Three numbers have a mean of 64. When a fourth number is included the mean is doubled. What is the fourth number?

Answers

Answer 1

Answer: The mean is calculated by adding up all of the given numbers and dividing by the number of numbers.

Lets, for ease of understanding, say that the first three number were 64...

Mean=(64+64+64)/3=192/3=64

Now, lets solve for the mean where 'x' is the unknown fourth number and 128 is the mean. (since, the answer said that when the fourth number was added the mean, 64, was doubled '64*2=128')

128=(64+64+64+x)/4
128=(192+x)/4
Multiply both sides by 4
512=192+x
subtract 192 from both sides
320=x

The missing number is 320..

Now lets double check our work.

Mean=(64+64+64+320)/4=512/4=128

Answer=320

Answer 2

Answer: this is how i got the answer which is 16:

so first of all, if the mean is 64 then, u divide the 64/2 and u will get 32 so 32 + 32 would give u 64 but u wanna get the fourth number which 16 so then, u divide 32/2 which gets u the number 16 and then if u add up 16 + 16 + 16 + 16 = 64 so now 16 is the fourth number.

im sincerely sorry cuz i didn't know any other way to explain it but i hope this is correct!! :)

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Rose has $30 to spend on school supplies. She spent a total of $12.52, including tax, on a new pack of binders. She needs to save $15 for a pack of notebooks but also wants to buy some pencils. If pencils cost $0.22 each, including tax, what is the maximum number of pencils that Rose can buy?

Answers

Answer:

So you will have 2.48$ Left I didnt include tax since you didnt include a percentage amount but with 2.48$ you will have have enough for 11 pencils

Step-by-step explanation:

30$ Deduct

12.52$ Binder

17.48

Deduct 15$ Notebook

2.48 Divided By 0.22

Equels 11 Pencils

Simon bought 2 pounds of cucumbers, 8 ounces of alfalfa sprouts, 3 pounds of lettuce, and 15 ounces of tomatoes. How many ounces of vegetables did he buy in total?

Answers

Answer=103 ounces

First we need a conversion equations to get from pounds to ounces

1pound=16ounce

2pounds=2*16=32 ounces of cucumber

3pounds=3*16=48 ounces of lettuce

Now that all of the vegetables are in ounces, we can solve for their total weight.

x=32+8+48+15=103 ounces

He bought 103 ounces of vegetables in total.

If you would like to know how many ounces of vegetables did Simon buy in total, you can calculate this using the following steps:

1 pound equals to 16 ounces.
2 pounds + 8 ounces + 3 pounds + 15 ounces = 2 * 16 + 8 + 3 * 16 + 15 = 32 + 8 + 48 + 15 = 103 ounces

Result: Simon bought 103 ounces in total.

The sum of three decimal numbers is 6. Exactly one of the numbers is less than 1. What could the numbers be?

Answers

you could do 0.9 1.6 3.5 dont know of thats what you ment but they all have decimals :)

I know that the answer to this is all real numbers less than or equal to 5. My question is how do you solve this (without a calculator)? Given f(x) = -3x^2 +5, what is the range of the function I tried to use -b/2a but I probably did it wrong. Thanks

Answers

find inverse function
y = f(x) = -3x^2 + 5
write x in terms if y
x = sqrt(-(y-5)/3)
inverse function is
f-1(x) = sqrt(-(x-5)/3)

domain of inverse is the range of the function

from inverse, inside sqrt must greater than or equal to 0 so that x-5 <= 0 which is x <= 5

Describe how you regroup when you find the sum of 64 + 43?

Answers

To regroup, you simply break up the bigger numbers into smaller numbers that are more easily added together. We often regroup into numbers that end with 0 because they're easier to add. For example, you can break up 64 into 60 + 4 and 43 into 40 + 3. This will make addition easier, because you can first add together 60 and 40, which will equal 100. Then, you can add the smaller digits: 100 + 4 + 3 = 107.

Final answer:

Regrouping in addition, as in 64 + 43, involves adding numbers column by column from right to left. If the addition in a column results in a value of 10 or more, a 'carry over' or regrouping is done to the next column. The final resultant sum is 107.

Explanation:

To regroup when you find the sum of 64 + 43, you need to add the numbers column by column, moving from right (units) to left (tens, hundreds, etc.). In this case, add the right column (4 from 64 and 3 from 43) to get 7. Next, add the left column (6 from 64 and 4 from 43). The sum is 10. Since 10 is a two-digit number, the number in tens place (1) is carried over or regrouped to the tens column. To get the final answer, add the numbers in the tens column (including the carryover). This results in 107. In general, regrouping is a technique used in addition and subtraction to simplify calculations and solve problems more easily.

Learn more about Regrouping in Addition here:

brainly.com/question/2139067

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What is the theoretical probability that the coin will land on tails

Answers

1/2 cause their are two probabilities out of 2
heads = 1
tails = 1

A coin would land on tails about 50% considering there is 2 sides to it, if it had to land on it again then 1/4.

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