Write a word problem that you can solve using multiples to estimate the quotient. Include a solution.

Answers

Answer 1
Answer:

Answer:

Word problem based that can be solved using multiples to estimate the quotient:

Melissa made 326 cupcakes. She packed four cupcakes into each box. How many boxes of cupcakes did she pack? How many cupcakes were left unpacked?


Answer 2
Answer:

Answer:

Let us consider,

The problem: 'Find two numbers between which the quotient of 50 ÷ 7 lies'.

Solution: We will solve this in two steps.

Step 1: Form a table of multiples of 7.

Counting number               Multiple of 7

           1                                       7

           2                                     14

           3                                     21

           4                                     28

           5                                     35

           6                                     42

           7                                     49

            8                                    56

Step 2: Use the table to find the multiples closest to 50.

Since, 49 = 7 × 7 and 56 = 7 × 8

Thus, 50 lies between 49 and 56.

Then, the quotient is either 7 or 8.

As 50 is closest to 49.

Hence, the quotient of 50 ÷ 7 is 7.


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Show that n^2-1 is divisible by 8,if 'n' is an odd positive integer.

Answers

n-an\ odd\ positive\ integer\ \ \ \Rightarrow\ \ \ n=2k+1\ \ \ and\ \ \ k\in Natural\n\nn^2-1=(2k+1)^2-1=(2k)^2+2\cdot2k\cdot1+1^2-1=4k^2+4k=\n\n=4k(k+1)\n\nif\ k-odd\ \ then\ (k+1)-even,\ \ \ then\ k(k+1)-even\n\n\ \ \ \Rightarrow\ \ \ k(k+1)=2m\ \ \ and\ \ \ m\in N\ \ \ \Rightarrow\ \ \ 4k(k+1)=4\cdot2m=8m\n\n\nif \ k-even,\ \ \ then\ k(k+1)-even\n\n\ \ \Rightarrow\ \ \ k(k+1)=2p\ \ \ and\ \ \ p\in N\ \ \ \Rightarrow\ \ \ 4k(k+1)=4\cdot2p=8p\n\n

------------------------\n\n for\ each\ k \in N\ the\ product\ of\ \ \ k (k +1)\ \ \ is\ even,\ so:\n\nif\ 'n'\ is\ an \ odd\ positive\ integer,\ then\ \ \ n^2-1\ \ \ is\ divisible\ 8.

If x=square root of 6 and y^2=12 then 4/xy=

Answers

y² = 12
y = 2√3

x = √6

Now, 4 /xy
= 4/2√3√6
= 2 / 3√2
= √2/3

In short, Your Answer would be √2 / 3

Hope this helps!
x = root(6)
y = root(12)
4/(root(6)*root(12)) = 4/root(72)     multiply top and bottom by root(72)
4root(72)/72 =root(72)/18
root(72) = root(6^2 * 2) = 6root(2)
6root(2)/18 = root(2)/3
final answer root(2)/3

Beverly needs to make a container in the shape of a rectangular prism that holds 1000 in3 of liquid. The height of the container must be 10 in. She wants to use the dimensions that will allow her to use the least amount of material possible. Beverly’s mother says the difference in the amount of material will be too minor to worry about. Beverly believes it is possible to save more than half the material needed if they pick the right dimensions. Who is correct? Support your answer with specific numbers, and explain your reasoning. The dimensions are measured in whole units.

Answers

Given:
volume = 1,000 in³
height = 10 in

1,000 in³ / 10 in = 100 in² Area.

100 in²

Length     Width        Surface Area of the Rectangular prism
100 in          1 in                       2,220 in²
  50 in          2 in                       1,240 in²
  25 in          4 in                          780 in²
  20 in          5 in                          700 in²
  

Surface area = 2(wl + hl + lw)

The best dimension is 20 inches by 5 inches by 10 inches. It has lesser surface area than other dimensions. Thus, it can save more materials.

Use mental math to find the value of 15/124·230/30÷230/124

Answers

By using mental math the value of 15/124·230/30÷230/124 is 1/2.

How to get better at mental math ?

To get better at mental math or metal calculation we can start by practising doing arithmetic operations of two digit numbers.Then after we can go on increasing the digits when we're getting better at it.Thinking of the easiest way to chunks numbers also helps.

According to the given question

{(15/124)×(230/30)}/(230/124)

First the fraction (230/124) which is in the denominator we flip and multiply.

= (15/124)×(230/30)×(124/230)

Now 124 and 124 on numeration and denominator gets cancelled and same case is applicable for 230 then after we are left with 15/30 which is equal to 1/2.

Learn more about mental math here :

brainly.com/question/721129

#SPJ2

Okay, the first thing to do is to make it so you're multiplying everything instead of dividing by that last fraction. To divide by a fraction, you just multiply by its reciprocal. So then, it's 15/124 x 230/30 x 124/230. After that, let's organize it into one single giant fraction since order of operations allows us to arrange division and multiplication however we want. Then it's 15x230x124 / 124x30x230. Then, you'll notice that the 230s and 124s can both be canceled out, leaving 15/30. After simplifying, your final answer is 1/2.

A playground is (4x + 4) feet wide and 6x feet long. Find the area of the playground.

Answers

Area of a rectangle= length*width

So:

Area of the playground= (6x)(4x+4)

Use distributive property.

Area of the playground= (6x*4x)+(6x*4)

=24x^2+24x

Answer: 24x^2+24x

Given the figure below, find the measure of​

Answers

GHK = GHJ + JHK
GHK = 2x+10+8x-7
GHK = 10x+3
sub. x=9,
GHK = 10(9) + 3
= 90 + 3
= 93°

Answer:

angle GHJ Is 28 degrees and angle JHK is 65 degrees

Step-by-step explanation:

I was not sure exactly what you were asking for but hope that helps