admin

2 months ago

Guest #9501

2 months ago

The** ratio** of the** current volume** of the balloon to the **original volume **of the balloon is 8.

The** volume **of a** sphere** is given by** (4\3)πr³** where r is the** radius **of the sphere.

The** initial **volume of the balloon =

The** initial** volume of the balloon =

Radius of the balloon** after** first breath = 2+1 =3cm

The Radius of the balloon** after **the **second **breath = 2+2=4cm

So, the** new volume **of the balloon =

The** new volume **of the balloon =

The ratio of** new volum**e to the** initial volume** =

The ratio of** new volume** to the** initial volume** =8

Hence, the** ratio** of the** current volume** of the balloon to the **original volume **of the balloon is 8.

To get more about** sphere **visit:

Guest #9502

2 months ago

**Answer:**

8 times

**Step-by-step explanation:**

I found the volume of the sphere. Then increased it how many times he blew. That was the ratio.

Also, Khan :)

Question

After the data was recorded, Mary gives her latest book a rating of 1 star. How will this new rating affect the mean rating of her books? The mean book rating will not change.

Solution 1

Because her rating is incredibly low, it’s very likely the book’s mean will go down, unless the book’s rating is 1 star.

Question

The area of a trapezoid is 144 square inches. if the height is 12 inches, find the length of the median.

Solution 1

**Answer: **12 inches

**Step-by-step explanation: **In this problem, since we're asked to find the length of the median, let's use our formula for the area of a trapezoid that involves the median which is shown below.

Area = median · height

We know that the area is 144 and the height is 9 so we can set up the equation **144 = M · 12**. Now to solve for *m*, we divide both sides of the equation by 12 and we find that **12 = M**.

So the length of the median of the trapezoid is 12 inches.

Question

A car is traveling at a speed of 50 miles per hour. Each wheel of the car makes 770 revolutions per minute. To the nearest tenth of an inch, what is the diameter of each car wheel? (Note: 1 mile = 5,280 feet)

Solution 1

Answer: 21.8 inches

Given:

A car is traveling at a speed of 50 miles per hour. Each wheel of the car makes 770 revolutions per minute.

To get the diameter of each car wheel

Get first the length of revolution (circumference of the wheel) in inches.

Speed=50 miles/hr

=50miles/60 minutes

= 0.833333 miles/minute

=.833/5280=4400ft= 52,800 inches/minute

Since there are 770 revolutions per minute, per revolution (circumference of the wheel) =

=52,800/770

=68.57 inches

Formula of diameter given the circumference is:

D=C/π

D=68.57/3.14

D= 21.8 inches

Question

The volume of a cylinder is 1323pi cmcubed. The radius of the base of the cylinder is 7 cm. What is the height of the cylinder? The height of the cylinder is nothing cm. (Simplify your answer.)

Solution 1

V of cylinder = πr²h

h=V /(πr²)

**h=27/π -exact value**

h=1323/(3.14*(7)²)=**8.6 cm - approximate value**

h=V /(πr²)

h=1323/(3.14*(7)²)=

Question

A ladder leans against a building. The angle of elevation of the ladder is 70°. The top of the ladder is 25 ft from the ground. To the nearest tenth of a foot, how far from the building is the base of the ladder?
20.5 ft
30.5 ft
32.3 ft
39.5 ft

Solution 1

The distance from the base of the ladder to the way will be given by:

tan θ= opposite/adjacent

θ=70

adjacent=x

opposite=25 ft

thus

tan 70=25/x

thus

x=25/tan 70

hence:

x=9.1 ft

Answer: 9.1 ft

tan θ= opposite/adjacent

θ=70

adjacent=x

opposite=25 ft

thus

tan 70=25/x

thus

x=25/tan 70

hence:

x=9.1 ft

Answer: 9.1 ft

Question

Mrs. rifkin had 84 oranges. 24 of her oranges were rotten; the rest were either ripe or unripe. there were 18 more ripe oranges than unripe oranges. find the ratio of the number of ripe oranges to the number of rotten oranges to the number of unripe oranges.

Solution 1

39:24:21

There were 39 ripe oranges

There were 24 rotten oranges

and there were 21 unripe oranges

for a total of 84 oranges.

There were 39 ripe oranges

There were 24 rotten oranges

and there were 21 unripe oranges

for a total of 84 oranges.

Solution 2

84 oranges - 24 rotten = 60 oranges that are either ripe or unripe Let x = number of unripe orangesLet x + 18 = number of ripe oranges You know that the number of ripe oranges plus the number of unripe oranges is equal to 60 (x) + (x + 18) = 60 Subtract 18 from each side x + x = 42 x + x is the same as 2x, so 2x = 42 Divide each side by 2 2x/2 = 42/2 The 2s on the left side cancel out x = 21 So the number of unripe oranges is 21 The number of ripe oranges is x + 18,which is 21 + 18 = 39 So the number of ripe oranges is 39

Question

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!! What is the simplified form of the expression (3x^7/2)^6 (x^2)^6 A. x^33
B. 3x^29
C. 729x^29
D 729x^33

Solution 1

Given expression:

Which is option (D)

Solution 2

Question

Erins water bottle holds 665 milliliters. Dylan is carrying two water bottles. Each one holds 0.35 liters. Who is carrying more water?

Solution 1

Erin = 665 ml

Dylan = 0.35 x 2 = 0.7 liters = 700 ml

**Answer: Dylan is carrying more water.**

Dylan = 0.35 x 2 = 0.7 liters = 700 ml

Question

Which answer choice below correctly identifies the 202nd term in the sequence 5, 10, 15, 20, 25 …?

Solution 1

The 202nd term in the sequence is 1010.

Solution 2

**Answer:**

answer is : A. 1010

**Step-by-step explanation:**

Question

Can you easily multiply two terms with different bases?
yes or no?

Solution 1

If you are talking about base and exponents then NO but you can multiply 2 different exponents with same base. For example 2 to the power 2 multiplied by 2 to the power 4 then 2 is common base so keep 2 as it is then add the exponents 2+4 =6 totally the answer will be 2 to the power 6

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