A boat traveled 240 miles downstream and back. The trip downstream took 12 hours. The trip back took 24 hours. What is the speed of the boat in still water? What is the speed of the current?

Hi there!

Step By Step Explanation:

Answer:

Add the equations together

Step-by-step explanation:

The reason why I know this is because they are all like terms so that would be the smartest choice to do first.

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Answer:

x = 5

Step-by-step explanation:

the supplementary angle of (19x-18) = 180 - (19x-18) = 198-19x

all interior angles of a triangle = 180 degrees

180 = (7x+1) + (10x-9) + (198-19x)

180 = 7x+10X-19x+1-9+198

180 = -2x+190

-2x = -10

x = 5

Answer:

108 %

Step-by-step explanation:

Answer:

51%

Step-by-step explanation:

(Amount of change/original value)

25.99÷49.99=0.51

Answer:

30 yards of fence

Step-by-step explanation:

First, convert 60 feet to yards and 30 feet to yards. Remember, 1 foot= 3 yards.

60/3= 20 yards

30/3= 10 yards

Then you add the length and the width of the fence (in yards) to find the total yards of fence.

20+ 10= 30 yards of fence

Answer:

(-2,3)

Explanation:

x-coordinate: -2

y-coordinate: 3

Answer:

4 hours

Step-by-step explanation:

Find out how much he earns an hour.

7 hours = 145.60

1 hour = 145.60 ÷ 7 = 20.80

83.20 ÷ 20.80 = 4 hours (Find out how much hours Jose has to work to earn 83.20)

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Explanation:

For each row, divide the earnings over the sales.

All of these decimal values have the following conversions to percentages

If we add up those percentages and divide by 4, we get the average percentage

(3.27+2.85+3.08+2.90)/4 = 3.025

So the average percentage of these four is 3.025%

So for instance, if you made $1000 in sales, then 0.0325*1000 = 32.50 would be the estimated earnings.

A good estimate in my opinion is the equation c = 0.0325d since 3.025% converts to the decimal form 0.0325

Another method you could use is linear regression to help estimate. Though this method is a lot more complicated involving many more steps. It's better to use technology (eg: graphing calculator) if you go this route. The linear regression line is approximately y = 0.02896x + 2.00732; we can see the slope 0.02896 isn't too far off from 0.0325. Other forms of regression are possible as well.

Answer:

Y = 5.63

Step-by-step explanation:

137 = 47 + 16y

16y = 90

y = 5.625

Answer:

Multyplying by 1 third is the same as dividing by 3, so it's the opposite as multiplying by 3.

Answer:

40%

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

Answer:

2.4582​, 3.6, 3.601,  3.61

Step-by-step explanation:

G(x) = 2/3 x - 6     switch x and y around and solve for y.

y = 2/3 x - 6

x = 2/3 y - 6

x + 6 = 2/3 y

3/2  x + 9 = y

Answer:

97/139

Step-by-step explanation:

You add every thing but red so 45+20+32 which equals 97, so 97 is your numerator and to get the denominator you add all the numbers together so 42+45+20+32 which equals 139.

Probability that candy picked is purple or not red is [tex]\frac{32}{151}[/tex].

The probability of an event can be calculated by probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes. The value of the probability of an event to happen can lie between 0 and 1 because the favorable number of outcomes can never cross the total number of outcomes. Also, the favorable number of outcomes cannot be negative.

According to the question

A bag contains 42 red, 45 green, 20 yellow, and 32 purple candies.

You pick one candy at random.

We have to find probability that it is purple or not red.

Formula for probability:

[tex]P(E) = \frac{Number \ of \ favorable \ outcomes}{Total \ number \ of \ favorable \ outcomes}[/tex]

Total number of favorable outcomes = [tex]42+45+20+32 =151[/tex]

Number of favorable outcomes = 32

Probability that it is purple or not red.

[tex]P(E)=\frac{32}{151}[/tex]

Hence, Probability that candy it is purple or not red is [tex]\frac{32}{151}[/tex].

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Answer:

49.093

Step-by-step explanation:

Given the regression equation :

ŷ = –0.227x + 50.455

x represents the price of bobbleheads (measured in dollars)

ŷ is the predicted demand of bobbleheads (in units).

Preductwd demand ; when x = 6

ŷ = –0.227(6)+ 50.455

= 49.093

Answer:

y = 6

Step-by-step explanation:

line of an equation: y = mx +c

where c is y-intercept, m is gradient and y and x are the y and x coordinates.

For finding the line of an equation we first find a gradient

gradient = (y2 -y1) / (x2 - x1)

so; (6-6) / (7-(-5)) = 0/12 = 0

next using any pair of coordinates we will find the c (y-intercept)

6= 0 (-5) + c

c = 6

so the equation will be

y = mx + c

(add the values you just found)

y = (0)x + 6 (since anything multiplied by 0 is 0 so we can write its like;)

y = 6

Answer:

[tex]\boxed {\boxed {\sf b=60 \ meters}}[/tex]

Step-by-step explanation:

This is a right triangle because of the small square in the corner representing a 90 degree angle.

Therefore, we can use the Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

Where a and b are the legs and c is the hypotenuse.

80 and b are the legs, because they form the right angle. 100 is the hypotenuse because it is opposite the right angle.

[tex]a=80 \\b=b \\c=100[/tex]

[tex](80)^2+b^2=(100)^2[/tex]

Solve the exponents.

[tex]6400+b^2=10000[/tex]

Solve for the unknown by isolating the variable. First, subtract 6400 from both sides.

[tex]6400-6400+b^2=10000-6400\\b^2=3600[/tex]

Take the square root of both sides.

[tex]\sqrt {b^2}= \sqrt {3600}\\b=60 \\b= 60 \ m[/tex]

The missing leg is 60 meters.

Answer:

$69

Step-by-step explanation:

Price of book after the price increase

= 60 + 15% of 60

= 60 + 0.15*60

= 60 + 9.0

= $69

Answer:

Don't feel so .

Every failure is a step to Sucess .

20 ways to remain motivated after you fail :

1. Take time to heal emotionally

2. Remind yourself that there is no success without failure

3. Learn from your mistakes ❌✔

4. Create a positive mindset

5. Find the opportunity to grow

6. Do not dwell on your mistakes accept them

7. Choose to be happy

8. Use your mistakes to master your art

9. Continue pressing forward ‍

10. Think about what to do next

11. Remember that you are not the only one who failed

12. Write down a list of your successes ✍

13. Think back on your past failures

14. Get inspired

15. Focus on your other goals

16. Visualise your sucess

17. Remember that staying a failure is a choice

18. Surround yourself with positive people ‍

19. Take a step back

20. Get yourself organised

Answer:

(photo)

Step-by-step explanation:

Since the b in the format is +3 you would have to graph it on the positive three on the y axis then you graph the rise/ run which is 3x

Answer:

Step-by-step explanation:

The solution is, The answer for this case is given by:

y = 2 ^ (x + 2) +3

option 2

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

For this case we observe the cut point with the y axis in:

(0, 7)

The function that complies with this is:

y = 2 ^ (x + 2) +3

We have then:

y = 2 ^ (0 + 2) +3

y = 2 ^ (2) +3

y = 4 + 3

y = 7

Answer:

The answer for this case is given by:

y = 2 ^ (x + 2) +3

option 2

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Answer:

3.5 GPA

Step-by-step explanation:

I used a GPA calculator.

Answer:

Step-by-step explanation:

Find the roots of x² - 17x - 60

Quadratic formula

x = [17 ± √(17² – 4·1(-60))] / [2·1]

 = [17 ± √529] / 2

 = [17 ± 23] /2

 = -3, 20

x² - 17x - 60 = (x+3)(x-20)

Answer:

(x+3)(x-20)

Step-by-step explanation:

x^2+3x-20x-60

x(x+3)-20(x+3)

= (x+3)(x-20)

Answer:

75/100

Step-by-step explanation:

15/20 = x/100

20x = 1500

x = 1500/20

x = 75

Answer:

64.58

Step-by-step explanation:

Answer:154.84%

Step-by-step explanation:

Answer:

900 cubes with side of 1/10 ft will fill the prism completely for a total volume of 9/10 ft ³

Answer:

total volume=l×b×h=1 1/2×1 1/5×1/2=3/2×6/5×1/2

=18/20=9/10ft³

I think