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galina1969 [7]
4 years ago
13

6. Ed drives from Jefferson to Holden, a distance of 250 miles. He then travels on to

Mathematics
1 answer:
andreev551 [17]4 years ago
6 0

Answer:

The constant speed with Ed is travelling is 60 mile per hour

Step-by-step explanation:

Given as :

The distance cover to travel from Jefferson to Holden is (D1) 250 miles

The distance cover to travel from Holden to Paxton is (D2) 50 miles

Total time taken to complete entire journey = T = 5 hours

Let The constant speed of Ed = S mph

Time = \frac{Distance}{Speed}

Or, Time = \frac{D1}{S}  + \frac{D2}{S}

Or, 5 hour =  \frac{250}{S}  + \frac{50}{S}

Or, 5 × S = 250 + 50

So,  5 × S = 300

∴           S = \frac{300}{5}

I.e         S = 60 mph

Hence , The constant speed with Ed is travelling is 60 mile per hour Answer

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What is 8.848 rounded to the nearest hundredth?
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8.85

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Charlotte and Savannah go to the movie theater and purchase refreshments for their friends. Charlotte spends a total of $85.00 o
Rudiy27

Answer:

The system of equations that can be used to find the price of one bag of popcorn and the price of one drink are:

8p + 10d = 85

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Step-by-step explanation:

Let the price of a bag of popcorn be p

Let the price of one drink be d

Charlotte spends a total of $85.00 on 8 bags of popcorn and 10 drinks. This means

8p + 10d = 85

Savannah spends a total of $20.50 on 2 bags of popcorn and 2 drinks.

2p + 2d = 20.50

The system of equations that can be used to find the price of one bag of popcorn and the price of one drink are:

8p + 10d = 85 ----------1

2p + 2d = 20.50 - - - - - -2

Solving the equations with elimination method, multiply equation 1 by 2 and equation 2 by 8

16p + 20d = 170

16p + 16d = 164

Subtracting,

4d = 6

d = 6/4 = $1.5

Put d = 2 in equation 1

8p + 15 = 85

p = 70/8 = $8.75

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Select all the numbers that are greater than 7.612.
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What is the missing pattern 7, 11, 2, 18, -7
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The <em>missing</em> pattern behind the sequence 7, 11, 2, 18, -7 is described by the formula n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}, equivalent to the <em>recurrence</em> formula a_{n+1} = a_{n} + (-1)^{i+1}\cdot (i + 1)^{2}.

<h3>What is the missing element in a sequence?</h3>

A sequence is a set of elements which observes at least a <em>defined</em> rule. In this question we see a sequence which follows this rule:

n = 7 + \sum \limits_{i= 1}^{n} (-1)^{i+1}\cdot (i + 1)^{2}      (1)

Now we prove that given expression contains the pattern:

n = 0

7

n = 1

7 + (- 1)² · 2² = 7 + 4 = 11

n = 2

7 + (- 1)² · 2² + (- 1)³ · 3² = 11 - 9 = 2

n = 3

7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² = 2 + 16 = 18

n = 4

7 + (- 1)² · 2² + (- 1)³ · 3² + (- 1)⁴ · 4² + (- 1)⁵ · 5² = 18 - 25 = - 7

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To learn more on patterns: brainly.com/question/23136125

#SPJ1

8 0
2 years ago
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