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3 years ago

1. Express as a unit rate a) Serena walks 4 km in 1 h.

Mathematics

2 answers:

djverab [1.8K]3 years ago

7 0

We can write this as:

4 kilometers/1 hour

The unit rate is already simplified so there is nothing else to do.

Answer: 4km/1hr

Best of Luck!

wolverine [178]3 years ago

3 0

Answer:

Step-by-step explanation:

Serena walks 4 km in 1 h.

That means:

1) She walks 4 km per hour.

2) She spends 1/4 = 0.25 hour per mile.

Have a good day.

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What is the surface temperature of Alpha Centauri A in Kelvin?

artcher [175]

Answer:

5,790 K

Step-by-step explanation:

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3 years ago

Determine if the given expression is written in simplestradical form.-V 150And why?

seropon [69]

$\text{Answer : -5}\sqrt[]{6}$

Explanation

$\begin{gathered} -\text{ }\sqrt[]{150} \\ \text{This can be express further by applying the laws of surd} \\ \sqrt[]{A\text{ x B}}\text{ = }\sqrt[]{A}\text{ x }\sqrt[]{B} \\ Step\text{ 1: Find the factor of 150 that will give one p}\operatorname{erf}ect\text{ square and non - p}\operatorname{erf}ect\text{ square} \\ Factor\text{ of 150 = 25 and 6} \\ \text{Threfore, }\sqrt[]{150}\text{ can be express as }\sqrt[]{25\text{ x 6}} \\ \sqrt[]{150\text{ }}\text{ = }\sqrt[]{25\text{ x 6}} \\ \sqrt[]{150\text{ }}\text{ = }\sqrt[]{25}\text{ x }\sqrt[]{6} \\ \sqrt[]{25}\text{ = 5} \\ -\sqrt[]{150}\text{ = -5}\sqrt[]{6} \\ \text{Therefore, the simplest form of -}\sqrt[]{150}\text{ is -5}\sqrt[]{6} \end{gathered}$

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1 year ago

It took a plane 2 hours to go from Dallas to NY with the head wind and 1.5 hours to get back with the tail wind. If the speed of

vladimir2022 [97]

Answer:

360 miles

Step-by-step explanation:

let speed of plane be x

speed of wind be c

Also note D = RT, where

D is distance and R is rate and T is time

<u>For First Leg:</u>

we can write:

(x - c) * 2 = D

2x - 2c = D

<u>For Second Leg:</u>

we can write:

(x+c)*1.5 = D

1.5x + 1.5c = D

We can equate and write:

2x - 2c = 1.5x + 1.5c

0.5x = 3.5c

We know Speed of Wind, c, is 30, so we have:

0.5x = 3.5(30)

0.5x = 105

x = 105/0.5 = 210 [speed of airplane]

We know distance is

D = 2x - 2c

D = 2(210) - 2(30)

D = 420 - 60

D = 360 miles

The distance is 360 miles

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3 years ago

Explain how to multiply two numbers with different signs.

Vika [28.1K]

<h2>Answer:</h2><h2>When you multiply 2 Integers with the same signs,the result is always positive.</h2><h2>Just multiply the absolute values and make the answer positive.</h2><h2>When you multiply 2 integers with different integers the result is always negative. </h2><h2>Just multiply the absolute values and make the answer negative. </h2>

5 0

3 years ago

The price of Stock A at 9 A.M. was $12.79 Since then, the price has been increasing at the rate of $0.11 each hour. At noon t

gayaneshka [121]

Answer:

2.174 hours

Step-by-step explanation:

Let the number of hours be represented as:

The price of Stock A at 9 A.M. was $12.79 Since then, the price has been increasing at the rate of $0.11 each hour.

$12.79 + $0.11 × x

12.79 + 0.11x

At noon the price of Stock B was $13.29 It begins to decrease at the rate of $0.12 each hour.

$13.29 - $0.12× x

13.29 - 0.12x

Equating both equations together

Stock A = Stock B

12.79 + 0.11x = 13.29 - 0.12x

Collecting like terms

0.11x + 0.12x = 13.29 - 12.79

0.23x = 0.5

x = 0.5/0.23

x = 2.1739130435 hours

x = Approximately = 2.174 hours

If the two rates continue, the number of hours that the prices of the two stocks will be the same is 2.174 hours

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3 years ago