Answers
cone = 126/3 = 42
total = 126 +42 = 133 cm^3
Related Questions
how to simplify -7+(-7)
Answers
- 7 - 7 = -14
-14 is your answer
hope this helps
Two friends work at different companies, P and S. Both companies use the number of hours that an employee works to calculate that employee’s vacation hours. In Company P if you work 10 hours you get 0.4 vacation hours, while in Company S if you work 100 hours you get 7 vacation hours. What is the difference in each friend’s vacation hours if both work 2,080 hours?
Answers
Answer:
62.4 hours
Step-by-step explanation:
For P:
Number of hours off on 10 hours of working=0.4
Number of hours on 2080 hours of working=2080/10*0.4
=83.2 hours
For S:
Number of hours off on 100 hours of working=7
Number of hours on 2080 hours of working=2080/100*7
=145.6 hours
The difference between the vacation hours of P and S is of 62.4 hours. S will get more hours of vacation.
the difference in vacation hours between the two friends is 62.4 vacation hours.
For company P:
We know that 10 working hours give 0.4 vacation hours. So, to find vacation hours for 2080 hours, we can set up the following proportion:
[tex]\frac{10}{0.4} = \frac{2080}{vacation\ hours\ of 2080\ working\ hours}[/tex]
Solving this we get:
[tex]vacation\ hours\ of\ 2080\ working\ hours = \frac{0.4 \times 2080}{10} = 0.04 \times 2080 = 83.2\ days[/tex]
Now for company S:
We know that 100 working hours give 7 vacation hours. So, to find vacation hours for 2080 hours, we can set up the following proportion:
[tex]\frac{100}{7} = \frac{2080}{vacation\ hours\ of 2080\ working\ hours}[/tex]
Solving this we get:
[tex]vacation\ hours\ of\ 2080\ working\ hours = \frac{7 \times 2080}{100} = 0.07 \times 2080 = 145.6\ days[/tex]
Finally, find the difference in vacation hours:
[tex]Difference = 145.6 - 83.2 = 62.4\ vacation\ hours[/tex]
Therefore, the difference in vacation hours between the two friends is 62.4 vacation hours.
HURRY PLEASE!!!!!
Mr. McElroy enjoys listening to his MP3 player, which has 2,000 songs in five different genres of music. He took a sample of the number of each type of song it played on two different one-hour sessions when it was set to play a random mix. The results are displayed in the table below. What is a good prediction for the number of rock songs Mr. McElroy has on his MP3 player?
A) 225
B) 550
C) 1100
D) 1667
Answers
Answer:
Its B
Step-by-step explanation:
550 is the closest
the ratio of 12:3 in simplest form
Answers
12 /3 = 4 and 3/3 = 1
the final ratio is 4:1
Step 1: The LCM is 3
So divide 12 with 3 and you get 4
The divide 3 between 3 and you get 1
So your answer is 4:1
Hope this helps:D
Have a great rest of a brainy day!
Molly says that 4/8 is always the same as 1/2. Andrew says that 4/8 and 1/2 are equivalent fractions, but they could be different amounts. Use the models below to determine which student is correct. Explain.
Answers
1/2 kg = 500 g
1/2 ton = 500 kg
What is the missing number 200,188,152,80,8
Answers
A soup recipe calls for 23/4 quarts of broth. An open can of broth contains 1/2 quart of broth. How much more broth do you need to make the soup?
Answers
For the beginning of the problem, I believe you meant to type "2 3/4" instead of "23/4". But to solve this, you can subtract the numbers 2 3/4 and 1/2 . . .
3/4 - 1/2 . . .
3/4 = 3/4
1/2 = 2/4
3 - 2 = 1
The denominator stays the same, so that leads you to the fraction 1/4 . . .
2 + 1/4 = 2 1/4.
2 3/4 - 1/2 = 2 1/4
You need 2 1/4 quarts of more broth to make the soup.
Hope this helps you.
Have a great day!
The bases of an isosceles trapezoid are represented by 4x and 2x. The height of the trapezoid is represented by (x − 6). Which polynomial expression BEST represents the area of the trapezoid?
A) 3x2 − 18x
B) 3x2 + 18x
C) 3x − 18
D) 6x2 + 36x
Answers
a = 4x
b = 2x
h = (x -6)
Area = (4x + 2x)*(x - 6) / 2
Area = (6x)(x - 6)/2
Area = 3x(x - 6)
Area = 3x^2 - 18x
A <<<<<<< ===== answer.
Which proportion would you use to set up to change 6 cups to pints?
Answers
Reason/Explanation: There is a ratio of 1:5. 1 cm to 5 km. You are trying to figure out if there are 4 cm then how many km there would be. That means there's 4 on the top, and X on the bottom.
~Deceptiøn
Answer:
A) is the answer
Step-by-step explanation:
it worked
Find the correct selling price. Round to the nearest dollar.
What was the clerk's error?
Answers
b. I think the clerk thought 30% was 3 dollars, and he added 3 dollars to 27, which is 30.
A rectangular prism has a length of 114 centimeters, a width of 4 centimeters, and a height of 314 centimeters.
What is the volume of the prism?
Enter your answer in the box as a simplified mixed number or a decimal.
________m³
Answers
Answer:
Volume of rectangular prism = [tex]\frac{65}{4}=16\frac{1}{4}=16.25[/tex]
Step-by-step explanation:
Given : A rectangular prism has a length of [tex]1\frac{1}{4}[/tex] centimeters, a width of 4 centimeters, and a height of [tex]3\frac{1}{4}[/tex] centimeters.
We have to find the volume of prism.
We know,
Volume of rectangular prism = length × width × height
Given : Length = [tex]1\frac{1}{4}[/tex] centimeters = [tex]\frac{5}{4}[/tex]
Width = 4 centimeters, and
height = [tex]3\frac{1}{4}[/tex] centimeters = [tex]\frac{13}{4}[/tex]
Thus, Volume of rectangular prism = [tex]\frac{5}{4}\times 4\times \frac{13}{4}[/tex]
Simplify, we have,
Volume of rectangular prism = [tex]\frac{65}{4}=16\frac{1}{4}=16.25[/tex]
The volume of the given rectangular prism is 0.143184 cubic meters (m³).
The formula of the volume of a rectangular prism is:
Volume = Length × Width × Height
Given the dimensions:
Length = 114 cm
Width = 4 cm
Height = 314 cm
First, multiply the length and the width:
Length × Width = 114 cm × 4 cm = 456 cm²
Next, multiply this result by the height:
456 cm² × 314 cm = 143,184 cm³
Therefore, the volume of the rectangular prism is:
143,184 cm³
Now, to convert this into cubic meters (m³), note that 1 m³ = 1,000,000 cm³:
Volume in m³ = 143,184 cm³ ÷ 1,000,000 = 0.143184 m³
So, the volume of the prism is 0.143184 m³.
When 27x^2z/-3x^2z^6 is completely simplified, the exponent on the variable z is _____.
Answers
By properties of powers, if you have the same base, you can substract the exponents. Then:
=(27x^2)z/(-3x^2)(z^6)
=-9z/z^6 (As you can see: x^2-2= x^0=1)
=-9/z^5 (Then, z^6-1=z^5)
Therefore, the answer is: The exponent on the variable z is 5.
Final answer:
The expression 27x^2z/-3x^2z^6 simplifies to -9/z^5, so the simplified exponent on the variable z is -5.
Explanation:
When simplifying the expression 27x^2z/-3x^2z^6, we divide the coefficients and apply the laws of exponents. This means we divide 27 by -3 and subtract the exponents of like terms with variables of the same base.
27/-3 equals -9, and for the variables we subtract the exponents, for x^2 we have x^2/x^2 which simplifies to x^0 and for z we have z^1/z^6, simplifying to z^(1-6) which is z^-5. However, because negative exponents denote division by that variable to the positive exponent, z^-5 represents 1/z^5.
The final simplified expression is -9/z^5. Thus, the exponent on the variable z when the expression 27x^2z/-3x^2z^6 is completely simplified is -5.
how to memorize my timetables
Answers
To memorize your timetables, you can use mnemonic techniques, break down the tables into smaller chunks, and practice regularly.
Explanation:Multiplication tables, also known as timetables, can be challenging to memorize. However, there are several strategies that you can use to make the process easier. One effective method is to create mnemonics, which are memory aids that help you associate numbers with images or phrases. For example, you can associate the number 9 with the shape of a cat's tail, and whenever you see the number 9 in a multiplication problem, you can visualize a cat's tail to help you remember the answer.
Another useful strategy is to break down the tables into smaller, more manageable chunks. Start by memorizing the tables for numbers 0-5, and once you feel comfortable with them, move on to the tables for numbers 6-10. By tackling smaller chunks, you can avoid overwhelming yourself and improve your retention.
Finally, practice regularly and consistently. The more you review the timetables, the more familiar they will become. Consider using online resources, flashcards, or interactive games to make the practice sessions more engaging and enjoyable. Over time, with practice and perseverance, you will gradually memorize your timetables.
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Ki’von has a sink that is shaped like a half-sphere. The sink has a diameter of 20 inches. One day, his sink clogged. He has to use one of two different cups to scoop the water out of the sink. The sink is completely full when Ki’von begins scooping.
(a) What is the exact volume of the sink? Show your work.
(b) One conical cup has a diameter of 8 in. and a height of 6 in. How many cups of water must Ki’von scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number. Show your work.
(c) One cylindrical cup has a diameter of 4 in. and a height of 6 in. How many cups of water must he scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number. Show your work.
Answers
The formula for a complete sphere is V = (4/3) pi r^3
1/2 a sphere is just one half that amount V = 1/2 (4/3) pi r^3 = (2/3) pi r^3
r = 20/2 = 10 a radius (r) is 1/2 d
V = (2/3) 3.14 10^3
V = 2093 cubic inches.
First cone
V = (1/3) pi r^2 h
pi = 3.14 (always)
r = d/2 = 8/2 = 4 in
h = 6 in
Volume = (1/3) * 3.14 * 4^2 * 6
Volume = 1/3 * 301.44
Volume = 100.8
The number of scoops needed is
Scoops = volume of hemisphere / volume of cone
scoops = 2093/100.8
Scoops = 20.6
Scoops should be rounded to 21
2nd Cone.
You just need to substitute the numbers for the second scoop into what I have done above.
The answer is 83.3 which you have to round to 84. He better stick with the first cone (or is it a she).
a local hamburger shop sold a combined total of 757 hamburgers and cheeseburgers on Sunday. There were 57 more cheeseburger sold than hamburgers. How many hamburgers were sold on Sunday?
Answers
Hope this Helps!
you are going to purchase a corvette for $60,00 the interest rate is 4% and you will be paying off the loan in 5 years. What will be your monthly payment?
Answers
If you buy 20 tickets for $6.00, how much are you paying per ticket?
Question 1 options:
.10
.20
.30
.40
Answers
Find the volume for a sphere with a radius of 7 cm. ROUND TO THE NEAREST WHOLE NUMBER
A.)307cm^3
B.)1,436 cm^3
C.)1,020cm^3
D.)615cm^3
Find the radius of a sphere with a surface area of 804 cm^2
A.) 9cm
B.)8cm
C.)64cm
D.)204cm
Answers
Answer:
im sorry i dont get it
Step-by-step explanation:
since y+y=y^2 also they following
Write a function rule for the table
Answers
Claire and Marisa are both waiting to get a rebound during a basketball game. If the height of the basketball hoop is 10 feet, the angle of elevation between Claire and the goal is 35°, and the angle of elevation between Marisa and the goal is 25°, how far apart are they standing?
Answers
2. You must find the distance between them and the goal (Adjacent leg).
3. The distance between Marisa and the goal (dA) is:
Tan(α)=Opposite leg/Adjacent leg
α=25°
Opposite leg=10 feet
Adjacent leg=dA
Tan(25°)=10/dA
4. Let's clear dA:
dA(Tan(25°))=10
dA=10/Tan(25°)
dA=21.44 feet
5. The distance between Claire and the goal (dB) is:
Tan(β)=Opposite leg/Adjacent leg
β=35°
Opposite leg=10 feet
Adjacent leg=dB
Tan(35°)=10/dB
dB(Tan(35°))=10
dB=10/Tan(35°)
dB=14.28 feet
6. Therefore, the distance between Marisa and Claire is:
x=dA-dB
x=21.44 feet-14.28 feet
x=7.16 feet
How far apart are they standing?
The answer is: 7.16 feet
Using trigonometry, Claire is approximately 19.42 feet away from Marisa, given their angles of elevation and the hoop's height.
Using trigonometry, we can find the distance between Claire and Marisa:
[tex]\[ \text{Let } h \text{ be the height of the basketball hoop.} \][/tex]
[tex]\[ \text{Distance}_{\text{Claire}} = \frac{h}{\tan(35°)} \][/tex]
[tex]\[ \text{Distance}_{\text{Marisa}} = \frac{h}{\tan(25°)} \][/tex]
[tex]\[ \text{Distance}_{\text{Claire-Marisa}} = \text{Distance}_{\text{Claire}} - \text{Distance}_{\text{Marisa}} \][/tex]
[tex]\[ \text{Distance}_{\text{Claire-Marisa}} = \frac{h}{\tan(35°)} - \frac{h}{\tan(25°)} \][/tex]
[tex]\[ \text{Distance}_{\text{Claire-Marisa}} = h \times \left( \frac{1}{\tan(35°)} - \frac{1}{\tan(25°)} \right) \][/tex]
Given [tex]\( h = 10 \)[/tex] feet:
[tex]\[ \text{Distance}_{\text{Claire-Marisa}} = 10 \times \left( \frac{1}{\tan(35°)} - \frac{1}{\tan(25°)} \right) \][/tex]
[tex]\[ \text{Distance}_{\text{Claire-Marisa}} \approx 19.42 \text{ feet} \][/tex]
So, Claire and Marisa are standing approximately 19.42 feet apart.
Kateri draws a square. She wants to draw one line to draw one line to divide the square into 2 triangles. Is it possible for her to divide the square into 2 obtuse triangles? Explain
Answers
A square can be divided into two right-angled triangles with one line, but it can't be divided into two obtuse triangles because none of the angles in a square is more than 90 degrees.
Explanation:
No, it is not possible for Kateri to divide the square into two obtuse triangles by drawing just one line. An obtuse triangle is a triangle that has an angle greater than 90 degrees. However, a square is made up of four 90-degree angles. Therefore, when a square is divided into two triangles with one line, the maximum degrees any angle in resulting triangles would get is 90, hence they would be right-angled triangles and not obtuse triangles.
Learn more about Geometry here:https://brainly.com/question/31408211
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A triangle can be formed with side lengths 3 in, 5 in, and 9 in. (5 points) True False
Answers
good luck
Answer:
its false, i did the test
Step-by-step explanation:
By what percent will a fraction decrease if its numerator is decreased by 50% and its denominator is decreased by 25%? Quick I need an answer!!!!
Answers
Please help!
4x(5y-x)-5y(4x-y)
Answers
= 20xy-4x²- 20xy+5y²
= -4x²+5y²
What is (5/8) multiplied by (2/3)
Answers
Here is your answer:
The proper answer to this question is "5/12"
Here is how:
5*2=10/2=5
8*3=24/2=12
Your answer is 5/12!
If you need anymore help feel free to ask me!
Hope this helps!
Write the expression using only positive exponents. Assume no denominator equals zero. I will give brainliest!
Answers
x^10- x^-3 and y^4-y^7. Since, with the x's, you are subtracting a negative, they cancel out, and it's the same as adding a positive: giving you x^13 in the numerator. Subtracting the y's exponents gives you y^-3. Since this is a negative exponent, you put it into the denominator to make it positive. In the end, you get:
x^13 / y^3. Hope this helps!
Grace saw 16 bird habitats at the zoo's aviary. The sign said each habitat had 12 birds.How many birds were in all?
Answers
12 birds in each habitat
16 x 12 = 192
192 is your answer!
Elevators have safety limits for how much weight they can lift. The elevator at the Terrace Hotel can hold up to 2,100 pounds. write an equation or inequality that represents the allowable weight on the elevator at the Terrace Hotel. Graph the solution to the equation or inequality you wrote on the number line. Explain your answer.
Answers
To write this out, we start with a variable, let's say "w" for "weight".
w
Then, we add our inequality symbol "less than or equal to".
w [tex] \leq [/tex]
Last, we insert our weight limit which is 2,100 pounds.
w [tex] \leq [/tex] 2,100
That represents the inequality for his specific problem. To graph this on a number line, we simply use the symbol that matches "less than or equal to", which is a closed circle. And since we are talking about the weight being LESS THAN, our arrow is going to the left. Attached is an image of how to graph this on a number line.
What is 10 meters increased by 25%
Answers
Heather was asked to graph 2x + 4y = 12 by using slope and y-intercept. Her graph is shown. Which choice supports the graph that she has drawn. A) The slope is positive 1 2 and the y-intercept is (0,3). B) The slope is negative 1 2 and the y-intercept is (0, 3). C) The slope is positive 1 2 and the y-intercept is (0, -3). D) The slope is negative 1 2 and the y-intercept is (0, -3).
Answers
Answer:
B) The slope is negative 1/2 and the y-intercept is (0, 3).
Step-by-step explanation:
First we rewrite the equation so we can easily find the slope and y-intercept. We do this by isolating the y-term:
2x+4y = 12
We want to subtract 2x from each side:
2x+4y-2x = 12-2x
4y = 12-2x
4y = -2x+12
Now we divide both sides by 4 (everything on both sides gets divided!):
4y/4 = -2x/4 + 12/4
y = -2/4x + 3
y = -1/2x + 3
The slope is -1/2 and the y-intercept is 3 (the point (0, 3)).
Her graph shows the y-intercept at (0, 3); this part is correct.
The graph also shows we go down one and over two between points; this is a slope of -1/2, which is correct.