for the arithmetic sequence beginning with the terms {5, 6, 7, 8, 9, 10...}, what is the sum of the first 17 terms? 187 243 221 200 save

Answer:

y = -1/2 x + 25

The relationship is linear, but it takes some doing.

Step-by-step explanation:

Remark

This is a very interesting problem. I've never seen one quite like it. There is probably a much better way of solving it, but I did not discover it.  

You have to introduce another variable which I labeled as z.

Let time = x

Let distance = y

Let the step away from the starting point = z   which will be the same for x and y. So 18 and 16 the step away from the start is 3.

So as the time increases, the distance decreases.  What we are going to do sort of resembles a parametric relationship.

t starts with 10

x = 10 + 4*(z - 1)   and increases by 4 with each step

d starts with 20 and decreases by 2 with each step

y = 20 - (z - 1)*2

Now solve for z in each of the forgoing equations.

x = 10 + 4z - 4

x = 6 + 4z

x - 6 = 4z

(x - 6)/4 = z

y = 20 - 2z + 2

y = 22 - 2z

y - 22 = - 2z

(y - 22)/-2 = z                    

Since the zs must be kept the same, the left sides are equated

(x - 6)/4 = (y - 22)/-2               Cross multiply

-2(x - 6) = 4(y - 22)                 Remove the brackets.

-2x + 12 = 4y - 88                   add 88 to both sides.

-2x + 100 = 4y                        Switch the sides

4y = - 2x + 100                       Divide by 4

y = -1/2 x  + 25

Now for sure you have to try this.

Let x = 14

y = -1/2 * 14 + 25

y = -7 + 25

y =  18

Try another one

Let x = 22

y = -1/2 * 22 + 25

y = - 11 + 25

y = 14

Those two at least check.

Answer:

55 miles per hour

Step-by-step explanation:

.......ur welcome.......

330÷6=55

we divide the amount of miles by the time it took the bust to travel

A bus traveled 330 miles between two cities. If the bus traveled for 6 hours,, The bus will travel  approximately 55 miles per hour.

To determine the number of miles the bus traveled per hour, we need to divide the total distance traveled by the time taken.

Given:

Total distance traveled = 330 miles

Time taken = 6 hours

To find the miles per hour, we divide the total distance traveled by the time taken:

Miles per hour = Total distance traveled / Time taken

Miles per hour = 330 miles / 6 hours

Miles per hour ≈ 55 miles per hour

Therefore, the bus traveled approximately 55 miles per hour.

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Full Question

A bus traveled 330 miles between two cities. If the bus traveled for 6 hours, how many miles did the bus travel per hour?

(No graph Needed)

Answer:

y = x -15

Step-by-step explanation:

Answer:

(8,4)

Step-by-step Explanation:

Answer:

4√5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

(4.5, 8) and (8, 4.5)

Step-by-step explanation:

Given the equations

(x+y)=12.5 ... 1

X ×Y=36 .... 2

From 2, Y = 36/X

Substitute into 1

x+ 36/x = 12.5

x^2 + 36 = 12.5x

x^2 - 12.5x + 36 = 0

10x^2 - 125x + 360 = 0

2x^2 - 25x + 72 = 0

Factorize

2x^2 - 16x - 9x + 72 = 0

2x(x-8)-9(x-8) = 0

2x-9 = 0 and x-8 = 0

x = 9/2 and x = 8

when x = 9/2

Y = 36/(9/2)

Y = 36 * 2/9

Y = 8

When x = 8

Y = 36/X

Y = 36/8

Y =  4.5

Hence the solutions are (4.5, 8) and (8, 4.5)

Answer:

6 mph

Step-by-step explanation:

36 divided by 6

Answer:

6 mph

Step-by-step explanation:

To find his average speed for each mile per hour, you start by dividing with the miles by the hours:

[tex]36\div6=6[/tex]

If you multiply 6 by 6, you'll get 36.

6 is your final answer!

Answer:1/3

Step-by-step explanation: You have 6 letters in SOCCER. There are 2 letters that are in the word soccer that are C. So, 2/6 would simplfy to 1/3 which would mean that you have a 1/3 chance of getting the letter c

Answer:

y=5x-5

Step-by-step explanation:

we start from -5 and go rise/run so its 5

Answer:

x>15.5

Step-by-step explanation:

x - 10.2 > 5.3

Add 10.2 to both sides

x-10.2+10.2>5.3+10.2

Simplify getting the answer of

x>15.5

Answer:

is 125,000

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

To find the slope of an equation, you need to plug the coordinates into the slope formula.

y2 - y1/ x2 - x1

2 - (-5) / 4 - 5

= 7 / -1

= -7

Answer:

x = 9

Step-by-step explanation:

Given a segment joining the midpoints of 2 sides of a triangle, then

the segment is half the length of the 3rd side , that is

3x = 0.5 × 54 = 27 ( divide both sides by 3 )

x = 9

Answer:

4 of 5 = 4/5

Answer:

c

Step-by-step explanation:

hiiii

Answer:

A. NO

B. YES

C: YES

D: NO

Step-by-step explanation:

Answer:

270

Step-by-step explanation:

45 * 6 = 270

Answer:

There were 39 children at the party

Step-by-step explanation:

Here, we want to know the number of children at the party

To do this, we have to add the y-values ( frequencies of the age grades)

We have this as;

8 + 8 + 7 +10 + 6 = 39

Answer:

a i think im sorry if wrong

Events C and D are conditional and dependent events.

By looking at the Venn diagram, we can see that C is the event where the outcome of the dice is even.

While D is the event where the outcome is odd.

So events C and D have no common elements.

Now, the value of these events is related in any way?

Then the events are dependent and conditional, the correct option is the first one.

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Answer:

97

Step-by-step explanation:

The perimeter is adding each side together, the equation is 3+33+15+33+3+10

Answer:

I think that B is the correct answer , 353.3 ft2 .

Good luck ^^

Step-by-step explanation:

The answer is definitely 2.

which is 30 cm

Answer:

12,13.5,15,16.5,18,19.5

Step-by-step explanation:

just add 1.5

Answer:

16.6

Step-by-step explanation:

somtimes you gotta pay attention to you're math teacher

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Hypotenuse² = Base² + Length²

The height of the building is 32.8 feet

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

If you place a 26-foot ladder against the top of a building and the bottom of the ladder is 20 feet from the bottom of the building.

This can be written as,

Hypotenuse = 26 feet

Base = 20 feet

Height = height of the building

Now,

Applying the Pythagorean theorem.

Hypotenuse² = Base² + Length²

26² = 20² + Height²

Height² = 676 + 400

Height² = 1076

Height = √1076

Height = 32.8 feet

Thus,

The height of the building is 32.8 feet

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Answer:

ur mom

Step-by-step explanation:

O0O

Answer:

the gcf of that is 10.

Step-by-step explanation: