A filter in the shape of a cone has a diameter of 3 inches and a height of 4 inches.
How much liquid can the filter hold without it overflowing?
A) π in3
B) 3π in3
C) 12π in 3
D) 36π in3
Answer:
the correct answer in ''B''
Step-by-step explanation:
Final answer:
The cone-shaped filter with a diameter of 3 inches and a height of 4 inches can hold 3π inches³ of liquid without overflowing, which corresponds to choice B.
Explanation:
To find how much liquid can be held in a cone-shaped filter without overflowing, we use the formula for the volume of a cone, V = πr²h/3, where r is the radius, h is the height, and π (pi) is approximately 3.14. Given that the diameter of the cone is 3 inches, the radius (r) would be half of that, which is 1.5 inches. The height (h) is given as 4 inches. Plugging these values into the formula gives us:
V = π(1.5²)(4)/3 = π(2.25)(4)/3 = π(9)/3 = 3π inches³
Therefore, the cone-shaped filter can hold 3π inches³ of liquid without overflowing, which corresponds to choice B.
Myra owns a car service that charges a $5 flat rate and an additional $0.50 per mile, which is represented by the equation y = 0.5x + 5, where x is the number of miles and y is the total cost. How much is the total cost for a car with 30 miles?
Answer: $20.00
Step-by-step explanation:
help asap i raised to 15 points so plz help and i want clear answer The rental rate for a cement mixer has a flat rate of $40 plus $20 for each day of the rental. The graph shows points representing the total cost of the rental.
Which linear equation, in slope-intercept form, that models the total cost of the rental over time?
a y=x+50
b y=25x
c y=20x+40
d y=50x+25
e y=75x
What percent of 60 is 15
divide 130 in the ratio 6:7
A car traveled 200 miles on 8 gallons of gas. Find the unit rate of gallons per mile.
What is Least to greatest??
Help evaluating the question for 14,16
what is the answer to 0.2 divided by 0.4
Members of the Blade runners skating club collected $950 from fundraising activities.They want to buy Altrablade skates, which are $48 a pair. How many pairs of skates can they buy? What does the remainder represent
Answer:
19 pairs
need 21% of $48 to buy 20th pair
Step-by-step explanation:
If the members collected $950 and they want to by Altrablade skates for $48 a pair, the amount of pairs of skates can be determine by dividing the total amount collected by the cost per skates:
[tex]950/48=19.79=19[/tex]
They can buy 19 pairs of skates by the remainder is 0.79. This represents the amount still needed to buy the 20th pair of skates. So they would need 21% of the $48 to buy a extra pair.
What is the length of the hypotenuse?
Lil help and hand here
Answer:
Ф Well all you need to do to write the linear equation for this function. I assume you want to know, is that you must obtain 2 points, and calculate the slope, then place the info within the following form.
Y = mx + b
1 of the points has to be the y intercept, which can be obtained from the graph, and the other, any other point, which can also be the X intercept.
So, X intercept - (2,0)
Y intercept - (0,3).
Slope = y/X = 3-0/0-2
Slope = 3/-2 or -3/2.
Now put everything together in form:
Y = mx + b
Y = -3/2x + 3.
I believe this is the solution.
Replace each with <, >, or = to make a true sentence.
–6 −4
how to do the parcial-quotients algorithm
To perform the partial-quotients algorithm, follow these steps:
1. Determine the largest multiple of the divisor that fits into the dividend without exceeding it. This multiple becomes the partial quotient.
2. Multiply the divisor by the partial quotient and write the product below the dividend.
3. Subtract the product from the dividend to find the remainder.
4. Bring down the next digit of the dividend (if there is one) to the right of the remainder, forming a new dividend.
5. Repeat steps 1-4 until there are no more digits to bring down or the remainder is less than the divisor.
6. The sum of the partial quotients is the quotient, and the final remainder is the remainder of the division.
Let's apply these steps to an example division: dividing 154 by 3.
1. The largest multiple of 3 that fits into 15 is 15 (5 groups of 3), so the first partial quotient is 5.
2. Multiply 3 by 5 to get 15, and write it below the 15 in the dividend.
3. Subtract 15 from 15 to get a remainder of 0.
4. Bring down the next digit, 4, to get a new dividend of 04.
5. The largest multiple of 3 that fits into 4 is 3 (1 group of 3), so the second partial quotient is 1.
6. Multiply 3 by 1 to get 3, and write it below the 4 in the dividend.
7. Subtract 3 from 4 to get a final remainder of 1.
The quotient is the sum of the partial quotients, which is 5 + 1 = 6, and the remainder is 1. So, 154 divided by 3 is 6 with a remainder of 1.
The partial-quotients algorithm is particularly useful for dividing large numbers because it breaks down the division into more manageable parts. It also helps with understanding the concept of division as a process of repeated subtraction.
There are 30 musicians in the carter school marching band. How many of them play brass instruments
The total number of students who plays brass instruments are 12 students
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The total number of students in the Carter School Band = 30 students
From the figure we can see that ,
Number of students who plays percussion = 1/3 of number of students
Number of students who plays woodwind = 4/15 of number of students
Number of students who plays brass = 2/5 of total number of students
So , the equation will be
Number of students who plays brass B = 2/5 of total number of students
Substituting the values in the equation , we get
Number of students who plays brass B = ( 2/5 ) x 30
Number of students who plays brass B = 2 x 6
Number of students who plays brass B = 12 students
Therefore , the value of B is 12 students
Hence ,
The total number of students who plays brass instruments are 12 students
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Last year, there were 381 students at Woodland Middle School. This year, there are 419 students. What is the percent of change? Is it a percent increase or decrease?
A carpenter makes legs for 3-legged stools and 4-legged tables. He makes a total of 46 legs. He could have made legs for how many 3-legged stools? A. 8 B. 10 C. 12 D. 16
If the wall is 8 feet high, what is the combination height of all of the heights of the bouncy balls?
is this scientific notation? 0.99×10^12
85% of 40 emails equals
a deli sells a sandwich spread for $6.40 per pound. How much do you have to pay for 24 ounces of the spread. (hint: 16 ounces in 1 pound)
$9.6 have to pay for 24 ounces of the spread if a deli sells a sandwich spread for $6.40 per pound.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, multiplication by a conversion factor.
It is given that:
A deli sells a sandwich spread for $6.40 per pound.
$6.40 --> 1 pound
16 ounces = 1 pound
24 = x pound
x = 1.5 pound
$y ---> 1.5 pound
y = 1.5(6.40)
y = $9.6
Thus, $9.6 have to pay for 24 ounces of the spread if a deli sells a sandwich spread for $6.40 per pound.
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To find the cost for 24 ounces of sandwich spread at $6.40 per pound, convert ounces to pounds (24 oz to 1.5 pounds) and then multiply by the price per pound, resulting in a total cost of $9.60.
To determine how much you would have to pay for 24 ounces of sandwich spread at $6.40 per pound, first, you need to convert the weight from ounces to pounds. Since there are 16 ounces in 1 pound, you would perform the following calculation:
24 ounces / 16 ounces per pound = 1.5 pounds.
Next, to find the cost, multiply the number of pounds by the price per pound:
1.5 pounds x $6.40 per pound = $9.60.
Therefore, you would have to pay $9.60 for 24 ounces of the sandwich spread.
lee walked a total of 4.48 miles. he walks 1.4 miles each hour. how long did lee walk?
What number is 73% of 215?
Choose the equation or proportion that you can use to solve the problem
A. 215=0.73n
B. n=0.73*215
C= 0.73 =n* 215
D= 215 = 73n
Plz help!!!! Due today
and plz no spamming
The equation which represents the 73% of 215 is n = 0.73 x 215. The correct option is B.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the number is 73% of the number 215. The number will be calculated by the equation below,
n = 0.73 x 215
n = 156.95
Therefore, the equation which represents 73% of 215 is n = 0.73 x 215. The correct option is B.
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what is the solution of 2x-y=9
what is the answer to 38-19+12
To solve the expression 38-19+12, we subtract 19 from 38, resulting in 19, and then add 12 to get an answer of 31.
To solve the expression 38-19+12, we should follow the proper order of operations, which in this case, simply requires us to perform the subtraction and addition in the sequence they appear from left to right. First, subtract 19 from 38, then add 12 to the result.
Subtract 19 from 38, which equals 19 (38 - 19 = 19).
Add 12 to the result from step 1, which gives us 31 (19 + 12 = 31).
Therefore, the answer to the expression is 31.
Kelli and Karl each have a job. Kelli earns $20 an hour. She also receives a $100 weekly bonus.
Kelli made a table to show how much she earns in a given week.
Hours : 0, 5, 10, 15, 20, 25, 30, 35, 40,
Weekly earnings : 100, 200, 300, 400, 500, 600, 700, 800, 900,
Karl earns $25 an hour and receives a $50 weekly bonus.
Karl made a graph to show how much he earns per hour in a given week.
How many hours will it take Kelli and Karl to earn the same amount of money?
Enter your answer below.
? Hours
use the simple interest formul to find the ending balance 4000 at 6.5 percent for 5 years can someone please help
Phil is riding his bike he writes 42 miles in 4 hours whats 52.5 miles in 5 hours and 63 miles and 6 hours find the constant of proportional and write an equation to describe the situation let X represent the #of hours.
Answer:
Step-by-step explanation:
The constant of proportionality (known as "speed" in this case) is 12.5 miles per hour.
d= 12.5 x t
To find the constant of proportionality, divide one value in each pair by the other. If this relationship is a true direct proportionality , when you repeat these for every pair, your will come up with the same value:
For example
25miles÷2hours=12.5mileshour
A direct proportionality will always result in an equation that resembles this:
y=kx
where y and x are the related quantities and k is the constant of proportionality. If you draw a graph using the values you have, the graph will show a straight line the passes through the origin. The slope of this line will be the constant of proportionality. (And if the values given are real physical quantities, this constant will contain important information about the situation you are studying!)
27.64 x 3 estimate each product of whole numbers and decimals
When adding 51.2 to a certain number, the sum is 56.05, as seen below. What number should go in the box to complete the addition problem?