Answer:
[tex]27\ containers[/tex]
Step-by-step explanation:
step 1
Find the volume of one container (cylinder) is equal to
[tex]V=\pi r^{2}h[/tex]
we have
[tex]r=4/2=2\ cm[/tex] -----> the radius is half the diameter
[tex]h=6\ cm[/tex]
substitute
[tex]V=(3.14)(2^{2})(6)=75.36\ cm^{3}[/tex]
step 2
By proportion
Find the the minimum number of identical containers that Sue would need to make [tex]2,000\ cm^{3}[/tex] of ice
[tex]\frac{1}{75.36}=\frac{x}{2,000}\\ \\x=2,000/75.36\\ \\x= 26.5\ containers[/tex]
Round to the nearest whole number
[tex]26.5=27\ containers[/tex]
Answer: 27
Step-by-step explanation:
Given: The height of the cylindrical container = 6 cm
Diameter of container = 4 cm
Then the radius of the container = [tex]\frac{4}{2}=[/tex]2 cm
Now, the volume of the cylindrical container is given by :-
[tex]\text{Volume}=\pi r^2 h\\\\\Rightarrow\text{Volume}=(3.14)(2)^2(6)=75.3982236862\approx75.4\ cm^3[/tex]
Now, the minimum number of identical containers that Sue would need to make 2,000 [tex]cm^3[/tex] of ice is given by:-
[tex]\frac{2000}{75.4}=26.525198939\approx27[/tex]
Hence, the minimum number of identical containers that Sue would need to make 2,000 [tex]cm^3[/tex] of ice is 27.
solve the equation for x 6x + 1 - 4x = 2+ x + 4
Which is an equation of a circle with center (−10, 6) and radius 8?
Well Basically, it’s kinda a struggle to understand this math your explaining:(
Well, 3/6 = 8/?
Which symbol makes the number sentence true?
5 + (20 _?_ 4) = 10
A) +
B) -
C) x
D) ÷
its d so i really hope this help
What is the rule being applied to the x value to find the y value? Write your answer in an equation.
Sean is making picture frames. each frame uses 4/5 yard of wood. what is the total length of wood Sean will need to make 12 frames.
Tracy is making blueberry muffins.she is using 4/4 cup of honey and 4/2 of floyr.Does Tracy use more honey or more flour?
A baseball player got 10 hits in 39 times at bat. What percent of his times at bat did he get a hit? (Round to the nearest percent.)
Tell whether the statement below is always, sometimes, or never true. Equation like, a + 4 = 8 and 4 - m = 2 have exactly one solution.
Final answer:
The statement that equations 'a + 4 = 8' and '4 - m = 2' have exactly one solution is always true, as these are linear equations with one variable. Such equations normally have a unique solution when they are not degenerate.
Explanation:
The statement 'Equations like a + 4 = 8 and 4 - m = 2 have exactly one solution' is always true. For the equation a + 4 = 8, there exists one and only one number a such that when you add 4 to it, you get 8.
Similarly, for 4 - m = 2, there is exactly one solution for m that makes the equation true. These are examples of linear equations with one variable, which have a unique solution assuming they are not degenerate (such as an equation like 0x = 0 which has infinitely many solutions).
In general, if a and b are two given numbers, there exists one and only one number x, and also one and only one number y, such that a+x=b, and y+ a = b respectively.
This principle follows from the property of numbers where there exists a definite number, called 0, such that for every number a, we have a + 0 = a and 0 + a = a. Equations are statements of truth, like √4=±2 which indicates a solution set of {-2, 2} for the equation x² = 4.
A bicyclist started on his trip from city A to city B. In 1 hour and 36 minutes, a biker also left A and headed towards B, and he arrived there at the same time as the bicyclist. Find the speed of the bicyclist if it is less than the speed of the biker by 32 km/hour, and the distance between the two cities is 52 km.
a person walking along a straight road observes that at two consecutive kilometer stones, the angles of elevation of a hill in front of him are 30degree and 45 degree find the height of the hill
pls help show steps pls
1. The net of the 3D shape below are the blueprints of a tent that’s going to be made. Use this to answer questions (a) and (b) below.
(A) What’s the name of the 3D shape this net represents? (For example, square prism, rectangular prism, triangular prism, cube, rectangular pyramid, triangular pyramid, square pyramid…). Write your answer below
(b) What’s the surface area of this tent? Show all work and write your answer below.
thank you I know it is a lot of question but thank you
What geometric term describes a corner f a living room
Choose two or more answers that apply.
The figure is created by hollowing a cone shape out of a cylinder. Select all of the statements that are true about this figure.
A. The exact volume is 432π ft3.
B. The volume of the cylinder is twice the volume of the cone.
C. The approximate volume is 1356 ft3.
D. The volume of the cone is three times the volume of the cylinder.
E. The volume of the figure is 2/3 the volume of the cylinder.
The sum of digits in a two-digit number is 14. If you double the reversed number and add the result to the original number, the sum would be 222. Find the original number.
The original two-digit number is 86. We determined this through solving a system of equations where the sum of the digits is 14 and doubling the reversed number before adding it to the original number equals 222.
Explanation:The student is given a mathematical problem involving a two-digit number. First, we are told that the sum of the digits of the number is 14. Let's assume that the number is made up of digits a and b, where a is the tens digit and b is the ones digit. Therefore, our number can be represented as 10a + b and the reversed number as 10b + a.
According to the given information:
a + b = 14 (the sum of the digits)(2 × (10b + a)) + (10a + b) = 222 (double the reversed number added to the original gives 222)Writing the second equation in standard form gives us 20b + 2a + 10a + b = 222, which simplifies to 21b + 12a = 222. Using the first equation, we can substitute the value of b as (14 - a) into the second equation, resulting in 21(14 - a) + 12a = 222. Solving for 'a' gives us a value of 8, and consequently, b equals 6. Therefore, the original number is 86.
The original number is 86.
Explanation:To find the original number, let's assume the tens digit as 'x' and the units digit as 'y'. So, the original number can be written as 10x + y.
According to the question, we have two equations:
Equation 1: x + y = 14 (The sum of digits is 14)
Equation 2: (10y + x) + 2(10x + y) = 222 (Double the reversed number and add it to the original number is 222)
Simplifying Equation 2, we get: 12x + 21y = 222
We can now solve the system of equations by substituting the value of 'x' from Equation 1 into Equation 2:
12(14 - y) + 21y = 222
Simplifying further, we get:
168 - 12y + 21y = 222
Combining the 'y' terms, we get:
9y = 54
Dividing both sides by 9, we get:
y = 6
Substituting the value of 'y' into Equation 1, we get:
x + 6 = 14
Subtracting 6 from both sides, we get:
x = 8
Therefore, the original number is 10x + y = 10(8) + 6 = 86.
What is a pair of fractions as a pair of fractions with a common denominator of 1/3 and 3/4
Tell whether each statement is true or false. Then explain your resoning. In m+8 =12, the variable m can have any value and be a solution. please answer qiuk
Find the area and perimeter for rectangle with the lengths and widths l = 5 units, w= 6 units
Kim paycheck was $257.20. She put 1/4 of her paycheck into a savings account and used 1/3 of what was left to pay bills. How much money does she have remaining from her paycheck
For the figures shown, HJKL ~ QRST . The scale factor applied to HJKL to create QRST is 8 to 7. What is RS? A. 74 B. 72 C. 64 D. 49
The length of RS is 64 units. Therefore, the correct answer is C. 64.
Since HJKL is similar to QRST, corresponding sides of the two figures are proportional.
Given that the scale factor applied to HJKL to create QRST is 8 to 7, this means that the ratio of corresponding sides of HJKL to QRST is 8:7.
Let's denote the length of RS as x.
According to the scale factor, the ratio of corresponding sides RS and HJ is 8:7. So, we can set up the following proportion:
[tex]\[\frac{RS}{HJ} = \frac{8}{7}\][/tex]
Given that HJ is 56 units (since 8 times the length of HJ), we can solve for RS:
[tex]\[x = \frac{8}{7} \times 56\][/tex]
[tex]\[x = \frac{448}{7}\][/tex]
[tex]\[x = 64\][/tex]
Therefore, RS is 64 units.
So, the correct answer is C. 64.
Help on both 5 and 6 please.
In parallelogram ABCD, m∠A = 24°. What are the measures of angles B, C, and D? Justify. please help
Which could be the function graphed below?
A. f(x)=√x-2
B. f(x)=√x-3+1
C. f(x)=√2x+4
D. f(x)=√x+1+8
Say f(x) = y.
Consider option A.
[tex]y=\sqrt{x} -2[/tex]
[tex]y+2=\sqrt{x}[/tex]
Squaring, we get,
[tex](y+2)^{2} =x[/tex]
Clearly, the above equation represents a parabola (open right) with vertex at (0, -2).
We can easily notice that this function is graphed.
The table shows the amounts of two ingredients Tara used to make a snack mix. She ate 5/8 cup of the snack mix for lunch. How much of the mix is left? Show how you solved.
In this exercise we have to use the knowledge of division, that is, how much is left of a certain food that is found in terms of fraction, in this way we can say that:
[tex]3/8[/tex] left.
So to calculate this exercise, we have to use the total amount minus the amount eaten to find what's left, so we have to:
[tex]8/8-5/8=3/8[/tex]
See more about fraction at brainly.com/question/1301963
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Use the parabola tool to graph the quadratic function f(x)=−12x2+7. Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
Here are a bunch of CORRECT answers, your answer is somewhere in there. For the first CORRECT answer the second point is -5,-9. Don't make the same mistake I did on question 3, but it still shows the correct answer. I love to help.
need help again asapp
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