A boat traveled 432 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?

Answer:

£152

Step-by-step explanation:

Solution:

Find out how much is 1/3 of 255 coins:

255 x 1/3 = 85

Since you know how many 50p and £1 coins there are, the remaining of the coins after the 50p and £1 get deducted from the total coins.

255 - 85 - 110 = 60

There are 60 20p coins, 85 £1 coins and 110 50p coins.

Find out the total value by calculating them all altogether.

60 x 20p = 1200

85 x 100p which is £1 = 8500

110 x 50p = 5500

I did them separately so that it wouldn't be so confusing.

Convert them into £, then after that add them up.

£12 + £85 + £55 = £152

Answer:

R u that lazy to not type it in a calculator

Step-by-step explanation:

But it is 66.4262295082

Pls make me buy brainiest

Answer:

Step-by-step explanation:

Rewriting the given as factors:

As per Wilson's theorem, if n is prime number, (n - 1)! + 1 is divisible by n

As per above, 13 and 7 are both prime numbers, so the expression is divisible by both 7 and 13:

So correct choice is C

Answer:

Step-by-step explanation:

Perimeter=a+b+c=6+8+10=24 m

Area=1/2*a*b=1/2*6*8=24 m^2

Answer:

Percent is always out of 100

Step-by-step explanation:

Answer:

100

Step-by-step explanation:

Answer:

6/9 miles

Step-by-step explanation:

Answer:

1. 11-y=-9

2. 41+w=26

3. r÷6=-4

4. 18(p)=54 or 18×p=54

5. Yes V= -52

6. Yes Z= -3

7. No would equal 43

8. No T would equal positive 6.

9. B

10. C

11. D

12. A

Answer:

Step-by-step explanation:

Para meter of rhombus is equals 40 m

So one side of rhombus is equal to 10 m

Now

Area of rhombus is equals to half into base into altitude

1/2*10*altitude=84

Altitude = 16.8m

Answer:

For a function f(x) = y.

The independent variable is the one that we chose to input in the function, in this case, is x, and the dependent variable is the variable that changes in response to the independent variable, in this case, is y.

In this problem we have:

"Sammy has $180 in her savings account and plans to deposit $20 each month."

We can define:

y = money in her savings account

x = number of months that have been passed since she started saving.

Originally, she has $180, and she saves $20 per month, so if x months have been passed, the total amount of money in her savings account is:

y = f(x) = $180 + $20*x

Now we want to know if this function is continuous or discrete, to see this we need to look at the possible values of x.

x represents the number of months that have been passed, then the values that x can take are:

x = 0, 1, 2, 3, 4, ...

So x can only take the values of positive integers, this means that the domain of x is discrete, then the function f(x) is a discrete function.

Answer: 3 is the oppos ire of -3 and it takes 6 steps to get to it

Step-by-step explanation:

Answer:

"Which number is the opposite of -3?": The number that is opposite of (-3) is 3

"Starting at -3, how many steps does it take to get to the opposite of -3?": It takes 6 steps to get to the opposite of -3.

" What does this number of steps represent?": This number represents the distance between -3 and 3.

Step-by-step explanation:

Answer:3c + 18d brainless pls

Step-by-step explanation:First, eliminate the parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis:

3

(

5

c

+

4

d

)

+

6

(

d

−

2

c

)

⇒

(

3

⋅

5

c

)

+

(

3

⋅

4

d

)

+

(

6

⋅

d

)

−

(

6

⋅

2

c

)

⇒

15

c

+

12

d

+

6

d

−

12

c

Next, group like terms:

15

c

−

12

c

+

12

d

+

6

d

Now, combine like terms:

(

15

−

12

)

c

+

(

12

+

6

)

d

3

c

+

18

d,

Given:

[tex]\to 5c + d = c+ 4d[/tex]

To find:

c:d=?

Solution:

\to 5c + d = c+ 4d

simulating the identical terms:

[tex]\to 5c -c = 4d-d\\\\\to 4c = 3d\\\\\to \frac{c}{d} = \frac{3}{4}\\\\\therefore\\\to c:d= 3:4[/tex]

so, the ratio is 3:4

Learn more about the ratio:

brainly.com/question/4534527

Answer:

Sometimes

Step-by-step explanation:

Answer:

x = ±√89-30 cos(55) (everything is under the radical)

and then plug the radical into a calculator and you get two answers:

x1= -9.39873

x2=9.39873

Step-by-step explanation:

i hope this helped :)

Answer: 3

Distribute

Subtract the numbers

Simplify

Answer:

A

Step-by-step explanation:

Let's say the surface of the pool is 0, and the diver 4 meters above represents +4, and the diver 5 meters below represents -5. Which number is closer to 0? It's 4! 4 is 4 numbers away from 0, meanwhile 5 is 5 numbers away from zero, 4 is closer to 0!

Answer:

Elliot is able to move the table through, since 2 3/4 is more than 2 5/8.

Step-by-step explanation:

2 3/4 - 2 5/8 = 0.125

0.125 is a positive number.

So, Elliot is able to move the table through the doorway.

Answer:

17, 558 employees

Step-by-step explanation:

Altogether = 70,010 employees , First location = 34, 857 employees, second location = 17, 595 employees, Third location = ?

Let the number of employees in the third location be x

70,010 + 17, 595 + x = 70,010

x = 70, 010 - 52452

x = 17, 558( Answer)

17, 558 employees work in the third location

Answer:

Mantle

Step-by-step explanation:

I think its mantle

Answer:

C

Step-by-step explanation:

just did it

what is the acceleration of a car that has a mass of 300 kg and 1200N

Answer:

well the acceleration produced will be

[tex]4ms { - }^{2} [/tex]

Step-by-step explanation:

the formula used here is

F = m × a

(where m = mass , a = acceleration and f = force )

so,

=》1200 N = 300 kg × a

=》a = 1200N ÷ 300 kg

=》a = 4 metre per second square

[tex]4ms { - }^{2} [/tex]

Answer:

6.5% of 6000$=6000$x6.5/100=390$

amount of interest = 390$x2=780$

Compound Interest

n=1, 2

Po=6000$

Pn=Po(1+r)^n

Pn=6000$1+6.5%)^n

Pn=6000$(1.065)^n

P1=6000$(1.065)^1=6390$

P2=6000$(1.065)^2=6805.35

Answer: It would be 2x-19

Step-by-step explanation:

Answer: The area of the shape is 90 ft.

Step-by-step explanation:

Draw a line so the shape looks like a triangle and small rectangle.

First, we have to find the area of the rectangle.

Area of rectangle: length x width

The rectangle has a length of 6 ft and a width of 3 ft.

Area of rectangle: 6 x 3 = 18 ft

Now to find the area of the triangle.

Area of triangle: 1/2 x base x height

The triangle's base: 15 - 3 = 12

The triangle's height: 6 + 6 = 12

Area of the triangle: 1/2 x 12 x 12

= 1/2 x 144 = 72ft

To find the area of the entire shape you have to add the area of the rectangle and triangle together.

Area of shape = Area of rectangle + Area of triangle

A of shape = 18 ft + 72 ft

The area of the shape is 90 ft.

Hope that helped!

Answer:

0.9b+12=0.8b-9

0.9b+0.8b= -9-9

1.7b=-21

=-12.352

Answer:

31

Step-by-step explanation:

3x + 25 + 2x = 180

  3x + 2x = 180 - 25

  5x = 155

  x = 31

Answer:

26880 ways

Step-by-step explanation:

Given

[tex]Crust = 4[/tex]

[tex]Toppings = 10[/tex]

[tex]Cheese = 8[/tex]

Required

Determine the number of ways 3 toppings and 3 cheese can be selected

The number of crusts to be selected was not stated. So, I'll assume 1 crust to be selected from 4.

This can be done in [tex]^4C_1[/tex] ways

For the toppings:

3 can be selected from 10 in [tex]^{10}C_3[/tex] ways

For the cheeses:

3 can be selected from 8 in [tex]^{8}C_3[/tex] ways

Total number of selection is:

[tex]Total = ^4C_1 * ^{10}C_3 * ^{8}C_3[/tex]

Apply combination formula:

[tex]Total = \frac{4!}{(4-1)!1!} * \frac{10!}{(10-3)!3!} * \frac{8!}{(8-3)!3!}[/tex]

[tex]Total = \frac{4!}{3!1!} * \frac{10!}{7!3!} * \frac{8!}{5!3!}[/tex]

[tex]Total = \frac{4*3!}{3!*1} * \frac{10*9*8*7!}{7!*3*2*1} * \frac{8*7*6*5!}{5!*3*2*1}[/tex]

[tex]Total = \frac{4}{1} * \frac{10*9*8}{3*2*1} * \frac{8*7*6}{3*2*1}[/tex]

[tex]Total = 4 * \frac{720}{6} * \frac{336}{6}[/tex]

[tex]Total = 4 * 120* 56[/tex]

[tex]Total = 26880[/tex]

Hence, there are 26880 ways

Answer:

Step-by-step explanation:

The answer is 1.25