A motorboat goes downstream in river and covers a distance between to coastal towns in 5 hours . It covers this distance upstream in 6 hours . If the speed of the stream is 3 km / hr . Find the speed of the boat in still water .

TO FIND: construct 3 equation starting with x=5?

SOLUTION:

The equation is in the form of variable and constant equating.

Let the equation be x=5.

TO CREATE AN EQUATION,

FIRST WE ADD 5 BOTH SIDe,

x + 5=5+5

=x + 5=10

SECOND WE SUBRACT 5 BOTH SIDE,

x — 5=5—5

=x—5=0

THIRD WE MULTIPLY 5 BOTH SIDE,

5x=5×5

=5x=25

well u got the answer!

Answer:

The correct option is (a).

Step-by-step explanation:

We need to find the expression that is equivalent to 1.5(6x+3y)+2x-0.05y.

Firstly opening brackets as follows :

[tex]1.5(6x+3y)+2x-0.05y=1.5\times 6x+1.5\times 3y+2x-0.05y\\\\=9x+4.5y+2x-0.05y[/tex]

Now taking x terms and y terms together

[tex]9x+4.5y+2x-0.05y=(9x+2x)+(4.5y-0.05y)\\\\=11x+4.45y[/tex]

So, 1.5(6x+3y)+2x-0.05y is equal to 11x+4.45y.

Answer:

x = -(-30/7)^(1/25) or x = (30/7)^(1/25) or x = (-1)^(2/25) (30/7)^(1/25) or x = -(-1)^(3/25) (30/7)^(1/25) or x = (-1)^(4/25) (30/7)^(1/25) or x = -(-1)^(1/5) (30/7)^(1/25) or x = (-1)^(6/25) (30/7)^(1/25) or x = -(-1)^(7/25) (30/7)^(1/25) or x = (-1)^(8/25) (30/7)^(1/25) or x = -(-1)^(9/25) (30/7)^(1/25) or x = (-1)^(2/5) (30/7)^(1/25) or x = -(-1)^(11/25) (30/7)^(1/25) or x = (-1)^(12/25) (30/7)^(1/25) or x = -(-1)^(13/25) (30/7)^(1/25) or x = (-1)^(14/25) (30/7)^(1/25) or x = -(-1)^(3/5) (30/7)^(1/25) or x = (-1)^(16/25) (30/7)^(1/25) or x = -(-1)^(17/25) (30/7)^(1/25) or x = (-1)^(18/25) (30/7)^(1/25) or x = -(-1)^(19/25) (30/7)^(1/25) or x = (-1)^(4/5) (30/7)^(1/25) or x = -(-1)^(21/25) (30/7)^(1/25) or x = (-1)^(22/25) (30/7)^(1/25) or x = -(-1)^(23/25) (30/7)^(1/25) or x = (-1)^(24/25) (30/7)^(1/25)

Step-by-step explanation:

Solve for x:

7 x^25 = 30

Hint: | Divide by an appropriate factor to make the coefficient of x^25 equal to 1.

Divide both sides by 7:

x^25 = 30/7

Hint: | Take 25^th roots of both sides.

Taking 25^th roots gives (30/7)^(1/25) times the 25^th roots of unity:

Answer: x = -(-30/7)^(1/25) or x = (30/7)^(1/25) or x = (-1)^(2/25) (30/7)^(1/25) or x = -(-1)^(3/25) (30/7)^(1/25) or x = (-1)^(4/25) (30/7)^(1/25) or x = -(-1)^(1/5) (30/7)^(1/25) or x = (-1)^(6/25) (30/7)^(1/25) or x = -(-1)^(7/25) (30/7)^(1/25) or x = (-1)^(8/25) (30/7)^(1/25) or x = -(-1)^(9/25) (30/7)^(1/25) or x = (-1)^(2/5) (30/7)^(1/25) or x = -(-1)^(11/25) (30/7)^(1/25) or x = (-1)^(12/25) (30/7)^(1/25) or x = -(-1)^(13/25) (30/7)^(1/25) or x = (-1)^(14/25) (30/7)^(1/25) or x = -(-1)^(3/5) (30/7)^(1/25) or x = (-1)^(16/25) (30/7)^(1/25) or x = -(-1)^(17/25) (30/7)^(1/25) or x = (-1)^(18/25) (30/7)^(1/25) or x = -(-1)^(19/25) (30/7)^(1/25) or x = (-1)^(4/5) (30/7)^(1/25) or x = -(-1)^(21/25) (30/7)^(1/25) or x = (-1)^(22/25) (30/7)^(1/25) or x = -(-1)^(23/25) (30/7)^(1/25) or x = (-1)^(24/25) (30/7)^(1/25)

Answer:It depends, many people do count 0 as a natural number, but MOST do not.

So for most HS text book, the answer is NO, all whole numbers are not natural numbers and the reason is 0 is a whole number but not a natural number.

Answer:

false

Step-by-step explanation:

because the set of whole numbers starts from 0 whereas the set of natural numbers starts from 1 and so on

Answer:

-5 times 12 is a binomial

Step-by-step explanation:

two terms = binomial

HOWEVER IF IT's -5.12 then it's a monomial because it's one term

Answer:

what

Step-by-step explanation:

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Answer:

volume is the correct answer

Step-by-step explanation:

Answer:

(1, -8)

Step-by-step explanation:

5(1) - (-8) =  5 + 8

= 13.

An ordered pair is represented by (x,y). The ordered pair that makes the sentence 5x- y > 12,  true is (1,-8)

Given that:

[tex]5x - y > 12[/tex]

First, we test each option

[tex](a)\ (3,4)[/tex]

So, we have:

[tex]5 \times 3 - 4 > 12[/tex]

[tex]15 - 4 > 12[/tex]

[tex]11 > 12[/tex] ---- This is false

[tex](b)\ (4,9)[/tex]

So, we have:

[tex]5 \times 4 - 9 > 12[/tex]

[tex]20 - 9 > 12[/tex]

[tex]11> 12[/tex] --- This is false

[tex](c)\ (1,-8)[/tex]

So, we have:

[tex]5 \times 1 --8 > 12[/tex]

[tex]5 +8 > 12[/tex]

[tex]13 > 12[/tex] --- This is true

[tex](d)\ (0,-10)[/tex]

So, we have:

[tex]5 \times 0--10 > 12[/tex]

[tex]0+10>12[/tex]

[tex]10>12[/tex] ---- This is false

[tex](e)\ (-1,-17)[/tex]

So, we have:

[tex]5 \times -1 --17 > 12[/tex]

[tex]-5 +17 > 12[/tex]

[tex]12 > 12[/tex] --- This is false

Hence, the ordered pair that makes [tex]5x - y > 12[/tex], true is: [tex](c)\ (1,-8)[/tex]

Learn more about ordered pair at:

https://brainly.com/question/13688667

Answer:

12.2 cm

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here A = 20.74 and b = 3.4 , thus

[tex]\frac{1}{2}[/tex] × 3.4 × h = 20.74 ( multiply both sides by 2 to clear the fraction )

3.4h = 41.48 ( divide both sides by 3.4 )

h = 12.2 cm

h = 12,2 cm

Area formula

A = b×h/2

20.74 = 3.4×h/2

41.48 = 3.4h

h = 41.48/3.4

h = 12,2 cm

Answer:

Please see attached picture for full solution.

Answer:

2/3 probability or 66%

Step-by-step explanation:

hope this helps!!

Answer:

[tex]\pi=\frac{v}{hr^2}[/tex]

Step-by-step explanation:

So we have:

[tex]v=\pi r^2h[/tex]

And we want to solve for π.

First, divide both sides by h:

[tex]\frac{v}{h}=\pi r^2[/tex]

Now, divide both sides again by r²:

[tex]\pi=\frac{v}{hr^2}[/tex]

And this is our answer :)

Answer:

[tex]\frac{v}{r^{2} h} = \pi[/tex]

Step-by-step explanation:

Simply divide both sides by [tex]r^{2}h[/tex] to get pi by itself.

Answer:

4ux³

Step-by-step explanation:

√8ux⁵ √2ux

√8*2 u*u x⁵*x

√16u²x⁶

4ux³

Answer:

We need to find the value of b to make 8b - 27 be equal to 5, so:

8b - 27 = 5

We solve the equation:

8b = 5 + 27

8b = 32

We divide both sides by 8:

b = 32/8 = 4

So now, we know that b=4, and we can verify:

8*4 - 27 = 5

32 - 27 = 5 TRUE

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Answer:

40 feet

Step-by-step explanation:

60x40=2400

2400/2=1200

1200/30=40

Answer:

Charmaine earns $60.90 for 6h for mowing and 1h for babysitting.

Step-by-step explanation:

We must write the data problems.

Charmaine = $8.80/h mowing

Charmaine = $8.10/h babysitting

How much will Charmaine earn for 6 h mowing and 1 h babysitting?

1 h mowing ....................... $8.80

6 h mowing ....................... $x

x = 6 h mowing * $8.80

x = $52,8

To find the total earn of Charmaine, we have to gather the earns from mowing and babysitting.

$52,8 (from mowing) + $8.10 (from babysitting) = $60.90

Answer:

p = - 14

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] ÷ [tex]a^{n}[/tex] = [tex]a^{(m-n)}[/tex]

[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]

Note 81 = 9² and 729 = 9³

Given

[tex](81)^{-4}[/tex] ÷ [tex](729)^{2-p}[/tex]

= [tex](9^{2}) ^{-4}[/tex] ÷ [tex](9^{3}) ^{2-p}[/tex]

= [tex]9^{-8}[/tex] ÷ [tex]9^{6-3p}[/tex]

= [tex]9^{-8-(6-3p)}[/tex]

= [tex]9^{-8-6+3p}[/tex]

= [tex]9^{3p-14}[/tex]

Thus

[tex]9^{3p-14}[/tex] = [tex]9^{4p}[/tex]

Since bases on both sides are equal then equate the exponents

4p = 3p - 14 ( subtract 3p from both sides )

p = - 14

Answer:

9

Step-by-step explanation:

If α and β are the zeros of ax² + bx + c = 0 , then

α + β = [tex]\frac{-b}{a}[/tex] ( sum of zeros ) and

αβ = [tex]\frac{c}{a}[/tex] ( product of zeros )

Given

x² + 5x + 8 = 0

with a = 1, b = 5, c = 8 , with zeros a and b, then

a + b = [tex]\frac{-5}{1}[/tex] = - 5

ab = [tex]\frac{8}{1}[/tex] = 8

Thus

(a + b)² = a² + 2ab + b² , that is

(- 5)² = a² + 2(8) + b²

25 = a² + 16 + b² ( subtract 16 from both sides )

9 = a² + b²

Answer:

17

Step-by-step explanation:

Let x = the number we have to find

From the given information, we have this equation:

(x + 5) / 2 = 11

<=> x + 5 = 11 . 2 = 22

<=> x = 22 - 5 = 17

Answer: 17

Step-by-step explanation:

I guess you would have to guess and check for this one.

17+5= 22

22/2 = 11

hope this helps

Answer:

this is true!

Step-by-step explanation:

its true lnfao.

Answer:

Step-by-step explanation:no different

Answer:

less than 1

Step-by-step explanation:

Answer:

yes that answer is true

Answer:

Total length of the trip = 600 miles

Step-by-step explanation:

Given:

Distance travel during sleep = 65%

Distance travel during sleep = 390 miles

Find:

Total length of the trip

Computation:

Total length of the trip = Distance travel during sleep [100 / 65]

Total length of the trip = 390 [100 / 65]

Total length of the trip = 600 miles

Answer:

x=-16

Step-by-step explanation:

4x– 15 = 17 - 4x+10x

4x+4x-10x = 17+15

-2x=32

-x=16

x=-16

Answer:

Step-by-step explanation:

time=distance/speed

=4800/48

100

Answer:

[tex]\Huge \boxed{\mathrm{100 \ seconds}}[/tex]

Step-by-step explanation:

4.8 kilometers is 4800 meters.

[tex]\sf \displaystyle time \ (s) = \frac{distance \ (m) }{speed \ (m/s)}[/tex]

[tex]\sf \displaystyle t = \frac{4800}{48}[/tex]

[tex]\sf \displaystyle t = 100[/tex]

It will take the object 100 seconds.

Answer:

It's 2 (z + 3)