Solve the following proportion then explain how you got the answer: 18n = 6/10

Answer:

Distance=12 miles

Step-by-step explanation:

d=distance

t=time going

d/t=40 mph going

t-2/60=time returning      (2 minutes/60 minutes per hour)

d/(t-2/60)=45 mph returning

set up equations:

d=40t

d=45(t-2/60)

substitute:

40t=45(t-2/60)

40t=45t-90/60

40t=45t-3/2

0=5t-3/2

5t=3/2

t=0.3 hours or 18 minutes

(time returning=16 minutes)

substitute:

d=40t=40(0.3)

d=12 miles

P and Q are 12 miles far from each other.

Given that

Patrick drives from P to Q at an average speed of 40 mph

Also he drives from Q to P at an average speed of 45  mph

Let "s" be the distance between P and Q in miles.

Let "t" be  the time in minutes

There are 60 minutes in 1 hours

[tex]\rm So \;in \; "t" \; minutes \; there\; will\; be = \dfrac{t}{60} \ hours[/tex]

By the definition pf average speed we can write that

[tex]\rm Average \; Speed = \dfrac{Total \; distance }{Total \; time}\\[/tex]

The speed is given in two situations in miles per hour

Case 1  When average speed = 40 mph

[tex]\rm 40 = \dfrac{s}{t/60} \\\\\rm {40 = \dfrac{60s}{t} .....(1) }[/tex]

Case 2 When  average speed = 45 mph  

Given that Patrick takes two minutes less  

[tex]\rm 45 = \dfrac{s}{(t-2)/60} \\\\45 = \dfrac{60s}{t-2 } ....(2)[/tex]

Solving for "s" from equations (1) and (2) gives us

[tex]\rm \bold {s = 12}}[/tex]

So we can conclude that P and Q are 12 miles far from each other.

For more information please refer to the link given below

https://brainly.com/question/21470320

Answer:

259.09 feet

Step-by-step explanation:

Given that,

The three sides of a triangular lot are measured to be 100.52 ft, 15.321 ft and 143.250 ft.

We need to find the perimeter of the lot.

We know that,

Perimeter = sum of all sides

P = 100.52 + 15.321 + 143.250

P = 259.09 feet

So, the required perimeter of the lot is 259.09 feet.

B

Step-by-step explanation:

it would be a if the chance was 0.000 but it's 0.001 so there is a very very small chance of it happening

Answer:

Step-by-step explanation:

0.001 means 1/1000

The answer depends on what is being described.

If you are putting money into a lottery if you got odds of 1 in a 1000, you'd jump for joy at such good odds.

If you are putting money into the stock market and the chances of getting any kind of return is 1/1000, I think you'd start looking for something else to do.

That said, I think the answer you want is B, but I'm not fond of the question.

Answer:

When rotating a point 270 degrees counterclockwise about the origin our point A(x,y) becomes A'(y,-x). This means, we switch x and y and make x negative

Answer:

22

Step-by-step explanation:

Since its a parallelogram, opposite sides are congruent. Therefore:

BC = AD

a - 1.5 = 20.5

  +1.5     +1.5

a = 22

Answer:

a=22

Step-by-step explanation:

a-1. 5 =20. 5 ( opposite side of parallelogram are equal )

or, a=20. 5+1. 5

or, a=22

you can do it from another side too.

2a-20. 8 = a + 1. 2 ( opposite side of parallelogram are equal )

or, 2a - a = 1. 2 + 20. 8

or, a = 22

Hope it will help you ☺✌

Answer:

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

Answer:

8b−17

HOPE I HELP BRAINLYY PLZZZ

Answer:

C

If the side of a square, a, is an odd number, then the perimeter of the square is an even number, b.

Answer: 2x+17

Step-by-step explanation: add -5 and 22

______________________________

 - You could also solve this by  flipping the numbers around and subtracting 22 - 5, Which still gives you 17.

So your answer is [tex]\bold{(2x+17)}[/tex].

______________________________

Answer:

The coordinates of D is actually (8,10)

Step-by-step explanation:

8,10

did the math by counting up with y and x axis

Answer:

y = (5x) / 4 <----Line l

Step-by-step explanation:

(y - 5)(8 - 4)=(x - 4)(10 - 5)

4y - 20 = 5x - 20

Step-by-step explanation:

1. N2 + 3H2 → 2NH3

How many moles of NH3 could you make with 4.2021 g of N2?

From the reaction;

1 mol of N2 produces 2 mol of NH3

1 mol of N2 = 14g of N2

14g of N2 produces 2 mol of NH3

4.2021 g of N2 produces x mol of NH3

14 = 2

4.2021 = x

x = 4.2021  * 2 / 14 = 0.6003 mol of NH3

2. 2Na + Cl2 → 2NaCl

How many moles of Cl2 do you need to use in order to react with 34.485 g of Na?

From the equation of the reaction;

2 mol of Na reacts with 1 mol of Cl2

1 mol of Na = 23g of Na

2 mol of Na - 46g of Na

46g of Na reacts with 1 mol of Cl2

4.485 g of Na reacts with x mol of Cl2

46 = 1

4.485 = x

x = 4.485 * 1 / 46 = 0.0975 mol of Cl2

3. H2SO4 + 2NaNO2 → 2HNO2 + Na2SO4

How many grams of NaNO2 do you need in order to make 24.14714 g of Na2SO4?

From the reaction;

2 mol of NaNO2 produces 1 mol of Na2SO4

2 mol of NaNO2 = 68.995 g/mol * 2mol = 137.99g

1 mol of Na2SO4 = 142.04 g

137.99g of NaNO2 produces 142.04 g of Na2SO4

xg of NaNO2 produces 24.14714 g of Na2SO4?

137.99 = 142.04

x = 24.14714

x = 24.14714 * 137.99 / 142.04 = 23.459g

4. 2Na + 2H2O → 2NaOH + H2

How many grams of NaOH could you make with 8.0465 g of Na?

From the reaction;

2 mol of Na produces 2 mol of NaOH

2 mol of Na = 23g/mol * 2mol = 46g

2 mol of NaOH = 40g/mol * 2 = 80g

46 g of Na produces 80g of NaOH

8.0465 g of Na produces xg of NaOH

46 = 80

8.0465 = x

x = 8.0465 * 80 / 46 = 13.994g

5. 2Mg + O2 → 2MgO  

If you are burning 5.8332 g of Mg, how many grams of MgO will this make?

From the reaction;

2 mol of Mg produces 2 mol of MgO

2 mol of Mg = 24 g/mol * 2mol = 48g

2 mol of MgO = 40.3 g/mol  * 2mol = 80.6g

48g of Mg produces 80.6 g  of MgO

5.8332 g of Mg produces xg of MgO

48 = 80.6

5.8332 = x

x = 5.8332 * 80.6 / 48   = 9.8g

6. FeCl3 + 3NaOH → Fe(OH)3 + 3NaCl

How many grams of NaCl could you make with 2.43306 g of FeCl3?

From the reaction;

1 mol of FeCl3 produces 3 mol of NaCl

1 mol of FeCl3 = 162.2 g

3 mol of NaCl = 58.44 g/mol * 3 mol = 175.32 g

162.2g of FeCl3 produces 175.32 g of NaCl

2.43306 g of FeCl3 produces xg of NaCl

162.2 = 175.32

2.43306 = x

x = 2.43306 * 175.32 / 162.2 = 2.63g

Answer:

The solution of 25x = 300 is 12 . The solution of 25x > 300 is all values greater than 12 .

Step-by-step explanation:

Since the solution to 12x = 300 is 12, any number that is greater than 12 will also be a solution!

Answer:

a=11

Step-by-step explanation:

So, the line that (9a+6) and 75 are sharing is straight, meaning that it is 180 degrees. Also, (9a+6) and 75 are sharing the line. Even though we don't know there exact measurements, when know that by adding them together we will get 180 degrees.

1. (9a+6) + 75 = 180

2. 9a + 81 = 180

3. 9a = 99

4. a = 11

Hope this helped!

Answer:

The measure of an exterior angle = 125°

Hence, option A is correct.

Step-by-step explanation:

As the given triangle is a right-angled triangle ΔABC.

Given the angles

We know that the sum of angles in a triangle is 180°.

Thus,

m∠A + m∠B + m∠C = 180°

substituting m∠A = 35° and m∠C = 90° in the equation

35° + m∠B + 90° =  180°

125 + m∠B = 180°

subtract 125 from both sides

125 + m∠B - 125 = 180° - 125

m∠B = 55°

Thus, the measure of angle B is:

m∠B = 55°

As the exterior angle of the given triangle is adjacent to m∠B = 55°.

We know that the exterior angle of a triangle is equal to the sum of two opposite interior angles.

Here,

∠A and ∠C are two opposite interior angles of the exterior angle.

Thus,

The measure of an exterior angle is equal to the sum of two opposite interior angles.

as

so

Exterior angle = m∠A + m∠C

                        = 35° + 90°

                        = 125°

Thus, the measure of an exterior angle = 125°

Hence, option A is correct.

Answer:

6a2 + 6a + 7

Step-by-step explanation:

Answer:

600 miles

Step-by-step explanation:

150x4=600

Answer:

4, 12, 20, 28, 36

Step-by-step explanation:

to find Y you have to multiple x times 4 then subtract by 4

example: x=2 so you do 2(4) - 4

2(4) is 8 and 8 - 4 is 4

y = 4 and so on

Answer: 50 lol it's the same

Step-by-step explanation: 50*.5 equals 25*2 equals 50 lol have a good day

Answer:

69

Step-by-step explanation:

it is a funny question

Answer:

Step-by-step explanation:

Looking at the graph, we observe that the interval CD is when the speed was the fastest

Let's calculate this, use points C(4,3), D(12,12)

Answer:

360,000

Step-by-step explanation:

Alright so first we need to find 4% of 600,000

So we get 24,000 now we multiply this by 15

24,000 x 15 = 360,000

Hope this helps

Answer:

moonano

Step-by-step explanation:

Answer:

The slope of the line= 2/3

Step-by-step explanation:

(2, 2)=(x, y) and (5, 4)=(`x, `y)

The formula for finding slope= `y-y/`x-x

4-2/5-2

2/3

Therefore, the slope=2/3

Answer:

25/12 is the answer

I hope it helps you

Answer:

0.0833333333

Step-by-step explanation:

id.k if correct i just g00gled it