Answer: 13x + 6
Step-by-step explanation: combine like terms
A busy candy store is going to replace their current gumball machine
with a giant gumball machine. The globe on their current gumball
machine is 22" in diameter and its volume is 5,575 cubic inches.
Compared to what has been ordered, the current gumball machine's
volume is 532 cubic inches less than one-fourth the volume of the
globe of the giant gumball machine.
Use the information given to explore some of the mathematical concepts you have practiced so
far by answering the questions below. The formula for the volume of a sphere is .
1. Rewrite the formula for the volume of a sphere so that it is solved for r. Show all your work.
2. Use your answer to question 1 and the information given in the scenario to develop a plan
that you can use to solve for the volume of the globe on the new, giant gumball machine.
I’m
don't know if this is actually the answers but:
1.) V=4/3pi r^3
3V= 4pi r^3
3V/4pi = r^3
3√3V/4 pi = 3√r^3
Answer: r = 3√3V/4pi
2.) Answer: 1/4V - 532 = 4/3pi 22^3
The sphere is a three-dimensional figure where the volume is given as
= 4/3 x πr³
4/3 x πr³ = 5575
The radius of the current gumball is ∛(117075/88) inches
5575 = (1/4)V - 532
The volume of the giant gumball is 24428 cubic inches.
What is a sphere?It is a three-dimensional figure where the volume is given as
= 4/3 x πr³
We have,
Current gumball machine.
Diameter = 22 inches
Radius = 22/2 = 11 inches
Volume = 5,575 cubic inches
The volume can be written as,
4/3 x πr³ = 5575
4/3 x 22/7 x r³ = 5575
r³ = (5575 x 3 x 7) / (4 x 22)
r = ∛(117075/88) inches
Giant gumball machine.
Volume = V
5575 = (1/4)V - 532
(5575 + 532) x 4 = V
V = 24428 cubic inches.
Thus,
The radius of the current gumball is ∛(117075/88) inches
The volume of the giant gumball is 24428 cubic inches.
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What is the volume of a sphere with a diameter of 2.2 ft, rounded to the nearest tenth
of a cubic foot?
Answer:
V≈5.58ft³ d=2.2 ft
Step-by-step explanation:
V=4 3πr3
d=2r
Solving for V
V=1 6π d3 =1 6·π·2.23≈5.57528ft³
Hope this helps! :D
Answer:
5.6 ft
Step-by-step explanation:
\text{Volume of a Sphere:}
Volume of a Sphere:
V=\frac{4}{3}\pi r^3
V=
3
4
πr
3
\text{radius} = \frac{\text{diameter}}{2} = \frac{2.2}{2}=1.1
radius=
2
diameter
=
2
2.2
=1.1
feet
\text{Plug in:}
Plug in:
\frac{4}{3}\pi (1.1)^3
3
4
π(1.1)
3
5.57527976257
A cook has a scoop that measures ¼ cup. A bread recipe calls for 1 ¼ cups of sugar and 2 ½ cups of flour. The cook uses the scoop to measure and put both ingredients into a bowl. How many total scoops of both ingredients does the cook put into the bowl?
Given:
A cook has a scoop that measures [tex]dfrac{1}{4}[/tex] cup.
Required sugar for bread recipe = [tex]1\dfrac{1}{4}[/tex] cups
Required flour for bread recipe = [tex]2\dfrac{1}{2}[/tex] cups
To find:
The total number of scoops of both ingredients does the cook put into the bowl.
Solution:
Required amount of sugar and flour for the bread recipe is
[tex]=1\dfrac{1}{4}+2\dfrac{1}{2}[/tex]
[tex]=\dfrac{1\times 4+1}{4}+\dfrac{2\times 2+1}{2}[/tex]
[tex]=\dfrac{4+1}{4}+\dfrac{4+1}{2}[/tex]
[tex]=\dfrac{5}{4}+\dfrac{5}{2}[/tex]
Taking LCM, we get
[tex]=\dfrac{5+10}{4}[/tex]
[tex]=\dfrac{15}{4}[/tex]
Now,
[tex]\text{Number of scoops}=\dfrac{\text{Total amount of sugar and flour}}{\dfrac{1}{4}}[/tex]
[tex]\text{Number of scoops}=\dfrac{\dfrac{15}{4}}{\dfrac{1}{4}}[/tex]
[tex]\text{Number of scoops}=\dfrac{15}{4}\times \dfrac{4}{1}[/tex]
[tex]\text{Number of scoops}=15[/tex]
Therefore, the required number of scoops is 15.
more easy math for points
Answer:
4096
Step-by-step explanation:
Math
Which of the following is a solution to the inequality - 2x +3>7 ?
Answer:
the solution is x<-2
.
Step-by-step explanation:
each time you multiply both sides with a negative number or if you divide both sides by a negative number, you need to "turn" the greater/less sign, so, transform
<
into
>
and vice versa
if you flip the sides of the equation, you also need to "turn" the greater/less sign.
Which statement is true?
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Symmetry,
Option A.) is correct,
=> N has only the Rotational Symmetry.
A truck is carrying 102 bushels of onions, 101 bushels of peaches, and 103 bushels of corn. What is the total weight of the crops?
Answer:
306 is the answer for the question
The total weight of the crops is 304 bushels.
What is addition?Addition is the process of adding two or more numbers together to get their sum. Addition in math is a primary arithmetic operation, used for calculating the sum of two or more numbers.
Now it is given that,
Weight of onions = 102 bushels
Weight of peaches = 101 bushels
Weight of corn = 103 bushels
Total weight of crops = Weight of onions + Weight of peaches + Weight of corn
⇒ Total weight of crops = 102 bushels + 101 bushels + 103 bushels
⇒ Total weight of crops = 304 bushels
Thus, he total weight of the crops is 304 bushels.
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PLEASE HELP:( asapp!!!!!!!! i’ll mark brainlest
Answer:
6 * 1/9
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
6/9 = 0.66666666666666666666666666666667
6 * 1/9 = 0.66666666666666666666666666666667
Big Time Movers charges an initial fee of $24.50, plus $12.75 an hour for their moving services. On holidays, they charge 2.5 times their regular total amount. If they made $188.75 on a job on New Year’s Day, how many hours did they work?
This equation represents the data:
2.5(12.75x + 24.50) = 188.75
Big Time Movers worked ________ hours on New Year’s Day.
Answer:
4 hours
Step-by-step explanation:
I did it on edg2020. Hope this helps
Please help! Asap! (Photo)
Answer: 1 true 2 false
Step-by-step explanation: Sorry I’m kinda rusty if you get it wrong
Find an equation relating x and y
Answer:
(3,3) is a 3rd of (6,9)
Step-by-step explanation:
If M<1=3x + 15 and m<2 = 6x + 3 , find x
Help plz:))) I’ll mark u brainliest
Answer:
x=4
Step-by-step explanation:
checked my answer its right
The table below represents the number of math problems Jana completed as a function of the number of minutes since she began doing her homework. Does this situation represent a linear or non-linear function, and why?
Jana’s Math Homework Progress
Minutes
Math Problems Completed
1
3
2
7
3
12
4
16
5
19
It represents a linear function because there is a constant rate of change.
It represents a linear function because there is not a constant rate of change.
It represents a non-linear function because there is a constant rate of change.
It represents a non-linear function because there is not a constant rate of change.
Answer:
Its D It represents a non-linear function because there is not a constant rate of change.
Step-by-step explanation:
I got then answer from Edge
Answer:
D.) It represents a non-linear function because there is not a constant rate of change.
Step-by-step explanation:
Ms. Smith has 50 pieces of candy. She gives Joe 30% of her candy. How many pieces does he get?
Answer:
15 pieces :)
Step-by-step explanation: 30 percent of 50 is 15
Answer:
35 pieces of candy.
Step-by-step explanation:
30 percent of 50 is 15. 50 minus 15 is 35.
find the sequence of 12, - 88, - 188, - 288 ...
Answer:
-100 each time
Step-by-step explanation:
When y= 234, x= 18. Find the value of x when y= 91.
A. 12.75
B. 4.9
C. 7
D. 33.4
F. 13
Answer:
C
Step-by-step explanation:
Hey! So first divide 234 by 18 to find a ratio. You would get 13:1. So apply this to y=91. 91/13 is 7.
One California fan palm tree grew 51 inches in 3 years. A queen palm tree grew 48 inches in 4 years. Which tree grew faster? Complete the explanation. The growth rate of the California fan palm is what inches per year and the queen palm's growth rate is what inches per year. So, the what grew faster.
Answer:
Queen palm tree grew faster than the California fan palm tree
Step-by-step explanation:
One California fan palm tree grows 51 inches in 3 years
Rate = 51/3 = 17 inches/year
A queen palm tree grows 48 inches in 4 years
Rate = 48/4 = 12inches/year
Clearly the Queen palm tree grew faster than the California fan palm tree as Queen palm tree grows 12inches/year than California Fan palm tree 17 inches/year .
Answer:
the california fan palm
Step-by-step explanation:
you have to know which tree grew faster so you have to know how many inches they grow per year so you have to...
divide 51 by 3 and the answer is 17 inches per year
and divide 48 by 4 and the answer is 12 inches per year
so 17 is greater than 12
The north pole is in the middle of the ocean. A person at sea level at the north pole would be 3,949 miles from the center of Earth. The sea floor below the north pole is at an elevation of approximately -2.7 miles. The elevation of the south pole is about 1.7 miles. How far is a person standing on the south pole from a submarine at the sea floor below the north pole?
Answer:
I LOVE YOU
Step-by-step explanation:
Marla owes her sister $15. She pays her $6 today. Which integer represents the amount of debt she has remaining?
Answer:
The integer that represents the amount of debt she has remaining is $9
Step-by-step explanation:
$15 - $6 = $9
Solve this to help me
Answer:
D
Step-by-step explanation:
Hope I helped
The line passing through the points (–2, 12) and (3, –23) intersects the line passing through which of these pairs of points?
Answer:
The equation is -7x - 2
Step-by-step explanation:
Since it is 5 apart and goes down 35 dividing y 5 you'd get 7 and since it points down it's a negative
What does ∆y represent?
Answer:
∆ stands for \vartriangle a example of this is A ∆ B (or A ⊖ B) means the set of elements in exactly one of A or B. or {1,5,6,8} ∆ {2,5,8} = {1,2,6} thats all I have for you sorry if this doesn't help
Step-by-step explanation:
The quadrilateral is a parallelogram. Find the measures of angles 1, 2, and 3.
Answer:
2= 80 degrees
1= 100 degrees
3= 100 degrees
Step-by-step explanation:
A warehouse received a shipment of 368 bicycles. Each bicycle is in a large box. The boxes are stored in 8 rows. How many boxes are in each row?
Answer:
46
Step-by-step explanation:
A runner's racecourse has a total distance of . Race officials want to mark the course every with a flag, including one at the finish line. (The starting line does not need a flag.) How many flags are needed? First fill in the blanks on the left side of the equation using three of the ratios shown. Then write your answer on the right side of the equation.
Complete question :
A runner's racecourse has a total distance of 2.5 mi. Race officials want to mark the course every 200 yd with a flag, including one at the finish line. (The starting line does not need a flag. How many flags are needed?
Answer:
22 flags
Step-by-step explanation:
Given that total distance = 2.5 miles
Marked distance = every 200 yards
Ratio of yard to miles:
1 mile = 1760 yards
Total distance in yards :
Note :
1 mile = 5280 feet
1 yard = 3 feet
Given that:
1 flag per 200 yards
Number of flags :
2.5 miles * (5280 / 1 ) * (1 /3) * (1 / 200) = 22 flags
Similarly ;
Since 1 mile = 1760 yards
Total distance in yards : (2.5 * 1760) = 4400 yards
Number of flags :
Total distance in yards / marked distance
= 4400 / 200
= 22 flags
please help me......
Step-by-step explanation:
Data given
(1,3), (2, 6), (3, 12), (4, 24)
Using the range as sequence
3, 6, 12, 24
Part A
The data is displaying a geometric sequence as each term is rising twice, so the common ratio is 2
Part B
Recursive formula
t₁ = 3
tₙ = 3*2ⁿ
t₅ =3*2⁵ = 3*32 = 96 minutes
Part C
Explicit formula
t(n) = 3*2ⁿ
t(9) = 3*2⁹ = 3*512 = 1536 minutes
What is the value of |4 X -3 + 9| plzzz hurry
Answer:
|4X + 6|
Step-by-step explanation:
Select the function that represents a geometric sequence.
O A. A(n) = P(1 + i)n - 1, where n is a positive integer
O B. A(n) = P+(n-1)i• P, where is any real number
O C. A(n) = P(1 + i)n - 1, where n is an real number
O D. A(n) = P + (n-1)i• P, where n is a positive integer
A geometric series is the collection of an unlimited number of terms with a fixed ratio between them. The correct option is A.
What is geometrical series?A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.
An geometric series is a series where the ratio of any two consecutive term is the same. Therefore, the nth term of a geometric series is given as,
[tex]a_n = a_1 \times r^{(n-1)}\\\\A(n) = P(1+i)^{n-1}[/tex]
Hence, the correct option is A.
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simplify these like terms please 1-1-1+5x
Answer:
5x - 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Combining like termsStep-by-step explanation:
Step 1: Define expression
1 - 1 - 1 + 5x
Step 2: Simplify
Subtract: -1 + 5xRewrite: 5x - 1And we have our final answer!
Answer: -1 + 5x
Step-by-step explanation: you have to simplify hope you understand