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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
Answers
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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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.
Answers
Big time movers worked 4 hours on New Year’s Day.
Show your work:
2.5 (12.75x +24.50) = 188.75
31.875x + 61.25 = 188.75
31.875x = 188.75 - 61.25
31.875x = 127.50
X = 127.50 / 31.875
X = 4....... 4 hours
Answer:
4 hours
Step-by-step explanation:
I did it on edg2020. Hope this helps
The line passing through the points (–2, 12) and (3, –23) intersects the line passing through which of these pairs of points?
Answers
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
Please help! Asap! (Photo)
Answers
Answer: 1 true 2 false
Step-by-step explanation: Sorry I’m kinda rusty if you get it wrong
Reggie can line a football field in 120 minutes. Rosalinda can line a football field in 80 minutes. If they work together, how many minutes does it take them to line a football field? (2 points) 40 minutes 48 minutes 200 minutes 240 minutes
Answers
Answer:
40?
Step-by-step explanation:
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.
Answers
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:
more easy math for points
Answers
Answer:
4096
Step-by-step explanation:
Math
What is the value of |4 X -3 + 9| plzzz hurry
Answers
Answer:
|4X + 6|
Step-by-step explanation:
Which of the following is a solution to the inequality - 2x +3>7 ?
Answers
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.
find the sequence of 12, - 88, - 188, - 288 ...
Answers
Answer:
-100 each time
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
Answers
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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Lin's father is paying for a $20 meal. He has a 15%-off coupon for the meal. After the discount, 1 7% sales tax is applied. What does Lin's father pay for the meal?
Answers
Answer:
19.89
Step-by-step explanation:
20 times .85= 17
17 times 1.17= 19.89
Answer:
$19.89
Step-by-step explanation:
first coupon.
x/20=15/100
20×15=300
300/100=3
20-3=17
then tax
x/17=17/100
17×17=289
289/100=2.89
2.89+17=19.89
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
Answers
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.
Help plz:))) I’ll mark u brainliest
Answers
Answer:
x=4
Step-by-step explanation:
checked my answer its right
PLEASE HELP:( asapp!!!!!!!! i’ll mark brainlest
Answers
Answer:
6 * 1/9
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
6/9 = 0.66666666666666666666666666666667
6 * 1/9 = 0.66666666666666666666666666666667
The quadrilateral is a parallelogram. Find the measures of angles 1, 2, and 3.
Answers
Answer:
2= 80 degrees
1= 100 degrees
3= 100 degrees
Step-by-step explanation:
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?
Answers
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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Ms. Smith has 50 pieces of candy. She gives Joe 30% of her candy. How many pieces does he get?
Answers
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.
please help me......
Answers
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
Pedro is a salesman for a department store. He earns a commission of 8.5% on his sales. If he sold $1,200 in merchandise, what would his total commission be?
Answers
Answer: $102
Step-by-step explanation:
From the question, we are informed that Pedro earns a commission of 8.5% on his sales and that he sold $1,200 in merchandise.
Therefore, his total commission will be:
= 8.5% × $1200
= 8.5/100 × $1200
= 0.085 × $1200
= $102
Which statement is true?
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[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.
Write the equation of the line in slope-intercept form that has: slope: -1 point: (2, -3) *
Answers
Answer:
y = -1x - 3
Step-by-step explanation:
y = mx + b
m = slope = -1
b = y-intercept = -3
Plug in
y = -1x - 3
Answer:
y = -x - 1
Step-by-step explanation:
Slope - Intercept form is y = mx + b
m = slope
b = y-intercept
We already have the slope of -1. Substitute it into the equation.
y = -x + b
To find b, substitute the given point (2, -3) into the equation.
-3 = -2 + b
b = -1
Substitute the value of b into the equation and you are left with:
y = -x - 1
Solve this to help me
Answers
Answer:
D
Step-by-step explanation:
Hope I helped
What is the volume of a sphere with a diameter of 2.2 ft, rounded to the nearest tenth
of a cubic foot?
Answers
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
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.
Answers
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
What does ∆y represent?
Answers
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:
Katie bought 2 soda at the baseball game if each soda cost $2.80 and she paid with a twenty dollar bill how much change should she get back
Answers
Answer:
$15.40
Step-by-step explanation:
2.80*2=5.60
20.00-5.60=15.40
lol I hope u have a good day read this guys answer
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?
Answers
Answer:
46
Step-by-step explanation:
If M<1=3x + 15 and m<2 = 6x + 3 , find x
Answers
3x = 12
x = 4
The x is 4.
Use the information given to enter an equation in standard form.
(7, 10) and (6,5) are on the line.