A motorboat takes 4 hours to travel 192 kilometers going upstream.

The return trip takes 3 hours going downstream.

- What is the rate of the boat in still water?
- What is the rate of the current?

Answers

Answer 1

Answer:

Step-by-step explanation:

let b be boat velocity

let c be current velocity

(b - c)4 = 192

(b + c)3 = 192

(b - c)4 = (b + c)3

4b - 4c = 3b + 3c

        b = 7c

(7c - c)4 = 192

    (6c)4 = 192

      24c = 192

          c = 8 km/hr

b = 7(8) = 56 km/hr


Related Questions

Which of the following are remote interior angles of angle 1? Check all that apply

A. <5

B. <2

C. <3

D. <1

E. <4

F. <6

Answers

Answer:

The answer would be 6 and 4.

Step-by-step explanation:

Because when they mean remote interior, they are hinting that the interior angles that are not close to 1. We cannot choose 3 in this situation because it is adjacent to angle 1.

Does anybody know this???

Answers

Answer:

17

Step-by-step explanation:

Let x be the number of books and y the number of CDs,

[tex]x+y=25\\[/tex]

The prices of the products are multiplied with the quantity bought, therefore:

[tex]1.5x + 5y = 65.50[/tex]

Multiplying the first equation by -5, then multiplying the two equations:

[tex]-3.5x=-59.5\\x=17[/tex]

I need help with Special Right Triangles. Thanks :)

Answers

Answer: c

Step-by-step explanation:

sin(45) =  [tex]\frac{12}{AB}[/tex]

sin(45) = [tex]\frac{\sqrt{2} }{2}[/tex]

so [tex]\frac{\sqrt{2} }{2} =\frac{12}{AB}[/tex]

[tex]AB = \frac{24}{\sqrt{2} }[/tex]

[tex]AB = (\frac{24}{\sqrt{2} }) (\frac{\sqrt{2} }{\sqrt2} } )[/tex]

[tex]AB = \frac{24\sqrt{2} }{2}[/tex]

[tex]AB= 12\sqrt{2}[/tex]

Please give me a brainliest answer

[tex]\\ \sf\longmapsto cos45=\dfrac{CB}{AB}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{\sqrt{2}}=\dfrac{12}{AB}[/tex]

[tex]\\ \sf\longmapsto AB=12\sqrt{2}[/tex]

a bit hard. thank you if u can do it for me? <3

Answers

The triangle shown is a right triangle shown by the little square inside of it.

Area of a triangle is 1/2 x height x base

Rotating the shown triangle so the square is at a bottom corner the height is 6 and the base is 6

Area = 1/2 x 6 x 6 = 18 square cm

:) Answer fast if you can

Answers

Answer is B according to distributive property.

Answer:

The answer is B

Step-by-step explanation:

Hope it helps

The thermostat for a house is set to 70°F, but the actual temperature may vary by as much as 4°F. Use an
absolute value inequality to find the range of possible temperatures in the house.
The range of possible temperatures in the house (in degrees Fahrenheit)

Answers

Answer:

Step-by-step explanation:

74’F

Answer:

The range of possible temperatures in the house (in degrees Fahrenheit) is 60° F ≤ T ≤ 74°F

Step-by-step explanation:

To Find:

The range of possible temperatures in the house

Solution:

Given:

Thermostat is set to 70 °

Also actual temperature may by a much of 4°

If the temperature is 4°F lower, and actual temperature = 70°- 4° = 66° F

If the temperature is 4°F higher, actual temperature = 70°+4° = 74°

Therefore, The range of possible temperatures in the house (in degrees Fahrenheit) is 60° F ≤ T ≤ 74°F

Select the better deal in the pair. Then give the unit rate for the better deal.

$182/7g
or
$342/9g

Answers

Answer:182/7g

Step-by-step explanation:  182 divide by 7= 26

                                              342 divide by 9=38

and you want the lowest cost so a.


What is the distance from (-4, 0) to (2, 5)? Round your answer to the nearest hundredth.

Answers

Answer:

7.81

Step-by-step explanation:

Step-by-step explanation:

[tex]distance = \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} } [/tex]

Now, substitute the numbers into the equation,

[tex] \sqrt{(2 + 4) ^{2} +( 5 - 0)^{2} } [/tex]

distance = 7.81

brianlist me??

A sales person at a car dealership earns a monthly salary of $2400 and $250 for each vehicle sold

Answers

Step-by-step explanation:

8 vehicle.

Step-by-step explanation:

Given: Monthly salary of salesperson is $2400

          Incentive of salesperson is $250 per vehicle sold.

First, lets compute income to earned apart from salary.

∴ Deduct salary from the target amount

\$ 4400-\$ 2400= \$ 2000$4400−$2400=$2000

∴ 2000 need to be earned only through incentive, which is2000needtobeearnedonlythroughincentive,whichis250 per vehicle sold.

Now, solving to get number vehicles to be sold to earn $2000 as incentive.

Number of vehicle= \frac{2000}{250}= 8\ vehicles2502000=8 vehicles

∴ 8 vehicles need to be sold by salesperson to get total earning as $4400

hurry help!!!!! im doing a math portfolio and i dont remeber what is 15.33 rounded to the nearest whole is!!! please HELP ME ITS WORTH 30 POINTS OF MY GRADE!!

Answers

Answer:

15

Step-by-step explanation:

Cause 15.33 is closer to 15 than 16.

Answer:

15 is the answer I know I already told you but here it is again

Step-by-step explanation:

Maybe brainliest if I helped???

Its 15 because if the decimal after the whole number is less than 0.5 you go to the closest whole number down. Meaning whatever the whole number is attached to your decimal lower than 0.5 is your answer. If it's higher than 0.5 or IS 0.5 you round the nearest whole number, so one bigger than the number attached to your decimal. So if it was say:

15.67

The nearest whole would be 16

I hope I helped!

NO LINKS OR ASSESSMENT!!!!

Answers

Answer:

See below and attached

Step-by-step explanation:

1. There are infinite number of lines going from only one point (2, 5)

No definite solution for line A.

2. This is a proportional relationship, since line passes through the origin. The slope is -3.

The line B is:

y = -3x

3. Points (-3, -2) and (3, 10)

The slope:

m = (10 + 2)/(3 + 3) = 2

The y - intercept:

10 = 2*3 + b ⇒ b = 4

The line C is:

y = 2x + 4

4. The rate of change is m = 2.5

The y- intercept:

1 = 2*2.5 + b ⇒ - 4

The line D is:

y = 2.5x - 4

5. Line E has a slope of 4, no sufficient info to conclude.

y = 4x + b, with any value of b

6. Line F has m = -3/4 and passes through (8, -1).

The y -intercept is:

-1 = 8(-3/4) + b ⇒ b = 5

The line F is:

y = -3/4x + 5

7. G is not a linear relationship as the function increases exponentially with common ratio of 3.

90000 1000 + 7000 + 7 =​

Answers

Answer:

900,008,007

Step-by-step explanation:

first add 90000,1000 +7000=900,008,000

then add 7 with 900,008,000

Answer =900,008,007

I need help in learning how to solve this equation using substitution:

-x -y -z = -8
-4x + 4y + 5z = 7
2x + 2z = 4

Answers

Answer:

x=3, z=-1, y=6

Step-by-step explanation:

you need to make the coefficients of each variable equal to each other then subtract 2 equations.

this one: multiply -4 in 1st

4x+4y+4z=32

-4x+4y+5z=7

_____________

8x+0-z=25

we have 2 equations with 2 variables now

2x+2z=4

8x-z=25

x - 2/2 = 3x + 8/4

A. 12
B. -24
C. 16

Answers

It’s doesn’t look like any of the anwsers are right..

x-2/2=3x+8/4

x-1=3x+2

-x. -x

-1=2x+2

-2. -2

-3=2x

÷2. ÷2

-3/2=x

100 points and brainliest if you answer all 48 question fast hurry and no link and no wrong answer

Answers

Answer:

D = 26°

Step-by-step explanation:

Opposite Angle Theorem

Answer:

There are no 48 questions but the answer to this one I think is the 4th choice

(my opinion)

Step-by-step explanation:

pls help I will put brainliest ​

Answers

26

the number line ticks count by 2

hope this helped :)

Jimin wants to know whether if there is a difference in proportion of people who like mint chocolate chip-flavored ice cream between Americans and Koreans. She takes a random sample of 46 Americans and find that 30 of them like the flavor, and then she takes a random sample of 53 Koreans and find that 24 of them like the flavor. For a 95% confidence interval of the true difference in proportion of people who like this ice cream flavor, what is the margin of error (MOE)

Answers

Answer:

5hj

m5Step-by-step explanation:

Construct a polynomial function with the following properties: fifth degree, 2 is a zero of multiplicity 4, −2 is the only other zero, leading coefficient is 3.

Answers

9514 1404 393

Answer:

  p(x) = 3(x -2)^4(x +2) . . . in factored form

  p(x) = 3x^5 -18x^4 +24x^3 +48x^2 -144x +96  . . . in standard form

Step-by-step explanation:

When a polynomial has a zero at x=p, it has a factor of (x -p). The exponent of the factor is the multiplicity of the zero. The product of factors can be multiplied by 3 to make the leading coefficient be 3.

  p(x) = 3(x -2)^4(x -(-2))

  = 3(x^4 +4(-2)x^3 +6(-2)^2x^2 +4(-2)^3x +(-2)^4)·(x +2)

  = 3(x^4 -8x^3 +24x^2 -32x +16)(x +2)

  = 3(x^5 -6x^4 +8x^3 +16x^2 -48x +32)

  p(x) = 3x^5 -18x^4 +24x^3 +48x^2 -144x +96

What is the coefficient in the expression - X + 21?

Answers

Answer:

there are no like terms

Step-by-step explanation:

-x + 21 = -x + 21

The coefficient of the expression -x + 21 is -1.

A coefficient refers to a number or quantity placed with a variable. It is usually an integer that is multiplied by the variable next to it.

The negative sign right next to x represents the coefficient of -1. It's the same thing as -1 • x + 21.

PLEASE HELP I NEED THIS NOW. 20 POINTS & ILL MARK BRAINLIEST
Find the measures of the complementary angles that satisfy each case:
The measure of the first angle is 40 degrees less than the measure of the second

Answers

9514 1404 393

Answer:

  25°, 65°

Step-by-step explanation:

Essentially, you want two angles that have a sum of 90 degrees and a difference of 40 degrees.

The smaller is half the sum less half the difference: 90/2 -40/2 = 45 -20 = 25.

The larger is half the sum plus half the difference: 90/2 +40/2 = 45 +20 = 65.

Of course, once you know either value, you can add or subtract the difference (as needed) to find the other value.

The two angles are 25° and 65°.

_____

Additional comment

There are many ways you can arrive at this conclusion. Algebraically,  we can write ...

  a+b = sum

  a-b = difference

Adding these two equations gives ...

  2a = sum +difference

Multiplying by 1/2, we get ...

  a = 1/2sum +1/2difference . . . . . . as described above

Subtracting the difference gives ...

  b = a -difference = 1/2sum -1/2difference

There are tulips, daisies, and daffodils growing in a garden. There are 2 times as
many daisies as tulips and 3 times as many daffodils as tulips. If there are 12
daisies, how many total flowers are in the garden?

Answers

54 flowers in the garden.

if there is 2 times as many daisies as tulips it would be 6 tulips

3 x daffodils as tulips which would be 3 x 12 = 36

so 36+6= 42

42 + 12 = 54

Purchased goods on credit from Mimi and Ana, RM300 and RM400 respectively. Btw this is account subject and can I know what is the debit and credit for this questions.

Answers

Purchase a/c Dr. 700
To Mimi’s a/c. 300
To Ana’s a/c. 400

A quart of water weighs 2 pounds.how much do 1.5 gallons of water weigh?

Answers

Answer:

12 pounds

Step-by-step explanation:

gallon equals 4 quarts

1.5*4 equals 6

6 quarts times 2 pounds =2

18. Dylan's mother tells Dylan he must spend
less time playing electronic games. On
the weekends he spends 9 1/2 hours playing
electronic games. If he plays between 13 and
19 hours each week, how many hours does
he play games on weekdays?


Answers

Answer:

Dylan is playing anywhere from 3.5 hours to 9.5 hours of electronic games on week days.

Step-by-step explanation:

(least estimated amount of hours played each week) 13-9.5=3.5

(highest estimated amount of hours played each week)19-9.5=9.5

If I helped you please let me know with a thank you, rating or brainly

<3Miss Hawaii<3

Which of the following functions is graphed below?

Answers

Answer:

ITS A

Step-by-step explanation:

the y intercept is at positive 4 so y will be at 4

I want to say A, but at the same time, is the x in an absolute value function?

Last month, when Joe took his puppy to the veterinarian, the puppy weighed 6.7 pounds. This month, the puppy weighed 10.05 pounds. What is the percentage increase of the weight of the puppy?

Answers

Answer:

50%

Step-by-step explanation:

Does anyone have the answer key for this assignment?

Answers

Answer:

try searching it up

Step-by-step explanation:

the rice field land preparation can be completed by 8 farmers in 25 days. if 7 more farmers join the team 5 days after starting work on the job,how many more days are needed to complete the job?

Answers

Answer:

1.8 if its wrong im sorry

Step-by-step explanation:

I need help answering this question please

Answers

which question do you need help with

A 48 cm wire is to cut into two pieces. One piece must be cut 10 com longer than the shorter piece. How long should each peice be?

Answers

Step-by-step explanation:

short - S

long - L

L=10+S

L+S = 48

SINCE L=10+S

10+S+S=48

10+2S=48

2S=48-10

S=38/2=19

SHORT=19CM

LONG=10+S=10+19=39CM

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