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At top speed, the Spirit of Australia boat can cover 1,533 kilometers in 3 hours. At what unit rate does the boat travel during this time frame?


The boat travels at a unit rate of ____ kilometers per hour during the given time frame.

Answer:

2 hours and 44 mins

Step-by-step explanation:

Final answer:

Mary and her roommate can clean the apartment together in approximately 2.73 hours. This is calculated by adding their individual cleaning rates and then taking the reciprocal of the sum to find the total time.

Explanation:

The question asks how long it would take for Mary and her roommate to clean the apartment if they worked together. Mary can clean the apartment in 6 hours, which means in one hour, she can clean 1/6 of the apartment. Her roommate can clean the apartment in 5 hours, so in one hour, the roommate can clean 1/5 of the apartment. Working together, their combined cleaning rate per hour is 1/6 + 1/5. To find their combined rate, we get a common denominator, which is 30, so their rates become 5/30 and 6/30, respectively. Summing these, we get a combined rate of 11/30 of the apartment cleaned per hour. To find the amount of time it takes for them to clean the entire apartment together, we divide 1 by their combined rate, so 1 / (11/30) = 30/11 hours which is approximately 2.73 hours.

Step-by-step explanation:

[tex]p\%=\dfrac{p}{100}\\\\\\35\%=\dfrac{35}{100}=0.35\\\\35\%\ of\ 120\to0.35\cdot120=42\\\\\\12\%=\dfrac{12}{100}=0.12\\\\12\%\ of\ 50\to0.12\cdot50=6\\\\\\55\%=\dfrac{55}{100}=0.55\\\\55\%\ of\ 40\to0.55\cdot40=22[/tex]

Answer:

y = (x - 4)² + 2

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

here (h, k) = (4, 2), thus

y = a(x - 4)² + 2

To find a substitute a point that lies on the curve into the equation

Using the point (2, 6), then

6 = a(2 - 4)² + 2

6 = 4a + 2 ( subtract 2 from both sides )

4 = 4a ( divide both sides by 4 )

a = 1

Hence

y = (x - 4)² + 2 ← equation in vertex form

Answer:

The answer is B)

Step-by-step explanation:

First, we look at what we know. There are two points on the graph that we know, (0, 0) and (15, 5). This can give us the slope of the line.

y2 - y1 / x2 - x1 | Plug in our coordinates

5 - 0 / 15 - 0 | 5 / 15 | 1/3. Our slope is 1/3. This means that for each inch of length, the ramp rises .33 inches.

The answer is b

Have a great day.

Answer:

55.75

Step-by-step explanation:

First you start by doing what is in the parenthesis. so we divide 6 by 24 which gets us 0.25. Then we follow the rest of PEMDAS. Addition is next so we add 8 to 0.25 to get 8.25. Now we finally get to the fun part. 4 to the third power which is 64, then we subtract 8.25 to get 55.75. Hope that helps.

Answer neither 8 nor 9 are prime!!!

Answer:

2.13

Step-by-step explanation:

because 2.1349 is closer to 2.13 than 2.14 because the number 4 is less than 5 so it's closer to 0

When round a number to the nearest hundredth, digit in the thousandths place should be focused.

To round the number 2.1349 to the nearest hundredth, look at the digit in the thousandths place, which is 4 in this case.

When rounding to the nearest hundredth, consider the digit immediately to the right of the hundredth place, which is the digit in the thousandths place. In this case, 4 is less than 5.

1. Start with the number 2.1349 on a number line.

2. Look at the digit in the thousandths place (4). Since it's less than 5, we do not need to round up.

3. Therefore, 2.1349 rounded to the nearest hundredth is 2.13.

If it's 5 or greater, you round up; if it's less than 5, you leave the hundredths place unchanged. In this case, 4 is less than 5, so we round down to 2.13.

Learn more about Rounding off here:

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Answer:

10

Step-by-step explanation:

2-1 =1

7+3 = 10

10(1)^2 =

10(1) =

10

Answer:

7+3(2-1)^2=10

Step-by-step explanation:

1.Subtract: 2 - 1 = 1

2.Exponentiation: the result of step #1 ^ 2 = 1 ^ 2 = 1

3.Multiple: 3 * the result of step #2 = 3 * 1 = 3

4.Add: 7 + the result of step #3 = 7 + 3 = 10

Answer:

a. 141.75 m

b. 65.21 m

Step-by-step explanation:

One spool = 6.75 m

total ribbon = 21 spools

a) total spool in meter = 6.75×21 = 141.75 m

unit meter cost = 141.75×2 = 283.5 m

b) if the club uses 76.54 m then 141.75- 76.54 m = 65.21 m of ribbon left

Hey!

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Answer: 0.92

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Explanation: The correlation will be between 1 and -1. 1 being positive and -1 being negative. The highest number that is closest to the r value is the strongest correlation.

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Hope This Helped! Good Luck!

Answer:

0.71

Step-by-step explanation:

Answer:

(3,-2)

Step-by-step explanation:

Midpoints bisect a line into two perfectly congruent segments. So, you can find that f was translated down 5=(8-3) and left 1=(5-4). then repeat this step by subtracting x of point e by 1 and the y of point e by 5 to get (3,-2)

Answer:

(3, -2)

Step-by-step explanation:

( x1 + x2 / 2, y1 + y2 / 2 )

x2 = ( x1 + E / 2 ), y2 = ( y1 + E / 2 )

5 + x / 2 = 4, 2(5 + x / 2) = 4(2) = 5 + x = 8, x = 3

8 + y / 2 = 3, 2(8 + y / 2) = 3(2) = 8 + y = 6, y = -2

Answer: Let t represent the time in years.

Step-by-step explanation: that's what the answer is for your question  exactly you don't need the explanation just "Let t represent the time in years. "

Answer:

[tex]x = <-\infty;-\frac{10}{3}>U<-\frac{2}{3} ;+\infty>[/tex]

Step-by-step explanation:

f(x) >  0  

if:

[tex]x = <-\infty;-\frac{10}{3}>U<-\frac{2}{3} ;+\infty>[/tex]

Answer:

x = -1.25

Step-by-step explanation:

2.25x + 5 = 13.5x + 14

subtract five from both sides

2.25x = 13.5x + 9

subtract 13.5x from both sides

-11.25x = 9

swap the negative

11.25x = -9

divide 11.25 from both sides

x = -1.25

Based on the given equation 2.25x+5=13.5x+14; the value of x is 0.8

Like terms refers to terms in an algebraic expression or equation which have the same variable.

2.25x+5=13.5x+14

combine like terms

2.25x - 13.5x = 14 - 5

11.25x = 9

divide both sides by 11.25

x = 9/11.25

x = 0.8

Hence, 0.8 is the value of x in 2.25x+5=13.5x+14

Read more on algebra?

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Answer: 45%

Step-by-step explanation: Well in order to get a percent, we need the denominator to be 100 and then the value we get as the numerator is the percentage which we want to calculate.

To get a 100 in the denominator of 9/20, we multiply top and bottom by 5 and we get the equivalent fraction 45/100.

Now the numerator will be our percent which is 45.

So 9/20 is equivalent to 45%.

Answer:

see explanation

Step-by-step explanation:

x = r cosΘ

y = r sinΘ

with r = 54 and Θ = 69°, thus

x = 54cos69° ≈ 19.4

y = 54sin69° ≈ 50.4

Thus (54, 69° ) as an ordered pair

= [tex]\left[\begin{array}{ccc}19.4\\50.4\\\end{array}\right][/tex]

Answer:

x = -2

Step-by-step explanation:

2x + 5 = 4x + 7

2x = 4x + 7 - 5

-2x = 2

x = -2

Answer:

x=-2

Step-by-step explanation:

this is how the answer for it

Answer:

Step-by-step explanation: ok, so you know how when you round, if the digit before the number your rounding is 1-4, then you round down, and if it is 5-9 you round up. So in this case, you round up, so the answer is

92700

Answer:

b= - 2nt-6n-6/ 3+t; t≠ -3

I hope this is what you were looking for!

Answer:

divide 10 by two

Step-by-step explanation:

easy

To determine the time required to shovel 10 driveways, additional details such as the time for one person to shovel one driveway are needed. The method of snow removal, collaboration efficiency, and driveway conditions are key factors affecting the duration.

To determine how long it will take for you and your friend to shovel 10 driveways, we need more information about the time it takes for one driveway to be shoveled by one person. Since this information is not provided, I cannot give a precise answer. However, I can discuss the factors that will affect the time required to complete the work, including the method of snow removal used, the size and condition of the driveways, the amount of snowfall, and the efficiency of you and your friend while working together.

If using hand shovels, snow blowers, or a pickup truck with a snowplow, the time will vary significantly. With hand shovels, expect it to take the longest time, as this method is labor-intensive. Using a snow blower will reduce the time compared to shoveling by hand. And finally, using a pickup truck with a snowplow will likely be the fastest method, assuming the driveways are accessible and suitable for this equipment.

The efficiency of you and your friend working as a team will also impact the duration. If you work simultaneously on separate driveways, you could potentially cut the time in half, compared to working alone. Therefore, collaboration and the chosen snow removal method will ultimately dictate the total time spent.

Answer:

Step-by-step explanation: When you have the number 1000 there are three zeros so in scientific notation you just have to mve the decimal to the right three times and you'll have your answer hope this helps!

Answer:

3

Step-by-step explanation:

it will be 3 if you want to find the positive number

Answer:

Associative Property

Step-by-step explanation:

The brackets moved, so it would be associative

Answer:

D no solution

Step-by-step explanation:

4 + 2y = 9 + 2y

-2y -2y

4=9

Answer:

Irrational, because it is non-terminating and non-repeating So Its Irrational.

Answer:

x= -7/8

Step-by-step explanation:

8x + 7 = 0

8x + 7-7 = 0-7

8x=-7

8x/8x = -7/8

Answer:

no solution

Step-by-step explanation:

use the box method to find out the factors

                 |         7      

     x^2      |

the top left and top right must multiply to 7x^2 and add up to 6x.

7 is multiplied together by 7 and 1, but only 7 and -1 can add up to 6x, so therefore there is no solution to this equation

another way is the quadratic equation

for an equation in form ax^2 +bx + c,

the quadratic equation states x = (-b + square root(b^2-4ac))/2a

in this case : x = -6 + (6^2 -28)^1/2 = -6+ (some negative root that doesn't exist)

so x = no solution

The expressions equivalent to 6 +(–x) + 2x + (–7) + 2x simplify to 3x – 1, as like terms are combined to reach the final equivalent expression.

The expressions equivalent to 6 +(–x) + 2x + (–7) + 2x can be found by combining like terms. To start, we list all the terms out:

Now, we can combine like terms:
x-terms: –x + 2x + 2x = 3x
Constant terms: +6 – 7 = –1

So the equivalent expression is:

3x – 1

To check if our answer is reasonable, we make sure that all like terms have been combined and there are no further simplifications possible.

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Answer:

2.61

Step-by-step explanation:

You have to subtract 2.9 to 0.29 because it is a positive number and you have to do the opposite. That will give you -2.61 but you still have to bring down that negative x and to get rid of the negative, you divide both sides by one since there is an understood one beside the x and a number beside another number or variable means multiplication and that will give you, 2.61.

Solving for x in 2.9−x=0.29 is a simple algebraic operation that involves adding x to both sides of the equation to cancel it on the one side and then subtracting 0.29 from both sides to find x = 2.61.

To solve for x in the equation 2.9−x=0.29, you'll need to think about it in terms of moving pieces from one side of the equal sign to the other. Therefore, if we add x to both sides of the equation, it cancels out the variable on the left. So, we have 2.9 = x + 0.29. After that, to isolate x on one side, subtract 0.29 from both sides and we end up with x = 2.9 - 0.29. When we calculate it, we get x = 2.61.

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One way to tell if a relation is a function is by using something called the vertical line test. In other words, if we can draw a vertical that passes through more than one point on a graph, then the relation does not represent a function. Another way to tell if a relation represents a function is by looking at the X coordinates of each ordered pair. If any of the ordered pairs have the same X coordinate, then the relation is not a function.

Answer: answer is D and F

Step-by-step explanation: