The volume of Earth is about 49 times larger than the volume of the Moon, based on their provided radii.
To the nearest whole number, the volume of Earth is approximately 49 times larger than the volume of the Moon.
Given that the volumes of spheres are proportional to the cubes of their diameters, and using the radii provided (1079 miles for the Moon and 3959 miles for Earth), we can calculate the volume ratio:
Volume of Earth: [tex](3959)^3[/tex]
Volume of Moon: [tex](1079)^3[/tex]
Volume of Earth compared to the Moon, = [tex](3959^3) / (1079^3)[/tex] ≈ 49.
There volume of the earth is 49 times larger.
Solve and graph on number line.
a-1 > -9
10 point! Please Help! ASAP!!
How many more cubic inches of juice will cup B hold than cup A when both are completely full? Round your answer to the nearest tenth.
A 8.8 cubic inches
B 10.1 cubic inches
C 14.7 cubic inches
D 22.3 cubic inches
The sum of two numbers is 55. One number is 4 times as large as the other. What are the numbers? PLEASE HELP
Answer:
44 and 11
Step-by-step explanation:
If f(x) = x2 and g(x) = 1 over 2x + 3 , find g(f(-1)).
PLZ HELP 20 POINTS!
What is7√2 in simplest radical form?
how much green ooze was carried all??
Answer:
[tex]5[/tex] cups.
Step-by-step explanation:
We have been given a line plot, which represents the cups of green ooze. We are asked to find the total number of cups.
To find the total number of cups, we will add all the given quantities as shown below:
[tex]2\times\frac{1}{4}+2\times\frac{3}{8}+2\times\frac{1}{2}+3\times\frac{5}{8}+\frac{7}{8}[/tex]
[tex]\frac{2\times1}{4}+\frac{2\times3}{8}+\frac{2\times1}{2}+\frac{3\times5}{8}+\frac{7}{8}[/tex]
[tex]\frac{2}{4}+\frac{6}{8}+\frac{2}{2}+\frac{15}{8}+\frac{7}{8}[/tex]
Make a common denominator:
[tex]\frac{2\times2}{4\times2}+\frac{6}{8}+\frac{2\times 4}{2\times 4}+\frac{15}{8}+\frac{7}{8}[/tex]
[tex]\frac{4}{8}+\frac{6}{8}+\frac{8}{8}+\frac{15}{8}+\frac{7}{8}[/tex]
Add numerators:
[tex]\frac{4+6+8+15+7}{8}[/tex]
[tex]\frac{40}{8}[/tex]
[tex]5[/tex]
Therefore, there are [tex]5[/tex] cups of green ooze in all.
A giant pencil, in the shape of a cylinder, has a length of 36 inches and a diameter of 6 inches. On top, it has a cone-shaped tip with a height of 4 inches. What is the volume of the pencil terms of pi?
HELP ME PLEASE!!!!!!
The body of a 154-pound person contains approximately 2 X 10^-1 milligrams of gold and 6 X 10^1 milligrams of aluminum. Based on this information, the number of milligrams of aluminum in the body is how many times the number of milligrams of gold in the body?
The number of milligrams of aluminium in the body is 300 times the number of milligrams of gold in the body.
Given amount of gold is = g = [tex]2 * 10^{-1}[/tex] mg.
Given amount of aluminium is = a = [tex]6*10^1[/tex] mg.
Let the number of milligrams of aluminium in the body is "k" times the number of milligrams of gold in the body.
So, a = kg
[tex]k=\frac{a}{g}\\k=\frac{6\cdot10^{1}}{2\cdot10^{-1}}\\k=300[/tex]
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The body of a 154-pound person contains approximately 300 times more milligrams of aluminum than milligrams of gold. This is found by dividing the amount of aluminum (60 milligrams) by the amount of gold (0.2 milligrams).
Explanation:To find out how many times the number of milligrams of aluminum is compared to that of gold in a 154-pound human body, we need to divide the amount of aluminum by the amount of gold. The problem states that there are 2 X 10^-1 milligrams of gold and 6 X 10^1 milligrams of aluminum. If we simplify these expressions, we get 0.2 milligrams of gold and 60 milligrams of aluminum.
Next step is to divide the number of milligrams of aluminum by the number of milligrams of gold. Hence, 60 ÷ 0.2 gives us 300.
Therefore, the body of a 154-pound person contains approximately 300 times more aluminum than gold.
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A malt shop used one-fourth of a box of waffle cones every day they were open. How many days would 2 whole boxes last them
URGENTAbel uses a probability simulator to roll a six-sided number cube 100 times and to flip a coin 100 times. The results of the experiment are shown below: Number on the Cube
Number of Times Rolled
1 l 12
2 l 18
3 l 30
4 l 22
5 l 10
6 l 8
Heads:34 Tails:66
Using Abel's simulation, what is the probability of rolling a 2 on the number cube and the coin landing on tails?
84/10,000
1,188/10,000
18/100
66/100
Out of 28 students in a class, 7 have blue eyes. What is the probability a student picked at random from the class does NOT have blue eyes?
A) 1/4
B) 3/4
C) 1/7
D) 6/7
A circle has an area of 78.5 square inches. What is the diameter of the circle?
To determine the diameter of a circle with an area of 78.5 square inches, we solve for the radius using the area formula (A = πr²). We find the radius to be 5 inches, and since the diameter is twice the radius, the diameter is 10 inches.
Explanation:The student has asked how to determine the diameter of a circle if the area is known to be 78.5 square inches. To find the diameter, we first need to calculate the radius using the area formula for a circle, which is A = πr², or area equals pi times the radius squared. Pi (π) is approximately 3.14159, but for most calculations, we can use 3.14 for simplicity.
To solve for the radius, we rearrange the formula to r² = A / π. Plugging in the given area of 78.5 square inches:
r² = 78.5 / 3.14 = 25
Next, we take the square root of both sides to find the radius: r = √25 = 5 inches.
Now that we have the radius, we can determine the diameter by multiplying the radius by 2, as the diameter is twice the length of the radius. Thus, the diameter of the circle is 10 inches.
Simplify the expression
The base of a pryramid can be any polygon how many faces does a pentagonal pyramid have ? Describe the shapes of the faces 22 points plz help give a good answer
A pentagonal pyramid has six faces: one pentagonal base and five triangular lateral faces. Each side of the pentagonal base connects to the apex forming five triangular faces. The total number of faces is six.
A pyramid is a three-dimensional geometric shape with a polygon as its base and triangular faces that meet at a single point called the apex.
A pentagonal pyramid has a base in the shape of a pentagon.
The total number of faces in a pentagonal pyramid equals the number of sides on the base (5) plus one more for the base itself, giving a total of six faces.
Thus, a pentagonal pyramid consists of six faces - one pentagonal base and five triangular lateral faces.
HURRY BRAINLIEST ALREADY TAKEN BUT WOULDN'T IT BE NICE TO KNOW YOU HELPED SOMEONE? :)
Is this right? Problem attached
Anna calculated the area of parallelogram with a base of 72
5
m and a height of 2 m. Her work is shown here.
Answer:
a , c
Step-by-step explanation:
on edge 2021
What is the simplified form of the equation 3/5n-4/5=1/5n ?
A- n=-1
B- n=2
C- n =5/3
D- n=5/2
Answer:
B. n = 2
Step-by-step explanation:
Given equation,
[tex]\frac{3}{5}n-\frac{4}{5}=\frac{1}{5}n[/tex]
[tex]\frac{3n-4}{5}=\frac{n}{5}[/tex]
[tex]3n-4=n[/tex]
Subtracting n on both sides,
[tex]3n - 4 - n = n - n[/tex]
[tex]2n - 4 = 0[/tex]
Adding 4 on both sides,
[tex]2n=4[/tex]
Divide both sides by 2,
[tex]n=2[/tex]
Hence, OPTION B is correct.
What is the mode of the given data set? 65, 45, 79, 56, 63, 45, 71, 69, 65, 53, 45
6 grade math plz help
Sara got 98, 100, 65, 78, 98, 46, 100, 100, 45, and 50 on her reading test. Lee got 97, 67, 89, 99, 100, 45, 79, 89, 58, and 67 on his reading test. What is the mean of Sara's reading test? What is the mean of Lee's reading test? please help with both questions.
Answer:
Saras Mean on her reading test is 78
Lee's Mean on his reading test is 79
Step-by-step explanation:
You add grades for Sara's test together and then you will divide by the= number of graded test there were and you will get 78.
You add Lee's Grades for the test together and divide by the number of graded test there were and you will get 79.
The mean of Sara's reading test scores is 78, and the mean of Lee's reading test scores is 79.
To find the mean (average) score of Sara's and Lee's reading tests, we need to add up all of the scores and then divide by the number of scores.
Let's start with Sara's scores:
Sara's scores: 98, 100, 65, 78, 98, 46, 100, 100, 45, and 50.
Add up Sara's scores:98 + 100 + 65 + 78 + 98 + 46 + 100 + 100 + 45 + 50 = 780
Divide the total by the number of scores (which is 10):Mean of Sara’s scores = 780/10 =78
Now, let's calculate the mean for Lee's scores:
Lee's scores: 97, 67, 89, 99, 100, 45, 79, 89, 58, and 67.
Add up Lee's scores:97 + 67 + 89 + 99 + 100 + 45 + 79 + 89 + 58 + 67 = 790
Divide the total by the number of scores (which is 10):Mean of Lee’s scores = 790/10 = 79
So, the mean of Sara's reading test scores is 78, and the mean of Lee's reading test scores is 79.
I need help... i don't really understand this...
In 2000, the circulation of a local newspaper was 3,250. In 2001, its circulation was 3,640. In 2002, the circulation was 4,100. a. Find the percent of increase in the newspaper’s circulation from 2000 to 2001 and from 2001 to 2002. b. Which period had a higher percent of increase, 2000 to 2001, or 2001 to 2002?
The formula for percentage change is:
(New number - Original number) / Original number × 100 = Percentage change
(3640-3250)/3250 x 100 =
(390)/3250 x 100 =
.12 x 100 = 12%
(4100-3640)/3640 x 100 =
(460)/3640 x 100 =
.1263736264 x 100 = ~ 12.6%
2001 to 2002 had a higher percent of increase.
The percent of increase in the newspaper’s circulation from 2000 to 2001 and from 2001 to 2002 is 12% and 12.6% respectively
Given:
2000 = 3,250
2001 = 3,640
2002 = 4,100
Percentage change2000 to 2001 = (Difference in change) / old value × 100
= (3,640 - 3,250) / 3,250 × 100
= 390 / 3,250 × 100
= 0.12 × 100
= 12%
Percentage change 2001 to 2002 = (Difference in change) / old value × 100
= (4,100 - 3,640) / 3,640 × 100
= 460 / 3,640 × 100
= 0.126373626373626 × 100
= 12.63736263736263%
Approximately,
12.6%
Therefore, the period which had a higher percent of increase is 2001 to 2002
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HELP ASAP!! I have my Algebra EOC tomorrow and I need help on this question. Please explain!!! 30 POINTS
a parking garage charges $2.00 for the first hour and $0.50 for each fraction of an hour thereafter. Which statement describes the relationship between the parking fee and the amount of time a person parks in the garage? A. the parking fee depends on the amount of time a person uses the garage B. The amount of time a person uses the garage depends on the parking fee C. the parking fee and the amount of time a person uses the garage are independent D. the relationship cannot be determined
1)you can use any side as the__ of a triangle.
2)An ___ is a region blinded by an arc and the two radii to the arcs endpoints.
3)the distance from the center to a vertex is the ___ of a regular polygon.
4)two arcs of a circle with exactly one point in common are ___.
9) A triangle has legs measuring 5ft and 12ft, and hypotenuse measuring 13ft. What is the area?
13) is the picture above.
17) what is the area of a regular hexagon with a perimeter of 240cm?
I have more questions but will post separately because they are all pictures!!!!
Mary and her dad shared one dozen brownies 2/6 of them have nuts which dad doesn't eat how many brownies did dad not eat because they had nuts
which is a table of values for y = x - 12
Answer:
The second one
Step-by-step explanation:
-5 -17
-8 -20
-7 -19
What is the simplified form of square root 64x^16?
A. 8x^4
B. 8x^8
C. 32x^4
D. 32x^8
4. Rosa plays games at a fair. She can buy 8 game tokens for $ 1. Each game cost 2 tokens. How many games can she play with 120 tokens? Write a rule and complete the table.
Please help with the bottom one too
Answer:
60 tokens and the rule is the number of tokens divided by 2
20 cups of oats and the number of cups of raisins times 2
Rosa can play a total of 60 games with 120 tokens.
Explanation:To determine the number of games Rosa can play with 120 tokens, we need to divide the total number of tokens by the number of tokens required to play a game. Since each game costs 2 tokens, we divide 120 by 2. This gives us the number of games Rosa can play, which is 60.
We can also write a rule to calculate the number of games Rosa can play. Let G represent the number of games, and T represent the number of tokens. The rule would be: G = T ÷ 2. We can substitute T with 120 to find G: G = 120 ÷ 2 = 60.
Here is a table that shows the number of games Rosa can play for different numbers of tokens:
Number of Tokens
Number of Games
2
1
4
2
6
3
8
4
10
5
...
...
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The volume of a cube can be found using the equation V = s³, where V is the volume and s is the measure of one side of the cube. Match the equation for how to solve for the side length of a cube to its description. Drag the equation into the box to match the description.A cube has a volume of 756 in³.
Answer:
Step-by-step explanation:
The running back for the Bulldogs football team carried the ball 3 times for a total loss of 6 3/4 yards. Find the average change in field position on each run. Enter the average change as a simplified mixed number.
The average change in field position per run is -2 1/4 yards. This is found by dividing the total yardage lost (6 3/4 yards) by the number of runs (3).
Explanation:The subject of this problem is calculating the average. In this case, we are looking for the average yardage lost by the running back on each run. The running back for the Bulldogs football team has carried the ball 3 times for a total loss of 6 3/4 yards.
To find the average change in field position on each run, divide the total loss by the number of runs:
Convert the mixed number 6 3/4 to an improper fraction. This gives us 27/4. Divide the numerator (27) by the denominator (4). This gives us -6.75. Divide -6.75 by 3 (the number of runs). This gives us -2.25. Convert -2.25 to a mixed number, which gives us -2 1/4.
Therefore, -2 1/4 yards is the average change in field position on each run.
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