Mathematics College

A round balloon has a diameter of 7 inches
Which of the following is closest to the number of
cubic inches of air can it hold?
A) 181 in
B) 189 in
C) 196 in
D) 208 in
E) 210 in
None of the above
+3

A Round Balloon Has A Diameter Of 7 InchesWhich Of The Following Is Closest To The Number Ofcubic Inches

Answers

Answer 1

Answer:

The right answer is approximately 210.031 cubic inches. (Answer: E)

Step-by-step explanation:

First, we need to convert the diameter ([tex]D[/tex]), in inches, of the round balloon to an entirely decimal mode:

[tex]D = 7\,in + \frac{3}{8}\,in[/tex]

[tex]D = \frac{56 + 3}{8}\,in[/tex]

[tex]D = \frac{59}{8}\,in[/tex]

[tex]D \approx 7.375\,in[/tex]

The volume of the balloon is modelled after the volume function of a sphere ([tex]V[/tex]), in cubic inches:

[tex]V = \frac{\pi}{6}\cdot D^{3}[/tex] (1)

If we know that [tex]D \approx 7.375\,in[/tex], then the volume of the round balloon is:

[tex]V = \frac{\pi}{6}\cdot D^{3}[/tex]

[tex]V = \frac{\pi}{6} \cdot (7.375\,in)^{3}[/tex]

[tex]V \approx 210.031\,in^{3}[/tex]

Hence, the right answer is approximately 210.031 cubic inches.

Related Questions

Madison is preparing rice for 10 dinner guests. Each guest
eats Ģ of a cup of rice.
How many cups of rice does Madison need?

Answers

Answer:

door Sai so Lally shall icb kiddo do you have any questions

Step-by-step explanation:

ok CV bjf

someone help me answer this

Answers

Answer:

51cm is the answer.

Step-by-step explanation:

a = ?

b = 68cm

c = 85cm

According to the Pythagoras theorem,

a² + b² = c²

a² + 68² = 85²

a² + 4624 = 7225

a² = 7225 - 4624

a² = 2601

a = 51cm

∴ the porch is 51cm tall.

Jon makes a map of his neighborhood for a presentation. The scale of his map is 1 inch:125 feet, however Jon realizes that his map is far too small. He decides to make his map 5 times as large. What would be the new scale to the larger map?

Answers

500 ft 125x 4 your welcome

What is the solution to
−12x≤−72

Answers

solution is x > 6
hope it helps

The method of tree ring dating gave the following years A.D. for an archaeological excavation site. Assume that the population of x values has an approximately normal distribution. 1271 1187 1194 1250 1268 1316 1275 1317 1275 (a) Use a calculator with mean and standard deviation keys to find the sample mean year x and sample standard deviation s. (Round your answers to the nearest whole number.)

Answers

Answer:

The sample mean year is 1261 A.D.

The standard standard deviation is of 46 A.D.

Step-by-step explanation:

Sample mean:

Sum of all values divided by the number of values. So

[tex]x = \frac{1271+1187+1194+1250+1268+1316+1275+1317+1275}{9} = 1261.4[/tex]

Rounding to the nearest whole number, the sample mean year is 1261 A.D.

Sample standard deviation:

Square root of the sum of the difference squared between each value and the mean, divided by one less than the sample size. So

[tex]s = \sqrt{\frac{(1271-1261.4)^2+(1187-1261.4)^2+(1194-1261.4)^2+(1250-1261.4)^2+(1268-1261.4)^2+(1316-1261.4)^2+(1275-1261.4)^2+(1317-1261.4)^2+(1275-1261.4)^2}{8}} = 45.8[/tex]

Rounding to the nearest whole number, the standard standard deviation year is of 46 A.D.

Marco is turning the expression (x-4)^2 into a trinomial. He writes down what is shown below. What is his error?

Answers

(x-4)(x-4)
=x^2-4x-4x+16
=x^2-8x+16
it’s +16, not negative. he forgot that when you add two negatives together, it becomes positive.

Answer:

Step-by-step explanation:

first, let's solve the equation ourselves.

(x-4)^2= (x-4)(x-4)= x^2−8x+16

now, we can see what's different about the two.

we can say that Marco's answer had the number 16 as a negative, when it was supposed to be positive. Marco wrote the incorrect sign.

9 ≥ 3b can someone help me out please?

Answers

Answer: b≤3

Step-by-step explanation:

Answer:

3 ≥ b

Step-by-step explanation:

You need to work this out like an algebraic equation

So think of it like this...

9 = 3b

9/3 = 3b/3

3=b

Add the symbol back into the equation

And you get: 3 ≥ b

Find the value of x.
PLEASE HELP

Answers

To find the value of X bring the variable to the left side and bring all remaining variables to the right side simplify the values to find the result

help out brainliest.

Answers

I can't read the question.

What is the quotient? 2y2-6y-20/4y+12

Answers

Answer:

last 4rd

Step-by-step explanation:

10+(2x3)^2 divied by 4x1/2^3

Answers

Answer:

11.125

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

please mark this answer as brainlest

Which electrician would be cheaper to hire for 3 hours? 8 hours? Why

Electrician A charges $35 per hour and a $100 consultation fee.
Electrician B charges $40 per hour and a $70 consultation fee.

Answers

Answer:

3 hour: electrician B because you would save $15

8 hour: electrician A because you would save $10

Step-by-step explanation:

35×3+100=205 vs 40×3+70=190

b is 15 dollars less

35×8+100=380 vs 40×3+70=390

a is 10 dollars less

What happens when you add two numbers that are opposites?
Example:
[tex] - 33 + - 37[/tex]
​

Answers

-70
Some actually if it were y=mx+b then it would be the opposite. It would turn positive but I don’t think this one turns like that. I think it’s just -70

Cory has $24 more than twice as much as Stan. Together they have $150. How much money dose each have ?

Answers

Answer:

99 and 51

Step-by-step explanation:

The problem would be shown as:
2x+24 + x = 150

x is the amount of money Stan has.

Do the math and X=42. Then Plug everything in:

The answer is Cory has $108, Stan has $42.

please solve below !!

Answers

Answer:

square root of 113 or 10.6

Step-by-step explanation:

7^2+ 8^2= C

49+64=C

113=C

square root of 113 OR 10.6

Hope this helped :)

Answer:

The answer is: 10.63

Step-by-step explanation:

7^2+8^2=c^2

113=c^2

sqrt113

10.63

can i get brainliest

Tom received $250 in tips, working as a waiter for 5 days. How much could he have gotten in tips each of the 5 days he worked?​

Answers

Answer:

$50.

Step-by-step explanation:

To find your answer, divide 250 by 5.

250/5 = 50.

You can use inverse operation to check your answer.

50⋅5 = 250.

Therefore, Tom got $50 each day.

Find m Measure of angle A =

Answers

Answer:

a = 104

Step-by-step explanation:

a = 104 because it is an inscribed angle with an arc of 208 degrees

Solve for x
A) 2
B) -10
C) 7
D) -3

Answers

X is -10
I hope it will help u
Brainliest pls

Answer:

-10

Step-by-step explanation:

corresponding angles.

hope the image attached helps

thank you

What is the length from Alaska to Chicago times 5 divided by 3?

Answers

Answer:

14302 miles

Step-by-step explanation:

from alaska to chicago it is 2861 mi.

2861 times 5

that divdied by three is 14302

About 9% of men have red-green color blindness. If three men are selected at random, what is the probability that two will be color blind and one will not be color blind?

Answers

Answer: The answer is 0.81 %

Step-by-step explanation:

5) True or False: Absolute Value can never be negative * O True False​

Answers

Answer:

True

Step-by-step explanation:

Absolute value tells the distance a number is from 0.

[tex]|7|=7[/tex] because 7 is 7 units away from 0.

[tex]|-13|=13[/tex] because -13 is 13 units away from 0.

[tex]|0|=0[/tex] because 0 is 0 units away from 0

Absolute value always produces a number greater than or equal to 0, never negative.

One school bus can hold 46 students. There are 29 students in each of the 5 fifth-grade classes. How many buses will they need in order to transport everyone to the zoo for a field trip?

Answers

29x 5 is 145 students
Divide by 46 answer is 4 buses

Answer:

4

Step-by-step explanation:

29x5=145

= 145 (divided) 46= 3.15...

4 buses

Please answer or give the steps to answer please please please this is my state test and i can’t fail

Answers

Answer:

1. 466.3ft

2. 12.1m

Step-by-step explanation:

1.

Imagine this as a triangle like shown in pic attached, then use tan to find 'x', the distance between the base of the tower and the fire:

tanA=opposite/adjacent

tan25=x/1000

x=100tan25

x=466.3ft

2.

Imagine this as a triangle like shown in pic attached, then use sine to find 'x', the kite's vertical height above the boy's hand:

sinA=opposite/hypotenuse

sin12=x/50

x=50sin12

x=10.4m

The kite's height off the ground is this plus the height of the boy's hand from the ground: 10.4+1.7=12.1m

which exprssion can we use to convert 40 ounces to pouds

Answers

Answer:

2.5

Step-by-step explanation:

40 ounces = 2 12 pounds

So, 40 ounces = 4016 = 2 12 or 2.5 pounds.

Hope this helps and sorry if it doesn't

Can I get brainliest

To covert any value in ounces to pounds, just multiply the value in ounces by the conversion factor.

Hope this helps :)

Is the first one correct and what are the ages? Thanks

Answers

Answer:

a = 30°

Step-by-step explanation:

We need to find the value of a.

We know that, a straight line makes an angle of 180°.

In this case,

a+3a+2a = 180

6a = 180

a = 30°

So, the value of a is equal to 30°.

Which of the following lists of fractions are in order from least to greatest? Select TWO that apply.
A.
1/4 2/3 3/10

B.
3/5 7/10 5/6

C.
2/5 5/8 3/4

D.
3/8 9/10 7/12


HELP

Answers

Answer:

i think its a 1/4 then 2/3 and 3/10

I’m sure it is 1/4 2/3 3/10 I don’t know the second though. Have a great day good luck

The diameter of a cake is 7.8 inches. What is the area of the cake?

Answers

A = πr^2
The radius is half of the diameter.
r = 7.8 / 2
r = 3.9

A = π(3.9)^2
A ≈ 47.78

Answer:

A = 12.25 sq inches

Step-by-step explanation:

A = (7.8/2)²π

A = 3.9²π

A = 12.25 sq inches

GPA vs. IQ
Predict the GPA for someone with an IQ of 100.
tu
4
35
y = 0.04% -0,8
3
.
25
GPA
2
15
1
05
20
40
80
100
120
60
IQ

Answers

Pretty sure its 3.2.......

Answer:

3

Step-by-step explanation:

edge 2021

(1/6)^p = 36^3 x 6^18. What is the value of p?

Answers

Answer:

Step-by-step explanation:

(1/6)^p=36^3×6^18

[tex](\frac{1}{6}) ^p=(6^2)^3 \times 6^{18}\\\frac{1}{6^p} =6^{2 \times 3} \times 6^ {18}\\6^{-p}=6^6 \times 6^{18}\\=6^{6+18}\\=6^{24}\\-p=24\\p=-24[/tex]


Which one of the following U.S. customary units is closest in volume to I liter?

Answers

Answer:

c

Step-by-step explanation:

Quart is one of the following U.S. customary units is closest in volume to 1 liter. Option D is correct.

What is volume?

The term "volume" refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.

The relation between the quart and the liter is found as;

1 quarts = 0.94635295 liters

The value in liter is approximately equal to 1. Quart is one of the following U.S. customary units is closest in volume to 1 liter.

Hence,option D is correct.

To learn more about the volume refer:

https://brainly.com/question/1578538

#SPJ2

Other Questions
Espanol/Spanish speakers needed (Image is attached below) Please don't answer if you don't know. Thanks. Hey i need help with this Sophia babysits for $15 per hour. She mows lawns for $12 per hour.This weekend, Sophia babysits 4 more hours than she mows lawns.She earns a total of $195. Write a system of equations that can be usedto find how many hours she worked at each job.Let b be hours babysitting. Let m be hours mowing.b=m+ 4hours worked15b + 12m = 195 total money earned (please help me with both parts) Pick me chose me love me NOW HELP ME WITH MATH 2(3v - 8) please help xxxxxxxxxxxxxxxxxxxxxxxxxx A line with a slope of 5 passes through the point (1,9). What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form. PLEASE HELP ASAP!!What is the value of x?Enter your answer in the box. please please help me (the number in the photo is 20 and then the letter is x)(also if you can pls go to my profile and answer the question underneath this one) can someone help me solve this please? A philosophy professor assigns letter grades on a test according to the following scheme. A: Top 10% of scores B: Scores below the top 10% and above the bottom 58% C: Scores below the top 42% and above the bottom 20% D: Scores below the top 80% and above the bottom 9% F: Bottom 9% of scores Scores on the test are normally distributed with a mean of 67.3 and a standard deviation of 7.3. Find the numerical limits for a D grade. Round your answers to the nearest whole number, if necessary. What is an Unrestricted Submarine Warfare? A sample of 1.00 moles of oxygen at 50C and 98.6 kPa, occupies what volume? 5% of a number is 27. 1 %of the same number is 5.4 work out 14% of the number. Factor out the Greatest Common Factor (GCF): 36y - 16 ? Fatuma invests a total of $22,000 in two accounts. The first account earned a rate of return of 15% (after a year). However, the second account suffered a 7% loss in the same time period. At the end of one year, the total amount of money gained was $110.00. How much was invested into each account 1. Demain, s'il fait beau papa ___ le chien. (wash)2. Est-ce que tu ____avec moi demain au cinma? (come)3. Est-ce que ils nous____ leur fte? (invite) Which of the boys successfully spears the wild boar before it finally falls out I will give brainiest hurry plz where did slaves get shipped from. please i really need help. dont spam i just really need help In what ways could the Black Death have led to improvements in health in surviving populations????????