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4 years ago

Find the next term in the sequence 5, 25, 125, 625

Mathematics

1 answer:

gogolik [260]4 years ago

5 0

the next term would be 3,125! the sequence is multiplying each number by 5.

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In Santana's last basketball game he made a total of 22 baskets. Santana

anyanavicka [17]

Answer:

Santana scored 12 2-point baskets.

Step-by-step explanation:

Given that Santana converted 22 baskets in his last basketball game, totaling 54 points at the end of the game, and that in basketball the baskets are worth 2 and 3 points, to determine the number of baskets of each value that Santana converted, the following logic reasoning must be done:

If all the baskets were 2 points, the total of points made would have been 44 (22 x 2). Now, there are 10 more points, which are attributable to the 3-point baskets (that is, each extra point is a 3-point basket). Therefore, since 54 minus 44 equals 10, Santana made 10 3-point baskets and 12 2-point baskets.

This is verified through the following calculation:

(10 x 3) + (12 x 2) = X

30 + 24 = X

54 = X

8 0

3 years ago

Help! 20 points, I can’t figure it out and my daughter is in 7th grade. The hard middle school years aha

Shtirlitz [24]

Answer:

(0, 0), (1, 4), (2, 8); 4

(0,0), (3, 1), (6, 2); 1/3

(0,0), (4, 2), (8, 4); 0.5

Step-by-step explanation:

Part a:

Choose any 3 values for x. Plug them into the equation and find the corresponding y values.

y = 4x

Let x = 0:

y = 4x = 4(0) = 0

First point: (0, 0)

Let x = 1:

y = 4x = 4(1) = 4

Second point: (1, 4)

Let x = 2:

y = 4x = 4(2) = 8

Third point: (2, 8)

Answer to part a:

(0, 0), (1, 4), (2, 8)

The constant of proportionality is k in the equation of a proportional relationship, y = kx

y = 4x

Constant of proportionality: 4

Part b:

y = (1/3)x

Let x = 0, 3, 6 (one at a time)

For x = 0, y = (1/3)(0) = 0

For x = 3, y = (1/3)(3) = 1

For x = 6, y = (1/3)(6) = 2

Answer to part b:

(0,0), (3, 1), (6, 2)

Constant of proportionality: 1/3

Part c:

y = 0.5x

Let x = 0, 4, 8 (one at a time)

For x = 0, y = (0.5)(0) = 0

For x = 4, y = (0.5)(4) = 2

For x = 8, y = (0.5)(8) = 4

Answer to part b:

(0,0), (4, 2), (8, 4)

Constant of proportionality: 0.5

6 0

3 years ago

Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a law

Alika [10]

Answer:

2 acres/hour

Step-by-step explanation:

Please share the possible answer choices. Thank you.

If two points on this straight line graph are (3, 1.5) and (5, 2.5), then we can find the slope of this line as follows:

As we move right from x = 3 to x = 5, x (the "run") increases by 2 and y (the "rise") increases by 1. Thus, the slope of this line is m = rise / run = 2/1, or

m = 2.

area mowed

The units of measurement here are m = ----------------------

time spent

and so we could conclude that the rate is 2 acres per hour.

5 0

3 years ago

Read 2 more answers

You and your friend decide to conduct a survey at your school to see whether students are in favor of a new dress code policy. Y

Doss [256]

Answer:

34% in favor of the new dress code

Step-by-step explanation:

Because it has a higher percentage and when there is only 16% of students that doesn't really prove the claim or statement. But, when there is more participating or voting that claim or statement is supported.

7 0

3 years ago

In circle C, r = 32 units.

katen-ka-za [31]

Answer: $1024\pi$ square units

Step-by-step explanation:

$A=\pi r^{2}\\\\A=\pi(32)^{2}\\\\A=\boxed{1024\pi}$

6 0

2 years ago