1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
SVEN [57.7K]
3 years ago
11

{HIGH PAYOUT} Can someone help by showing work on how to get to answer?

Mathematics
1 answer:
Gala2k [10]3 years ago
5 0

Let's assume each line is one toothpick.

In figure 1, there is a square made out of the 4 toothpicks.

In figure 2, there are four squares made. However, the 4 four toothpicks were already used, so we don't count them twice. That gives 4 (that were used) + 3 (the new ones on the left) + 3 (new ones on top) + 3 (new ones on right). We sum them up: 4 + 3 + 3 + 3 = 13.

In figure 3 there are nine squares made. We have the 13 squares made, plus 3 on the left column, 2 on the left center column, 3, on the center column, 2 on the right center, and 3 on the right. We total them up. 13 + 3 + 2 + 3 + 2+ 3 = 26.

Let's look at the pattern.

<u>Figure #</u> <u># Toothpick</u>s

1 4

2 13

3 26

From figure 1 to 2, we added 9. From 2 to 3 we added 13. If we draw figure 4, we would add (from left to right) 3, 2, 2, 3, 2, 2, 3. That would be 17 toothpicks added, and 39 total. Let's go back to the table.

<u>Figure #</u> <u># Toothpick</u>

1 4

2 13

3 26

4 39

Now let's look at the sequence happening. As we add more, we increase by 9, then 13, then 17. For each row, we add the same number as the previous row and then add 4. Drawing Figure 5 would be too much, but we can conclude based on the pattern that 21 squares would be added. We can take this sequence as far as we need to. We want the 10th figure or term, so we apply the pattern and keep going until we get there.

<u>Figure #</u> <u># Toothpick</u>

1 4

2 13 <--- add 9

3 26 <--- add 13, the same 9 and 4 more

4 39 <--- add 17, the same 13 and 4 more

5 60 <--- add 21, the same 17 and 4 more

6 85 <-- add 25, the same 21 and 4 more

7 114 <-- add 29, the same 25 and 4 more

8 147 <-- add 33

9 184 <---- add 37

10 225 <-- add 41


Thus the 10th figure has 225 toothpicks.

You might be interested in
Pleaseeee helppppppppppp
lutik1710 [3]
The answer would be C.
3 0
3 years ago
A sauce recipe uses 4 cans of tomatoes in every 2 1/2 quarts. How many cans of tomatoes are used in each quart of the sauce? Ent
tresset_1 [31]
1 3/5 cans of tomatoes are used in each quart of the sauce
3 0
3 years ago
Read 2 more answers
-3+5+6g=11-3g−3+5+6g=11−3g <br> Find the value of G plssss! thx, I really need it!
NISA [10]

Answer:

6g -3g +6g -3g = 5+6-11-3+5-11

6g=-18

6g= -18 /÷6

g= -3

3 0
2 years ago
X-1 is a factor of 4 + 5x2 - 4x2 - 8x+ 6.<br> O True<br> False
Marizza181 [45]

Answer:

False

Step-by-step explanation:

Bc I literally just took that quiz and it's false

6 0
2 years ago
Read 2 more answers
Your waiter at a restaurant suggests you leave a tip of $10 on a $50 bill. What percentage is that?
Bezzdna [24]

Answer:

20%

Step-by-step explanation:

To find what percentage is $10 out of $50, we divide 10 by 50:

\frac{10}{50}=0.2

If we want to get the result in percentage form, we simply multiply it by 100%:

0.2\cdot 100\%=20\%

So a tip of $10 on a $50 bill is a tip of 20%.

6 0
3 years ago
Other questions:
  • Hi can someone please help meee
    5·1 answer
  • Find one value of x that is a solution to the equation: (3x-1)^2 +12x -4 =0<br> X =
    14·1 answer
  • The map shows ancient and modern cities on the Indian subcontinent.
    14·2 answers
  • Mr. Bryan used similar quadrilaterals to make an art wall. Which statement about the quadrilaterals on the wall must be true?
    14·1 answer
  • Click the photo to find the value of x
    15·1 answer
  • Help please! No links!
    11·1 answer
  • Which metric unit would be best to measure the width of a room?
    13·1 answer
  • I need help on number 8​
    13·1 answer
  • PLSS HELP Identify the five important values from this box and whisker plot. Explain how you got your answers
    5·1 answer
  • Create a matrix that is equal to F+G. The first matrix below is named F and the second matrix below is named G. Name the new mat
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!