Answer:
It can hold up to [tex]1.256ft^3[/tex] of waste
Step-by-step explanation:
Given
[tex]D = 1.5ft[/tex] -- Diameter
[tex]h = 1.6ft[/tex] -- height
Required
Determine the amount of waste it can hold
This simply means that we calculate the volume of the cylindrical container.
And this is calculated using:
[tex]Volume = \pi r^2h[/tex]
Where
[tex]\pi = 3.14[/tex]
and
[tex]r = \frac{D}{2}[/tex]
[tex]r = \frac{1.5}{2}[/tex]
[tex]r = 0.75[/tex]
So, we have:
[tex]Volume = 3.14 * 0.5^2 * 1.6[/tex]
[tex]Volume = 1.256ft^3[/tex]
Hence, it can hold up to [tex]1.256ft^3[/tex] of waste
The amount of waste a cylinder can hold nearest to the whole number is 3 cubic feet.
What is a cylinder?A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
A cylindrical hazardous waste container has a diameter of 1.5 feet and a height of 1.6 feet.
The amount of waste a cylinder can hold will be given by the volume of the cylinder.
The volume of the cylinder will be
[tex]\rm Volume = \dfrac{\pi}{4} d^2 h[/tex]
We have
d = 1.5 ft
h = 1.6 ft
Then
[tex]\rm Volume = \dfrac{\pi}{4} * 1.5^2 * 1.6\\\\\rm Volume = \dfrac{\pi}{4} *2.25 * 1.6\\\\\rm Volume = 2.82 \approx 3 \ ft^3[/tex]
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Simplify each expression. (10x3y2/5x-3y4)-3 x=0 y=0
Answer:
D
Step-by-step explanation:
Can you answer both those questions? Please
Solve the equation.
-3(3n + 4) = 6
Answer:
n=-2
Step-by-step explanation:
Let's solve your equation step-by-step.
−3(3n+4)=6
Step 1: Simplify both sides of the equation.
−3(3n+4)=6
(−3)(3n)+(−3)(4)=6(Distribute)
−9n+−12=6
−9n−12=6
Step 2: Add 12 to both sides.
−9n−12+12=6+12
−9n=18
Step 3: Divide both sides by -9.
−9n
−9
=
18
−9
n=−2
Answer:
n = -2
Step-by-step explanation:
-3(3n + 4) = 6; multiply -3 to both 3n and 4.
-9n - 12 = 6; add 12 on both sides.
-9n = 18; divide -9 on both sides to isolate the variable n.
n = -2
which expression is equivalent to 8x - 2y + x + x and why?
A 4x
B 8x
C 6x -2y
D 10x - 2y
Answer:
D
Step-by-step explanation:
8x+x+x-2y=10x-2y variant D
Help me with my math **50 pts*** I mark brainliest**
Answer:
Sure. Now what do you need help on? Please post the question.
Step-by-step explanation:
in a class of 24 students, 13 students sold over 150 rattle tickets each, and the rest of the class sold about 60 rattle tickets each. the class goal was to sell 2,000 tickets. did they reach their goal? explain.
Answer:
yes
Step-by-step explanation:
13×150=1950
9×60 = 540
1950+540=2490
EASY 10 PTS
A rectangle is 18 feet long and 14 feet wide.
The area of the rectangle is blank square feet.
The solution is_____
Solve for x
7x−4≤6
Give your answer as an improper fraction in its simplest form.
Answer:
X≤10/7
Step-by-step explanation:
7x-4≤6
add 4 both sides
7x-4+4≤6+4
7x≤10
divide 7 both sides
7x/7≤10/7
x≤10/7
hope it's helpful ❤❤❤❤
THANK YOU.
The solution of the given inequality is x≤10/7.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The given inequality can be simplified for the value of x as shown below.
7x − 4 ≤ 6
Add 4 both sides,
7x - 4 + 4 ≤ 6 + 4
7x≤10
Divide 7 both sides,
7x/7 ≤ 10/7
x ≤ 10/7
Hence, the solution of the given inequality is x≤10/7.
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What is the value of the expression? 1.8 - 0.9
Answer:
0.9
Step-by-step explanation:
The equivalent value of the expression 1.8-0.9 = 0.9
Given data:
The first decimal number is represented as p.
The value of p = 1.8
The second decimal number is represented as q.
The value of q = 0.9
The expression A = p - q
On simplifying the equation:
A = 1.8 - 0.9
On subtracting both the decimals:
A = 0.9
Therefore, the value of A is 0.9
Hence, the expression is A = 0.9
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Understanding the Number of Solutions Miriam works more than 40 hours a Find the solutions of the inequality and complete the statements. week. h> 40 The solutions of the inequality include all numbers + 0 20 40 60 80 solutions There are of the inequality. ✓ Done Intro
Answer:
The solutions of the inequality include all numbers greater than 40.
There are an infinite number of the inequality.
Step-by-step explanation:
Answer:
Miriam works more than 40 hours a week.
h > 40
A number line going from 0 to 80.
Find the solutions of the inequality and complete the statements.
The solutions of the inequality include all numbers
✔ greater than 40
.
There are
✔ an infinite number of
solutions of the inequality.
Step-by-step explanation:
Please hurry; Toni's grandparents bought a house in 1975 for $28, 000. Every decade, the value of the house doubles. What will be the house's value be in 2020, to the nearest thousand?
a $317, 000
b $448, 000
c $634, 000
d $896, 000
Answer:
c. $634,000
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
His initial cost is $28,000. Every decade the value of the house doubles. We are in year 1975. Let's add 10 years (a decade) 1975+10= 1985. Since we added ten years, we will double $28,000 which is $56,000. Let's add 10 more years 1985+10 is 1995. Since we added 10 years more, we double $56,000 which is $112,000. Now we can still add 10 more years. Do the same thing you did for the first and second decades. You should get the year 2005 and $224,000. We can still add 10 more years to get to 2020. Our year will be 2015 and our total amount in dollar is $224,000² = $448,000. Since the value doubles every decade you ignore the 5.
A marching band has 80 members.
The ratio of members who play wind instruments to all others is 2 to 3.
How many members play wind instruments?
Answer:
30 members will play wind instruments
Answer:
30 would be the answer to the ?
Can y’all help me? 8(m - k) + 5
-8k+8m+5
I think this is the answer
What is:
13. 10% of 20 =
14. 10% of 40 =
15. 10% of 35 =
16. 10% of 42 =
17. 10% of 22 =
18. 10% of 18 =
If the original quantity is 10 and the new quantity is 12, what is the percent increase?
The percent increase is %.
Answer:
20.00% increase, lmk if you need an explaination
Brenda and her family ate dinner at Mi Hacienda. The cost for dinner was $25.50 and they had excellent service. They wanted to leave a 20% tip. How much money did they leave for a tip?
I need the percent and the whole please answer quickly first answer gets brainliest
Answer:
$5.1 tip
Step-by-step explanation:
121 meals / 11 days find the unit rate
Answer:
11 meals per day
Step-by-step explanation:
In order to find the unit rate all we have to do is 121/11 which is 11. Therefore its 11 meal meals per day. Have a blessed day!
5 points
Sc15.)
Katie made 24 cupcakes
. She gave some of them to McKinley. Let c
represent the amount she gave to McKinley. Write an expression to
represent how many cupcakes Katie has left.
24-
2
C - 24
24c
Answer:
24 - c
Step-by-step explanation:
The number of cupcakes Katie has left is the number she made minus the number she gave to McKinley.
__
starting number - number given =
24 - c . . . . . . . the number of cupcakes Katie has left
solve for x
solve for x
solve for x
Answer:
x = 95
Step-by-step explanation:
(2x - 60)° = (x + 35)° (corresponding angles are congruent)
2x - 60 = x + 35
2x - 60 - x = x + 35 - x
x - 60 = 35
x - 60 + 60 = 35 + 60
x = 95
Answer:
x = 95
Step-by-step explanation:
Which equation represents a line which is parallel to the line
6x + 7y = –49?
Answer: y= 7/6x-5
Step-by-step explanation:
The equations of parallel lines have the same slope or rates.
The equation of the line parallel to [tex]\mathbf{6x + 7y = -49}[/tex] is [tex]\mathbf{y = -\frac 67(x - x_1) + y_1}[/tex]
The equation is given as:
[tex]\mathbf{6x + 7y = -49}[/tex]
Make 7y the subject
[tex]\mathbf{7y = -6x-49}[/tex]
Make y the subject
[tex]\mathbf{y = -\frac{6}{7}x -7}[/tex]
A linear equation is represented as:
[tex]\mathbf{y =mx + b}[/tex]
Where m represents the slope.
So, we have:
[tex]\mathbf{m = -\frac 67}[/tex]
Parallel lines have the same slope.
So, the slope of the line is [tex]\mathbf{m = -\frac 67}[/tex]
The equation is then calculated as:
[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]
Substitute [tex]\mathbf{m = -\frac 67}[/tex]
[tex]\mathbf{y = -\frac 67(x - x_1) + y_1}[/tex]
Hence, the equation of the line parallel to [tex]\mathbf{6x + 7y = -49}[/tex] is [tex]\mathbf{y = -\frac 67(x - x_1) + y_1}[/tex]
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The large square pictured below represents one whole.
What decimal represents the shaded part in the model?
Answer:
Its (c) 0.02
Step-by-step explanation:
Answer:
Step-by-step explanation
It is 0.2 I believe if not go with 0.02 Sorry if im wrong im 13 but i got through this stuff.
The perimeter of a rectangular carpet is 94 yards. Its width is 19 yards.
How long is the carpet?
label required
Answer:
28 yards
Step-by-step explanation:
Perimeter=2(L)+2(W)
94=2(L)+2(19)
94=2(L)+38
-38 -38
56=2(L)
÷2 ÷2
28=L
Does this expression represent the sum 13.76 + 2.8?
14 + 4/100
Answer:
This might be wrong.
False?
Answer:
False
Step-by-step explanation:
14 plus 4/100 equals 14.04
13.76 plus 2.8 equals 16.56
HELP ASAP PLSSSSSSSSSSSSSSS
Answer:
a. 5ab b. 11x+15y
Answer:
a. 5ab
b. 11x+5y
Step-by-step explanation:
12ab-7ab they have the same variables, so you can just subtract
19x+5y-8x just rearrange it to 19x-8x+5y and subtract 19x and 8x
stella rewrites -2 1\2+3.7 as 3.7-2 1\2
Answer:
Step-by-step explanation:
Yes correct.
Commutative property upon integer addition/subtraction
-3 + 2 = 2 - 3
What is the solution to the equation -2(2x - 4)= -5x + 3?
Answer:
x=-5
Step-by-step explanation:
Answer:
I am not here in math yet, but I am going to try and solve this,
I think it is ... x= -5??
Step-by-step explanation:
Whats a real life situation that can be described by the linear function y = 20x + 150.
Answer:
Step-by-step explanation:
When working you earn a wage of $150 and then an additional 20 for each item you sell
If the coordinates of a pre-image are (x, y), which motion rule represents a counterclockwise rotation of 90° about the origin?
Answer:
b
Step-by-step explanation:
Could you show the work to please :)
Answer:
Put a point at (-7,0) and another at (0,-2)
Step-by-step explanation:
2x+7y=-14
Plug in 0
2(0)+7y= -14
7y=-14
y=-2
same thing for x
2x+7(0)=-14
x=-7
which of the following best describes the quadratic function below ?
A. a parent function
B. an inverse function
C. opens right
D. opens down
Option A is correct, a parent function best describes the quadratic function.
The quadratic function with a vertex at the origin and opening upward is best described as a parent function.
A parent function is the most basic form of a particular type of function.
In the case of quadratic functions, the parent function is f(x) = x².
It has a vertex at the origin (0, 0) and opens upward.
Therefore, a parent function best describes the quadratic function.
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