator of the rational function to zero and then evaluate as follows;
7x + 28 ≠ 0
7x ≠ -28
x ≠ -4
Domain = (-∞, -4) U (-4, ∞).
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is this proportional??????????
Answers
YES
EXPLANATION:……
Answer:
Yes this graph is proportional.
Step-by-step explanation:
Any line graph that is completely straight is proportional.
More in depth, the value "2" on the X axis is equal to 10 on the Y axis. The "0" is equal to 0. So, obviously, the 1 should hypothetically equal 5. Which from reading the graph, we can tell is true.
Are the following triangles similar by the angle-
angle similarity theorem?
A.No, the triangles don't have three angles.
B.Yes, one of the triangles is smaller than
the other.
C.Yes, two pairs of congruent angles are
marked.
D.No, the triangles don't share two pairs of
congruent angles.
Answers
Answer:
D. No, the triangles don't share two pairs of congruent angles.
Step-by-step explanation:
Two triangles can only be proven similar from the AA (Angle-Angle) similarity theorem if it can be deduced that they share two congruent angles.
In this case, both triangles share one angle, however no other angles can be deduced to be congruent. Therefore, the triangles cannot be proven similar from the AA similarity theorem because they do not share two pairs of congruent angles (corresponds with answer choice D).
Answer:
D.No, the triangles don't share two pairs of congruent angles.
Step-by-step explanation:
We know that angle M equals angle H and that angle I equals the unmarked angle.
We do not know that angle N equals angle O so we cannot state that the triangles are similar
Can someone help me with this? Please and thank you
Answers
Consider a line passing through the following points:
\((x_1,y_1)\text{ and }(x_2,y_2)\)Than the its slope a and its intercept b can be expressed as:
\(\begin{gathered} a=\frac{y_2-y_1}{x_2-x_1} \\ b=y_1-ax_1=y_2-ax_2 \end{gathered}\)Then, for a line passing through the points (-2,-4) and (3,1), its slope and intercept are given by:
\(\begin{gathered} a=\frac{1-(-4)}{3-(-2)}=\frac{5}{5}=1 \\ b=-4-(-2)=1-3=-2 \end{gathered}\)Therefore, the equation for this line in the slope-intercept form is given by:
\(y=x-2\)Now, we must rewrite equations A, B, C and D in the slope-intercept form and check whose are correct:
\(\begin{gathered} A) \\ y+4=x+2 \\ y+4-4=x+2-4 \\ y=x-2 \\ \text{Correct} \\ B) \\ y-1=x-3 \\ y-1+1=x-3+1 \\ y=x-2 \\ \text{Correct} \\ C) \\ y=-x-2 \\ \text{Wrong} \\ D) \\ y=x-2 \\ \text{Correct} \end{gathered}\)Answer: A, B and D
2x-3\(\geq\) 0
Answers
Answer:
x ≥ 1.5
Step-by-step explanation:
2x - 3 ≥ 0 ( add 3 to both sides )
2x ≥ 3 ( divide both sides by 2 )
x ≥ 1.5
Find the slope of the line that passes through all of the points
on the table.
X
2
7
12
17
y
2
-3
-8
-13
Only need the answer
Answers
Answer:
Step-by-step explanation:
so first you need to find the slope
you can draw the line on a graph and use a protractor
final answer=46 degrees
Answer:-5/-19
the answer is -5/-19 and can not be simplify
helpppppppppppppppp meeeeeeeeeeeeeeeeeeeee
Answers
Answer:
given below
Step-by-step explanation:
slope : 1/3
y intercept : -5
4x-5 2x+7 Find the value of x
answers should be from
27
37
47
57
Answers
4x - 5 = 2x + 7
First, let's simplify the equation by combining like terms:
4x - 2x = 7 + 5
2x = 12
Next, divide both sides of the equation by 2 to solve for x:
x = 12 / 2
x = 6
Therefore, the value of x that satisfies the equation is 6. None of the provided answer options (27, 37, 47, 57) are equal to 6.
Convert from point slope form to slope intercept form.
Slope U/D, (5,0)
Please help me!!!!!!!
Answers
Answer:
x = 5
Step-by-step explanation:
assuming you mean the slope of the line id undefined and passes through (5, 0 )
A line with an undefined slope is a vertical line parallel to the y- axis with equation
x = c ( c is the value of the x- coordinates the line passes through )
the line passes through (5, 0 ) with x- coordinate 5 , then
x = 5 ← equation of line
When traveling with the current, it takes Kamal 1 hour to travel 12 miles on a boat. It takes the boat 1.5 hours to travel the same 12 miles when traveling against the current. Assuming the boat travels at a constant speed during both trips, what is the speed of the boat and the speed of the current?
Answers
Answer:
the rate / speed of the boat is 10 miles per hour.
the rate / speed of the current is 2 miles per hour.
Step-by-step explanation:
r = rate of boat (speed of boat)
t = time
d = distance.
c = rate of current (speed of current)
with the current, the formula becomes (r + c) * t = d
against the current, the formula becomes (r - c) * t = d
going with the current, the boat takes 1 hour to travel 12 miles.
therefore:
(r + c) * t = d becomes (r + c) * 1 = 12
going against the current, the boat takes 1.5 hour to travel the same 12 miles.
therefore:
(r - c) * t = d becomes (r - c) * 1.5 = 12.
your two equations that need to be solved simultancously are:
(r + c) * 1 = 12
(r - c) * 1.5 = 12
divide both sides of the second equation by 1.5 and leave the first equaion as is to get:
r + c = 12
r - c = 8
add the equations together to get:
2 * r = 20
solve for r to get:
r = 20 / 2 = 10
(r + c) * 1 = 12 becomes (10 + c) * 1 = 12
simplify to get 10 + c = 12
solve for c to get c = 12 - 10 = 2
(r - c) * 1 = 8 becomes (10 - c) * 1 = 8
simplify to get 10 - c = 8
solve for c to get c = 10 - 8 = 2
you have:
r = 10
c = 2
that's your solution.
the rate / speed of the boat is 10 miles per hour.
the rate / speed of the current is 2 miles per hour.