Hi, I could really use some help on this math problem

Hi, I Could Really Use Some Help On This Math Problem

Answers

Answer 1

Answer:

2 mph

Step-by-step explanation:

Distance = speed × time

time = distance / speed

If x is the speed of the current, then 12 + x is the downstream speed and 12 − x is the upstream speed.

The time downstream is the same as the time upstream, so:

21 / (12 + x) = 15 / (12 − x)

Cross multiply and solve:

21 (12 − x) = 15 (12 + x)

252 − 21x = 180 + 15x

72 = 36x

x = 2

Let's check our answer.  At 14 mph, he can travel 21 miles in 1.5 hours.  At 10 mph, he can travel 15 miles in 1.5 hours.

So the speed of the current is 2 mph.


Related Questions

(01.01 LC) Which of the following is the portion of a line that starts at one point and goes off in a particular direction to infinity? Angle Circle Ray Vertex

Answers

Answer:

The answer is Ray

Step-by-step explanation:

Answer:

In FLVS the answer is Ray I believe

Step-by-step explanation:

Hope this helps you :)

Describe the end behavior for the cubic function f (x)=-x^3-4

Answers

Answer:

"Cubic functions are functions with a degree of 3 (hence cubic ), which is odd. Linear functions and functions with odd degrees have opposite end behaviors. The format of writing this is:

x → ∞ ,  f ( x ) → ∞

x → − ∞ ,  f ( x ) → − ∞

For example, for the picture below, as x goes to  ∞

, the y value is also increasing to infinity. However, as x approaches - ∞

, the y value continues to decrease; to test the end behavior of the left, you must view the graph from right to left!!

graph{x^3 [-10, 10, -5, 5]}

Here is an example of a flipped cubic function, graph{-x^3 [-10, 10, -5, 5]}

Just as the parent function (

y = x 3

) has opposite end behaviors, so does this function, with a reflection over the y-axis.

The end behavior of this graph is:

x → ∞ ,  f ( x ) → − ∞x → − ∞ ,  f ( x ) → ∞

Even linear functions go in opposite directions, which makes sense considering their degree is an odd number: 1."

-website

Step-by-step explanation:

Carlos is two-thirds of his grandfather's height. If his grandfather is 6 feet tall, how tall is Carlos?

Answers

Answer:

he is 4 feet

Step-by-step explanation:

Answer:

2/3 x 6 = 4

2/3 x 3 = 2

Therefore, two thirds of 6 feet 3 inches is equal to 4 feet 2 inches.

Step-by-step explanation:

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119 divided by 17? with remainder?

Answers

Answer:

A number, when divided by 119, leaves a remainder of 19. If it is divided by 17, it will leave a remainder of 2

Step-by-step explanation:

There is no remainder, and the quotient is 7.

When dividing 119 by 17, we find:

119 ÷ 17 = 7

The quotient is 7. However, there is no remainder because 119 is evenly divisible by 17.

Therefore, 119 divided by 17 is 7 with no remainder.

Learn more about Mathematical operations here:

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Choose the answer that best represents the situation described below.
Michelle is going to tile the bathroom floor. She knows that the smaller the
tiles are, the more tiles she will need to cover the floor.
O A. The size of the tiles is a function of the size of the floor.
OB. The number of tiles needed to cover the floor is a function of the
size of the tiles.
C. The size of the tiles is a function of the number of tiles needed to
cover the floor.

Answers

Answer:

The size of the tiles is a function of the number of tiled needed to cover the floor.

At a football stadium, 10% of the fans in attendance were teenagers. If there were 330
teenagers at the football stadium, what was the total number of people at the
stadium?

Answers

Answer: 3300 teenagers

Step-by-step explanation:

10/100

330/x

After you cross multiply then divide, x equals 3300.

2 years, 28 years, 2 years, 20 years, 22 years

What is the mean age of these trees?

5.6 years
12 years
14.8 years
26 years

Answers

Step-by-step explanation:

mean means averageie 2+28+2+20+22/5 = 14.8 years

Help me out here pls

Answers

Answer: I'm pretty sure it's b.

Step-by-step explanation:

When you simplify negative exponents u have to change it to a fraction out negative exponents in bottom and make the exponents positive

Two consecutive numbers add up to 40. What are the 2 numbers? Please hurry and help

Answers

Answer:

19.5 and 20.5.

Step-by-step explanation:

There can't be any whole number answer, because an even number plus an odd number will always be odd. So, you have to add a .5.

Answer:

21 and 19

Step-by-step explanation:

21+19=40

Find the product of (0.7) 104 and 2.
O 1.4x104
O 1.4x10²
O 0.14x104
O 14x104

Answers

Step-by-step explanation:

1.4 × 104

i.e (0.7 × 2) × 104

= 1.4 × 104 ≈ 145.6

A certain university has 18 vehicles available for use by faculty and staff. Five of these are vans and 13 are cars. On a particular day, only two requests for vehicles have been made. Suppose that the two vehicles to be assigned are chosen at random from the 18 vehicles available. (Enter your answers as fractions.) (a) Let E denote the event that the first vehicle assigned is a van. What is P(E)? (b) Let F denote the probability that the second vehicle assigned is a van. What is P(F | E)? (c) Use the results of parts (a) and (b) to calculate P(E ∩ F).

Answers

Answer:

a

 [tex]P(E) = 0.278 [/tex]

b

  [tex]P(F |E) = 0.2353 [/tex]

c

[tex] P(E and F) = 0.0654[/tex]

Step-by-step explanation:

The number of vehicles available is [tex]N = 18[/tex]

The number of vans is k = 5

The number of cars is n = 13

Generally P(E) is mathematically represented as

[tex]P(E) = \frac{k}{N}[/tex]

=>    [tex]P(E) =  \frac{5}{18}[/tex]

=>    [tex]P(E) = 0.278 [/tex]

Generally P(F| E)  means the probability that the second vehicle assigned is  a van given that the first one selected is a van this mathematically calculated as

      [tex]P(F |E) =  \frac{5 -1}{18-1}[/tex]

        [tex]P(F |E) =  \frac{4}{17}[/tex]

        [tex]P(F |E) = 0.2353 [/tex]

Generally  [tex]P(F | E)[/tex] is also mathematically represented as

      [tex]P(F | E) = \frac{P(E and F)}{P(E)}[/tex]

=>   [tex] P(E and  F) =P(E) * P(F | E)[/tex]

=>   [tex] P(E and  F) = 0.278  * 0.2353[/tex]

=>[tex] P(E and  F) = 0.0654[/tex]

Solve for x.
2+x+1=2x-3

Answers

Answer:

6=x

Step-by-step explanation:

2+x+1=2x-3

Combine like terms

x+3 = 2x-3

Subtract x from each side

x+3-x =2x-3-x

3 = x-3

Add 3 to each side

3+3 =x-3+3

6=x

Answer:

The value of variable 'x' is 6.

Step-by-step explanation:

Solving this problem entails of identifying the value for the variable in the equation. We can start by combing the like terms on the left side of the equation. The terms 2 and 1 are the only common terms so these will be the ones we combine and add.

2 + x + 1 = 2x - 3

(2 + 1) + x = 2x - 3

3 + x = 2x - 3

In this step we will use the subtraction property of equality. This means we need to subtract the term 'x' from both sides of the equation.

3 + x = 2x - 3

3 + x - x = 2x - x - 3

3 = x - 3

This next step involves a similar property to the one we used in the last step. It is known as the addition property of equality. This means we need to add 3 to both sides of the equation. Eventually, we will find the value of the variable.

3 = x - 3

3 + 3 = x - 3 + 3

6 = x

It's always best to represent the value of 'x' with 'x' displayed on the left side of the equation.

9 = x

x = 6

We have now reached the 'point of no return' or the point of the equation where we can no longer simplify it any further. This shows that the value of the variable is 6.


How are integers and their opposites related? Select all that are true.

Answers

Intergers and their opposites are related because they are opposite of each other on the number line

Simplify to lowest terms.
24/42

Answers

Answer:

4/7

Step-by-step explanation:

first simplify it to 12/21 when you divide both sides by 2

then simplify to 4/7 when you divide both sides of 12/21 by 3

Answer:

4/7

Step-by-step explanation:

Both numbers in the fraction are divisible by 6, so to simplify it, divide each number by 6:

24/6 = 4

42/6 = 7

Then, put these 2 numbers in fraction form:

4/7

So, 4/7 is the simplified fraction.

i need help asap... plot the image of B under a dilation about point P with a scale factor of 1/2

Answers

Answer:

search your question in the search and you will find your answer It will be the first one  

it credits to this amazing person

ApusApus Ace

Answers

6.1k      Brainliest

                 70

Thanks

28.6K

Step-by-step explanation:

Answer The answer is not on there when you search and I think the aswer is 4 down 2 left

Step-by-step explanation:

Helpp please! And don’t guess this is very important!!

Answers

Answer:

12.8 or option 3

Step-by-step explanation:

So this is actually a proportion:

The large triangle to the smaller one:

The angles of the triangles are the same so they are proportional

We know the larger one is 20/8 times the smaller one's sides because

YZ =  something times QR so:

20 = 8 times 20/8

In order to find PR, we have to divide ZX by the proportion rate thing so:

32 / (20/8)

= 32 * 8/20

= 64/5

= 12.8

In which line did the student make the first mistake?

Answers

It’s line 4. She subtracted the final from the initial. The distance formula requires you to subtract the initial from the final. That’s the formula for displacement in x and y.

John had 136 ml liquid medicine in the bottle. After John took some medicine, there was 119 ml liquid medicine left in the bottle. What was the percentage decrease in the volume of liquid medicine?As a percent

Answers

Answer:

12.5%

Step-by-step explanation:

x= 136- 119

x= 17

p= 17x 100/136= 12.5%

What is the product of 2x + 3 and 4x? – 5x +62

Answers

Answer:

8x² + 7x+62

Step-by-step explanation:

(2x +3)(4x) =8x² + 12x

8x²+ 12x - 5x + 62= 8x²+7x+62

oes regular exercise reduce the risk of a heart attack? Provided are two ways to study this question. A researcher finds 20002000 men older than age 4040 who exercise regularly and have not had heart attacks. She matches each with a similar man who does not exercise regularly, and she follows both groups for 55 years. Another researcher finds 40004000 men older than age 4040 who have not had heart attacks and are willing to participate in a study. She assigns 20002000 of the men to a regular program of supervised exercise. The other 20002000 continue their usual habits. The researcher follows both groups for 55 years. Select the correct explanation clearly detailing why the second design will produce more trustworthy data.

Answers

Answer:

The first design does not specify the age and the number of the group not exercising.

Step-by-step explanation:

The second design will produce more trustworthy data because there are equal number of men above the age of 40 grouped into two categories those who exercise and those who do not exercise.

The first design does not produce such accurate results because the two sample sizes may be quite different and the second group may have candidates of any age other than 40.

The null hypothesis for this design will be u ≠ 40 against the alternate hypothesis that u= 40.

This will give a two tailed test.

All the result possibilities will be for  both men aged above 40 and below 40 excluding out only the 40 aged men.

In the second design the sample sizes are same and the both samples may have men aged older than 40

The null hypothesis for this design will be u => 40 (Mean is greater and equal to 40) against the claim u < 40 .

This will give a one tailed test.

So this design will give better results.

All the result possibilities will be for men aged above 40.

how are reflections mathematical formulas used in the computer industry?

Answers

Answer  When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.

Step-by-step explanation:

A ______ of a number is that number times any whole number.

Answers

Answer:

The answer to the blank would be the word "multiple"

The answer to the number that is a number times any whole number is called: Multiple

What is the Multiple of a Number?

A multiple in maths refers to numbers that you get when you multiply a particular number by an integer. For example, the multiples of 5 are: 10, 15, 20, 25, 30…etc. Meanwhile, Multiples of 7 are: 14, 21, 28, 35, 42, 49…etc.

Thus, from the question we can conclude that  the multiple of a number is that number times any whole number.

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I need help please thank you ​

Answers

For the point-slope equation, we need the y-intercept and the slope of the line

From the graph, we can see that the y-intercept of the given line is '3'

To find the slope, we will take the line of the graph from (-2,0) to (0,3)

in between these points, we can see that the rise = 3 and the run = 2

Slope  = rise / run

Slope  = 3/2

Now making the point-slope equation

the general form of these equations is :

y = mx + b (where m is the slope and b is the y-intercept)

Therefore the equation is

y = (3x/2) + 3

What is m (There is no multiple choice just find m

Answers

Answer:

[tex]160[/tex] degrees.

Step-by-step explanation:

Line ABC is a straight line, and the angle on a straight line is always 180 degrees.

Since ABD + DBC = ABC, we know that [tex]x+8x=180[/tex]

[tex]9x=180[/tex]

Divide both sides by 9:

[tex]x=180\div 9=20[/tex]

DBC is [tex]8x=8\times 20=160[/tex] degrees.

Answer:

160 degrees

Step-by-step explanation:

Because it is the "Correct Answer"

Simplify the expression.

56 ÷ (–7)

Answers

Answer:

-8  2/7

Step-by-step explanation:

Answer:

Step 1:

[tex]56 \div ( - 7)[/tex]

Write the equation

step 2:

[tex] = \frac{56}{ - 7} [/tex]

take -7 down to divide it with 56

step 3:

[tex] - 8✓[/tex]

after dividing 56 with -7 we get -8

hope it helped you:)

4∣x−8∣+7=−5∣x−8∣−29

Pls

Answers

Answer:

no solutions

Step-by-step explanation:

there are no values of "x" that would make this problem true.

Have you ever played rock-paper-scissors (or Rochambeau)? It’s considered a "fair game" in that the two players are equally likely to win (like a coin toss). Both players simultaneously display one of three hand gestures (rock, paper, or scissors), and the objective is to display a gesture that defeats that of your opponent. The main gist is that rocks break scissors, scissors cut paper, and paper covers rock. We investigated some results of the game rock-paper-scissors, where the researchers had 119 people play rock-paper-scissors against a computer. They found 66 players (55.5%) started with rock, 39 (32.8%) started with paper, and 14 (11.8%) started with scissors. We want to see if players start with scissors with a long-term probability that is different from 1/3.​

Answers

Answer:

players start with scissors with long term probability that is different from 1/3.

Step-by-step explanation:

Total number of people played rock-paper-scissor= 119

66 players started with rock= 55.5%

39 people started with paper = 32.8%

14 players started with scissor = 11.8 %

Sample proportion =x= 11.8% = 0.118

Population mean = µ= 1/3 = 0.333

Sample size = n=119

We know that test statistic formula is :

Z = x-µ / √(∂/n)

By using the test statistics formula

And putting all values, we get

Z = (0.118 – 0.33)/ √(0.33(1-0.33)/119)

  = (0.212) / √(0.33(0.67)/119)

= (0.212) / √(0.2211/119)

= (0.212) / √0.00186

= (0.212) / 0.0431

z= 4.91

players start with scissors with long term probability that is different from 1/3.

Identify the intervals on which each quadratic function is positive Part 1
1. y = x^2 + 9x + 18
2. y = x^2 + 2x - 8
3. y = x^2 - 5x - 24

Answers

Answer:  1) (-∞, -6) U (-3, ∞)

               2) (-∞, -4) U (2, ∞)

               3) (-∞, -3) U (8, ∞)

Step-by-step explanation:

Find the zeros. Since the a-value is positive, the curve will be positive to the left of the leftmost zero and to the right of the rightmost zero.  +   -   +

                                                                                                     ←---|----|--→

1) y = x² + 9x + 18

  y = (x + 3)(x + 6)

 0 = (x + 3)(x + 6)

 0 = x + 3       0 = x + 6             +         --           +

 x = -3             x = -6              ←------|-----------|--------→

                                                     -6           -3

Positive Interval: (-∞, -6) U (-3, ∞)    

2) y = x² + 2x - 8

  y = (x + 4)(x - 2)

 0 = (x + 4)(x - 2)

 0 = x + 4       0 = x - 2              +         --          +

 x = -4             x = 2               ←------|-----------|--------→

                                                     -4            2

Positive Interval: (-∞, -4) U (2, ∞)    

3) y = x² - 5x - 24

  y = (x + 3)(x - 8)

 0 =  (x + 3)(x - 8)

 0 = x + 3       0 = x - 8               +        --           +

 x = -3             x = 8               ←------|-----------|--------→

                                                     -3            8

Positive Interval: (-∞, -3) U (8, ∞)    

   

which ordered pair represents a solution to both equations? A - (-5,5) B - (-2,1) C - (1, -2) D - (-4,0)

Answers

Answer:

B-(-2,1)

THIS ONE X=-2 Y=1. ALL THE POINTS CROOS HERE

Given the conditional statement below, what is the hypothesis? If you do your homework, then you will pass.​

Answers

Answer:

The hypothesis is that by doing your homework for the class you will pass

Step-by-step explanation:

If you do your homework, you will pass the class

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