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Yuri [45]
3 years ago
8

In the playoffs, the Algenauts won their division playoff series 3 games to 1 and then beat their arch-rivals the Geometers in t

he League Championship series 4 games to 2. If the Algenauts won 80% of their home playoff games and 60% of their away playoff games, what percentage of their playoff games were at home?
Mathematics
1 answer:
Natasha2012 [34]3 years ago
3 0

Answer:

h = 48

Step-by-step explanation:

So they played 48 home games. They won 3/4, so they won 36 and lost 12.  

They played 48 away games. They won 2/3, so they won 32 and lost 16.  

All tolled, they won 36 + 32 = 68 games and lost 12 + 16 = 28 games.

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Currently, an employee can assemble on average, x amount of masks per hour. An INDLS student makes twice as many N95 Masks as th
PtichkaEL [24]
The correct answers is 45 masks per hour
8 0
3 years ago
find the smallest number of terms of the AP "-54,-52.5,-51,-49.5" ....that must be taken for the sum of the terms to be positive
wel

The smallest number of terms of the AP that will make the sum of terms positive is 73.

Since we need to know the number for the sum of terms, we find the sum of terms of the AP

<h3>Sum of terms of an AP</h3>

The sum of terms of an AP is given by S = n/2[2a + (n - 1)d] where

  • n = number of terms,
  • a = first term and
  • d = common difference

Since we have the AP "-54,-52.5,-51,-49.5" ....", the first term, a = -54 and the second term, a₂ = -52.5.

The common difference, d = a₂ - a

= -52.5 - (-54)

= -52.5 + 54

= 1.5

<h3>Number of terms for the Sum of terms to be positive</h3>

Since we require the sum of terms , S to be positive for a given number of terms, n.

So, S ≥ 0

n/2[2a + (n - 1)d] ≥ 0

So, substituting the values of the variables into the equation, we have

n/2[2(-54) + (n - 1) × 1.5] ≥ 0

n/2[-108 + 1.5n - 1.5] ≥ 0

n/2[1.5n - 109.5] ≥ 0

n[1.5n - 109.5] ≥ 0

So, n ≥ 0 or 1.5n - 109.5 ≥ 0

n ≥ 0 or 1.5n ≥ 109.5

n ≥ 0 or n ≥ 109.5/1.5

n ≥ 0 or n ≥ 73

Since n > 0, the minimum value of n is 73.

So, the smallest number of terms of the AP that will make the sum of terms positive is 73.

Learn more about sum of terms of an AP here:

brainly.com/question/24579279

#SPJ1

4 0
2 years ago
A stunt man wants to drive a car off a ramp at an angle of 35∘ from the ground. He already has a ramp with an angle of 15∘. He p
eduard

Answer:

The second ramp needs to have 25°.

Step-by-step explanation:

Required ramp angle for driving the car from the ground = 35°.

First ramp angle = 15°

Therefore, second ramp angle equals required ramp angle minus first ramp angle, which is = 35° - 15° = 20°

The 20° ramp angle will make the total ramp angle to be equal to 35°.

That is 15° + 20° = 35°

4 0
3 years ago
Plzzzzz ill make u brainliest like frfr
Luden [163]

Answer:

3,520 yds in 2 hours

Step-by-step explanation:

5,280:1 ; 1 mile an hour is 5,280 feet in an hour

10,560:2 ; 2 miles in 2 hours is 5,280+5,280 (10,560) feet in 2 hours

3 ft = 1 yd ; every 3 feet is a yard, so divide 10,560 by 3

10,560/3 = 3520 yds ; Jorge can walk 3,520 yds in 2 hours

6 0
3 years ago
a cake using eggs and potatoes in the ratio of 2 to 5 if he uses sex as how many potatoes will he need
tamaranim1 [39]
When eggs = 2, then potatoes = 5

Eggs: 2
Potatoes: 5

When that is changed to 6 eggs, 2 needs to be multiplied by a number to get 6.

2 * what = 6      or      6/2=

you get the number 3. A fraction is equivalent to a ratio. So if you have 2*3=6 then you need to multiply 5*3 to get the amount of potatoes you need. the answer is 15 potatoes because 5*3=15.
4 0
3 years ago
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