Time taken to compress 1/4 kilogram trash = 3/8 minutes
The correct option is C.
What is division?The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups.
Given,
Trash compactor can compress 2/3 kilogram trash in 1 minute
Time to compress 1 kilogram = 1 ÷ 2/3
Time to compress 1/4 kilogram = 1/4 × 1 ÷ 2/3 = 1/4 ÷ 2/3
= 1/4 × 3/2 = 3/8 minutes
Hence, 3/8 minutes is the time taken to compress 1/4 kilograms of trash.
Learn more about division here:
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PLS HELP MATHH!!! FIVE STARS!!!
Polynomials are closed under subtraction.
Question 22 options:
True
False
Answer:
True
Step-by-step explanation:
sry if it wrong
Probability question 2
A number cube is rolled once....
23% of what number is 36? please help
O 36 = (0.23)x
O x = (0.23)(36)
O 36 = 23x
O x = (23)(36)
Element X is a radioactive isotope such that every 20 years, its mass
decreases by half. Given that the initial mass of a sample of Element X is 410
grams, how long would it be until the mass of the sample reached 270 grams,
to the nearest tenth of a year?
Answer:
12.1
Step-by-step explanation:
y=a(1/2)^t/h
270=410(1/2)^t/20
Divide both sides by 410
0.6585365854 = (1/2)^t/20
Log Both sides
Log(0.6585365854) / Log(1/2)
.6026645024= t/20
20 x .6026645024 = t
12.05329005 to the nearest tenth is 12.1 = t
2. Are these two ratios equivalent? 8/5, 24/20
Answer: No
Step-by-step explanation:
I took a test and this answer was correct.
solve 3^x+3=30 (will give brainlest for the correct answer)
Answer:
x=3
Step-by-step explanation:
3^x+3=30
3^x=27
3^3=27
x=3
Answer:
Step-by-step explanation:
3 x 3 = 9 + 3 = 12
30 divided by 12
= 2.5
It’s time to lock down the design details for the redesigned Brick and Egyptian candles. Because of manufacturing constraints, the base length for each candle has to be at least 2 cm and can be no more than 10 cm. Make a recommendation for the base dimensions of each candle. Explain how you determined your base dimensions. Your reasoning does not have to be all math related.
Answer:
THE SMALLEST FORMS:
- smallest prism ---> the cube with all sides 2 ==> the volume is 2*2*2 = 8 cm^3
- smallest pyramid number one ---> the pyramid with base sides 2 and the height also 2 ==> the volume is (1/3)*2*2*2 = 8/3 cm^3
- smallest pyramid number two ---> the pyramid with base sides 2 and the lateral sides also 2 ==> the radius of the base is sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 2^2 - sqrt(2)^2 = 4 - 2 = 2 ==> pyramid_height = sqrt(2) ==> the volume is (1/3)*2*2*sqrt(2) = 4*sqrt(2)/3 cm^3
- smallest cylinder --> the cylinder of diameter 2 and height also 2 ==> the radius is diameter/2 = 2/2 = 1 ==> the volume is pi*(radius^2)*height = pi*(1^2)*2 = pi*1*2 = 2*pi cm^3
The lesser volume is the volume of the smallest pyramid number two. ==> it's wax cost is approximately 0.0075 * 4 * 1.42 / 3 $ per candle = 0.014 $ per candle ==> the total cost per candle is approximately 0.014 + 1.6 = 1.614 $ per candle.
THE BIGGEST FORMS:
- biggest prism ---> the cube with all sides 10 ==> the volume is 10*10*10 = 1000 cm^3
- biggest pyramid number one ---> the pyramid with base sides 10 and the height also 10 ==> the volume is (1/3)*10*10*10 = 1000/3 cm^3
- biggest pyramid number two ---> the pyramid with base sides 10 and the lateral sides also 10 ==> the radius of the base is 5*sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 10^2 - [5*sqrt(2)]^2 = 100 - 50 = 50 ==> pyramid_height = 5*sqrt(2) ==> the volume is (1/3)*10*10*5*sqrt(2) = 500*sqrt(2)/3 cm^3
- biggest cylinder --> the cylinder of diameter 10 and height also 10 ==> the radius is diameter/2 = 10/2 = 5 ==> the volume is pi*(radius^2)*height = pi*(5^2)*10 = pi*25*10 = 250*pi cm^3
The bigger volume is the volume of the biggest prism (the side-10 cube). ==> it's wax cost is 0.0075 * 1000 $ per candle = 7.5 $ per candle ==> the total cost per candle is 7.5 + 1.6 = 9.1 $ per candle
The range of the cost is the interval [1.614 ; 9.1]. Depending on other prices on the market, you greed, and other factors you will put a profit margin: maybe 20% of the cost ; maybe a fixed margin like 5$. So the price per candle will be the cost per candle plus the profit margin per candle.
If I were to choose the base length I would have to say 6 because it is the arithmetic mean between 2 and 10: (2+10)/2 = 12/2 = 6. 2cm is too small, and 10cm is too big.
Also if you start with a rectangle of length 10 and width 2 and you have to find the rectangle with the largest area by being allowed to increase the width and decrease the width with the same quantity you get this:
Area of the new rectangle is (10-x)(2+x) = -x^2 + 8x + 20 = -x^2 + 8x -16 + 36 = -(x^2 - 2*x*4 + 4^2) + 36 = -(x-4)^2 + 36 = 36 - (x-4)^2 which has the maximum value of 36 because out of 36 you subtract a positive value. You get the maximum when (x-4)^2 = 0 ==> x-4=0 ==> x=4
The new length is 10-4=6 and the new width is 2+4=6.
Next I would choose the height of the prism (I like prisms :P) to be [the_golden_ratio]*[base_side] which is approximately 1.618 * 6 = 9.708 which I would round up to 10. ==> The volume would be 6*6*10 = 360 cm^3. ==> the cost would be 0.0075*360 + 1.6 = 2.7 + 1.6 = 4.3 $ per candle. And because my candle is so perfect I'd put the profit margin to be 5.69 $ per candle so I can proudly show it in the store with the price of 4.3 + 5.69 = 9.99 $ :)
By which rule are these triangles congruent?
A) AAS
B) ASA
C) SAS
D) SSS
Answer:
A) AAS
Step-by-step explanation:
17q=476 Solve for q
Answer: The answer is q = 28.
[tex] \sqrt[3]{( \frac{1}{8} - x)} = - \frac{1}{2} [/tex]
what is the answer?
∛(1/8 - x) = -1/2
Take the 3rd power of both sides and solve:
(∛(1/8 - x))³ = (-1/2)³
1/8 - x = -1/8
2/8 = x
x = 1/4
i need help asaapppp
Answer:
Step-by-step explanation:
the 3rd one
Match each table to the slope it represents
Answer:
I dont see anything how am I supposed to
A soup can has a height of 4 cm and a radius of 3 cm
Answer:
what's the question
................
Maurice has a paper bag with three hard candies: two blueberries and one green apple. Yvonne and Kate ask if they can each have one. Yvonne closes her eyes and picks a candy from the bag, hoping for a blueberry. What are the chances she will pick a blueberry candy?
Answer:
The chances of Yvonne to get a blue berry candy in the two cases are 1 and 1/2 in case 1 and 2/3 in the case 2.
Step-by-step explanation:
Maurice has a paper bag with three hard candies
2 blueberries and 1 green apple
Yvonne and Kate want 1 candy each
It is not mentioned that ether Kate has taken a candy already before Yvonne or not so we will consider both the cases
Case 1
If Kate has picked a candy before Yvonne
If Kate gets an Apple green candy then the probability or Yvonne to get a Blueberry will be = 2/2 = 1 ( as there will 2 blueberry candy left in the bag)If Kate has taken a Blueberry candy then there will be 1 blueberry and 1 apple green candy in the bag so the probability of Yvonne to get a Blueberry candy will be = 1/2Case 2
If Kate has not taken any candy from the bag before Yvonne
Probability that Yvonne will get a blueberry candy will be = 2/3
Therefore the chances of Yvonne to get a blue berry candy in the two cases are 1 and 1/2 in case 1 and 2/3 in the case 2.
what is the surface area of the square pyramid (pic attached)
Answer:
18ft2
Step-by-step explanation:
what two numbers add up to be 116.5
Answer:
58.25
Step-by-step explanation:
116.5 / 2
= 58.25
Hope this helps!!
58.25+58.25
Those are the two numbers that add up to that number (116.5)
Btw there are also MULTIPLE numbers that add up to 116.5, I'm just putting the one that makes the most sense.
(。ŏ﹏ŏ)
Miri
3x + 9 = -45 step by step please
Answer:
x=- 18
Step-by-step explanation:
3x+9= -45
3x=-45-9
3x=-54
x=-54/3
x= -18
plz help me if you see this
Quantity
0-20 pairs
21-40 pairs
41-60 pairs
61-80 pairs
81 or more pairs
Wholesale Price
(per pair)
$25.00 each
$23.00 each
$21.00 each
$19.00 each
$17.00 each
a) Write an equation that could be used to find the retail price for each range.How do you know the equation will work consistently for each range? plz help me if you see this
Answer:
I am confused on what you are asking but I think the answer is y=12345x
Step-by-step explanation:
its correct
The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there are 1500 after 1 day, what is the size of
the colony after 3 days? How long is it until there are 80,000 mosquitoes?
The size of the colony after 3 days is approximately mosquitoes.
Answer:
There are 2,500 misquitos after 3 days and it takes 158 days to reach 80,000 mosquitos.
Simplify:
3-2i
-11-8i
Answer:
1i and -19i
Step-by-step explanation:
3-2=1, therefor: 1i
-11-8=-19, therefor: -19i
I NEED HELP ASAP
A student wrote and simplified an expression for the perimeter of the rectangle. (Using the picture provided.)
perimeter
Explain the mistake that was made in the simplified expression. Include the correct simplified expression in your explanation. Be sure to use math vocabulary words.
Answer:
Step-by-step explanation:
Last one
Can someone please help me?
Answer:5
Step-by-step explanation: the like moves at and angle bc u started going faster due to running
Answer:
B
Step-by-step explanation:)
Look at the graph it shows her walking the rest don't make sense
Sarah is allowed to watch no more than 10 hours of television each week. Sarah has already watched 6 hours of television. Define a variable, set up an inequality and solve that inequality to determine how many more hours of television Sarah can watch this week.
Answer:
Inequality = 6 + x ≤ 10
x(Number of hours more of television Sarah can still watch this week) = 4 hours
Step-by-step explanation:
Define a variable, set up an inequality and solve that inequality to determine how many more hours of television Sarah can watch this week.
We are told in the question that:
Sarah is allowed to watch no more than 10 hours of television each week.
This means :
Sarah can watch tv for less than or equal to 10 hours in a week. Sarah has already watched 6 hours of television.
Hence:
The number of hours left that Sarah can watch television in a week is represented as x
Our Inequality Equation =
6hours + x hours ≤ 10 hours
6 + x ≤ 10
Solving the inequality
x ≤ 10 - 6
x ≤ 4 hours
This means Sarah still has no more than (less than or equal to) 4 hours or television left to watch in this week
4m + 7 = -3m + 49 what does this
Answer: m = 6
Step-by-step explanation:
first, move the terms.
4m + 3m = 49 - 7
then, collect like terms and calculate.
7m = 42
then divide both sides.
m = 6
Answer:
m=42
Step-by-step explanation:
simplifying both sides of the equation then isolating the variable.
The inverse function of f(x)= 1/2x +10 shown.
h(x) =2x- ____
What’s the missing value
Answer:20
Step-by-step explanation:
y=1/2x+10
1/2x=y-10
x=2y-20
y=2x-20
9.476, 9.427, 9.43, 9.347, 9.4, 9.38
HELP ASAP
LESSER GREATER
Answer:
B. 9.427, D. 9.347, F. 9.38, E. 9.4, C. 9.43, A. 9.476,
Step-by-step explanation:
2. Solve:
у = 3х
x = -2y + 70
Answer: (10,30)
Step-by-step explanation:
y = 3x
x = -2y + 70
Solve by using the substitution method. Substitute the value for x into the first equation and solve for y.
y = 3(-2y + 70) Multiply it out
y = -6y + 210 Add 6y to both sides
+6y +6y
7y = 210
y = 30
Since y is equal to 30, input the value for y into the equation and solve for x.
30 = 3x Divide both sides by 3
x = 10
What is the range of the graph above?
A student can run 100 yards in 15 seconds. Convert this speed to miles per hour.
helpppppppppppppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer: The answer is C
Step-by-step explanation: