Katie, Elizabeth, and Siobhan volunteer at the
hospital. In a week, Katie volunteers 3 hours
more than Elizabeth does and Siobhan
volunteers 1 hour less than Elizabeth. Over
3 weeks, the number of hours Katie
volunteers is equal to the sum of Elizabeth’s
and Siobhan’s volunteer hours in 3 weeks.
Complete the table to find out how many
hours each person volunteers each week.

Answer:

36

Step-by-step explanation:

After dylan took half of the cookies and 6 were left there were

12 before he took any

Than If Koji took a 3rd when 12 were left there were 18

Than if Paige took a 1/4 of what was left when there were 18 there were 24

This same pattern is the same for the next 2

24+6 = 30 and than 30+6 = 36

TLDR;

remove 6 per person meaning there were 36 to begin

Mrs. Balbas makes a batch of cookies for her math class. Aaron takes 1/6 of the cookies and runs out the door. Matthew then takes 1/5 of the cookies that are left. Paige takes 1/4 of what remains after Matthew leaves. Koji takes 1/3of what remains after Paige, and then Dylan grabs half of the remaining cookies after Koji. Gavin then swoops in and grabs the last remaining 6 cookies then the batch initially had 432 cookies.

Mrs. Balbas baked a batch of cookies for her math class.

1. Aaron takes 1/6 of the cookies:

If "C" represents the initial number of cookies, Aaron takes (1/6)C cookies, leaving (5/6)C cookies.

2. Matthew takes 1/5 of the remaining cookies:

Matthew takes (1/5)(5/6)C = (1/6)C cookies, leaving (5/6)C - (1/6)C = (2/3)C cookies.

3. Paige takes 1/4 of the remaining cookies:

Paige takes (1/4)(2/3)C = (1/6)C cookies, leaving (2/3)C - (1/6)C = (1/2)C cookies.

4. Koji takes 1/3 of the remaining cookies:

Koji takes (1/3)(1/2)C = (1/6)C cookies, leaving (1/2)C - (1/6)C = (1/3)C cookies.

5. Dylan takes half of the remaining cookies:

Dylan takes (1/2)(1/3)C = (1/6)C cookies, leaving (1/3)C - (1/6)C = (1/6)C cookies.

6. Gavin takes the last 6 cookies:

The remaining (1/6)C - 6 cookies are taken by Gavin.

7. The rest of the class gets nothing, leaving 0 cookies.

Now, let's add up the amounts taken by each student:

- Aaron: (1/6)C

- Matthew: (1/6)C

- Paige: (1/6)C

- Koji: (1/6)C

- Dylan: (1/6)C

- Gavin: 6 cookies

Adding all these together, we get:

(1/6)C + (1/6)C + (1/6)C + (1/6)C + (1/6)C + 6 = (5/6)C + 6

Since the remaining cookies are accounted for,

we know that (5/6)C + 6 = 0, which gives us C = 432.

Therefore, the initial batch had 432 cookies.

To know more about Initial Batch here

https://brainly.com/question/31873990

#SPJ3

Answer:

a) x= 42 , b) x=(16)/(9) , c) x=60

Step-by-step explanation:

a)

b)

c)

See the images. I hope it will help you.

Answer:

36

Step-by-step explanation:

21/9=84/x

x=84(9/21)

x=36

Answer:

225

Step-by-step explanation:

Mary = 3x (3 times Carey)

Carey = x

Barry = x/2 (Because Carey read twice as many as Barry, it means he read half the amount Carey did)

3x + x + x/2 = 405

4x + x/2 = 405

8x/2 + x/2 (treat these as fractions) = 405

9x/2 = 405

9x = 810 (cross multiply)

x = 90

Mary = 3(90)      270

Carey =              90

Barry = 90/2      45

Mary - Barry

270 - 45 = 225

Hope this helps! :)

Answer:

15+24t

Step-by-step explanation:

First, I copied the expression down. Then, I used PEMDAS, so I multiplied 5x3. That left 15 + t(24). I just gave the variable to 24, making 24 t's coefficient. So, the simplified answer would be 15 + 24t.

Answer:

I don't understand the language you used

Answer:

y = 5/4x + 8

Explain Your Answer

Answer:

The answer is 36 cookies.

Step-by-step explanation:

Answer:

Anssss::12a+ b+ 7a^ { 2 } +3

Answer:

It's the 5th answer / E

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Its the best possible answer

Answer:

C

Step-by-step explanation:

The answer is C. All you need to do is check each graph and see if (0,45) (1,70) (2,95) (3,120) are plotted on the graph correctly. And C is correct because each point is plotted on there correctly.

Answer:

245 = 5*7*7

510 = 3*17*2*5

250 = 5*5*5*2

1089 = 3*3*11*11

4725 = 3*3*3*5*5*7

900 = 3*3*5*5*2*2

27000 = 3*3*3*5*5*5*2*2*2

Answer:

8/9

Step-by-step explanation:

x = 0.8888....

10x = 8.88888

10x - x

8.888888.. - 0.88888....

the repeating decimals cancel out

9x = 8

x = 8/9

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:  2

Step-by-step explanation:

-20 / -10

= 2

Since (-) + (-) = positive

Answer:

I would guess 20%

Step-by-step explanation:

16+30+34)/4)x5   (this is how I think u would get it to be 100)

16/4)x5 = 20

20/100 = 20%

Im less certian about this one than the other but if u think its correct u can try it  

the answer option has been attached

Step-by-step explanation:

Answer:

Ratio of 48:5 and 28.8 inches of licorice per friend

Step-by-step explanation:

Ratio: Rita AND 4 of her friends go to the movie, meaning there would be 5 people. All 5 of them decide to share a 48 0unce bag of popcorn. The number problem is asking you to create a ratio comparing the number of ounces of popcorn (48) to the number of friends (5). Therefore, your ratio would be 48:5

Unit rate: Once again, there are 5 people there. Those 5 friends would like to share three 48inch long peices of licorice. The question is asking you to decide how many inches of licorice each friend gets. The first step would be to see how many inches in total we have by multiplying 48*3. That is 144 inches of licorice. The next step would be to divide the number of inches by the number of friends. That would be 144/5 and give you 28.8. The last step is to write out your unit rate. 28.8 inches of licorice per friend.

Hope that helped!

Answer:0.1  just use a calculator

Step-by-step explanation:

Answer:

sorry but your question photo is whole black what to give step by step sorry if it seemed rude

Answer: 327 1/3

Step-by-step explanation:

Well let's say that to compare these two numbers, we have to start with the definition first.

Definition

[tex] \displaystyle \large{ {y}^{2} = x} \\ \displaystyle \large{ y = \pm \sqrt{x} }[/tex]

Looks like we can use any x-values right? Nope.

The value of x only applies to any positive real numbers for one reason.

As we know, any numbers time itself will result in positive. No matter the negative or positive.

Definition II

[tex] \displaystyle \large{ {a}^{2} = a \times a = |b| }[/tex]

Where b is the result from a×a. Let's see an example.

Examples

[tex] \displaystyle \large{ {2}^{2} = 2 \times 2 = 4} \\ \displaystyle \large{ {( - 2)}^{2} = ( - 2) \times ( - 2) = | - 4| = 4}[/tex]

So basically, their counterpart or opposite still gives same value.

Then you may have a question, where does √-1 come from?

It comes from this equation:

[tex] \displaystyle \large{ {y}^{2} = - 1}[/tex]

When we solve the quadratic equation in this like form, we square both sides to get rid of the square.

[tex] \displaystyle \large{ \sqrt{ {y}^{2} } = \sqrt{ - 1} }[/tex]

Then where does plus-minus come from? It comes from one of Absolute Value propety.

Absolute Value Property I

[tex] \displaystyle \large{ \sqrt{ {x}^{2} } = |x| }[/tex]

Solving absolute value always gives the plus-minus. Therefore...

[tex] \displaystyle \large{ y = \pm \sqrt{ - 1} }[/tex]

Then we have the square root of -1 in negative and positive. But something is not right.

As I said, any numbers time itself of numbers squared will only result in positive. So how does the equation of y^2 = -1 make sense? Simple, it doesn't.

Because why would any numbers squared result in negative? Therefore, √-1 does not exist in a real number system.

Then we have another number which is -√1. This one is simple.

It is one of the solution from the equation y^2 = 1.

[tex] \displaystyle \large{ {y}^{2} = 1} \\ \displaystyle \large{ \sqrt{ {y}^{2} } = \sqrt{1} } \\ \displaystyle \large{ y = \pm \sqrt{1} }[/tex]

We ignore the +√1 but focus on -√1 instead. Of course, we know that numbers squared itself will result in positive. Since 1 is positive then we can say that these solutions exist in real number.

Conclusion

So what is the different? The different between two numbers is that √-1 does not exist in a real number system since any squared numbers only result in positive while -√1 is one of the solution from y^2 = 1 and exists in a real number system.

Answer:

Therefore [tex]\sqrt{1} \neq -\sqrt{1}[/tex]

Step-by-step explanation:

[tex]\sqrt{-1} \\[/tex] cannot be calculated as no two identical numbers that are multiplid could give -1. However - [tex]\sqrt{1}[/tex] means -1 x [tex]\sqrt{1}[/tex] = -1 x 1 = -1 . Therefore [tex]\sqrt{1} \neq -\sqrt{1}[/tex]

There are five ways to colour the centre square.

Suppose we colour the left hand side. Since the colours of the strip are symmetrical, the number to colour the right hand side is 1.

For the left part where there are 14 squares, let's consider the most adjacent square to the centre. There are four ways to colour that square since it cannot have the same colour as the centre square.

The same goes with the other squares remaining.

So, the answer is 5×4^14.

Answer: so I think like count each square up to 5 and u will have 4 left just try make it even ig ✌️

Step-by-step explanation:

Answer:

The answer will be:

7 2/3

Answer:

The Oringal Answer is 65/8 But In a Simplified Mixed Number the Answer is  8 1/8

Step-by-step explanation:

We need to get rid of parentheses in this term.

All the negative factors will change sign.

In our example, we have only one negative factor.

The sign of the term will change, since there is an odd number of negative factors.

We can reduce this fraction by dividing both numerator and denominator by a common numeric factors.

Answer:

Answer:The formula for the area of a parallelogram is A = bh, and the formula for area of a triangle is A = 1/2bh. Since a triangle is half of the area of a parallelogram with the same base and height, the only difference in the formula is 1/2.

Step-by-step explanation:

Maria would determine the height by dividing the area of the garden by the base

From the question, she has the area and the base.

Also, the garden has the shape of a parallelogram

The area of a parallelogram is the product of the base and the height.

So, when the area is divided by the base, she gets the height

Read more about parallelograms at:

https://brainly.com/question/3050890

Answer:

5:6

Step-by-step explanation:

35:42

42/ 6 = 7

35/7 = 5

Answer:

35:42

Step-by-step explanation:

Answer:

I hope this helps <3

Step-by-step explanation:

Using a calculator, √1.6=1.26491.... , which is an irrational number