The volume of a sphere can be calculated using the formula V = (4/3)πr³, where π can be approximated as 3.14 for simpler calculations. Volume is proportional to the cube of the radius, so if the radius changes significantly, the volume adjusts correspondingly by the cube of the factor of change.
To calculate the volume of a sphere using the value 3.14 for pi, you can apply the formula V = (4/3)πr³. If the radius of the sphere is 'r', you would plug in the value of 'r' into this formula. Next, you would multiply the result by 4/3 and then by 3.14 in place of π to get the volume. It's important to note that the volume of the sphere increases proportionally to the cube of the radius, meaning if the radius changes by a factor of 10, the volume changes by a factor of 10³ or 1000.
a balloon factory tests 4 different materials for a new balloon. they will do the same number of tests on each material. the manager says that they need to do an odd number of total tests. how can they do this
30 tens equals how many hundreds
The number 30 tens is equivalent to three hundred.
In the decimal system, there are ten units in a group called a "ten." Likewise, there are ten tens in a group called a "hundred."
Therefore, one hundred is equal to ten tens.
Since we know that one hundred is equal to ten tens, calculate how many hundreds are equivalent to 30 tens.
Divide 30 by 10 to find out how many groups of ten are present:
= 30 tens ÷ 10
= 3
Therefore, 30 tens are equal to 3 hundreds.
Learn more about Place value here:
https://brainly.com/question/27734142
#SPJ6
the dimensions of a box that will hold twice as many cubes as a box that is 4 by 5 by 6
The product of the dimensions of the box is 240.
What is mean by Cuboid?
A cuboid is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six rectangular faces with eight vertices and twelve edges is called cuboid.
Given that;
The dimensions of the cubes boxes are 4 by 5 by 6.
Now,
Since, The dimensions of a box that will hold twice as many cubes as a box.
And, The volume of the box = 4 x 5 x 6
= 120
So, The volume of the box that will hold twice as many cubes as a box;
= 2 x 120
= 240
And, We are not sure the exact dimensions of the box.
Thus, The product of the dimensions of the box is 240.
Learn more about the cuboid visit:
https://brainly.com/question/46030
#SPJ2
simplify 4(x+2) distributive property
Point A is at (3, 2.6) and point B is at (3, 1.4) on a coordinate grid. The distance between the two points is ____. Input numbers and decimal point only, such as 5.8.
Answer:
1.2
Step-by-step explanation:
The x in each point is 3 so we can leave that alone.
Then we subtract.
2.6 - 1.4 = 1.2
The distance between the points (3, 2.6) and (3, 1.4) will be 1.2 units.
What is the distance between two points?Let one point be (x, y) and another point be (h, k).
Then the distance between the points will be
D² = (x – h)² + (y – k)²
Point A is at (3, 2.6) and point B is at (3, 1.4) on a coordinate grid.
(x, y) ⇒ (3, 2.6)
(h, k) ⇒ (3, 1.4)
Then the distance between the points (3, 2.6) and (3, 1.4) will be
D² = (3 - 3)² + (2.6 - 1.4)²
D² = 0 + 1.2²
D = 1.2 units
Learn more about the distance between two points here:
https://brainly.com/question/18296211
#SPJ2
What is the length of a rectangle whose width is 17 inches and whose area is 582.35 inches squared?
0.5p=p+5
I am so lost??
To solve the equation 0.5p = p + 5, subtract p from both sides and divide both sides by -0.5.
Explanation:To solve the equation 0.5p = p + 5, we can start by simplifying both sides. Let's subtract p from both sides: 0.5p - p = 5. Combining like terms, we get -0.5p = 5. Now we can divide both sides by -0.5 to isolate p: p = 5 / -0.5. Dividing 5 by -0.5 gives us p = -10. Therefore, the solution to the equation is p = -10.
How would you decide whether 3/5 or 59% is greater?
An airplane covers 94 miles in 1/6 of an hour.
The plane can cover
miles in 6 hours.
There are 30 students Mr. Robert's home room 45% of the students ride the bus. How many students ride the bus?
How do I translate this sentence into an equation"
Three less than one-half a number is -71"?
what is the value of the expression 9x1/3 to the second power + 2+4/7
Function 1: y = 4x + 5
Function 2: The line passing through the points (1, 6) and (3, 10).
Which of these functions has the greater rate of change?
A) Function 1, because the slope is 5 and the slope of function 2 is 4.
Eliminate
B) Function 1, because the slope is 4 and the slope of function 2 is 2.
C) Function 2, because the slope is 7 and the slope of function 1 is 5.
D) Function 2, because the slope is 5 and the slope of function 1 is 4.
b
Step-by-step explanation:
17/25 +3/10 as a fraction equals?
What is negative 14 minus 22
Hiro has 36 pictures of his summer trip.He wants to put them in an album.Each page of the album holds 4 pictures.How many pages will hiring need for pictures?
If a cashier gave Jasmine $10 change back when she purchased a dress for $60.00, which equation could be used to find the amount of money Jasmine gave to the cashier?
Find the value of 5 ∙ 23.
Final answer:
To solve the expression 5 ∙ 23, we multiply 5 by 23, which gives us the answer 115.
Explanation:
The student has asked to find the value of 5 multiplied by 23. In mathematics, when we see an expression like 5 ∙ 23 without any parentheses, it simply means we need to multiply the number 5 by 23 to get the answer. Let's perform this calculation step by step:
First, we write down the number we need to multiply, which is 5.
Next, we write down the number by which we are multiplying, which is 23.
Now we multiply these two numbers: 5 * 23 = 115.
The answer to the expression 5 ∙ 23 is 115.
The value of [tex]\(5 \cdot 2^3\)[/tex] is 40.
To find [tex]\(5 \cdot 2^3\)[/tex], adhere to the order of operations. The expression involves exponentiation before multiplication.
First, compute the exponent: [tex]\(2^3\)[/tex] equals [tex]\(2 \times 2 \times 2\)[/tex], resulting in 8.
Then, multiply this value by 5, yielding [tex]\(5 \times 8\)[/tex], which simplifies to 40.
The process follows the principles of the order of operations (PEMDAS/BODMAS), ensuring accurate computation.
Thus, [tex]\(5 \cdot 2^3\)[/tex] equals 40.
Complete Question:
The equation y = 1725 - 75x represents the amount of money y (in dollars) left in your lunch account after x weeks. 20 weeks go by. FInd the domain and range of the function.
The domain of the function y = 1725 - 75x, representing money left in a lunch account, is between 0 and 20 weeks. The range is the amount of money, from $225 to $1725.
Explanation:The equation y = 1725 - 75x represents the amount of money left in a lunch account after x weeks. If we consider the function f(x) for 0 ≤ x ≤ 20. The domain of this function, which is the set of allowable values for x, is from 0 to 20, inclusive. This means that x can take on any real number value between 0 and 20. For the range, we calculate the minimum and maximum values of y using the equation, which are y when x = 0 and y when x = 20 respectively. For x = 0, y = 1725 and for x = 20, y = 1725 - 75(20) = 1725 - 1500 = 225. So the range of y is from 225 to 1725 dollars.
a fruit-packing warehouse is shipping 15 boxes of grapefruit to a store in Santa Rosa California what is the shipping
60 is 3/8 of what number
Jack has 9 quarters, 7 dimes, and 5 nickles. Does he have enough money to buy a box of crayons for $3.25?
Norah and Janice share £300 in the ratio 9:1. Calculate the share of the money Norah and Janice will each receive
Final answer:
Norah and Janice share £300 in a 9:1 ratio. Norah receives £270 while Janice gets £30, after dividing the total amount into 10 parts and then allocating the shares according to the ratio.
Explanation:
To calculate the share of the money Norah and Janice will each receive from £300 in the ratio of 9:1, we need to find out how many parts we divide the total sum into, and then allocate the appropriate amount to each based on the ratio.
Firstly, the total number of parts is 9 (for Norah) + 1 (for Janice) = 10 parts.
Next, we calculate the value of each part by dividing the total sum of £300 by 10: £300 / 10 = £30 per part.
Now, to find Norah’s share, we multiply 9 (her part of the ratio) by the value of one part: 9 * £30 = £270.
Janice’s share is simply one part, so it's £30: 1 * £30 = £30.
Therefore, Norah will receive £270 and Janice will receive £30.
eight identical shirts cost a total of $152. how much does one shirt cost?
Answer:$19
Step-by-step explanation: 152 ÷ 8 = 19
So one shirt cost $19.
I need help on number 2 pls
Mai-Li has 5 1/8 yd of material her new shirt will take 2 3/4 yd how much material will she have left after the skirt is made.
a. 2 3/4 yd
b. 3 5/8 yd
c. 2 3/8 yd
d. 3 1/8 yd
4 1/8c=____fl oz
a. 32 fl oz
b. 33 fl oz
c. 41 fl oz
d. 33 fl oz
65in=____ft
a. 65/12 ft
b. 12 ft
c. 5 5/12 ft
d. 780 ft
Sophia had 4/8 yard of string she used 1/6 of the string for a school project how many yards of string did she use for her project
a. 5/6
b. 1/3
c. 1/12
d. 2/3
7 1/13 4 15/17
a. 28
b. 35
c. 48
d. 40
8 8/9-5 1/11
a. 4
b. 5
c. 14
d. 11
5,941mm=5,941____
a. m
b. km
c. cm
d. dm
17 ft =____ yd _____ft
A theater has 990 total seats. There are a total of 22 rows in the theater. If each row has an equal amount of seats, how many seats are in each row? Find the unknown number in the equation 990÷22= s
how u can use repeated reasoning to find multiplication facts
Repeated reasoning is a strategy used in mathematics to find multiplication facts by recognizing patterns and making generalizations. It involves using known facts to find other facts and making connections between different problems.
Explanation:Repeated reasoning is a strategy used in mathematics to find multiplication facts. It involves recognizing patterns and using them to make generalizations about multiplication. When using repeated reasoning, you can start with a known fact, such as 2 x 3 = 6, and then apply that knowledge to find other facts. For example, you can use the fact that 2 x 3 = 6 to find 2 x 4 by adding another group of 2, resulting in 6 + 2 = 8.
Another example of using repeated reasoning is the commutative property of multiplication. This property states that the order of the factors does not change the product. So, if you know that 3 x 4 = 12, you can use repeated reasoning to determine that 4 x 3 = 12 as well.
By using repeated reasoning, you can build upon your knowledge of multiplication facts and make connections between different problems, which helps in understanding multiplication concepts more deeply.
Learn more about Repeated Reasoning here:
https://brainly.com/question/34289696
#SPJ3
Which strategy can be used to multiply 6 x 198 mentally?