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krek1111 [17]
4 years ago
13

Which choice is the common difference between the terms of this arithmetic sequence?4x + 7y, 8x + 2y, 12x + -3y, 16x - 8y, 20x -

13y, ...
A.4x - 5y
B.-5x - 4y
C.4x + 5y
D.5x + 4y
E.5x - 4y
Mathematics
1 answer:
matrenka [14]4 years ago
5 0
A1=4x+7y
a2=8x+2y
a3=12x-3y
a4=16x-8y
a5=20x-13y

a2-a1=(8x+2y)-(4x+7y)=8x+2y-4x-7y→a2-a1=4x-5y
a3-a2=(12x-3y)-(8x+2y)=12x-3y-8x-2y→a3-a2=4x-5y
a4-a3=(16x-8y)-(12x-3y)=16x-8y-12x+3y→a4-a3=4x-5y
a5-a4=(20x-13y)-(16x-8y)=20x-13y-16x+8y→a5-a4=4x-5y

<span>The common difference between the terms of the arithmetic sequence is 4x-5y

Answer: Option A. 4x-5y</span>
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Solve the following problem. Choose the correct answer. Fairhaven Church buys four tires for its van. Each tire is priced at $43
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Answer:

169.65

Step-by-step explanation:

43.95x4= 175.80 175.80x3.5=6.15 175.80-6.15=169.65

5 0
3 years ago
Please help ASAP 20 pts + brainliest to right/best answer
Lerok [7]

Answer:


Step-by-step explanation:

The image on the right is not the answer. It is reflected across the y axis. equations and the inverses are reflections of each other across the line y = x. So that lets out the middle one as well which looks to be reflected across y = - x

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7 0
4 years ago
A truck is purchased for $14,000 and will depreciate in value 20% the first year. what will be the value of the truck one year a
grin007 [14]
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4 0
3 years ago
Read 2 more answers
A car traveling at a constant speed travels 1000 ft in 12 seconds. how long in hours will it take to travel 175 miles?
artcher [175]

9514 1404 393

Answer:

  3.08 hours

Step-by-step explanation:

We assume you're interested in the time in hours.

  175\text{ mi}\times\dfrac{12\text{ s}}{1000\text{ ft}}\times\dfrac{5280\text{ ft}}{1\text{ mi}}\times\dfrac{1\text{ h}}{3600\text{ s}}=\dfrac{175\times12\times5280}{1000\times3600}\text{ h}=\boxed{3.08\text{ h}}

It will take 3.08 hours to travel 175 miles at that speed.

7 0
3 years ago
HELP
Yakvenalex [24]

Answer:

5. 50.3 m²

6. 113.1 cm²

7. 102.1 yards²

8.  50.3 yards²

9.  452.2 ft²

10.379.8 ft²

Step-by-step explanation:

Area of  a circle = nr²

The circumference of a circle = 2nr

n = pi = 22/7

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

radius = diameter / 2

5. (22/7) x 4² = 50.3 m²

6.  (22/7) x 6² =113.1 cm²

7. radius = 11.4/2 = 5.7 yards

(22/7) x 5.7² =102.1 yards²

8. radius = 8/2 = 4 yards

(22/7) x 4² = 50.3 yards²

9. 2nr = 75.4 yards

2 x (22/7) x r = 75.4

to find r, divide both sides of the equation by 2 and 7/22

r = 12 ft

Area =  (22/7) x 12² = 452.2 ft²

10. 2nr = 69.1 yards

2 x (22/7) x r = 69.1

to find r, divide both sides of the equation by 2 and 7/22

r = 10.99 ft²

Area = (22/7) x 10.99² = 379.8 ft²

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

8 0
3 years ago
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