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Fed [463]
2 years ago
13

first three terms of a sequence are given. Round to the nearest thousand (if necessary) 152,149,146... Find the 30th term

Mathematics
1 answer:
Cloud [144]2 years ago
4 0

Answer:

65

Step-by-step explanation:

use the following equation

aₙ=a₁+(n-1)d

Where d is the common difference

n is the term

a₁ is the first term

the common difference is -3 (149-152)

this means we have

152+(30-1)*-3

Compute this and get

65

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Masha biked 20km 20 minutes faster than Dasha biked 20km. Find the speed of each cyclist if one biked 2km/h faster than the othe
motikmotik

Answer:

  • 12 km/h and 10 km/h

Step-by-step explanation:

Let the speed of Masha = s, speed of Dasha = d

  • Distance = 20 km
  • Time difference = 20 min = 1/3 hr
  • Speed difference  = 2 km/h

<u>As per above info we get following equations:</u>

  • s = d + 2
  • 20/s + 1/3 = 20/d

<u>Substitute s and solve for d:</u>

  • 20/(d + 2) + 1/3 = 20/d

<u>Get rid of fraction by multiplying all terms by 3d(d + 2):</u>

  • 60d + d(d + 2) = 60(d + 2)
  • 60d + d² + 2d = 60d + 120
  • d² + 2d = 120
  • d² + 2d + 1 = 121
  • (d + 1)² = 11²
  • d + 1 = 11
  • d = 10

<u>Find s:</u>

  • s = 10 + 2 = 12

<u>The answer is</u>

  • Masha's speed 12 km/h and Dasha's speed 10 km/h
3 0
3 years ago
Need help as fast as possible will mark brainliest
MissTica

Answer:

Option C. is correct choice.

Step-by-step explanation:

20\pm 0.1\:^{\circ}\:C

Regards: Umer

6 0
2 years ago
Please help me with this math probelm ASAP!! Will give brainliest!! :)
nasty-shy [4]

Answer:

z=21, x=1, y=9

Step-by-step explanation:

3z=63 (a property of a kite)

z= 21

3x-1=2x (another property of a kite)

x=1

y+4=13 (another property of a kite)

y=9

Be sure to know your properties!

8 0
2 years ago
A video game usually costs $49.95, but it’s on sale for 20% off. What is the discount amount? What is the sale price for this it
satela [25.4K]

Answer:

the discount amount is $9.99

the sale price for the video game is $40


The answer is C.

Best of luck to you my dear.

Step-by-step explanation:

49.95x.2= 9.99


49.99-9.99= 40

7 0
3 years ago
Read 2 more answers
Given that 8x−7y=32 Find x when y=2 Give your answer as an improper fraction in its simplest form. please help asap :((​
oksano4ka [1.4K]

Answer:

23/4

Step-by-step explanation:

The equation becomes 8x-7*2= 32

8x-14=32

+14 on both sides

8x = 46

divide by 8

x = 46/8

then simplify

x = 23/4

3 0
2 years ago
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