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german
3 years ago
15

A pattern is made by toothpick squares. Select the series that represents the number of toothpicks added to a picture to get the

next picture to the right. Pretend the first picture has no toothpicks.
4 + 12 + 24 + 40 + ...; rule is an = 2(n2 + n)
1 + 2 + 3 + 4 + ...; rule is an = n
1 + 4 + 9 + 16 + ...; rule is an = n2
4 + 8 + 12 + 16 + ...; rule is an = 4n

The first one has one square the next one has 4 the next one has 9 and the last one has 16
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
4 0
The answer is, 4 + 8 + 12 + 16 ... rule is 4n.

Explanation:

one square has 4 toothpicks, then you added 4 picks (because you started with zero squares).

4 squares have 12 toothpicks, then you added 8 toothpicks to pass from one square to 4 squeres.

If you follow that reasoing you get to realize that the additions are 4, 8, 12, 16.
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Which equation represents the circle shown on the graph below.
SVEN [57.7K]

Answer:

C

Step-by-step explanation:

Edge2021

4 0
2 years ago
A cross-country team had a total of 10 practices last week, with each practice being in the morning or the afternoon. During eac
GalinKa [24]

x= morning

y = afternoon

 x + y = 10

x=10-y

5x + 6y =57

5(10-y) +6y =57

50-5y +6y =57

y=7

x=10-7 =3

 check 3*5 = 15, 7*6 = 42, 42 + 15 = 57


3 morning practices

3 0
3 years ago
A group of 100 students took a quiz. Their average score was 76 points. If the average score for the boys was 80 points and the
sveta [45]

Answer:

The number of girls participated in quiz is 40 .

Step-by-step explanation:

Given as :

Total number of students took quiz = 100

Average score of 100 students = 76 points

The Average score of boys = 80 points

The Average score of girls = 70 points

Let The number of boys participated in quiz = b

Let The number of girls participate in quiz = g

Now, According to question'

Total number of students took quiz = number of boys participated in quiz + number of girls participated in quiz

Or, b + g = 100           ........A

<u>Again</u>

∵ Average score of 100 students = 76 points

∴ Total score of 100 students = 76 × 100 = 7600

So, Average score of boys × number of boys participated + Average score of girls × number of girls participated = Total score of 100 students

Or, b × 80 + g × 70 = 7600

Or, 80 b + 70 g = 7600             .........B

Now, Solving equation A and B

(80 b + 70 g ) - 70 ×( b + g ) = 7600 - 70 × 100

I.e (80 b - 70 b) + (70 g - 70 g) = 7600 - 7000

Or, 10 b + 0 = 600

∴  b = \dfrac{600}{10}

i.e b = 60

So, The number of boys participated in quiz = b = 60

Put the value of b into eq A

∵ b + g = 100

So, g = 100 - b

Or, g = 100 - 60

i.e g = 40

So, The number of girls participated in quiz = g = 40

Hence, The number of girls participated in quiz is 40 . Answer

6 0
3 years ago
Records show that 12% of all college students are foreign students who also smoke. It is also known that 40% of all foreign coll
Sati [7]

Answer: the percent of the students at this university are foreign = 30%

Step-by-step explanation:

Given: Probability that college students are foreign students who also smoke: P(S|F)=0.12

Probability that foreign college students smoke P(S∩F)=0.4

The probability that the students at this university are foreign :

P(F)=\dfrac{P(S\cap F)}{P(S|F)}  [By conditional probability formula]

=\dfrac{0.12}{0.4}\\\\=0.3

Hence, the percent of the students at this university are foreign = 30%

6 0
2 years ago
In a group of 50 patrons, 12 patrons like lattes and espressos, 9 patrons like espressos and cappuccinos, 8 patrons like lattes
quester [9]
I used a Venn Diagram which I attached.
Think of it as a flower and work your way from the center out to the doubles (two kinds of coffee) and finally the singles (only one kind of coffee)
I place 4 in the center to represent the people that like all three.
Then I put 8 in the Latte Espresso group since they along with the 4 who like all three, make up the 12 who like lattes and espresso.  I put 4 in the Latte & Cappuccino group since they and the 4 who like all coffees, make up the 8 who like lattes and cappuccinos. And then I put 5 in the Espresso Cappuccino group who along with the 4 in the middle make up the 9 who like both of those.
In all 20 like lattes and my latte circle already has 16 so I added 4 (who only like lattes).  22 like espresso and I have accounted for 17 (8+4+5) so that means there are 5 who only like espresso.  Finally out of the 17 who like cappuccinos, 13 are already accounted for so I will add 4 who like only cappuccinos.
Since there are 50 people and I can account for 34 of them (add all the numbers in all three circles), there must be 50-34 people who don't like any.  The correct answer is d.16
Download docx
3 0
3 years ago
Read 2 more answers
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