Which of these is a formula that can be used to determine the nth term of the arithmetic sequence 15, 27 39 51

Answers

Answer 1

Answer:

an=3+12n

Step-by-step explanation:

The sequence is

15, 27, 39, 51

The first term: a 1 = 15

The common difference of this sequence : d = 27 − 15 = 12

The nth term of an arithmetic sequence is given by formula

an=a+(n−1)d

So a n for this sequence will be:

an = 15 +(n−1) 12

an =(15)+12n−12

an = 3+12n


Related Questions

The measures of the angles of a triangle are shown in the figure below. Solve for x.
(6x+3)°
27°

Answers

Answer:

x = 10

Step-by-step explanation:

1. The sum of all angle measures in any triangle is equal to 180 degrees.

This means that 90 + 6x + 3 + 27 = 180

2. (Solving)

Step 1: Combine like terms.

[tex](6x)+(90+3+27)=180[/tex] [tex]6x + 120 = 180[/tex]

Step 2: Subtract 120 from both sides.

[tex]6x + 120 - 120 = 180 - 120[/tex] [tex]6x = 60[/tex]

Step 3: Divide both sides by 6.

[tex]\frac{6x}{6}=\frac{60}{6}[/tex] [tex]x = 10[/tex]

Therefore, x = 10.

At a robotics competition, first prize wins
$250.50, second prize wins $175.27, and third prize
wins $125.74. If Sawyer wins all three prizes, how
much money will he get?

Answers

Answer:

551.51

Step-by-step explanation:

g = f - d / v what is f

Answers

Answer:

f = g + d/v

Step-by-step explanation:

g = f - d/v

add d/v to both sides

g + d/v = f

switch sides

f = g + d/v

Please help me with this question

Answers

Answer:

x = 2

Step-by-step explanation:

Any lower base angle is supplementary to any upper base angle, then

51x + 3 + 75 = 180

51x + 78 = 180 ( subtract 78 from both sides )

51x = 102 ( divide both sides by 51 )

x = 2

Please find the slope of each line and explain

Answers

Answer:

the picture is not clear for me I can't see anything sorry

Find the outlier of the data set.43, 69, 49, 78, 88, 54, 73, 194, 54, 59, 70

Answers

194 because it is much higher than the other numbers

GIVING BRAINLIEST
a submarine is located 358 feet below sea level. it ascends 169 feet. At what depth is the submarine now

Answers

Answer:

A.T.Q

358-169

= 189

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

189 ft depth

Step-by-step explanation:

Initial position:

- 358 ft

Change in position:

+ 169 ft

Position now:

- 358 + 169 = -189 ft

hFASTTTTTTTTTTTTSNFKSKMDKF

Answers

Answer:

(4, 4)

Step-by-step explanation:

If it is reflected on both axis, it will be (4, 4)

Agree with first answer

120 seniors are on the honor roll. This represents one third of the senior class. How many seniors are there.

would be favorable for the steps as well as answer

Answers

Answer:

360

Step-by-step explanation:

120 = 1/3 x

120 x 3 = x

360 = x


Find the missing angle.
88°
Х
47°
X =
[?]
Enter the number that belongs in the green box.

Answers

Answer:

X = 45

Step-by-step explanation:

Hope it will be helpful for you.

Help MEE PLEASEE :( Im stressing sm

Answers

Answer:

smaller t= 0

larger t= 4

Step-by-step explanation:

smaller t is the t sqrd

larger t is the 4t

h(t) = t^2 + 4t + 3

h(0) = (0)^2 + 4(0) +3

0 + 0 + 3

= 3

i think the vertex of the parabola is

negative positive 3 or (-3,3),(3,-3)

I don't think if that's the correct answer.

WILL GIVE BRAINLIEST IF CORRECT!!

Write the equation of the line in fully simplified slope-intercept form.

Answers

Answer:

y=1/2x+8

Step-by-step explanation:

Hope is helps. Please mark brainliest!!

The slope of a line is 2/3. What does this mean?
Choose the answer below

a. Move 3 units upward and 2 units to the left

b. Move 2 units upward and 3 units to the left

c. Move 3 units upward and 2 units to the right

d. Move 2 units upward and 3 units to the right​

Answers

Slope is Y / X

Y is up and down and x is left to right.

Slope of 2/3 is 2 units up and 3 units to the right.

Answer: d. Move 2 units upward and 3 units to the right​

Correct answer is D; move 2 units upward and 3 units to the right.

The ratio of boys to girls in the sixth grade is 3:5. If there are 20 more girls than boys, how many total students are in the sixth grade?

Answers

Answer:

80

Step-by-step explanation:

.375, .525, .25 difference. 20/.25 =80

There are 80 students in the sixth grade.

What is the ratio?

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

Thus, a = px, b = qx

We have been given that ratio of boys to girls in the sixth grade is 3:5. If there are 20 more girls than boys, then

Now we need to do as;

b = 20 + g

3x = 20 + 5x

x  = 10

Now The students  are 8p

8 x 10 = 80

Hence, there are 80 student.

Learn more about ratio here:

brainly.com/question/186659

#SPJ2

The sum of two numbers is 16 and their product is 63

Answers

My work to your answer

divide 65 into two groups so that the ratio is 2 to 3

Answers

Let’s call the ratio 2x:3x

2x+3x =65
5x = 65
X = 13

Now apply to the ratio.

2x:3x
2(13):3(13)
26:39

What are the values of s and t?

Answers

Answer:

S=68

T=44

Step-by-step explanation:

G=E=68

F=180-(2×68):44

44°

The slashes mean that the angles are the same. So the angle across from 68° is also 68°. Now we need to find the other one. We know a triangle = 180.

So add the two angles we have,

68 + 68 = 136

Now to find the angle subtract 180 from the sun of the two angles

180 - 136 = 44

Find the slope and y-intercept from the graph. Then enter the equation for the graph in slope-intercept form.


The table numbers are (0,9) (1,13) (2,17) (3,21) (4,25)

Answers

Answer: y=4x+9

Slope = 4

Step-by-step explanation:

y2-y1/x2-x1

Given 3,21 and 4,25

25-21/4-3 = 4/1 = 4

Slope = 4

You can use the point-slope formula to get the following equation in slope-intercept formula.

y-y1 = m(x-x1)

(4,25)

->

y-25=4(x-4)

Distribute

y-25=4x-16

Cancel 25

y=4x+9

Please Help!
Slope finding
8th Grade work

Answers

Answer:

first question

slope = rise/run = 2/3

second question

slope = rise/run = 1/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

if u start from any point and go to the next u will be going up 2 the moving 3 to the right.

Can someone help me I don't get it

Answers

Answer:

6a C; 6b C

8: b.2 and d.15/4

Step-by-step explanation:

Answer:

1 mile = 5,280 feet

or

Step-by-step explanation:

So your case, since the given is already 35 miles per hour the only conversion that needs to be done to convert it into feet per hour would be the conversion of miles into feet.

A bag of corn can feed 50 chickens for 12 days how many bags are needed to feed 20 chickens for 30 days

Answers

Answer:

4.

Step-by-step explanation:

Divide 30 by 12 which is close to 5 and then divide 20 by 5. This MIGHT be wrong.

please help! i reward brainliest :D
Find x and y intercepts. Write ordered pairs representing the points where the line crosses the axes. y-3x=18

Answers

x= (-6,0) y=(0,18)

to find the x plug in 0 into “y” so: 0-3x=18
to find y plug in 0 into “x” so: y-3(0)=18

PLEASEEEEE HELPPPPP!!!! D: (picture explains questions)

Answers

Answer:

DCB ~ RST

JKL ~ JTU

Step-by-step explanation:

5(2x + 6) = 8x + 48

how do I solve this with steps

Answers

Answer:

x=9

Step-by-step explanation:

10x + 30 = 8x + 48

-8x = -8x

______________

2x +30 =48

-30= -30

__________

2x/2 = 18/2

x = 9

if ratio of 2 circle is 16:25 and circle one's radius is 4 what is the radius for the 2nd circle

Answers

Answer: 42

you must divide the casuals into the amount of Cheetos I ate last tomorrow morning

Name the common vertex of all the angles.

Answers

The answer is U. This is because that is where all of the angles converge

The measures of the angles of a triangle are shown in the figure below. Find the measure of the smallest angle

Answers

Answer:

x=7, so the smallest angle would be 44?

Step-by-step explanation:

Okay, so in a triangle, all the angles have to add up to 180°. So your equation would be 44 + (5x+20) + (9x+18) = 180

So in order to find the smallest angle, you have to find x, so let's simplify the equation.

Add the like terms (5x + 9x = 14x) and then the regular integers (44 + 20 + 18 = 82)

So now we have 14x + 82 = 180. Subtract 82 from both sides of the equation, and you will have 14x = 98.

Divide both sides by 14, and you will get x = 7.

Now plug this in to both equations, and see which one is the smallest.

9(7) + 18 = 63 + 18 = 81

5(7) + 20 = 35 + 20 = 55

I'm not sure whether or not your problem meant "find the smallest angle with a variable" or just the smallest angle in general, but I hope this helps.

Jennifer spent $153.36 at the mall. Sally spent $85.20. How many times greater in the amount Jennifer spent than the amount that Sally spent?

Answers

Answer: 1.8x greater

Divide Jennifers spending by Sallys spending

153.36 / 85.20 = 1.8

Sally spen 1.8x more money than Jennifer

Tim owes his mother $23. What possible combination of jobs
could Tim perform to earn enough money to pay back his mother?
Write an addition equation using integers to represent the
situation. Will he have money left over?

Answers

Answer:McDonald’s

Step-by-step explanation:because they pay very low and u should have -3 -5 -10

Which of the following is the graph of 2x - 3y = 6?

Answers

The answer is B, explanation in the picture attached

Answer:

Option B (second graph)

Step-by-step explanation:

Given the linear equation in standard form, 2x - 3y = 6:

It's easier to figure out the corresponding graph by transforming the equation into its slope-intercept form, y = mx + b:

2x - 3y = 6

2x - 2x - 3y = 6 - 2x

-3y = -2x + 6

Divide both sides by -3:

[tex]\frac{-3y}{-3} = \frac{-2x+6}{-3}[/tex]

y = 2/3x - 2

Now that we have the slope-intercept form, it's easier to tell that Graph B represents the given equation because:

The graph's y-intercept occurs at (0, -2).The slope, m = 2/3, is positive.  If you use the "Rise over run" technique, you'll see that Graph B rises by 2 units, and runs by 3 units.

Therefore, the correct answer is Graph B.

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