Answer:
The total cost of to re-decorate the community hall is £2172.
Step-by-step explanation:
We have been given that a community hall is in the shape of a cuboid. The hall is 40m long 15m wide and 3m high.
The paint will be required for 4 walls and ceiling.
Let us find area of walls and ceiling.
Are of Walls and Ceiling = [tex]2(l+b)h+lb=2(40+15)3+(40\times15)= 6\times55+600= 330+600 =930m^2[/tex]
Therefore, the area of walls and ceiling is 930 square meters.
Given: Cost for 10 litre of paint is £10 and 10 litre paint covers 25 square meter. Therefore,
Total Painting cost = [tex]10 \times \frac{930}{25} = \£372[/tex]
Therefore, the total painting cost of wall is £372.
Tiles will be required for floor. Let us find the area of floor.
Area of floor = [tex]l \times b = 40\times15 =600m^2[/tex]
Given: 1m squared floor tiles costs £3. So,
Total Cost for tiles = [tex]3\times600= \£1800[/tex]
Therefore, the total cost for tiles is £1800.
Now let us find total cost of to re-decorate the community hall;
Total Cost = the total painting cost of wall + the total cost for tiles = [tex]\£1800+\£372= \£2172[/tex]
Hence, the total cost of to re-decorate the community hall £2172.
To redecorate the community hall, the cost for tiling the floor will be £4500, and the cost for painting will depend on the price per tin, with a total of 93 tins needed to cover 930m².
Explanation:To calculate the total cost of re-decorating the community hall, we need to find the areas that need painting and tiling. Since the hall is a cuboid, the paintable area includes the four walls and the ceiling. The floor requires tiling.
The combined area of the four walls can be found by calculating the perimeter of the base, which is the sum of all sides ((2 × length) + (2 × width)), and then multiplying by the height. The ceiling is simply the length multiplied by the width.
Here is how to calculate the areas and costs:
Therefore, the cost for tiling the floor will be £4500, and the cost for painting will be 93 tins (if each tin is assumed to cost a certain amount, which is not specified in the question).
Solve:
919÷ 2
Round to the nearest whole
Answer:
460
Step-by-step explanation:
919 ÷2 = 459.5 so you have to round to the nearest hole so when its 5 or more you round up to the nearest whole and when its 4 or less you round down so your answer is 460
Solve the inequality for u.
-18>-38-5u
Simplify your answer as much as possible.
Answer:
Solve the inequality for u.
-18>-38-5u
Simplify your answer as much as possible.
Step-by-step explanation:
Derrick's Dog Sitting and Darlene's Dog Sitting are competing for new business. Derrick's Dog Sitting charges $10 plus $5 per hour. Darlene's Dog Sitting charges $16 plus $3 per hour.
35 31
Part 1 out of 2
Complete and solve the equation that can be solved to find the number of hours for which the total cost will be the same for the two services. In your equation, use x to represent the number of hours of dog sitting.
The equation is .
The total cost will be the same for the two services at hours.
Answer:
equation is:
5x + 10 = 3x + 16
To find when the total will be same, solve the equation
2x = 6
x = 3
Answer:
Derrick's (10+5x)
Darlene's (16+3x)
for part two:
Derrick worked 6 hours
and darlene worked 8 hours
i think
Step-by-step explanation:
Charlie reads fast. He reads 1 2/7 pages every 2/3 minute at a contact rate. How many minute does he read per page
Answer:
1 page per 14/27 minute
Step-by-step explanation:
9/7 page / 2/3 min =
1 page / 2/3 * 7/9 min =
1 page / 14/27 min
Which property is used in the following expression? 3(6+5)=18+15
A.associative property of multiplication
B.commutative property of addition
C.associative property of addition
D.distributive
Justin's plant shop has 12 shelves. Each shelf holds 18plants. use properties of operations to find the number of plants the shelves can hold.
The total number of plants Justin's plant shop can hold is determined by multiplying the number of shelves by the number of plants each shelf can hold. This results in a total of 216 plants.
Explanation:We can use the properties of operations to solve this problem, specifically the multiplication operation. In this case, Justin's plant shop has 12 shelves and each shelf holds 18 plants. So, to find the total number of plants the shelves can hold, we multiply the number of shelves by the number of plants each shelf can hold. This is called multiplication, which is one of the fundamental properties of operations in mathematics.
Here's the calculation: 12 shelves * 18 plants = 216 plants.
So, Justin's plant shop can hold a total of 216 plants given the current shelf setup.
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Wendell just got a new iPod and wants to download music. He finds two different sites for downloading music. The first one is itoons and the cost is $1 per song. The second one is song-R-Us.com and has a$5 monthly fee and cost of 0.50 per song. What is the equation for both music apps
Answer:
Ci = x
Cs = 5 + 0.5x
Step-by-step explanation:
The site itoons costs $1 per song with no montly fee, so the cost can be expressed as
Ci = 1.x = x
Where x is the number of songs Wendell will download
The site song-R-Us.com charges $5 a month and $0.5 per song. The equation of the cost is
Cs = 5 + 0.5x
During last night's football game, the running back lost 3 yards, then gained 12 yards before finally being pushed back 2 more yards.
Part A: What is the number sentence?
Part B: Rewrite it as an addition equation.
Part A: The number sentence is -3 + 12 - 2. Part B: The addition equation is 9 = -3 + 12 - 2.
Part A: To find the total yardage gained or lost by the running back, we need to add together each of the individual yardage changes. The running back first lost 3 yards, then gained 12 yards, and finally was pushed back 2 yards. The number sentence that represents this sequence of events is:
-3 (loss of 3 yards) + 12 (gain of 12 yards) - 2 (loss of 2 yards).
Part B: To rewrite this as an addition equation, we need to make sure that the total change in yardage is on one side of the equation, and the individual changes are on the other side, all connected by addition. We can do this by adding the losses as negative numbers to the gains. The total yardage gained or lost is the sum of these individual changes:
-3 + 12 + (-2).
Now, we calculate the sum:
-3 + 12 = 9,
9 + (-2) = 7.
So, the addition equation that represents the total yardage is:
7 = -3 + 12 - 2.
Simplify the expression 7(9+2)
Answer: 77
Step-by-step explanation: Based on the order of operations or PEMDAS, parentheses are always done first.
So our first step in this problem is to simplify (9 + 2) to get 11.
So we now have (7) (11) which is 77.
PLEASE HELP ASAP 9TH GRADE MATH AND I NEED HELP, 15 POINTS AND BRAINLIST HELPPPP
Answer:
x = 40°
Step-by-step explanation:
Given that ∠SRT ≅ ∠STR
Then ∠STR = 20
∠STR and ∠STU are what you call supplementary angles. This means that the sum of their measurements is equal to 180° because they form a straight line.
So if:
∠STR + ∠STU = 180°
m∠STU = 4x
m∠STR = 20
Then:
4x + 20° = 180°
Now we solve for x:
[tex]4x + 20 = 180\\\\Subtract\;20\;from\;both\;sides\;of\;the\;equation\\\\4x + 20 - 20 = 180 - 20\\4x = 160\\\\Divide\;both\;sides\;of\;the\;equation\;by\;4\\\\\dfrac{4x}{4}=\dfrac{160}{4}\\\\x = 40[/tex]
x = 40°
. The 6 fourth-grade classes at
West Elementary donated a total of
$1,792 to restore a wildlife habitat.
Write and solve an equation that
shows one way to estimate the amount
donated by each class.
Answer:
Each class donated $300
Step-by-step explanation:
1,792 has to be rounded to 1,800, because the answer is estimated, so 1,800 divided by 6 is 300
This might be wrong, but if not yw lol
What is the answer ?
Answer:
642
Step-by-step explanation:
639 -127 = x -130
x = 639 -127 +130 = 639 +3 = 642
Answer:
642
Step-by-step explanation:
use inverse operations
first find the difference of 639 and 127 to get 512
then using inverse operations add 512 to 130 to get 642
check by subtracting 642 by 130 to get 512
A 6000-seat theater has tickets for sale at $28 and $40. How many tickets should be sold at each price for a sellout show to generate a total revenue 194400
The number of tickets for sale at $28 should be
The number of tickets for sale at $40 should be
Answer:
3,833 for $28
2167 for $40
Step-by-step explanation:
Let X be the number of tickets sold at the price of $24, And Y be the number of tickets sold at the price of $40.
Now, $ 28X will be the revenue generated due to the $28 tickets
And, $40Y will be the revenue generated due to the 40$ tickets.
Now, Total revenue generated should be $194400.
Thus , 28X + 40Y = 194400 -(1).
Also,
Total number of seats in theater is 6000.
So, X + Y = 6000. -(2)
X = 6000 - Y.
Put in equation 1
We get , 168,000 - 28Y + 40Y = 194,400
12Y = 26,000
Y = 2,166.66
Since , Y is of 40 $ so minimum tickets sold should be 2167.
X = 3,833.
Final answer:
To generate a total revenue of $194,400 in a 6000-seat theater with tickets at $28 and $40, 3800 tickets should be sold at $28 and 2200 tickets should be sold at $40. This was solved using a system of linear equations.
Explanation:
To solve how many tickets should be sold at each price for a sellout show to generate a total revenue of $194,400 in a 6000-seat theater with ticket prices at $28 and $40, we can set up a system of linear equations. Let's denote the number of $28 tickets as x and the number of $40 tickets as y.
The first equation comes from the total number of seats:
x + y = 6000
The second equation comes from the total revenue:
28x + 40y = 194400
To solve the system, we can multiply the first equation by 28 to eliminate the x variable:
28x + 28y = 168000
Subtract this from the second revenue equation:
(28x + 40y)-(28x + 28y) = 194400-168000
12y = 26400
Dividing both sides by 12 gives us:
y = 2200
We can then substitute y back into the first equation:
x + 2200 = 6000
Solving for x gives us:
x = 3800
Thus, 3800 tickets should be sold at $28 and 2200 tickets should be sold at $40 for a sellout show to generate a total revenue of $194,400.
A family drives
4
1
2
miles in
1
10
of an hour. What is their rate of speed in miles per hour?
Answer:
3.75 miles per hour
Step-by-step explanation:
speed = distance/time
=412/110
=3.75 miles per hour
Mr.Mole left his burrow and started digging his way down at a constant rate
Answer:
Mr. Mole is descending by 2.4 meters per minute
Step-by-step explanation:
Let
x ----> the time in minutes
y ---> the distance in meters
we know that
In this problem the rate of change or slope is the same that the speed
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
take two points from the table
(5,-18) and (8,-25.2)
substitute the values in the formula
[tex]m=\frac{-25.2+18}{8-5}[/tex]
[tex]m=-2.4\ meters\ per\ minute[/tex] ---> is negative because is descending
What the solution to this: what is 186×21=8(x+x)?
Answer:
x = 244.125
Step-by-step explanation:
186 · 21 = 8(x + x) (Given)
3906 = 8(2x) (Simplify)
3906 = 16x (Simplify)
[tex]\frac{3906}{16} = \frac{16x}{16}[/tex] (Division Property of Equality)
244.125 = x (simplify)
x = 244.125 (Symmetric Property of Equality)
Answer:
[tex]\frac{1953}{8}[/tex]
I hope this helps!
5d-8=1+5d solve the equation. Determine whether the equation has one solution, no solution, or infinetly many solutions.
Answer:
no solution
Step-by-step explanation:
5d - 8 = 1 + 5d
Add 9 to both sides
5d = 9 + 5d
Subtract 5d
0 does not equal 9
No solutions
The given equation has no solution.
The given equation is 5d-8=1+5d.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Here,
5d - 8 = 1 + 5d
⇒ 5d-5d=1+9
⇒ 0≠9
Therefore, the given equation has no solution.
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Find the 8th term in the
sequence
- 1 / -1, -2, -4,...
Answer:
The 8th term in the sequence is -128
Step-by-step explanation:
The given series is a geometric progression (G.P) with the starting term as -1.
Let the starting term be a and the common ratio be r.
a = -1
r = 2
The formula for the nth term of a geometric progression (G.P) :
[tex]nth\:term=ar^{n-1}[/tex]
n = 8
[tex]The\:8th\:term=ar^{7}=(-1)\times2^{7}=-128[/tex]
Therefore, the 8th term in the sequence is -128
Tickets for a train cost $22 for adults and $10 for children. Josie paid $1,200 for a total of 72 tickets. How many adult tickets and how many child tickets did Josie buy?
Answer:
Josie bought 40 adult tickets and 32 children tickets.
Step-by-step explanation:
x+y=72
22x+10y=1200
-----------------------
x=72-y
22(72-y)+10y=1200
1584-22y+10y=1200
1584-12y=1200
12y=1584-1200
12y=384
y=384/12=32
x+32=72
x=72-32=40
x=40, y=32. (40, 32)
What’s the answer to the top question and steps how to solve?
Answer:
-3.69
Step-by-step explanation:
Exponential equations can be solved by taking Ln (natural logarithm) of both sides. The rule we need to know is:
[tex]Ln(a^b)=bLn(a)[/tex]
Now lets work out this problem:
[tex]16^{2x+3}=13^{x-1}\\Ln(16^{2x+3})=Ln(13^{x-1})\\(2x+3)Ln(16)=(x-1)Ln(13)[/tex]
Using calculator, we take the values of Ln 16 and Ln 13 as:
Ln 16 = 2.7726
Ln 13 = 2.5649
Now, we can solve for x:
[tex](2x+3)Ln(16)=(x-1)Ln(13)\\(2x+3)2.7726=(x-1)2.5649\\5.5452x+8.3178=2.5649x-2.5649\\2.9803x=-10.8827\\x=-3.69[/tex]
x is -3.69 (rounded to 2 decimal places)
in kite PODS, m<o=119 and m<s=71 what is m<p?
Answer:
∠P = 85°
Step-by-step explanation:
The sum of the interior angles of a kite = 360°, thus
∠P + ∠D + 119 + 71 = 360, that is
∠P + ∠D + 190 = 360 ( subtract 190 from both sides )
∠P + ∠D = 170°
The opposite angles P and D are congruent, thus
∠P = [tex]\frac{170}{2}[/tex] = 85°
The first four terms of a sequence are shown.
16, 48, 144, 432, ...
What is the explicit function, f(n), that defines the sequence? Explain how you determined your
answer. Write your answer in the space provided.
The explicit function is f(n) = 3f(n - 1)
Solution:Given, sequence is 16, 48, 144, 432 ….
We have to find the explicit function.
Now, if we observe the given sequence, every term is three times its previous term.
That is, the next term in sequence is obtained by multiplying the previous term by 3
48 = 16 x 3
144 = 48 x 3
432 = 144 x 3
So, explicit function f(n) will be
nth term = 3 x (n – 1)th term
F(n) = 3 x f(n – 1) [ since nth term is f(n) ]
We derived the above function just by generalizing the sequence and making it into the function.
The nth term is obtained by multiplying the n - 1 term with 3
Hence explicit function is f(n) = 3f(n - 1)
The price of a laptop is increased by 15%.The old price of the laptop was £300.Work out the new price
Answer: 345
Step-by-step explanation:
15% + 100% = 115%
100%.......300£
115%..........x£
x = 115*300/100
x= 345
Final answer:
To find the new price of the laptop after a 15% increase, add the 15% increase to the old price of £300 to get £345.
Explanation:
The new price of the laptop is £345.
Calculate the 15% increase of the old price: £300 x 15% = £45.Add the increase to the old price to find the new price: £300 + £45 = £345.x² + 3x -4=0
solve by factoring
Answer:
X=1 and -4
hope this helps you!
(p.s please mark me as brainlyest)
Step-by-step explanation:
tell me if you want/need the explanation why and I'll gladly give it to you.
3. 78.34 m =
mm
A 78,340
B 7,834
C 0.07834
D 783,400
How many 5ps are equals in value to twenty five 2ps
Answer:
Step-by-step explanation:
5x5=25 so if u do 2x = it'll be 2x12=24 so thats the closetest thing u could do or i know hope it helps
Simplify 5 x times the fraction 1 over x to the power of negative 7 times x to the power of negative 2. 5x 5x−6 5 5x6
Answer:
[tex]5x^6[/tex]Explanation:
The expression that you want to simplify is:
[tex]5x\times \frac{1}{x^{-7}}\times x^{-2[/tex]This is the simplification step-by-step:
1. Mulitply the expressions on the numerator among them and the expressions on the denominator among them:
[tex]5x\times \frac{1}{x^{-7}}\times x^{-2}=\frac{5x\cdot x^{-2}}{x^{-7}}[/tex]
2. For equal bases that are multiplying, add the exponents:
[tex]\frac{5x\cdot x^{-2}}{x^{-7}}=\frac{5x^{1-2}}{x^{-7}}=\frac{5x^{-1}}{x^{-7}}[/tex]
3. Pass the power on the denominator to the numerator by changing its sign (negative exponents become positive when inverted)
[tex]\frac{5x^{-1}}{x^{-7}}=5x^{-1}x^{7}[/tex]
4. Simplify adding the exponents with the same base:
[tex]5x^{-1}x^{7}=5x^{-1+7}=5x^6[/tex]
And that is the final expression in its most simple form.
Use rounding to estimate the difference of 18.14 - 9.88.
Answer:
i think it would go up to 10 im pretty sure at least :) lmk if its correct
Step-by-step explanation:
We can round both numbers. Remember (4 and below, round down.) and (5 and higher, round up.)
18.14 = 18
9.88 = 10
Now, we can subtract.
18 - 10 = 8
Hence, the estimated difference is 8.
______
Best Regards,
Wolfyy :)
PLEASE HELP ASAP
A circle is centered at the point (-3, 2) and passes through the point (1,5). The radius of the circle is (blank) units. The point (-7 (blank) lies on this circle
Answer:
5 units
Step-by-step explanation:
The radius is the distance from the centre of the circle to a point on the circumference.
Use the distance formula to calculate the radius r
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (1, 5)
r = [tex]\sqrt{(1+3)^2+(5-2)^2}[/tex]
= [tex]\sqrt{4^2+3^2}[/tex]
= [tex]\sqrt{16+9}[/tex]
= [tex]\sqrt{25}[/tex] = 5
117 Divided by 3 and equal groups
When dividing 117 into equal groups of 3, we find that there are 39 groups, and each group contains 3 items. This calculation involves finding the quotient of the division, which tells us how many groups of 3 can be formed with a total of 117 items.
When dividing 117 into equal groups of 3, we are essentially finding how many groups of 3 can be formed with a total of 117 items. This can be visualized as distributing 117 items equally into 3 groups.
Step 1: Perform the division:
117 ÷ 3 = 39
Step 2: Interpret the result:
The quotient 39 represents the number of equal groups of 3 that can be formed using 117 items. Each group will have 3 items.
Step 3: Final answer:
117 can be divided into 3 equal groups, and each group will have 39 items.
In summary, when dividing 117 into equal groups of 3, we find that there are 39 groups, and each group contains 3 items. This calculation involves finding the quotient of the division, which tells us how many groups of 3 can be formed with a total of 117 items.
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