To find the number of golf balls that can fit in the compartment, we calculate the volume of the compartment and then divide by the volume required to pack a golf ball. We can fit around 88 golf balls in the bag.
Explanation:We first need to find the volume of the rectangular prism. The volume of a rectangular prism can be found by multiplying the length, width, and height. So, volume = 6 * 8 * 9 = 432 cubic inches.
Next, we can find the volume of a golf ball which is a sphere using the formula 4/3 * π * r³ where r is the radius of the sphere. The diameter of the golf ball is given as 1.7 inches, which means the radius is 1.7/2 = 0.85 inches. So, the volume of the golf ball = 4/3 * π * (0.85)^3 = 2.57 cubic inches (approx).
As per the question, in a random packing of spheres, 190% of the volume of the sphere is needed. Therefore, the required volume for each ball = 2.57 * 190/100 = 4.87 cubic inches. The total number of balls that will fit = volume of rectangle/volume of each ball = 432/4.87 = 88 (rounded down to a whole number). So, the answer is 88 balls.
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select three ratios and that are equivalent to 3:12
Final answer:
To find three ratios equivalent to 3:12, we simplify the ratio to 1:4 and then scale it up. The three equivalent ratios are 2:8, 3:12 (the original ratio), and 4:16.
Explanation:
To find three ratios equivalent to the ratio 3:12, we need to simplify or scale the given ratio up or down. Given that 3:12 simplifies to 1:4 (by dividing both numbers by their greatest common divisor, which is 3), any multiple of this simplified ratio will also be equivalent to 3:12.
By multiplying both terms of the ratio 1:4 by 2, we get the equivalent ratio 2:8.Multiplying both terms by 3 gives us another equivalent ratio, 3:12, which is our original ratio and shows that multiplying by a common factor yields an equivalent ratio.Lastly, multiplying both terms by 4 would give us the equivalent ratio 4:16.These three equivalent ratios show the concept of scaling a ratio up while maintaining the proportional relationship between the two quantities.
ANSWER PLZ ASAP!!!!!!!!!!!!!!
Just substitute r with 357 and solve.
= 1/7(357) + 3(1/7(357))
= 51 + 3(51)
= 51 + 153
= 204
Therefore, Eliza read 204 in those 3 days.
Best of Luck!
Answer:
Part A: 204 pages
Step-by-step explanation:
Eliza reads of her book on Monday by [tex]\frac{r}{7}[/tex] pages, where r is the total number of pages in the book.
On Tuesday and Wednesday combined, she reads three times as much as she reads on Monday i.e. [tex]\frac{r}{7} * 3 = \frac{3r}{7}[/tex] pages.
So, combining Monday, Tuesday and Wednesday she reads [tex]( \frac{r}{7} + \frac{3r}{7} ) = \frac{4r}{7}[/tex] number of pages.
Part A: If Eliza's book has a total of 357 pages then combining Monday, Tuesday and Wednesday she reads [tex]\frac{4*357}{7} = 204[/tex] pages.
please give me brainliest
Alliance Cannery received an order for 384 cans of food. The order can be made up of a combination of cans of fruit, which are processed at a rate of 24 cans per minute, and cans of vegetables, which are processed at a rate of 64 cans per minute.
x = number of minutes for fruit cans
y = number of minutes for vegetable cans
Which of the linear equations expresses the situation?
3x + 8y = 384
24x + 64y = 384
64x + 24y = 384
24x + 64y + 384 = 0
Answer:
24x + 64y = 384
The linear equation that expresses the situation is 24x + 64y = 384. This equation represents the number of cans of fruit (x) and cans of vegetables (y) processed at different rates. We can check the equation by plugging in values of x and y.
The linear equation that expresses the situation is 24x + 64y = 384. This equation represents the number of cans of fruit (x) processed at a rate of 24 cans per minute and the number of cans of vegetables (y) processed at a rate of 64 cans per minute. The left side of the equation represents the total number of cans processed, and the right side represents the total number of cans in the order, which is 384. We can check this equation by plugging in the values of x and y to ensure that it satisfies the condition of the order. For example, if we plug in x = 4 and y = 3, we get 24(4) + 64(3) = 384, which is true.
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A student solved this problem by working backward.
Jared has some flowers. He has 6 more red flowers than yellow flowers. He has twice as many orange flowers as red flowers. He has 4 yellow flowers. How many flowers does Jared have altogether?
Student's solution:
Jared has 4 yellow flowers.
He has 6 more red than yellow flowers (4 + 6 = 10).
He has twice as many orange flowers as red flowers (10 × 2 = 20).
So Jared has 4 + 10 + 20 = 34 flowers.
Use a similar strategy to solve this problem.
Kathleen has some balloons. She has 7 more silver balloons than gold balloons. She has 3 times as many bronze balloons as silver balloons. She has 5 gold balloons.
How many balloons does Kathleen have altogether
Kathleen has 5 gold balloons, 12 silver balloons, and 36 bronze balloons. By adding the number of each type, she has a total of 53 balloons.
To determine how many balloons Kathleen has altogether, we can work backward just like the student did in the original problem. Here are the steps:
Kathleen has 5 gold balloons.She has 7 more silver balloons than gold balloons, so she has 5 + 7 = 12 silver balloons.She has 3 times as many bronze balloons as silver balloons, so she has 12 × 3 = 36 bronze balloons.Adding them all together: 5 gold + 12 silver + 36 bronze = 53 balloons.Hence, Kathleen has a total of 53 balloons.
what is the difference between polynomials? (x^4+x^3+x^2+x)-(x^4-x^3+x^2-x)
Answer: 2x^3 + 2x
Step-by-step explanation:
[tex](x^4+x^3+x^2+x)-(x^4-x^3+x^2-x)\\\\x^4+x^3+x^2+x-x^4+x^3-x^2+x\\\\2x^3+2x[/tex]
Which equation is y=-3x2 – 12x – 2 rewritten in vertex form?
y=-3(x + 2)2 + 10
y=-3(x - 2)2 + 10
y=-3(x + 2)2 – 14
y=-3(x - 2)2 - 2
Answer:
the answer is the first one
Step-by-step explanation:
the easiest way is to look at the constant. negitive three multiplies with 2 to get -6. Then it is multiplied with 2 again to get -12. Then add 10 to get -2.
A horizontle line passes through the points (5, -1). Which point is also on this line?
Factor as the product of two binomials.
x^2+14x+49=
Answer:
( x + 7 ) ( x + 7 )
Step-by-step explanation:
Product = 49
Sum = 14
Factors = 7 & 7
x² + 14x + 49
( x + 7 ) ( x + 7 )
Answer:
Step-by-step explanation:
x² + 14x + 49 = x² + 7x + 7x + 7*7
= x*( x+ 7) + 7*(x + 7)
= (x + 7)(x + 7)
What is the sum of the numbers in a data set divided by the total number of values in the data set?
A) Mean
B) Center of data
C) Range
D) Median
E) Outlier
Answer:
A) Mean
Step-by-step explanation:
The mean of a data set is one of the ways to calculate the center of tendency, center of data, or the "average".
Example of a set of data: 4, 2, 1, 6
Mean = sum of data / number of data
= (4 + 2 + 1 + 6) / 4
= 13 / 4
= 3.25
Other incorrect answers:
Range - this shows the difference between highest and lowest values in a data set.
Using our example:
highest = 6; lowest = 1
Range = highest - lowest
= 6 - 1
= 5
Median - this shows the "middle" of data if you lined them up from least to greatest, and found the number in the middle.
Using our example:
4, 2, 1, 6
1, 2, 4, 6 Reorder from least to greatest
1, 2, 4, 6 Focus on the middle
(2 + 4)/2 = 3 Find the mean of the two middle numbers
Median = 3
Outlier - this names a piece of data that is far off from what the rest of the numbers are
In our example, we have no outliers.
However, if the data was 4, 2, 1, 6, 20
Then the outlier would be 20.
Can you plz help with this question ASAP!!!?
Answer:y=2/3x
Step-by-step explanation:
What number goes in the cell in row y, below 4?
Answer:
10.
Step-by-step explanation:
The formula for this table is y=x+6. plug in 4 and you get 10
Answer:
10
Step-by-step explanation:
Don't just think: 6,7,8,9, oh it must be 10.
When x is 0, y is 6. That means no matter what 6 is added to x. So if we look at when x is 2, y = 8. Lets subtract the 6 from the 8 and we get 2. So the x is not multiplied by anything.
The equation is y = x+6.
4+6=10
A planet's radius is approximately 1,534 mi. About two-thirds of the planet's surface is covered by water.
Enter an estimate for the land area on the planet. Round the answer to the nearest million.
Answer:
ok so the earth radius is 1534mi so if that is the radius than the area is 7.39×10^6so then you divide that into 3 pieces so each piece would be 2,463,333.3333 the nearest million would be 2,000,000
Step-by-step explanation:
To find the land area of a planet with a radius of approximately 1,534 miles and two-thirds water coverage, we calculate the total surface area and take one-third of that as the land area. The land area is approximately 9,867,658 square miles, which rounds to 10 million square miles.
To estimate the land area on the planet with a radius of 1,534 miles that is two-thirds covered by water, we first calculate the planet's total surface area using the formula for the surface area of a sphere, which is 4πr². Plugging in the radius:
Total surface area = 4π(1,534)² ≈ 29,602,975 square miles.
Since two-thirds of the planet's surface is covered by water, one-third is land. Therefore, the land area is approximately:
Land area = ([tex]\frac{1}{3}[/tex]) × Total surface area ≈ ([tex]\frac{1}{3}[/tex]) × 29,602,975 ≈ 9,867,658 square miles.
When rounded to the nearest million, the estimate for the land area is 10 million square miles.
Translate radical expressions into expressions with rational exponents, and vice versa. Simplify numerical
expressions when possible.
6.(2x). O
04 - 0
Answer:
a) ([tex]\sqrt[n]{x}[/tex]) the n will be 5 the x will be (-32/243)^2.
b) written the same as a. except the c will replace the n and x will be (2y)^b.
c) the answer will be 0.4^3.
d) the answer would be (st)^v/u.
Hope this helps!
Brainliest?
Fractions with the same numerical value or that are equal to each other are called _____.
A: mixed fractions
B: parallel fractions
C: simplified fractions
D: equivalent fractions
D. Equivalent Fractions
Answer:
D: equivalent fractions
Step-by-step explanation:
hope this helped :)\
stay safe
brainliest is appreciated
Please answer the following question attached.
Answer:
Nonlinear
Step-by-step explanation:
Because it is an exponentially growing graph that is not linear.
Answer:
Non-linear
Step-by-step explanation:
If the graph was growing it would be linear.But the graph isn't growing.So it becomes non-linear.
what is the different of the complex number ? (3+7i)-(-4-2i)
Answer:
7 + 9i
Step-by-step explanation:
Given
(3 + 7i) - 1(- 4 - 2i) ← distribute both parenthesis
= 3 + 7i + 4 + 2i ← collect like terms
= 7 + 9i
Answer:
7+9i
Step-by-step explanation:
Combine the like terms to create an equivalent expression 9y+y
hlep me plz
Answer:
10y
Step-by-step explanation:
Answer: the answer would be 10y
A toy store purchases small rubber balls that come in different colors in bulk from a wholesaler. The manager randomly filled the vending machine in the store with some of these balls. The machine has 30 yellow balls, 45 blue balls, and 75 pink balls. Suppose the store purchases a shipment of 2,000 rubber balls. How many balls of each color should be expected in the shipment?
Answer:
400 yellow 600 blue 1000 pink
Step-by-step explanation:
30 yellow balls, 45 blue balls, and 75 pink balls
initial sample = ratio of 2:3:5
Shipment 2000 = 2:3:5 = 400 yellow 600 blue 1000 pink
2+3 + 5 = 10 1) We add up the ratio
2000/10 = 200 2)We apply the ratio total to shipment total
and divide.
2 x 200 = 400 3)We multiply by 200
3 x 200 =600
5 x 200 = 1000
Simple as that.
Answer:
The collection of balls in the vending machine is a random sample of 150 balls. The percentage of balls of each color in the vending machine can be used as a model for the company’s shipment purchases:
P(yellow) =30/150 = 20%
P(blue) = 45/150= 30%
P(pink) =75/150 = 50%
If the store purchases 2,000 rubber balls, then about 2,000(0.2) = 400 should be yellow, 2,000(0.3) = 600 should be blue, and 2,000(0.50) = 1,000 should be pink.
PLATO ANSWER
The Burlington Tigers are having team shirts made. One option is to pay Edward's Tees a $50 setup fee and then buy the shirts for $6 each. Another option is to go to City Printing, paying $40 for a setup fee and an additional $8 per shirt. The team parent in charge of the project notices that, with a certain number of shirts, the two options have the same cost. What is the cost?
Answer:
$56
Step-by-step explanation:
$40+$16(that is, 8+8)=56 and 50+6=56
Hello:) For partial fractions, is
Quotient = remainder / diviser
a proper fraction?
Answer:
You can represent most things with a partial fraction, anything in the form:
[tex]\frac{f(x)}{(x+\alpha )(x-\beta )}=\frac{A}{(x+\alpha )}+\frac{B}{(x- \beta )}[/tex]
Notice how the roots of the equation from the denominator on the left hand side are used to form the denominations of fractions on the right hand side.
We can now multiply both sides by the denominator on the left hand side.
[tex]f(x)=A(x-\beta )+B(x+ \alpha )[/tex]
We can now setup 2 simultaneous equations by substituting [tex]x[/tex] for your values of [tex]-(- \beta )[/tex] and [tex]-\alpha[/tex] to make [tex]A[/tex] or [tex]B[/tex] 0, allowing you to find the other [tex]A[/tex] or [tex]B[/tex] value.
[tex]f(-\alpha ) = A(-\alpha - \beta) + 0\\f(\beta ) = 0 + B(\beta + \alpha )[/tex]
what is the length of arc S shown below
Answer:
s= 11.3 units
Step-by-step explanation:
[tex]s= \frac{ \frac{3\pi}{5} }{2\pi} \times 2\pi \: r \\ \\ s = \frac{{3\pi}}{5 \times 2\pi} \times 2\pi \: \times 6\\ \\ s= \frac{{3}}{5} \times \pi \: \times 6 \\ \\ s= \frac{{18}}{5} \times 3.14 \\ \\ s= \frac{{56.52}}{5} \\ s= 11.304 \: units \\ \huge \red {\boxed{s= 11.3 \: units}}[/tex]
the area of a parallelogram is 64 ft2. if the base of the parallelogram is 8 feet , what is its height? 8feet,9feet,10feet and 11feet.
Answer:8 ft
Step-by-step explanation:base is equal to 8ft and the area is 64ft so
Area of parallelograms =base×height
64=8×height
64÷8=HEIGHT
8
Answer:
Your real answer is
16
10
160
Which graph represents a function that has the domain (–∞, –4) ⋃ (–4, 3) ⋃ (3, ∞), has a y-intercept at (0, 3), and is increasing on the interval (0, 4)?
A, B, C, or D?
EDIT: The answer is C. I guessed right.
The answer to this question is C.
The y-intercept of a graph is the point, where the graph crosses the y-axis.
The graph with the given details is graph (c)
The given parameters are:
[tex]\mathbf{Domain = (-\infty,4)\ u\ (-4,3)\ u\ (3,\infty)}[/tex]
[tex]\mathbf{y-intercept = (0,3)}[/tex]
[tex]\mathbf{Increasing\ interval = (0,4)}[/tex]
From the list of given options. graph (d) has a y intercept of 2, because it crossed the y-axis at y = 2.
So, graph (d) cannot be the required graph
Graph (a) has a domain of: [tex]\mathbf{(-\infty,5),,,,,}[/tex]
So, graph (a) cannot be the required graph
The domain of graph (b) is [-3,3]
So, graph (b) cannot be the required graph
Hence, the required graph is graph (c)
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Pls answer This question I don’t know it
Given the following set:
{2,3,5, 6, 8, 9, 11, 12, 14, 15, 18}
What is Q3?
Answer:
Step-by-step explanation:
15
PLZ HELP!!! its due tomorrow
James has 3 coats, 5 pants, 7 shirts, and 4 ties. How many different outfits can James make?
Answer:add 3+5+7
Step-by-step explanation:
3×5×7×4=420
Answer: 420 outfits
What is the length of BC?
9 units
11 units
15 units
16 units
Step-by-step explanation:
Can you post the picture of the question or add more details?
whats an object that is more than 1 foot but less than 2 feet
Answer:
1 foot and a half lol
Step-by-step explanation:
step
by
step
The objects which are more than 1 foot but less than 2 feet are of the measurements 1.1 feet, 1.2 feet, 1.25 feet, and so on.
What are Measurements?Measurement is the method of comparing the properties of a quantity or object using a standard quantity.
Measurement is essential to determine the quantity of any object.
Given that,
We have to find the object which has the length of more than 1 foot but less than 2 feet.
Those objects will be having the measurements in between 1 foot and 2 feet.
1 foot is approximately 30.5 cm.
So, the object will be having the length of 30.5 cm to 61 cm.
Hence the required objects will be having the length in between 30.5 cm to 61 cm.
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Solve for B
A = 1/2bh
Answer:
2A/h = b
Step-by-step explanation:
A = 1/2bh
Multiply each side by 2
2A = 2*1/2bh
2A = bh
Divide each side by h
2A/h = bh/h
2A/h = b
Answer:
B = 2[tex]\frac{A}{H}[/tex]
Step-by-step explanation:
A = 1/2 BH
Divide by H on both sides.
To get: A/H = 1/2B
Multiply 2 on both sides.
To get 2[tex]\frac{A}{H}[/tex]= B
A construction crew built 1/3 miles of road in 1/6 days
What is the unit rate in miles per day?
Write your answer in the simplest form.
Answer:
2 miles per day
Step-by-step explanation:
The length of the road built is 1/3 miles, so let's call L = 1/3
The time spent to build this length is 1/6 days, so let's call D = 1/6
To find the unit rate in miles per day, that is, the speed that this length of the road was built, we just need to divide L by D (speed is distance over time). Let's call the speed S:
S = D/T
S = (1/3) / (1/6)
S = (1/3) * 6
S = 2 miles per day
The unit rate, which is the rate of distance built per day, is 2 miles per day. Calculated by dividing the total distance by the total time, multiplying 1/3 by the reciprocal of 1/6.
Explanation:This question involves the concept of unit rates. A unit rate tells us how one quantity relates to one unit of another quantity. In this case, we are asked to find the number of miles of road that can be built in one day (the unit rate).
To find the unit rate, we need to divide the total distance (1/3 miles) by the total time (1/6 days). When we divide fractions, we multiply the first fraction by the reciprocal of the second.
So, the calculation should be (1/3) ÷ (1/6) = (1/3) * (6/1) = 2.
So, the construction crew can build 2 miles of road in one day.
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