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8090 [49]
2 years ago
8

Jim walked 1/2 of a mile in 1/4 of an hour. at this rate how long will it take him to walk one mile

Mathematics
1 answer:
Kay [80]2 years ago
6 0

Answer:

1/4=25 minutes an hour

25×2=50

it will take him 50 minutes

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What equation is equivalent to 9^x - 3 = 729?
swat32

Answer: 9^(x-3) = 9^3

Step-by-step explanation:

Realizing that 729 = 9^3, we can rewrite the equation ...

9^(x -3) = 729

as ...

9^(x -3) = 9^3 . . . . . . matches the second selection

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Recognizing that 9 = 3^2, a couple of other equivalent forms can be made.

(3^2)^(x -3) = (3^2)^3

3^(2x-6) = 3^6

or, taking the square root, ...

3^(x -3) = 3^3

None of these forms match any answer choices.

_____

The solution will be found by matching exponents:

x -3 = 3

x = 6

6 0
2 years ago
Elise built a rectangular vegetable garden that is 9 feet long and has an area of 72 square feet.
NikAS [45]
If you are looking for the width of the garden, it would be 8 feet
6 0
3 years ago
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How many rectangular prisms 8 inches long, 5 inches wide, and 2 inches high can fit into another rectangular prism that measures
tangare [24]

Answer:

20

Step-by-step explanation:

Volume of rectangular prism = length × width × height

Length = 8 inches

Width = 5 inches

Height = 2 inches

Volume of rectanglular prism = length × width × height

= 8 inches * 5 inches * 2 inches

= 80 inches ³

Dimensions of another rectangular prism:

Length = 16 inches

Width = 10 inches

Height = 10 inches

Volume of rectangular prism B = length × width × height

= 16 inches * 10 inches * 10 inches

= 1,600 inches ³

Number of prism A that fits into prism B = Volume of prism B ÷ volume of prism A

= 1,600 inches ³ ÷ 80 inches ³

= 20

Number of prism A that fits into prism B = 20

8 0
3 years ago
What is the prime factorization of 154?
kap26 [50]

Answer:

C. 2 × 7 × 11

Step-by-step explanation:

2 × 7= 14

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2 years ago
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1,8,27; 64; Rule Missing numbers​
zubka84 [21]

Answer:

  rule: f(n) = n³

  missing numbers: 125, 216, 343, 512, 729

Step-by-step explanation:

Your familiarity with the cubes of small integers helps you recognize each of these numbers is a cube. Their sequence is the sequence of cubes of increasing natural numbers.

  1 = 1·1·1 = 1³

  8 = 2·2·2 = 2³

  27 = 3·3·3 = 3³

  64 = 4·4·4 = 4³

__

The rule is ...

  f(n) = n³

The cubes of 5 through 9 will complete the set of numbers ...

  1, 8, 27, 64, 125, 216, 343, 512, 729

7 0
2 years ago
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