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mylen [45]
1 year ago
13

if mr sulivan drove 7hrs within 385 miles and then he drives 3 hrs in the distance of 165 miles is the amount of time of the two

trips proportional relationship
Mathematics
1 answer:
ehidna [41]1 year ago
6 0

the amount of time of the two trips is a proportional relationship

<h3>What is proportional relationship?</h3>

mathematical expressions are said to be proportional if there unit rate are equal. this means that the expressions will give similar results when similar values are substituted into the equation.

<u>solution:</u>

Driving 7 hrs within 385 miles represents a unit rate of 385 / 7 = 55 miles per hour or 55 mph

while 3 hrs in 165 miles represents a unit rate of 165 / 3 = 55 mph

since both situations gave similar speed in miles per hour they are said to have a proportional relationship.

Read more on proportional relationship here: brainly.com/question/12242745

#SPJ1

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Please help very urgent
Alik [6]

Answer:

32, <u>16</u>, <u>8</u>, <u>4</u>, <u>2</u>, 1

Explanation:

The geometric mean can be represented by \sqrt[n]{x_{1} • x_{2} • x_{3} • .. x_{n}}.

Which is the mean of the product of n numbers, used to find the average of a geometric progression.

Don't get confused by geometric mean, it is only asking you about the next numbers in the geometric sequence given the first and sixth term.

The explicit rule for a geometric sequence can be modeled by:

a_{n} = a_{1} • r^{n-1}

Where a_{n} is the nth term, a_{1} is the first term in the sequence, n is the term number, and r is the common ratio.

Since we already know the first term, a_{1} will simply be 32.

Since we know it's geometric, there will be an exponential relationship, which means that we will use the geometric mean to find the common ratio.

There are 6 total terms, r is raised to the n – 1 so 6 – 1 = 5, and that will be the degree of this root.

\sqrt[5]{\frac{a_{6}}{a_{1}}} =

\sqrt[5]{\frac{1}{32}} =

\frac{1}{2}.

Therefore: r = \frac{1}{2}.

Using all the information we have, we can find the explicit rule:

a_{n} = a_{1} • r^{n-1}

  • a_{1} = 32
  • r = \frac{1}{2}

a_{n} = a_{1} • r^{n-1} →

\boxed{a_{n} = 32 • (\frac{1}{2})^{n-1}}

________________________________

We can test that this works by substituting the number location of the term you want to find.

For instance:

a_{1} = 32 • (\frac{1}{2})^{1-1}

a_{1} = 32 • (\frac{1}{2})^{0}

a_{1} = 32 • 1

a_{1} = 32

a_{6} = 32 • (\frac{1}{2})^{6-1}

a_{6} = 32 • (\frac{1}{2})^{5}

a_{6} = 32 • \frac{1}{32}

a_{6} = 1

3 0
2 years ago
Read 2 more answers
Please I need help with this I don't understand my teacher gave us a valentines day assignment like what the heck I seriously do
Helen [10]

Answer:

A) 5x = y

B) 2x \leq 100

Step-by-step explanation:

A is 5x = y because there are 5 pink hearts per the number of boxes (x) bought.

B uses the equation 2x is less than or equal to 100 because the teacher is spending 2 dollars per kid and can spend a maximum of 100.

The graph for this is attached.

6 0
2 years ago
What is the area of the figure?
rewona [7]

Answer:

57 square feet

Step-by-step explanation:

Split the boxes into two parts.

One box measuring 11.5 ft long and 3 ft wide. (Box A)

The second box measuring 7.5 ft long and 3 ft wide. (Box B)

Area (figure) = Area of box A + Area of box B

Area of box A

3 × 11.5 = 34.5 ft²

Area of box B

3 × 7.5 = 22.5 ft²

Area of figure = 34.5 + 22.5

Area of figure = 57 ft²

3 0
2 years ago
Phil is making a boat. His small model is 24 inches long and 4.75 inches wide. He is finalising it, and it is 8 feet long. How w
Maslowich

your answer would be 19 inches because 24 divided by 12(length of a foot in inches) is 2 and therefore you also divide 4.75 by 2 to get 2.375 and multiply that by 8 the amount of feet and your done

6 0
3 years ago
You are paid $8.35/hr at your part-time job. Your deductions are FICA (7.65%), federal tax withholding (9.15%), and state tax wi
Nikolay [14]
The answer is 87.01. Good Luck
6 0
3 years ago
Read 2 more answers
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