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2 years ago

What is the difference between 4Σn=1, 2n+1 and 4Σi=1, (2i+1)?

Mathematics

1 answer:

alina1380 [7]2 years ago

6 0

Answer:

Step-by-step explanation:

Each expression is a way to write the sum ...

3 + 5 + 7 + 9

That sum in each case is 24, so the difference is 24-24 = 0.

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Pietro made 18 baskets during a basketball game.The number of 3 pointers are 3 more than half of the 2 point shots.how many type

blagie [28]

Total points is 23

<u>Explanation:</u>

Given:

Total number of baskets = 18

Let the number of 2 pointer shots be x

Let the number of 3 pointer shots be y

According to the question:

$y = \frac{x}{2} + 3$ -1

The equation can be formed as:

$\frac{x}{2} + 3 + x = 18$

On solving this equation further we get:

$\frac{x+6+2x}{2} = 18\\\\9x = 36\\\\x = 4$

Putting the value of x = 4 in equation 1

$y = \frac{x}{2}+3\\ \\y = \frac{4}{2} + 3\\\\y = 5$

Points for 2 pointer shots = 4 X 2

= 8

Points for 3 pointer shots = 5 X 3

= 15

Total points = 8 + 15

= 23

Therefore, total points is 23

5 0

2 years ago

In a (blank),one ratio compares a part to a whole

Verdich [7]

Answer:

In a part-to-whole ratio, one ratio compares a part to a whole.

3 0

2 years ago

It takes Wayne 1/10 hours to walk a 1/6 mile park loop. What is Wayne's unit rate, in miles per hour

olchik [2.2K]

To solve this problem, we should set up a proportion, letting x represent our unknown number of miles that Wayne walks in one hour.

1/6 mile / 1/10 hours = x miles / 1 hour

Now we use cross-products or the multiplication of the numerator of one fraction times the denominator of the other fraction, setting these two numbers equal. The resulting equation is:

1/6 = 1/10x

Finally, we must divide both sides by 1/10 to cancel it out on the right side of the equation and get the variable x alone.

x = 5/3 or 1 2/3

Therefore, Wayne walks 1 2/3 miles per hour.

5 0

2 years ago

Edmund fills his gas tank on Monday morning an then drives ten miles total for work each day of the work week. With a full tank

timama [110]

Answer:

50 miles.

Step-by-step explanation:

Edmund fills his gas tank on Monday morning an then drives ten miles total for work each day of the work week.

With a full tank of gas he can drive 100 miles.

Question asked:

How many miles can he drive on the weekend, before he he fills up again?

Solution:

With full tank he can drive a total distance = 100 miles

Each day of the work week, he drives = 10 miles

Total miles, he drive in whole work week (Monday - Friday) = $10\times5=50\ miles$

<em>Now, to find that many miles he can drive on the weekend (Saturday and Sunday), we will subtract total miles, he drive in whole work week from the total distance, he can drive with full tank of gas:-</em>

100 - 50 = 50 miles.

Therefore, he can drive 50 miles on the weekend, before he he fills up again.

4 0

2 years ago

30 POINTS A quadrilateral has vertices A(11, -7), B(9, -4), C(11, -1), and D(13, -4). Quadrilateral ABCD is a __________ A.paral

Otrada [13]

Answer:

Rombus which is D and then B

Step-by-step explanation:

If you go to desmos (website) they have a graphing calculator which allows you to graph how the shapes will look like. The first quadrilateral makes a rombus as it is a sideways square and the second quadrilateral is a kite as the rombus top point is stretched upwards.

9 0

2 years ago