Which ratios are equal to each other? 1:16 and 2:8 or 2:32 and 4:8 or 1:64 and 4:16 or 1:16 and 4:64

Answers

Answer 1
Answer: It would be the one that says " 1:16 and 4:64 " because when you multiply 4 x 16 you would get 64. I hope de I helped you today

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Jan is using toothpicks to create patterns as shown below.Figure 1
Figure 2
Figure 3
based on the pattern, how many toothpicks will Jan use in figure 20?

Answers

Where Jan is using toothpicks to create patterns as shown below, He will need 79 toothpicks to complete figure 16. This is an arithmetic progression problem.

How to derive the Number of Toothpicks required for the 20th diagram

As indicated above, the given sequence is an arithmeticprogression.

It is also to be noted that each figure increases with a number of 4 toothpicks.

Thus, to find how many toothpicks will be required at the 20th figure, we need to use the following formula:

The nth term of an arithmetic sequence is given by the formula:

\[a_n = a_1 + (n-1)d\]

For this sequence:

\(a_1 = 3\),

\(d = 4\),

\(n = 20\).

\[a_(20) = 3 + (20-1) * 4\]

\[a_(20) = 3 + 19 * 4\]

\[a_(20) = 3 + 76\]

\[a_(20) = 79\]

Learn more about arithmetic progression at:

brainly.com/question/6561461

#SPJ3

Full Question:

Although part of your question is missing, you might be referring to this full question:

Jan is using toothpicks to create patterns as shown below. Based on the pattern, how many toothpicks will Jan use in Figure 16?
See attached.

Answer:

63

explanation:

They are adding 2 triangles to each figure, you could do it the LONG way by adding 2 to each figure or use an explicit rule

Hope it helps!

The population of a town was 89,443 in 1990 and then has increased at a rate of 0.6% per year since then. Which function represents the town's population t years after 1990?

Answers

Answer:

f(t)=89,443(1.006^t)

Step-by-step explanation:

In this problem we have a exponential function of the form

f(t)=a(b^t)

where

f(t) is the population of a town

t  is the number of years since 1990

a is the initial value

b is the base

r is the rate

b=(1+r)

we have

a=89,443\ people\nr=0.6\%=0.6/100=0.006

b=1+0.006=1.006

substitute

f(t)=89,443(1.006^t)

Which number line represents the solution of 4 - 3x > 13?

Answers

Answer:

x<-3

Step-by-step explanation:

  • given, 4 - 3x > 13

adding 3x on both sides,

4>13+3x

subtracting 13 from both sides,

4-13>3x

-9>3x

dividing both the sides by 3,

-3>x

therefore solution: x<-3

  • the required graph is shown in the attachment
  • so any x value lesser than -3 satisfies the inequality. [ y can be any value]
  • since you have asked about which number line, take y=0 and then it will be x-axis with values lesser than -3. this is the required number line.

I need a story problem to represent 1/2 divided by 3.

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If (3x + 1) + 2x + (x - 3) equals 64 then what is x?

Answers

Answer:

Step-by-step explanation:

What is the LCD for the fractions 5/6 and 3/8 PLZ HURRYa. 14

b. 18

c. 24

d. 48

Answers

The least common denominator for the fractions 5/6 and 3/8 is 24. 6 x 4 = 24, 8 x 3 = 24.