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denis-greek [22]
3 years ago
11

A car Is traveling at a speed of 90 kilometers per hour. What is the car's speed in kilometers per minute? How many kilometers w

ill
the car travel in 2 minutes? Do not round your answers.
Mathematics
1 answer:
alexgriva [62]3 years ago
7 0

\huge\boxed{\boxed{\bold{1.5\ \bftext{km/min}}}\ \boxed{\bold{3\ \bftext{km}}}}

\hrulefill

To convert from kilometers per hour to kilometers per minute, we simply divide by 60 as there are 60 minutes in an hour.

\frac{90}{60}=\frac{90\div30}{60\div30}=\frac{3}{2}=\large\boxed{1.5}

To find how far the car will travel in a certain time, just multiply the speed by the time.

1.5\ \text{km/min}*2\ \text{min}

\large\boxed{3\ \text{km}}

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charles had a sheet cake for his birthday when 9/12 remained charles took 1/3 of the remaining cake to wrap and save for later w
ollegr [7]

Answer:

He wrapped 3/4 of the cake.

Step-by-step explanation:

1/3 of 9/12 is 0.25 and 0.25 converted into a fraction is 3/4

- Hope this helps!

4 0
2 years ago
What is the relationship between ​2.57×104​ and ​2.57×10−1​ ?
Shalnov [3]

Answer:

2.57×104= 267.28

2.57×10-1= 24.7

7 0
2 years ago
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The length of a rectangle is 5.5 feet. If the area is 44 square feet what is the width of the rectangle in feet
Anit [1.1K]
If you divide the area of the rectangle by the length (44÷5.5) the answer is 8. Your answer is 8 ft.
3 0
3 years ago
craig like to collect vinyl records.last year he had 10 records in his collection.now he has 12 records.what is the percent incr
EleoNora [17]

Answer:

The percent increase is 20%.

Step-by-step explanation:

It's fairly simple.

Multiply 10 by (100/10) which is 10 to get 100.

Multiply 12 by 10 to get 120.

120 - 100 = 20

3 0
3 years ago
Which sequence is modeled by the graph below?
mariarad [96]

Answer:

a_n=27\left(\dfrac{1}{3}\right)^{n-1}

Step-by-step explanation:

From inspection of the graph, the given points are:

  • (2, 9)
  • (3, 3)
  • (4, 1)

If we draw a line through the given points, the line is a curve rather than a straight line. If the line was a straight line, the graph would be modeled as an arithmetic sequence. Therefore, as the line is a curve, the given points are modeling a geometric sequence.

<u>General form</u> of a geometric sequence:

 a_n=ar^{n-1}

where:

  • a is the first term
  • r is the common ratio
  • a_n is the nth term

Rewrite the given points as terms of the sequence:

  • (2, 9)  ⇒  a₂ = 9
  • (3, 3)  ⇒  a₃ = 3
  • (4, 1)  ⇒  a₄ = 1

To find the common ratio r, divide consecutive terms:

\implies r=\dfrac{a_3}{a_2}=\dfrac{3}{9}=\dfrac{1}{3}

Calculate the first term (a) by substituting the found value of r and the given values of one of the terms into the formula:

\implies a_2=9

\implies a\left(\dfrac{1}{3}\right)^{2-1}=9

\implies \dfrac{1}{3}a=9

\implies a=27

Substitute the found values of r and a into the general formula to create the sequence modeled by the graph:

a_n=27\left(\dfrac{1}{3}\right)^{n-1}

Learn more about geometric sequences here:

brainly.com/question/25398220

brainly.com/question/27783194

5 0
1 year ago
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