Answer:
72 spheres are formed
Step-by-step explanation:
We start by calculating the volume of the metallic cylinder
Mathematically, we have this as;
V = pi * r^2 * h
V = pi * 21 * 14^2
V = 4116 π cm^3
The volume of each small sphere is;
V = 4/3 * pi * r^3
= 4/3 * π * 7/2^3 = 57.167 π cm^3
To get the number of small spheres, we simply divide the volumes
That will be 4116 pi / 57.167 pi = 72
5 rate?? my brother doesn't want to helpx me someone help?]'
Answer:
-5/2 is the reciprocal of -2/5, but the opposite would just be 5/2.
Step-by-step explanation:
Answer:
yes the answer is yes i think im not good at explaing but hope that helps
Step-by-step explanation:
PLEASE HELP MEEEE 28 POINTS!!!!
A. Find an equation in point-slope form for the line having the slope m = 6 and containing the points (7,2)
B. Find an equation in point-slope form for the line having the slope m=-4 and containing the point (1,9).
Answer:
Part A)
An equation in point-slope form for the line having the slope m = 6 and containing the point (7,2).
[tex]y - 2 = 6(x-7)[/tex]
Part B)
An equation in point-slope form for the line having the slope m = -4 and containing the point (1, 9).
[tex]y - 9 = -4(x-1)[/tex]
Step-by-step explanation:
Part A)
Given
Slope m = 6
Point (7, 2)
To Determine
Find an equation in point-slope form for the line having the slope m = 6 and containing the point (7,2).
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointIn our case:
m = 6(x₁, y₁) = (7, 2)substituting the values m = 6 and the point (x₁, y₁) = (7, 2) in the point-slope form of line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 2 = 6(x-7)[/tex]
Therefore, an equation in point-slope form for the line having the slope m = 6 and containing the point (7,2).
[tex]y - 2 = 6(x-7)[/tex]
Part B)
Given
Slope m = -4
Point (1, 9)
To Determine
Find an equation in point-slope form for the line having the slope m = -4 and containing the point (1, 9).
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where
m is the slope of the line(x₁, y₁) is the pointIn our case:
m = -4(x₁, y₁) = (1, 9)substituting the values m = -4 and the point (x₁, y₁) = (1, 9) in the point-slope form of line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 9 = -4(x-1)[/tex]
Therefore, an equation in point-slope form for the line having the slope m = -4 and containing the point (1, 9).
[tex]y - 9 = -4(x-1)[/tex]
The answer is:
1) y - 2 = 6(x - 7)
2) y - 9 = -4(x - 1)
Work/explanation:
The point slope formula is:
[tex]\bf{y-y_1=m(x-x_1)}[/tex]
where m = slope;
(x₁, y₁) is a point on the line.
For this problem, m = 6 and the point is (7,2).
Plug in the data:
[tex]\bf{y-2=6(x-7)}[/tex]
__________________
For this problem, m = -4 and the point is (1,9).
Plug in the data:
[tex]\bf{y-9=-4(x-1)}[/tex]
Hence, these are the equations.
please help will mark brainliest
Sinah bought some packs of gum. There were 8 sticks of gum in each pack. She gave 12 sticks of gum to manuela. This left sinah with 28 sticks of gum. Which equation can be used to represent this situation where g is the number of packs of gum that sinah bought?
Answer:
8g = 12 + 28
g = 5 packs
Step-by-step explanation:
Share of the sticks of gum
Manuela = 12 sticks
Sinah = 28 sticks
There are 8 sticks in each pack
g = number of packs of gum that sinah bought?
g × 8 sticks = 12 sticks + 28 sticks
8g = 40
Divide both sides by 8
g = 40 / 8
g = 5 packs
An amusement park sold 35 discount tickets and 15 full price tickets. What percentage of the tickets sold or discount tickets?
Answer:
70%
Step-by-step explanation:
nine over twelve equals fifteen over n
A. 18
B. 20
C. 22
D. 17
Answer:
[tex]\frac{9}{12} = \frac{15}{y} \\(12 * 15) / 9 = 20\\B) 20[/tex]
Step-by-step explanation:
Gordon rolls a fair dice 162 times.
How many times would Gordon expect to roll an even number?
Answer:
hmm.........................
Answer:
64
Step-by-step explanation:
Rectangular tiles, which measures 8 by 6 ,are arranged without overlaping ,to create a square ,The minimum number of these tiles needed to make a square is
Answer:
24
Step-by-step explanation:
To obtain the minimum number fi tiles needed;
We find the Lowest common multiple of 8 and 6
Multiples of :
6 = 6, 12, 18, 24, 30, 36, 42, 48,...
8 = 8, 16, 24, 32, 40, 48, 56,...
Hence, the lowest common multiple of 8 and 6 is 24
Answer:
its B
Step-by-step explanation:
The formula for the volume of a rectangular prism is V = lwh. What is the formula when solved for w?
Answer:
w=V/Ih
Step-by-step explanation:
The formula for the volume of a rectangular prism is given as V = lwh.
✓ we are required to solve for "w" and this can be done by making "w" subject of the formula.
w=V/Ih
Hence, formula for " w" is w=V/Ih
(-2, 4) and (3, -1)
Write equation in slope intercept form
Answer: y=-x+2
Step-by-step explanation:
m=(-1-4)/(3+2)=-5/5=-1
y=-x+b
Plug in the values
y=-x+2
Answer:
y = − x + 2
Step-by-step explanation:
8. What is the greatest common factor
of 42 and 70?
Answer:
The answer is 14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
what one is a linear function
Answer:
C
Step-by-step explanation:
A linear function will have a constant rate of change. The rate of change (or slope) for C is -3. All the other graphs do not have a constant rate of change. As in the difference between each value was different.
How many solutions does 6 -3x = 12 - 6x have?
A. Two solutions
B. No solutions
C. Infinitely many solutions
D. One solution
Answer:
D. One solution
Step-by-step explanation:
Simplify:
[tex]6-3x = 12-6x\\-3x+6x = 12-6\\3x = 6\\x = 2[/tex]
There is only one solution (x=2) that satisfy the equation.
What is the greatest common factor of 18 and 24? A. 6 B. 8 C. 9 D. 18
Answer:
6
Step-by-step explanation:
($+$-_;$+(2){©[=¥{¥}¶¥¶^
Answer:
A) 6
Step-by-step explanation:
HELP PLEASE WILL GIVE BRAINLIEST!!!
Solve this system of equations using substitution. x=4 3x−y=−1
Answer:
y=13
Step-by-step explanation:
12-y=-1
-y=-13
y=13
Answer:
Step-by-step explanation:
Here you go mate
Step 1
x=4
Step 2
3x-y=-1 Substitute 4 for x
(3)(4)-y=-1
-y=-13
Step 3
-y=-13 Divide both sides
answer
y=13
Aimee and Stan work in the same department for a large corporation. They are curious about the proportion of their coworkers who have children. Aimee obtains a list of all the workers in the department, randomly picks 20 names from the list, and asks those coworkers if they have children. She finds that 72% of those surveyed have children. Stan waits in the break room one morning and asks the first 20 coworkers that pass by if they have children. He finds that 85% of those surveyed have children. Which result is the better estimate of the proportion of coworkers who have children?
Neither result is a good estimate.
85%
72%
Both results are equally good estimates.
Answer:
I think 40 percent
Step-by-step explanation:
geometry help please explain no graph
Mr. Silverstone invested some money in 3 different investment products. The investment was as follows:
a. The interest rate of the annuity was 4%.
b. The interest rate of the annuity was 6%.
c. The interest rate of the bond was 5%.
d. The interest earned from all three investments together was $950.
Which linear equation shows interest earned from each investment if the total was $950?
a.) a + b + c = 950
b.) 0.04a + 0.06b + 0.05c = 9.50
c.) 0.04a + 0.06b + 0.05c = 950
d.) 4a + 6b + 5c = 950
Answer: c.) 0.04a + 0.06b + 0.05c = 950
Step-by-step explanation:
To find interest per investment you need to multiply the percentage interest rate by the value of the investment.
When written in linear equations, percentages are converted to decimal form.
4% = 1/100 = 0.04
6% = 6/100 = 0.06
5% = 5/100 = 0.05
These are the interest rates that when multiplied by their investments, will give a total of $950.
0.04 * a + 0.06 * b + 0.05 * c = 950
0.04a + 0.06b + 0.05c = 950
Option c is therefore correct.
is this triangle congruent?
Answer:
yes, the triangle is congruent because they all have the same three sides on each.
Sheleah and her family are planning a trip from Los Angeles, California to Melbourne, Australia. While booking her family's plane tickets, she notices on the itinerary that the airline is offering a sixteen hour straight flight from Los Angeles to Melbourne on a Boeing 747-8 Intercontinental Jet. In an effort to learn more about the capabilities of the Jet, Sheleah does a little research and stumbles upon the following graph and facts about the Jet's gasoline consumption.
GRAPH IN SCREENSHOT
The Boeing 747-8 Intercontinental Jet can carry approximately 422,000 gallons of gasoline, making it possible for the jet to travel 14,430 kilometers before needing to refuel.
Using the graph, approximate the Jet's average gas consumption, in gallons per hour, during the sixteen hour flight from Los Angeles, California to Melbourne, Australia. In your final answer, include all of your calculations.
26375
On the graph, it tells you how much fuel is left after 2 hours of the journey.
If we take 422,000 and subtract 369,250 from it we get 52,750. However, this is how much gas is used in 2 hours, so to find one hour we need to divide by 2, getting us 26,375.
Therefore, the Jet uses 26,375 gallons per hour during the 16 hour trip from Los Angeles, CA to Melbourne, Australia.
The weight of a giant panda is 10 times the weight of a red panda. The combined weight of the pandas is 220 pounds. What is the weight of each panda?
Answer:
The weight of a giant panda = x = 200 pounds
The weight of a red panda = y = 20 pounds
Step-by-step explanation:
Let
The weight of a giant panda = x
The weight of a red panda = y
The weight of a giant panda is 10 times the weight of a red panda.
x = 10y
The combined weight of the pandas is 220 pounds.
x + y = 220
We substitute 10 y for x
10y + y = 220
11y = 220
y = 220/11
y = 20 pounds
Solving for x
x = 10y
x = 10 × 20
x = 220 pounds
Hence:
The weight of each panda is:
The weight of a giant panda = x = 200 pounds
The weight of a red panda = y = 20 pounds
Answer:
maek them brainliest
Step-by-step explanation:
please
good day
If the original quantity is 15 and the new quantity is 19, estimate the percent change.
Which of these is the best estimate for the percent change?
OA. 25% decrease
OB. 25% increase
OC. 5% increase
OD. 5% decrease
Answer:
25% increase
Step-by-step explanation:
A boat leaves the dock and travels 10 miles due south, then 24 miles due west. how far is the boat from the dock? pls help!
Answer:
I think it's A
Step-by-step explanation:
Subtract 24-10 and it leaves you with 14
help pls i promise this one isnt that hard
Answer:
96 :)
Step-by-step explanation:
Answer:
96
Step-by-step explanation:
Make 240 into a decimal (2.4), then multiply it by 40 and you get 96!
I hope this helps and have a great day! :)
27 minus 9X +15 Y please
27 - 9x +15y
Factor out common term 3 :
3(9-3x+5y)
hope this helps!
Answer:
3(9-3x+5y)
Step-by-step explanation:
1. A school has 400 students. They all come to school by bus, and each bus carries the same number of students. How many students might there be on each bus if each hold only 50 children?
Answer:
8
Step-by-step explanation:
400 divided by 50 is 8
Answer:50
there are 400 students and a bus can hold 50 so you divide 400 by 50 which is equel to 8
so about 50 kids if all the kids go on the bus
Subtract -7x + 6 from -2x^2 + 9x - 2
Answer:
[tex]( - 2 {x}^{2} + 9x - 2) - ( - 7x + 6) \\ = - 2 {x}^{2} + (9 + 7)x + ( - 2 - 6) \\ = - 2 {x}^{2} + 16x - 8[/tex]
Your middle school has 900 students. 1/3 of students bring their lunch instead of buying lunch at school. How many students do and do not bring their lunch?
Answer:
2/3
Step-by-step explanation:
If 1/3 of students bring their lunch to school then 2/3 of students dont
Answer:
300 brought lunch
600 did not bring lunch
Step-by-step explanation:
1/3 of 900 = 300
Simplify the expression 53 × 5-^5.
Answer:
i believe its 260
Step-by-step explanation:
sorry if its wrong
Answer:
Step-by-step explanation:
Hope this Helps ;)