The number $12345678910111213..........979899 consists of all the integers from 1 through 99 written back to back. That's a very big number! Is it a multiple of 9?

Zoe's Fish tank holds 27 L of water, so this is the capacity of the tank. On the other hand, Zoe uses a 3L container in order to fill the tank, so the question is  how many times does she have to fill the three litter container in order to fill the fish tank? Let's solve this as follows:

First time:

She pours 3L

Second time:

She pours another 3L, but she previously poured 3L, so she has poured 6L

Third time:

She pours another 3L, but she previously poured 6L, so she has poured 9L

Fourth time:

She pours another 3L, but she previously poured 9L, so she has poured 12L

Fifth time:

She pours another 3L, but she previously poured 12L, so she has poured 15L

Sixth time:

She pours another 3L, but she previously poured 15L, so she has poured 18L

Seventh time:

She pours another 3L, but she previously poured 18L, so she has poured 21L

Eighth time:

She pours another 3L, but she previously poured 21L, so she has poured 24L

Ninth time:

She pours another 3L, but she previously poured 24L, so she has poured 27L

According to this, she needs to pours the 3L container nine times in order to fill the fish tank. This can also be solved dividing 27L/3L= 9

Final answer:

Sarah will take approximately 0.6 minutes or 34 seconds to inflate a spherical balloon with a radius of 3 inches at a rate of 200 cubic inches per minute, after calculating the volume of the balloon and dividing by the rate.

Explanation:

How long will it take Sarah to inflate a spherical balloon with a radius of 3 inches at a rate of 200 cubic inches per minute?

To solve this problem, we first need to calculate the volume of the spherical balloon using the formula for the volume of a sphere, which is [tex]V = \(\frac{4}{3}\)\pi r^3[/tex], where r is the radius of the sphere. In this case, the radius is 3 inches. Plugging the values into the formula, we get:

[tex]V = \(\frac{4}{3}\)\pi (3)^3 = \(\frac{4}{3}\)\pi (27) = 36\pi cubic inches[/tex]

Now, given that Sarah can inflate the balloon at a rate of 200 cubic inches per minute, we can calculate the time it takes to inflate the balloon by dividing the total volume by the rate:

[tex]Time = \(\frac{Volume}{Rate}\) = \(\frac{36\pi}{200}\) minutes[/tex]

Using the approximation \(\pi = 3.14\), this results in:

[tex]Time = \(\frac{36 \times 3.14}{200}\) = \(\frac{113.04}{200}\) ≈ 0.565 minutes[/tex] or about 33.9 seconds, rounded to the nearest tenth.

Therefore, it will take Sarah approximately 0.6 minutes or 34 seconds to inflate the balloon.

Answer:

So the Variable D has to be less than 120, which means the problem has to state that a certain number cannot be bigger than 120.

Step-by-step explanation:

For the total length of the five rods in terms of a is L = 15a.

The formula for the Total Length of Five Rods

Certainly! To find a formula for the total length (L) of the five rods in terms of a, let's denote the lengths of the rods as a, 2a, 3a, 4a, and 5a (since there are five rods, each consecutive rod has a length that is one unit greater than the previous rod). So, the lengths of the rods are:

First rod: a

Second rod: 2a

Third rod: 3a

Fourth rod: 4a

Fifth rod: 5a

Now, to find the total length (L), add up the lengths of all the rods:

L = a + 2a + 3a + 4a + 5a

Combine like terms:

L = (1 + 2 + 3 + 4 + 5) · a

The sum of the first n natural numbers is given by the formula n(n + 1)/2, so in this case:

L = 5 · 6/2 · a

Simplify the expression:

L = 15a

So, the formula for the total length L in terms of a is L = 15a.

The complete question is:

Here are five straight rods.

All measurements are in centimeters.

The total length of the five rods is L" " cm.

Find a formula for L in terms of a.

Write your formula as simply as possible.

Answer:

the median is the number in the middle the mean is the sum of all numbers and divided

Step-by-step explanation:

mean 1,2,3,4,5,6

1+2+3+4+5+6=21

21/6= 3.5 <- mean

Median 1,2,3,4,5,6

2,3,4,5

3,4

median 3.5

The answer is not A because T would be flipped,  the answer is not D because T can not be reflected in that area without translations, and the answer is not B because T cannot (once again) be reflected in such locations without translations, Therefore, that leaves us with our best bet being the answer C.

288 would be your Answer hope this helps

Answer:

147

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The equivalent expressions are [tex]-6+8d-2c[/tex] and [tex]-2c+8d-6[/tex]. So, the correct options are B and C.

Given:

The given expression is:

[tex]-\dfrac{2}{5}(15-20d+5c)[/tex]

To find:

The equivalent expressions.

Explanation:

We have,

[tex]-\dfrac{2}{5}(15-20d+5c)[/tex]

Using the distributive property, we get

[tex]=-\dfrac{2}{5}(15)-\dfrac{2}{5}(-20d)-\dfrac{2}{5}(5c)[/tex]

[tex]=-6+8d-2c[/tex]

It can be rewritten as:

[tex]=-2c+8d-6[/tex]

The equivalent expressions are [tex]-6+8d-2c[/tex] and [tex]-2c+8d-6[/tex]. Therefore, the correct options are B and C.

Learn more:

https://brainly.com/question/7627111

Upon applying the distributive property, the given expression, –25(15 – 20d + 5c), simplifies to –375 + 500d – 125c. None of the options provided match this expression, making the correct answer 'None of the above'.

The student is asked to find an expression equivalent to –25(15 – 20d + 5c). To do this, we will apply the distributive property to multiply –25 by each term inside the brackets. This gives us:

Combining these we get the expression –375 + 500d – 125c. When we look at the options provided, none are equivalent to the expression we derived. Therefore, the correct answer is:

https://brainly.com/question/34140345

#SPJ3