6. Describe a pattern shown in this sequence, and use the pattern to find the next two terms.7,15, 23, 31, 39, ?, ?, ...
6. Describe a pattern shown in this sequence, and use - 1

Answers

Answer 1
Answer:

Answer:

The pattern is that each time, 8 is added. The next 2 numbers are 47, 55.

Step-by-step explanation:

7+8=15

15+8=23

23+8=31

31+8=39

39+8=47

47+8=55


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At the amusement park, the ratio of children to adults is 5:2. If 63000 people visit the park, how many are children?

Answers

If you think about it, the ratio of 5:2, is basically saying that for every 7 people you have, 5 will be children, and 2 will be adults, or 5/7 : 2/7. So you can set it up as a proportion. If you are looking for the number of children (5 for every 7), you could as 5/7 = x/63000. If you did cross-multiplication (5*63000 = 7*x), you would get that 7x = 315000. If you them divide both sides by 7 to get the variable by itself, you would get that x is equal to 45000. This means that out of the 63000 people in the park, 45000 of them are kids.

What is the justification for each step in the solution of the equation 2/3x-1/3=2(x+2)

Answers

Answer:

-13/4

Step-by-step explanation:

14x=6y-12 put this in slope intercept form

Answers

Answer:

To put the equation 14x = 6y - 12 into slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept, we need to isolate the y variable on one side of the equation.

Starting with 14x = 6y - 12, we can rearrange the equation as follows:

6y = 14x + 12

Dividing both sides of the equation by 6, we get:

y = (14/6)x + 2

Simplifying further, the equation can be written in slope-intercept form as:

y = (7/3)x + 2

So, the equation 14x = 6y - 12, in slope-intercept form, is y = (7/3)x + 2.

Evaluate the numerical expression 2+(65+7) multiply 3=what

Answers

218 is the right answer
Your answer should be 218 because 65+7=72 then 72*3=216 then 216+2= 218
Hope i could help (:

1/5 times 3/4 times 5/7 in simplest form

Answers

The equivalent value of the fraction is A = 3/28

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the first fraction be p = 1/5

Let the second fraction be q = 3/4

Let the third fraction be r = 5/7

Now , A = pqr

On simplifying the equation , we get

where A = ( 1/5 ) ( 3/4 ) ( 5/7 )

A = ( 1 x 3 x 5 ) / ( 5 x 4 x 7 )

A = 15/140

On further simplification , we get

A = 3/28

So , the left hand side of the equation is equated to the right hand side by the value of 3/28

Therefore , the value of A = 3/28

Hence , the fraction is A = 3/28

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the answer is going to be 3/28 :  )

Jen ran 9 miles in 117 minutes , if her speed remained the same throughout the run , what was her pace?

Answers

Jen's pace is approximately 13 minutes per mile.

To calculate Jen's pace, we need to determine the time it took her to run 1 mile.

Jen ran 9 miles in 117 minutes, so we divide the total time by the number of miles:

Pace = Total time / Number of miles

Pace = 117 minutes / 9 miles

To simplify the pace, we can convert 117 minutes into hours by dividing it by 60:

Pace = (117 minutes / 60) hours / 9 miles

Pace ≈ 1.95 hours / 9 miles

Now, to find the pace in minutes per mile, we can convert 1.95 hours to minutes by multiplying it by 60:

Pace ≈ (1.95 hours × 60) minutes / 9 miles

Pace ≈ 117 minutes / 9 miles

Therefore, Jen's pace is approximately 13 minutes per mile.

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117 ÷ 9 = 13

Hope this helps!