The total surface area of an open cylinder can be used to determine the surface area required. This answer can now be used to determine the kilograms of paint needed which is 1.245 Kg.
The formula to determine the total surface area of an open cylinder is given as:
2[tex]\pi r^{2}[/tex] + [tex]\pi r[/tex]h =
where: r is the radius, and h is the height of the cylinder.
The radius of the cylinder is 30 cm (0.3 m), and its height is 28 cm (0.28 m). Then the total surface area can be calculated as follows:
Total surface area of one cylinder = [tex]\frac{22}{7}[/tex] x 0.3*(2*0.3 + 0.28)
= 0.8297
The total surface area of one of the cylinders is 0.83 [tex]m^{2}[/tex].
Total surface area of the ten cylinders = 10 x 0.83
= 8.3 [tex]m^{2}[/tex]
Given that 150 g of paint would be required to paint an area of 1 [tex]m^{2}[/tex], the amount of paint (x) required for the ten cylinders would be:
x = 8.3 x 150 g
= 1245 g
x = [tex]\frac{1245}{1000}[/tex]
= 1.245 Kg
Therefore, the amount of paint required for the ten cylinders is 1.245 Kg.
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A squirrel burrowed 10 holes in 8 minutes. How many holes could the squirrel burrow in 12 minutes?
Answer:
15
Step-by-step explanation:
Fast and loose: To go from 8 to 12 minutes you're adding half the time (4 minutes). So it has time to burrow only half the holes in the extra time, so 5. Total, 10+5=15.
Crunching numbers: it's a simple proportion:[tex]10:8 = x :12[/tex] from which, cross-multiplying you get [tex]8x=12\times10 \rightarrow 8x=120 \rightarrow x=15[/tex]
Factorise 2x^2-9x-5 By Splitting The Middle Term.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The required expression is ~
[tex] \boxed{(2x + 1)(x - 5)}[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
let's solve ~
[tex]2 {x}^{2} - 9x - 5[/tex][tex]2 {x}^{2} - 10x + x - 5[/tex][tex]2x(x - 5) + 1(x - 5)[/tex][tex](2x + 1)(x - 5)[/tex]what is the awnser to B
Using the concept of probability, the probability of rolling 2 sixes would be 1/25
From the tree diagram given :
P(6) = 1/5The probability of rolling 2 sixes can be defined thus :
P(2 6's) = P(6) × P(6)Hence,
P(2 6's) = 1/5 × 1/5 = 1/25
Hence, the probability of rolling 2 sixes is 1/25.
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Aby has a cell phone plan that charges $12 a month for the first 50 minutes and 5 cents for every minute after that. If she was charged $15.45 last month, how many minutes did she talk?
60
Step-by-step explanation:
In a square of side length s, what is the length of a diagonal?
Answer:
[tex]s\sqrt{2}[/tex]
Step-by-step explanation:
This would be the diagonal because the formula for diagonals in a square would be [tex]a\sqrt{2}[/tex], where a is the side length.
Help please :) I’m quite stuck on this one
Answer:
-4-4i
That's the answer for the question
What is the slope of this line?
•5
•1/5
•-5
•-1/5
quick please
What’s the remainder of 3,231 / 7
How to solve this? :)
Step-by-step explanation:
by understanding how a number actually works.
when I write e.g. the number 2648, what did I actually tell you ?
that there is a value or quantity that is
8×10⁰ + 4×10¹ + 6×10² + 2×10³
every number you or anybody else has ever written represented this type of information.
so, now we have a 2-digit number : xy
its value is : y×10⁰ + x×10¹
and because 10⁰ = 1 and 10¹ = 10, this is simply
x×10 + y or 10x + y
the description tells us that
|x - y| = 2
and that xy + yx = 132
that means
10x + y + 10y + x = 132
11x + 11y = 132
we can divide by 11 and get
x + y = 12
like 8+4 or 9+3.
and we know the difference between x and y is 2
like 6 and 4, or 1 and 3.
normally we should know the solution already (I do), but let's finish it formally.
we use one scenario of the absolute value equation :
x - y = 2
x = y + 2
and we use this in the second equation :
y + 2 + y = 12
2y + 2 = 12
2y = 10
y = 5
x = y + 2 = 5 + 2 = 7
the same, just with reversed positions, is the result when using
y - x = 2
so, we get actually 2 solutions that fulfill the requirement : 75 and 57, as they are both also the reverse number to the other.
Write the following statement in the form of equation.
1) One third of a number plus 7 is 26
A recipe for trail mix says: “Mix 7 ounces of almonds with 5 ounces of raisins.” How many batches would there be if you have 250 ounces of raisins?
Answer:
20.8333333333
Step-by-step explanation:
7 + 5 = 12. 250 divided by 12 equals 20.8333333333 or 20.833... You will have more than 20 and a half batches but you can just say about 21, however needed.
7x-15y=2 , x+2y=3 By subtition method
Answer:
([tex]\frac{49}{29},\frac{19}{29}[/tex])
Explanation:
7x - 15y = 2 (1)
x + 2y = 3 (2)
x + 2y = 3
x + 2y - 2y = 3 - 2y
x = 3 - 2y (3)
Substitute (3) to (1)
7x - 15y = 2
7(3 - 2y) - 15y = 2
21 - 14y -15y = 2
21 - 21 - 29y = 2 - 21
-29y = -19
y = [tex]\frac{19}{29}[/tex] (4)
Plug (4) into (2)
x + 2y = 3
x + 2[tex]\frac{19}{29}[/tex] = 3
x + [tex]\frac{38}{29}[/tex] = 3
x = 3 - [tex]\frac{38}{29}[/tex]
[tex]x = \frac{87}{29}-\frac{38}{29} =\frac{49}{29}[/tex]
([tex]\frac{49}{29},\frac{19}{29}[/tex])
Where are the factors? The number of terms? Where are the constants? Where are the confficients
3x-5y+15
Answer:
given the expression 4x - 2y + z + 5 we see three terms of the expression: 4x, -2y, +z , 5.
Terms are made of two things, a coefficient and a variable.
coefficient variable
4 x
-2 y
+1 z
+5 no variable exists in this term so it is a special term called a constant.
Coefficients can be +/-, fractions, decimals, whole numbers, etc.
In equations the coefficient is often shown as a letter such as
ax + by + 3.
This means (a times x) plus (b times y) plus 3
fractional coefficients looks like this example: x/4 + y/2 - z/3
the coefficient for x is 1/4, the coefficient for y is 1/2 and the coefficient for z is -1/3Step-by-step explanation:
I run 960 hm and my friend run 960 dam. How many km do we run in total?
Answer:
105.6 km
Step-by-step explanation:
Use: King Henery Doesn't Usually drink chocolate milk
K in king stands for kelo
H in Henery stands for hecto
D in Doesn't stands for deka
U in Usually stands for Meters, Liters, and Grams
d in drink stands for Deci
c in chocolate stands for Centi
And m in milk stands for milli
Kayla is serving vegetables at a soup kitchen. She has 18 carrot sticks and 12 baby potatoes that she
wants to divide evenly, with no food left over. What is the greatest number of plates Kayla can
prepare?
A:18
B:12
C:6
D:3
Answer:
C:6
Step-by-step explanation:
help me please and thank you !
Answer:
I hope this helps.
Please help with this
Answer:
x = 27
Step-by-step explanation:
∠AB is 180° as it is a straight line. Then, we have 3 angles here, 2 known and 1 unknown. These angles have to add up to 180° as they just divide ∠AB into 3 sections. Solve for x with the given information:
[tex]36+90+2x=180\\126+2x=180\\2x=54\\x=27[/tex]
Answer:
x = 27
Step-by-step explanation:
Which equations are true equations?
Select all correct answers.
54 ÷ 6 + 3² = 4 + 4²
8042=10−22−1
62−22=4+7⋅22
19−2⋅5=9⋅73−9
Answer:
B and C
Step-by-step explanation:
Took the test and 80/4^2 = 10 - 2^2 - 1 and 6^2−2^2=4+7⋅2^2 are the answers. Hope this helps :D
None of the equations is true.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
The first equation is 54 ÷6 + 3² =4 + 4².
Simplify the equation:
54 ÷6 + 3² =4 + 4²
9 + 9 = 4 + 16
18 = 20
The left side and the right side of the equation are not equal, hence the first equation is not true.
Simplify the second equation:
8042 = 10-22-1
8042 = -13
The second equation is also false.
Simplify the third equation:
62−22=4+7⋅22
40 = -11
The third equation is also false.
Simplify the fourth equation:
19−2⋅5=9⋅73−9
16.5 = 0.73
The fourth equation is also false.
Hence, none of the equations is true.
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Ryan and his brother Will went to the store to buy a new baseball bat. The baseball bat costs $97.99. Ryan had saved enough money to pay 38% of the cost of the bat. How much money did Ryan have to help pay for the bat?
Answer my question for 10 points
Answer:
Hello! The answer is $37.24.
Step-by-step explanation:
By simple calculations, 38% of $97.99 equates to $37.2362. However, since this is a money-based question, we have to round the last two numbers up - which basically equals $37.24!
Answer:
Ryan had $37.24
Step-by-step explanation:
Please help ‐19 ‐ 7( ‐17z + 13)
Answer: 119z − 110
Step-by-step explanation:
3(2x + 5) + 4(3x - 2)
Answer:
18x+7
Step-by-step explanation:
3(2x + 5) + 4(3x - 2)
6x+15 + 12x - 8.........distribute
18x+7..........................combine like terms
18x+7
[tex]Hiya![/tex]
Sokka is here to help!!
Here's a explanation!
[tex]3(2x + 5) + 4(3x - 2)[/tex]
You have to distribute:
[tex]=(3)(2x)+(3)(5)+(4)(3x)+(4)(-2)[/tex]
[tex]=6x+15+12x+-8[/tex]
You must combine like terms:
[tex]=6x+15+12x+-8[/tex]
[tex]=(6x+12x)+(15+-8)[/tex]
[tex]=18x+7[/tex]
ANSWER:
[tex]=18x+7[/tex]
Hopefully, this helps you!!
[tex]Sokka[/tex]
Which of the following numbers is closest to 9? O A. v79 O B. 778 O c. 783 O D. 782
Answer:
v79
Step-by-step explanation:
v79-9that is 10 the closest
Amrit's income is 32% more than Bethan's income.
Amrit and Bethan's combined income is £54868.
Calculate Amrit's income.
Answer:
Based on the given conditions, formulate:
Reduce the fraction:
get the result:
Answer:
Step-by-step explanation:
The Amrit's income is £27434.16.
It is required to find the
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
Let the Bethan's income be x
Amrit's income is 32% more than Bethan's income.
So, Amrit's income=x+32%
Amrit and Bethan's combined income is £54868.
According to given question we have
x+x+32%=£54868
2x+32/100=£54868
2x=54868-0.32
2x=54867.68
x=27433.84
Bethan's income=£ 27433.84
Amrit's income
=x+32%
=£ 27433.84+0.32
=£27434.16
Therefore, the Amrit's income is £27434.16.
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Find the domain of the function.
Answer:
all real numbers except x=8
Step-by-step explanation:
There is apparently a vertical asymptote at x = 8. The function is not defined for that value of x, but is defined everywhere else.
The domain is all real numbers except x=8.
In interval notation: (-∞, 8) U (8, ∞)
sebuah mobil dalam 12 km menghabiskan bensin 1 liter. apa bila mobil menempuh jarak 96 km ,maka bensin yang di butuh kan adalah__liter
[tex] \frac{12}{1} = \frac{96}{x} [/tex]
[tex] 12x = 96[/tex]
[tex]x = \bold{8liter}[/tex]
School OL ROC below
School of Rock
Guitar Bass Drums Keyboard Total
6th grade 13 10 17
20
60
7th Grade
14
17
11
10
8th Grade
18
12
17
16
63
Total
45
51
42
175
What percent of the 7th graders in the School of Rock play keyboard? Round your
answer to the nearest whole number percent,
Submit Anwwer
0
Using the percentage concept, it is found that 19% of the 7th graders in the School of Rock play keyboard.
The percentage of an amount a relative to another amount b is given by:
[tex]P = 100\frac{a}{b}[/tex]
From the table given:
There are 14 + 17 + 11 + 10 = 52 7th graders, hence, [tex]b = 52[/tex]Of those, 10 play the keyboard, hence [tex]a = 10[/tex]Then
[tex]P = 100\frac{a}{b} = 100\frac{10}{52} = 19[/tex]
19% of the 7th graders in the School of Rock play keyboard.
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tell the answer of the last q i asked pls
q was :-(
Rohan spent 20% of his pocket money on transport and ₹60 on his breakfast.If he spent 15% of the remaining money on his lunch and had ₹340 left, what was his pocket money?
He spent on transport = 20%
spent on breakfast = 60/-
spent on lunch = 15%
remaining amount = 340
rs he spent on transport = 20/100 × 340 =68
rs he spent on lunch = 15/100 × 340 = 51
Therefore, total of his pocket money = 68 + 51 + 60 + 340
= ₹519
Which sequence is geometric?
Group of answer choices
-2, 1, 6, 13...
-1, 2, 7, 14
-4, 20, -100, 500...
-7, 7, 21, 35...
Hi there! :)
A geometric sequence is a sequence where we use multiplication or division to get to the next term.
We use multiplication in the third sequence (we multiply by -5)
So the answer is Option C
Hope it helps
~Just a gloomy teen who misses her best friend
#CarryOnLearning
[tex]SilentNature[/tex]
The difference between two numbers is 5, and 2 times the lesser number is 18 more than the greater number. Find the numbers.
Answer:
Let x and y be the numbers, with x the larger one.
x - y = 5
2y = x + 18
Then solve this system of equations:
x - y = 5
x - 2y = -18
Subtract bottom equation from top equation and get
y = 23
So x = y + 5 = 23 + 5 = 28
PLEASE HELP 60 POINTSSSS
Answer:
x = 6.5 units
Step-by-step explanation:
The 2 given squares are the on the legs of the right triangle with hypotenuse x
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 legs , then
x² = 13 + 29.25 = 42.25 ( take square root of both sides )
x = [tex]\sqrt{42.25}[/tex] = 6.5 units