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dusya [7]
3 years ago
6

PLEASE HURRY!!

Mathematics
1 answer:
Arisa [49]3 years ago
8 0

Answer:

Henry's balloon was farther from the town at the beginning and Henry's balloon traveled more quickly.

Step-by-step explanation:

The distance of Tasha's balloon from the town is represented by the function y = 8x+ 20 ............. (1)

Where y is the distance in miles from the town and x represents the time of fly in hours.

So, at the start of the journey i.e. at x = 0, y = 20 miles {From equation (1)} from the town.

Again, Tasha's balloon is traveling at a rate of 8 miles per hour.

Now, Henry's balloon begins 30 miles from the town and is 48 miles from the town after 2 hours.

So, Henry's balloon traveling with the speed of \frac{48 - 30}{2} = 9 miles per hour.

Therefore, Henry's balloon was farther from the town at the beginning i.e. 30 miles from the town. And Henry's balloon traveled more quickly i.e at the rate of 9 miles per hour. (Answer)

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Convert 62% into a fraction
Marianna [84]

Answer:

62/100 but simplified is 32/50

8 0
2 years ago
Is 0:5 and 0:20 equivalent ratios
qwelly [4]

Answer:

Not for sure but i think so

Step-by-step explanation:


4 0
3 years ago
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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
PLEAS PLEASE PLEASE HELP!!
jekas [21]

Using the given functions, it is found that:

  • Lower total cost at Jump-n-Play: 40, 64.
  • Lower total cost at Bounce house: 28, 8, 30.
  • Same total cost at both locations: 32.

<h3>What are the cost functions?</h3>

For n visits to Jump-n-play, the cost is:

J(n) = 189 + 3n.

For n visits to Bounce Word, the cost is:

B(n) = 125 + 5n.

Comparing them, we have that:

J(n) < B(n)

189 + 3n < 125 + 5n

64 < 2n

n > 32

Hence:

  • For less than 32 visits, the cost at Bounce World is lower.
  • For more than 32 visits, the cost at Jump-n-play is lower.

Hence:

  • Lower total cost at Jump-n-Play: 40, 64.
  • Lower total cost at Bounce house: 28, 8, 30.
  • Same total cost at both locations: 32.

More can be learned about functions at brainly.com/question/25537936

4 0
2 years ago
Is the square root of 4 plus the square root of 16 rational
Ahat [919]
Yes because square root of 4 is 2 and square root of 16 is 4. 4+2=6
4 0
3 years ago
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