Draw a sketch to help you solve this problem. Express your answer in simplest formTom ate 1/6 of the loaf of bread in the morning and 3/6 of the loaf of bread in the afternoon.

How much of the bread did Tom eat?

this is very easy you should get this right

btw I put in easy questions to get you points

Answers

Answer 1

Answer: Tom ate 2/3 of the bread.

In adding fractions, there are three steps to follow.

Step 1. make sure that the denominators are the same.

1 3
---- + -----
6 6

Since both of our denominators are the same. We proceed to step 2.

Step 2. Add the numerators and place them above the denominator.

1 + 3     4
-------   = ----
6 6

Step 3. Simplify the fraction.

  4 2
----   =   ----
6 3

The initial fraction is simplified by dividing both numerator and denominator by 2.

Answer with explanation:

We have to match each of the words to it's definition:

Additive inverse-- the opposite or negative of a number; the sum of a number and its additive inverse is zero

( Since we know that for any real number a the additive inverse of the number is " -a " )

Integer-- a number belonging to the set made up of the whole numbers and their opposites.

( We know that the integers are the numbers of the form {.....-4,-3,-2,-1,0,1,2,3,4,.....} )

Irrational number -- a number that cannot be written as a ratio of two integers, which has an infinite decimal representation that does not repeat

( We know that irrational number is an opposite of a rational number

Hence, it could not be written in the form of p/q where p and q are integers and q≠0]

also the decimal expansion of such a number is non-recurring and non-repeating )

Natural number -- a number belonging to the set made up of the numbers that are used to count: 1, 2, 3, and so on .

( These are the numbers which are used to count)

Rational number -- a number that can be written as a ratio of two integers in the form a/b with b ≠ 0

Whole number -- a number belonging to the set made up of zero and the natural numbers.

Answer:Answer with explanation:

We have to match each of the words to it's definition:

Additive inverse-- the opposite or negative of a number; the sum of a number and its additive inverse is zero

( Since we know that for any real number a the additive inverse of the number is " -a " )

Integer-- a number belonging to the set made up of the whole numbers and their opposites.

( We know that the integers are the numbers of the form {.....-4,-3,-2,-1,0,1,2,3,4,.....} )

Irrational number -- a number that cannot be written as a ratio of two integers, which has an infinite decimal representation that does not repeat

( We know that irrational number is an opposite of a rational number

Hence, it could not be written in the form of p/q where p and q are integers and q≠0]

also the decimal expansion of such a number is non-recurring and non-repeating )

Natural number -- a number belonging to the set made up of the numbers that are used to count: 1, 2, 3, and so on .

( These are the numbers which are used to count)

Rational number -- a number that can be written as a ratio of two integers in the form a/b with b ≠ 0

Whole number -- a number belonging to the set made up of zero and the natural numbers.

What is the scientific notation of 0.000042?

Answers

Answer:

4.2 × 10⁻⁵

Step-by-step explanation:

The decimal point must be after the first non-zero digit.

⇒ 4.2

Multiply 4.2 by a number that results in 0.000042. That number is 0.00001 or 10⁻⁵.

⇒ 4.2 × 10⁻⁵

Answer:

Sci. Notation= 4.2 x 10 to -5th power

Step-by-step explanation:

1. Go to decimal and move between 4 and 2

2. the number of zeroes after the the initial place of the decimal is the power it goes to

3. you pass four zeroes and the 4 which gives you five places, and the -5th power

Hope this helps :)

olivia deposits $6,952 in a savings account paying 3.72% interest. to the nearest dollar, how much money does olivia have in total after sixteen years?

Answers

The principal, P is $6 952.

Interest, R is 3.72% per year.

Time T = 16 years.

For simple interest, Amount A = P(1 + RT)

For compound interest, A = P(1+R)^T

a) If the money was saved as Simple Interest, Amount A

A = 6952 * (1 + 3.72% * 16)

A = 6952 * ( 1 + (3.72/100) * 16 )

A = 6952 * ( 1 + 0.5952)

A = 6952 * 1.5952

A = 11 089.8304

Amount if savings was simple interest, Amount at the end of 16 years =

$11 089.83

b) If the money was saved as Compound Interest, Amount A

A = 6952 * (1 + 3.72%)^16

A = 6952 * ( 1 + (3.72/100))^16

A = 6952 * ( 1 + 0.0372)^16

A = 6952 * 1.0372^16. Using your calculator.

A = 12 471.24735

Amount if savings was compounded interest, Amount at the end of 16 years =

$12 471.25

The question is was the amount saved as Simple Interest or Compound Interest?

It was not stated, but it is normal to use compound interest in real life.

I hope this helped.

105.6 L/h = ___ L/min?

Answers

105.6 L/h = 1.76 L/min :))))
i hope this be helpful
have a nice day

You and your friend are rolling number cubes. Each cube has 6 sides with the numbers 1 to 6. If a sum of 7 is rolled, your friend gets a point. However, you get a point if either one of the sums listed below is rolled. Which pair of numbers would make the game fair?

Answers

Answer: Hello mate!

Ok, the 6 sides cubes can be thinked as two normal dice.

A fair game is that game where both players have the same chance to win, first, let's calculate the situations where you friend win:

this are, if the cubes have numers between 1 and 6:

1 + 6

6 + 1

2 + 5

5 + 2

3 + 4

4 + 3

where 1 + 6 is different to 6 + 1 because in the first one you rolled a 1 and your friend a 6, and in the second one you rolled a 6 and your friend a 1, so are different events.

Then you can see that you friend has 6 combinations where he wins.

So we need to find two numbers that between them, have the same number of combinations.

I can think, for example in 4 and 10:

the combinations for 4 are:

2 + 2

3 + 1

1 + 3

a total of 3 combinations:

for 10 are:

5 + 5

4 + 6

6+ 4

also 3 combinations.

So if you win a point if the sum is 4 or 10, you also have 6 combinations where you win, then the game is fair

Now, suppose the first number is 5, let's find the second:

the combinatios for 5 are:

4 + 1

1+ 4

2 + 3

3 + 2

a total of 4 combinations, this means that we need to find another number that only has two combinations, wich can be, for example, 3

the combinations for 3 are:

1 + 2

2 + 1

2 combinations, then if your numbers are 3 and 5, you have 6 combinations where you win, and the game is fair.

You don't list the "sums listed below" but I can still help you.
There are 6 ways to get a sum of 7 using a pair of dice:
1+6
6+1 You might be asking why 2+5 isn't the same as 5+2
2+5 Imagine the dice are different colors. Is a red 2 and green 5 the
5+2 same as a green 2 and red 5? (No, it's not)
3+4
4+3
You need two numbers that also provide 6 ways to win. One pair that would work is 11 and 9 There are two ways to make 11 (5+6) and (6+5) and there are four ways to make 9 (3+6), (6+3) (4+5) and (5+4) - that's a total of six ways. So to balance your friend's 7 - you could go for sums of 11's and 9's. Check the choices you were given and find the numbers (it could be three numbers like 2,3, and 12) that give you 6 ways to win.
Here are the numbers and their ways
Sum of the dice Ways to get it
2 1
3 2
4 3
5 4
6 5
7 6
8 5
9 4
10 3
11 2
12 1

The access code for a car's security system consists of four digits. The first digit cannot be
5 and the last digit must be
even.