Smith drives his car and covers 450 miles in 10 hours.At the same speed, how many hours will it take to cover 540 miles?Plz help

Answers

Answer 1

Answer: $450\ miles\ in\ 10\ hours\n\n540\ miles\ in\ x\ hour\n\nmaking\ proportion:\n450-10\n540-x\n\ncross\ multiplication\n\n450=540*10\n\n450x=5400\ \ \ \ \ | divide\ by\ 450\n\nx=12\n\nIt\ will\ take\ 12\ hours.$

Answer 2

Answer: 450/10=540/x and than do cross multiply, 450x=5400 divide both side by 450 = 12 hours

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Samuel currently has an account balance of $3439.96. He open the account five years ago with the deposit of $3104.31. If the interest compounded quarterly what is the interest rate on the account?

Answers

Answer:

Step-by-step explanation:

You did leave out a 4 under the r: 1.1063 = (1+r/4)^20

So you'd do both sides to the 1/20 power since 20 • 1/20 = 1

(1.1063) ^ (1/20) = 1 + r/4

Then subtract 1, and multiply by 4

4•[1.1063 ^ (1/20) - 1) = r

Answer:

Step-by-step explanation:

$54.67

Solve the system of equations -x - 2y = 11 and -3x - 2y = -7

Answers

Answer: (9,-10) or x=9...y=-10

It takes 154 cubes with side lengths of 1/2 inch to fill a rectangular prism. What is the volume of the rectangular prism? Show your work or justify your solution.

Answers

Answer:

The volume of the rectangular prism is 19.25 inches³.

Step-by-step explanation:

Given:

It takes 154 cubes with side lengths of 1/2 inch to fill a rectangular prism.

Now, to find the rectangular prism's volume.

We first find the volume of a cube to fill in the rectangular prism.

The side length of the cube = $(1)/(2)\ inch.$

Now, to get the volume of cube we put formula:

$Volume=(side)^3\n\nVolume=((1)/(2))^3 \n\nVolume=(1)/(8)\ inch^3.$

Thus, the volume of a cube is $(1)/(8) \ inch^3.$

Number of cubes = 154.

According to question, it takes 154 cubes to fill the rectangular prism.

So, to get the volume of prism we need to find the volume of 154 cubes.

Now, to get the volume of 154 such cubes we multiply the volume of a cube by number of cubes:

$(1)/(8)* 154\n\n =(154)/(8)\n\n =19.25\ inches^3.$

Therefore, the volume of the rectangular prism is 19.25 inches³.

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Answers

The answer is A, because:
The dimentions in cm are 5cm by 3cm, so you make that to scale. The page says that 1cm is equal to 5m, so you multiply both numbers by 5 and you get 25 by 15. If you need clarification, let me know.

The answer is a because to get the length of the sides you do 7-4 which is 3 times five is 15m. To find the base you do 2 times 3 times 5 which is 25m. A) 25m. * 5m.

Which of the following expressions is equal to 1?a. 5^0 x 6^-3 x 6^3 x 5^1
b. 5^2 x 6^-2 x 6^3 x 5^-3
c. 5^2 x 5^-2 x 6^0 x 6^2
d. 5^-1 x 6^5 x 6^-5 x 5

Answers

I think it's d okay maybe

Four equivalent expressions for 100k-25k

Answers

5(20k-5k)
2(10k)-5(5k)
5(20k)-5(5k)
100k-5(5k)

1 over 4, 2 over 4, 3 over 4 and 4 over 4

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