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makkiz [27]
3 years ago
14

1. Each row in a window display of floppy disk cartons contains two more boxes than the row above. The first row has one box. a.

Complete the table. Row Number 1 2 3 4 5 6 Boxes in the row Total boxes in the display
Mathematics
1 answer:
Oduvanchick [21]3 years ago
8 0
Each row has two more boxes than the row above. The first row has one box 

The boxes in a row form an arithmetic sequence with the first term, a₁ = 1 and the common difference, d=2.
The n-th term is
a_{n} = a+(n-1)d
The sum of n terms is
S_{n} = \frac{n}{2}(a_{1} + a_{n})

Answer:
The table will have the following:

Row Number:                        1   2   3    4    5    6
Boxes in the row:                  1   3   5    7    9    11
Total boxes in the display:    1   4   9  16  25  36
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A rectangular jewelry box costs $125 to gold plate. Calculate the cost of gold plating a box which is similar in shape and that
Alja [10]
To determine the amount of gold plating necessary for the similar box, you will use the fact that it is 8 times larger in volume to determine how many times larger the area is.  This would be what you will multiply $125 by.

Volume is a three dimensional measurement, so the fact that it is 8 times larger tells us each dimension was 2 times larger (2 x 2 x 2=8).  

Area is a two dimensional measurement, so the area would have been 2 x 2 or 4 times larger.  This means the price would be 4 times as much.
$125 x 4 = $500.

It will cost $500 to gold plate the similar jewelry box.
7 0
3 years ago
Please tell me the area and attach work the most important part is work since I’m confused on subtracting the side lengths
Ymorist [56]

Answer:

The area is 288 feet

Step-by-step explanation:

So the best way to solve problems like this is to think about the parts of the object like different things, and iscolating them.

We see that the length of the rectangle is 21, and the width is 13.

Ignore the 5 and 16, since they tell you what you neeed to know about the other smaller rectangle.

So lets just use the formula for area of a rectnagle, which is l*w, using the 21 and 13 values above:

21*13= 273

Now lets look at the second part.

I think this is the part you were confused with, so I will go into detail on how we find the area of this part of the rectangle

We see that there is a 16...However, we already know that the width is 13. So how is this? The 16 includes both the width of the rectangle and of the smaller piece.

Since we already know that the width of the rectangle is 13, but the small segment makes it 16, we can subtract the total wifth by the width of the rectangle, which will find us the width of the segment:

16-13=3

So the width is 3.

This is not what we do with the 21 and 5. When we look at the segment, we see that the 5 covers all of it, and does not cover any of the rectangle's length. This basicallly means that the 5 length is only for the segment, so this is considered our length.

Now we can use this to figure out the segments area:

3*5=15

Now, since we need to find the combined area of the both the segment and the rectangle, we need to add them together:

273+15=288

So the area is 288 in total.

Hope this helps!

7 0
3 years ago
Need help please help
lilavasa [31]

Answer:

27 of the pets are dogs.

Step-by-step explanation:

Real easy way to do this, treat 45 (the total) as 100. So, do 45/100 then multiply the result of that by 60, and you end up with 27.

45/100=0.45

0.45*60=27

7 0
3 years ago
Find the area of the shape shown below.
hichkok12 [17]

Answer:

26.75 units ^2

Step-by-step explanation:

Since the shape is complex, divide it into 3 right angled triangles and one square. Find the area of these individual shapes first, then fin the sum of these area to calculate the ultimate area of e complex shape:

Triangle 1 = 1/2 x 2 x 5 = 5 units ^2

Triangle 2 = 1/2 x 2 x 2 = 2 units ^2

Triangle 3 = 1/2 x 3.5 x 9 = 15.75 units ^2

Square = 2 x 2 = 4 units squared.

Now add all these up 15.75 + 2 + 5 + 4 = 26.75 units squared.

Hope this helps

6 0
3 years ago
If 2 inches on a map represents 100 miles, how much does 3.5 inches
Sidana [21]

Answer:

175 miles

Step-by-step explanation:

3.5 has 2 miles in it so it has 100 then it has another 1 to make It 3 and half of 2 is ahh it's hard to explain but there's the anwser

4 0
3 years ago
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