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antoniya [11.8K]
3 years ago
9

If 3, x, y, -9 are in A.P, find the values of x and y.​

Mathematics
1 answer:
Serggg [28]3 years ago
6 0

Answer:

  • x = -1
  • y = -5

Step-by-step explanation:

The common difference (d) can be found using the first and 4th terms:

  a1 = 3

  a4 = a1 +d(4 -1)

  -9 = 3 +3d . . . . . simplify

  -3 = 1 + d . . . . . . divide by 3

  -4 = d . . . . . . . . . subtract 1

Then ...

  x = a1 + d = 3 -4 = -1

  y = x + d = -1 -4 = -5

The values of x and y are -1 and -5, respectively.

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The sales tax in the town where Amanda lives is 7%. Amanda paid $28 in sales tax on a new stereo. What was the price of the ster
Vinil7 [7]

Answer:

$400

Step-by-step explanation:

Question = 28 dollars = 7% of what?

Formula = 28/7% = ? which is equal to 28/0.07 = 400

400 should be the answer so I hope this helps!

6 0
3 years ago
Alex sold wrapping paper rolls (r) as part of a school fundraiser. He earned a total of 156 reward points from his sales. Using
Eva8 [605]

Answer:

52

Step-by-step explanation:

Alex earned 156 reward points for selling wrapping paper rolls.

Using the given equation

3r = 156

r = 156/3

r = 52

Alex sold 52 wrapping paper rolls

5 0
4 years ago
Need help quick!! Cant figure this out
sladkih [1.3K]

Answer:

The average speed of the car, in miles per hour, from 17:30 to 19:42, is 119.167 meters per second.

Step-by-step explanation:

Physically speaking, average speed (\bar v), measured in miles per hour, is the distance travelled (\Delta s), measured in miles, divided by time (\Delta t), measured in hours. That is:

\bar v = \frac{\Delta s}{\Delta t} (1)

The time needed by the vehicle is:

\Delta t = 72\,min\times \frac{1\,h}{60\,min}

\Delta t = 1.2\,h

If we know that \Delta s = 143\,mi and \Delta t = 1.2\,h, then the average velocity of the car is:

\bar v = \frac{143\,mi}{1.2\,h}

\bar v = 119.167\,\frac{m}{s}

The average speed of the car, in miles per hour, from 17:30 to 19:42, is 119.167 meters per second.

5 0
3 years ago
Two angles are complementary their difference is 26 degrees find the measures of each angles
Nuetrik [128]

Good morning ☕️

Answer:

<h2>32° and 58°</h2>

-by-step explanation:

Let x be the measure of angle 1

and y be the measure of angle 2

The Two angles are complementary

means

x + y = 90

their difference is 26 degrees

means

x - y = 26

x + y = 90 (1)

x - y = 26  (2)

(1) - (2) ⇒2y = 64 ⇒ y =32°

therefore x = y + 26 = 58°

___________________________

:)

4 0
4 years ago
Read 2 more answers
Please help!!!!! I’ll give you brainliest
Nikolay [14]

Answer:

A=32

B=3

C=7

Step-by-step explanation:

Caitlyn surveyed 100 students to find out their favorite class. There were 29 students who enjoyed biology and 35 students who enjoyed English. There were 12 students who did not enjoy Biology, English, or Math.

29 like Biology so to find B you subtract. 29-6-5=3

35 like English so to find C 35-3-5-20=7

Total of 100 students subtract what you know to find A.

100-15-6-5-3-7-20-12=32

6 0
3 years ago
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