MATHEMATICS MIDDLE SCHOOL

How can you write 72+(8+19) to make it easier to add?

Answers

Answer 1
Answer: First add up the numbers in the parentheses.  8+19, take that answer plus 71. When doing large questions like this I prefer to do things like this.
                71
             + 27
             _____
            
           Take the ones column, adding it up, 1 plus 7, then put that 8 down here like this:
                71
             + 27
             _____
                   8
Then add add the other two, 7 plus 2 is 9. So you would end up with something like this:
                71
             + 27
             _____
              98
Answer 2
Answer:

Final answer:

To make 72+(8+19) easier to add, use the associative property to first add the numbers inside the parentheses, resulting in 72+27. Then add those two terms to get the sum, which is 99.

Explanation:

To write 72+(8+19) to make it easier to add, you can use the associative property of addition, which allows you to change the grouping of terms in the sum. The equation can be simplified by first adding the numbers in the parentheses. So, adding 8+19 gives us 27. Now, you can write the original expression as 72+27. This step simplifies the addition, allowing you to easily add 72 and 27 to get 99.

This is an example of the commutative property, A+B=B+A, which shows that the order in which you add numbers does not affect the sum. By rearranging the terms or grouping them differently as shown, the total sum remains the same. In this case, the expression has been simplified to make the addition easier to perform without changing the result.

Learn more about Associative Property here:

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Determine whether the polynomial is a difference of squares and if it is, factor it. y^2 – 225



is a difference of squares: (y + 15)^2

is a difference of squares: (y – 15)(y + 15)

is not a difference of squares

is a difference of squares: (y – 15)^2

Answers

(y-15)(y+15) if you do (y+15)^2, then that'll be y^2 + 225

Can u please answer the question

Answers

Ok it is said that it is almost 15%
So we know how to round:
if it the rounding place value is 5 or more, we round upwards
If it is less than 5, it stays the same

So in this example:
The percentage is rounded up to the nearest whole number:
Look at the number after the decimal point.

14.1% ⇒ is closer to 14%
15.1% ⇒ is closer to 15%
15.8% ⇒ is closer to 16%
14.2% ⇒ is closer to 14%
14.3% ⇒ is closer to 14%
15.5% ⇒ is closer to 16%
14.4% ⇒ is closer to 14%
15.6% ⇒ is closer to 16%
14.5% ⇒ is closer to 15%
15.7% ⇒ is closer to 16%
14.6% ⇒ is closer to 15%
15.3% ⇒ is closer to 15%
14.7% ⇒ is closer to 15%
15.9% ⇒ is closer to 16%
14.8% ⇒ is closer to 15%
15.2% ⇒ is closer to 15%
14.9% ⇒ is closer to 15%
15.4% ⇒ is closer to 15%

These are the values that the percentage could have been to one decimal place:
15.1%, 14.5%, 14.6%, 15.3%, 14.7%, 14.8%, 15.2%, 14.9%, and 15.4%

Jimmy is making a rectangular sandbox in his backyard for his son. Jimmy will be using wood to frame the sides of the sandbox. He wants the length of the sandbox to be 4 feet longer than the width. Jimmy can use no more than 60 feet of wood. What inequality can show a possible width for the sandbox?

Answers

The required possible width for the sandbox is w ≤ 13 feet.

What is inequality?

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Let w be the width of the sandbox in feet.

According to the problem, the length of the sandbox is 4 feet longer than the width, so the length can be represented as w + 4.

To find the amount of wood needed to frame the sandbox, we need to find the perimeter of the sandbox, which is the sum of the lengths of all four sides. Since there are two sides of width w and two sides of length w + 4, the perimeter of the sandbox is:

Perimeter = 2w + 2(w + 4) = 4w + 8

The problem states that Jimmy can use no more than 60 feet of wood, so we can write an inequality that represents this constraint:

4w + 8 ≤ 60

Simplifying this inequality, we get:

4w ≤ 52

w ≤ 13

Therefore, a possible width for the sandbox is w ≤ 13 feet.

Learn more about inequality here:

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10 x 6 = 60
6 + 4 = 10

a teacher asked 3 pupils to choose any 2 digit number square it and then find the remainder after dividing the result by 7. Doris got 6 Marie got 4, Horace got 3. Two of the pupils made a mistake. Why?

Answers

First write out all the two digit square numbers

4² = 16
5² = 25
6² = 36
7² = 49
8² = 64
9² = 81

Next divide all of them by 7

16/7 = 2 2/7 or 2 and 2 remainders
25/7 = 3 4/7 or 3 and 4 remainders
36/7 = 5 1/7 or 5 and 1 remainder 
49/7 = 7
64/7 = 9 1/7 or 9 and 1 remainder
81/7 = 11 4/7 or 11 and 4 remainders

This tells us that the only possible remainders for a two digit square number divided by 7 are 1, 2 and 4
If Doris got 6 and Horace got 3, they must have made a mistake.

It takes 45 minutes to bake 2 dozen cupcakes. At this rate, how many hours would it take to bake 8 dozen cupcakes? I need to show all work involved at arriving at the answer.

Answers

First you need to find how many minutes it takes to bake  1 dozen cupcakes.
45/2=22.5 minutes
Now you can start finding how many hours it would take to bake 8 dozen.
22.5 * 8 = 180.
180/60=3
Your answer is 3 hours!
well lets make these into fractions:) 

 2              8
---    ->     ----
45             x

see this is simple now we just have to find x
what do we multiply too 2 to get 8?
4 right?
so keeping that in mind we do the same thing to the denominator(the 45)

sooooo 45 x 4 = 180
now this is in minuets and since there are 60 minutes in one hour lets
divide 180/60 = 3 
see how simple this one was?
so it would take you three hours to make 8 dozen cupcakes

An odd multiple of 6 which is less than 100

Answers


6,  18,  30,  42,  54,  66,  78,  and  90  all qualify.
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