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ololo11 [35]
4 years ago
14

A baker bakes a batch of muffins and splits the batch evenly into six different trays. She then adds five croissants to each tra

y. If each tray now contains at least twenty baked goods, what is the least possible number of muffins in the baker's original batch
Mathematics
1 answer:
lesantik [10]4 years ago
4 0

Answer:

Original batch had 90 muffins

Step-by-step explanation:

m= muffins in original batch

So, each tray has m/6 muffins and 5 croissants, which totals m/6+5. The value must be at least 20, so we have this inequality:

m/6+5 is greater than or equal to 20. We multiple each side by 6 and get:

m is greater than or equal to 90 muffins.

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24pr+3 (p+2pr) please simplify and explain
Yuki888 [10]
24pr + 3(p + 2pr)
= 24pr + 3p + 6pr
= 24pr + 6pr + 3p
= 30pr + 3p
= 3p(10r + 1)

Explanation:
30pr + 3p
= 3p x 10r + 3p x 1
= 3p(10r) + 3p(1)
= 3p(10r + 1)
7 0
4 years ago
A vendor sells hot dogs and bags of potatoe chips. A customer buys 2 hot dogs and 5 bags of potato chips for 8.00 Another custom
diamong [38]

Answer:

hot dogs are $1.50 and the potato chips are $1 each

Step-by-step explanation: you'd take 3 hot dogs add 1.50 each it would be $4.50+$3 for the bags of chips and you'd get $7.50


7 0
3 years ago
(Adding and Subtracting Polynomials)
andrey2020 [161]

Adding and subtracting big polynomials like these are pretty easy. You just need to combine like terms. For example:

1.)

{5x}^{2}  +  {3x}^{2}  =  {8x}^{2}

2.)

({3x}^{2}  + 5xy) + (7xy + 2) =

{3x}^{2} + 12xy + 2

(The 3x^2 and the 2 stay intact while the 5xy and 7xy combine together)

All you have to do is combine the numbers that have the same powers of x and y with each other. x^2 will combine with x^2 and xy^2 wil combine with xy^2 exc. If there is no other number with the same x and y's, then you just leave it as it is in the answer.

Now with the original question, I see a -9xy^3, and thats gonna combine with the 3xy^3 in the second polynomial and the 2xy^3 in the third one.

- 9x {y}^{3}  + 3x {y}^{3}  + 2x {y}^{3} = \\  - 4x {y}^{3}

So far we have -4xy^3, the next term is going to be a -9x^4y^3, and that's gonna combine with the 3x^4y^3 in the third one.

- 9 {x}^{4} {y}^{3}  + 3 {x}^{4}  {y}^{3}  =  - 6{x}^{4}  {y}^{3}

We now finished adding the like terms that were in the first polynomial, we will move onto the second polynomial. The first term in this one is 3xy^3, in which we already added in the first step. At this point, it doesn't look like there are any other terms that have the same x and y behind them. So we can move on and write the final answer:

- 4x {y}^{3} - 6 {x}^{4} {y}^{3}  + 7 {y}^{4}  \\ - 8 {x}^{4} {y}^{4}

(All on the same line of course)

Also, for your second question, the order does not matter in which you write the terms. I could write the 7y^4 behind the -8x^4y^4 and it would still be the same answer.

If you have any other questions let me know :) while I double check my work.

6 0
4 years ago
In triangle ABC, the length of side AB is 10 inches and the length of side BC is 15 inches. Which of the following could be the
Tems11 [23]
I am going to assume D is the correct answer, hope I'm right!
5 0
4 years ago
"the distribution of means is the correct comparison distribution when"
alexandr402 [8]

The distribution of means is the correct comparison distribution when

Answer: The distribution of means is the correct comparison distribution when there is more than one person in a sample.

The distribution of the sample means is also called the sampling distribution of mean. It is most appropriate when we take a random sample of size n from the population of size N. The distribution of the sample means will follow normal distribution with mean = \mu and standard deviation = \frac{\sigma}{\sqrt{n}}


4 0
4 years ago
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