Which ratio is equivalent to the ratio 18:24?​

Transportation has become an essential part of our daily lives. It has transformed over time and has improved access to transportation services, increased connectivity, and intermodal options.

To meet the various transportation needs, different modes of transportation have evolved, including water, air, rail, 3PL, cross-docking, truck, intermodal, and pipeline. Each mode of transportation has unique characteristics and advantages. In this regard, matching the following transportation characteristics with the appropriate mode of transportation is necessary.

The most capable mode of transportation is the water mode of transportation. It has the highest capacity and can transport a vast amount of goods over long distances. It can transport large, heavy, and bulky goods that are difficult to transport by other modes of transportation. The mode of transportation that provides the most accessibility is the truck mode of transportation. It can reach almost any location as it can travel on roads and highways. It offers door-to-door service, which means that it can pick up the goods from the sender and deliver them to the receiver. The most reliable mode of transportation is the rail mode of transportation. It is not affected by traffic or weather conditions, which means that it can transport goods on time. It also has a low risk of accidents or delays, which makes it a reliable mode of transportation.

The fastest mode of transportation over a long distance is the air mode of transportation. It is the quickest mode of transportation as it can travel at high speeds and can cover long distances in a short time. This makes it ideal for transporting goods that need to be delivered urgently. The mode of transportation that has the lowest per-unit cost is the water mode of transportation. It is the most cost-effective mode of transportation as it can transport a large number of goods at once, which reduces the cost per unit.

Match the following descriptions with the appropriate transportation intermediary. The transportation intermediary that consolidates LTL shipments into FTL shipments is cross-docking. It takes small shipments from multiple companies and consolidates them into larger shipments. The transportation intermediary that is a nonprofit cooperative that arranges for members' shipments is 3PL.The transportation intermediary that brings shippers and carriers together is the intermodal mode of transportation. It provides an intermodal network to connect different modes of transportation to transport goods efficiently.

The transportation intermediary that purchases blocks of rail capacity and sells it to shippers is rail transportation. It makes it easier for shippers to transport goods using the rail mode of transportation.

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The equation of the line into slope-intercept form is y = x/3 - 6

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

From the question, we have the following equation that can be used in our computation:

9y−3x= −54

Rewrite properly

This gives

9y - 3x = -54

Divide through the equation by 3

So, we have the following representation

9y/3 - 3x/3 = -54/3

Evaluate

3y - x = -18

To rewrite as slope-intercept form is to make y the subject

So, we have

3y = x - 18

Divide through the equation by 3

So, we have the following representation

y = x/3 - 6

Hence, the equation is y = x/3 - 6

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THE GENERAL EQUATION OF A STRAIGHT LINE IS y=mx+c

TO FIND c I WILL SUBSTITUTE THE GIVEN KNOWN POINTS.

\( - 5= \frac{1}{2} (2) + c \\ - 5= 1 + c \\ c = - 5 - 1 \\ c = - 6\)

THEREFORE WE NOW HAVE

\( y= \frac{1}{2} x - 6\)

ATTACHED IS THE SOLUTION

The area of the sector is 397.995 m²

For a sector in a circle of radius R, defined by an angle θ, the area is given by the formula:

A = (θ/360)*3.14*R²

Here we know that the radius of the circle is 13 meters, and the angle is 270 degrees.

Then replacing that in the formula for the area we will get:

A = (270/360)*3.14*(13m)²

A = 397.995 m²

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Answer:

3c+ (25x)/(2) + 2

Answer:

1) m<1 = 25

2) m<4 = 155

3) m< 5 = 25

4) m<7 = 25

5) 110

6) 30.5

7) 74

Step-by-step explanation:

1)

x + 155 = 180

x = 25

2)

<4 = 155 because of vertical angle thm

3)

<5 = 25 (congruent to <1) b/c of corresponding angles thm

4)

<7 = <5 (25) because of vertical angles thm

5)

5x + 15 = 8x - 42

-3x = -57

x = 19

5(x) + 15

5(19) + 15 = 110

6)

180 - 110 = 70

3x + x + 4 + 70 = 180

4x + 74 = 180

4x = 106

x = 26.5

x+ 4 = 30.5

7)

180 - 115 = 65

x + 4 + 2x + 65 = 180

3x + 69 = 180

3x = 111

x = 37

2x = 74

Answer:

The answer of that questions is B: 9

Answer:

511.6

Step-by-step explanation:

Reverse the order in which you define 60%

x / .6 (or 60%) = 307

Reverse it to get;

307 = .6(x)

Solve for x;

307 / .6 = x / .6

511.6 = x

TA-DA! I hope this helped ^<^

Completing the squares and comparing to the standard equation, it is found that the diameter of the circle is of \(\sqrt{89}\) units.

\((x - x_0)^2 + (y - y_0)^2 = r^2\)

In this problem, the equation is:

\(x^2 + 5x = -8y - y^2\)

Then:

\(x^2 + 5x + y^2 + 8y\)

Completing the squares:

\(\left(x + \frac{5}{2}\right)^2 + (y + 4)^2 = \left(\frac{5}{2}\right)^2 + 4^2\)

\(\left(x + \frac{5}{2}\right)^2 + (y + 4)^2 = \frac{25}{4} + 16\)

\(\left(x + \frac{5}{2}\right)^2 + (y + 4)^2 = \frac{89}{4}\)

Hence:

\(r^2 = \frac{89}{4}\)

\(r = \sqrt{\frac{89}{4}}\)

\(r = \frac{\sqrt{89}}{2}\)

Hence, the diameter is:

\(d = 2r = 2\left(\frac{\sqrt{89}}{2}\right) = \sqrt{89}\)

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Answer:

Step-by-step explanation:

On Fire! and Kickin' should have the same name. Both salsas have 2:5 ratio of peppers to tomatoes. Blazin' has a ratio of 1:3 and Feel the Burn has a ratio of 1:2.

Answer:

Pretty sure its 60

Step-by-step explanation:

Basic geometry

Answer:

d > -2

Step-by-step explanation:

-2d-2 < 3d+8

3d+8 > -2d-2

3d + 2d > -2 -8

5d > -10

d > -2

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Answer:

x > 2

Step-by-step explanation:

Given

5x + \(\frac{1}{3}\)(3x + 6) > 14 ← distribute and simplify left side

5x + x + 2 > 14

6x + 2 > 14 ( subtract 2 from both sides )

6x > 12 ( divide both sides by 6 )

x > 2

Answer: x > 2  

Step-by-step explanation:

5x + 1/3(3x +6) > 14     Distribute

5x + 1x + 2 > 14     Combine like terms on the left side

  6x + 2 > 14      Subtract 2 from both sides

         -2    -2

   6x > 12      Divde both sides by 6

 x > 2

Answer:

The probability is 0.341

Step-by-step explanation:

Here, we want to calculate the probability that the student will win exactly one of the two matches

This means that;

If they win on Saturday, they lose on Sunday

or

If they lose on Saturday, they win on sunday

So either of the two scenarios will give that the team will win on either of the two days

Mathematically, we have that;

(0.45 * 0.33) + (0.55 * 0.35)

= 0.1485 + 1925

= 0.341

Complete question :

Sathish is going on a 2100-kilometer road trip with 2 friends, whom he will pick up 150 kilometers after he begins the trip and drop off when there are 150 kilometer remaining. The car consumes 6 liters of gas for every 100 kilometers, and gas costs $1.20 per liter.

Sathish will pay for all of the gas when he is alone in the car, but he and his friends will split the cost evenly when they are together.

How much will Sathish pay for gas?

Answer:

$64.8

Step-by-step explanation:

Given that :

Total length of trip = 2100 km

Length of journey with Satish alone in the car:

(150km) beginning + (150km) ending = 300km

Length of journey with Satish and 2 friends :

2100 km - 300 km = 1800 km

Gas consumption:

6 liters per 100km

Cost of gas = $1.2 / litre

Consumption when Satish is alone :

(6 litres /100 km) * 300km = 18 litres

Cost = $1.2 * 18 = $21.6

Consumption with his 2 friends :

(6 litres /100 km) * 1800 km = 10800 / 100 = 108 litres

Cost = $1.2 * 108 = $129.6

Since amount is shared equally :

Amount paid by sattish = $129.6 / 3 = $43.2

Hence, total amount paid by Sattish is :

$21.6 + $43.2

= $64.8

Answer:

64.80 or 64.8

Step-by-step explanation:

whatever works <333

Answer:

\( - \frac{8}{\pi} \)

Step-by-step explanation:

Use slope formula.

Rise over run.

Or

y over x.

\( \frac{ {y}^{2} - y {}^{1} }{ {x}^{2} - x {}^{1} } \)

Over changes in x value would be - 3/4 pi.

Plug in seepage intervals for x to find y.

\(6 \cos(2(\pi) - 4\)

In the regular function,

\( \cos(\pi) = 1\)

Since our period is 2, it would stay the same since 1x2=2

Since our amplitude is 6, our y value now is 6.

Since our vertical shift is -4, our y value is 2.

So

\(6 \cos(2(\pi)) - 4 = 2\)

\( {x}^{2} = \pi \: \: \: \: {y}^{2} = 2\)

Let do the other point,

\( \cos( \frac{\pi}{4} ) = \frac{ \sqrt{2} }{2} \)

Our period is 2 so

\( \frac{ {\pi} }{4} \times \frac{2}{1} = \frac{\pi}{2} \)

\( \cos( \frac{\pi}{2} ) = 0\)

Multiply this by 6.

It stays 0 then subtract 4 we get

\(6 \cos(2( \frac{\pi}{4} )) - 4 = - 4\)

Use the earlier formula, slope

\( \frac{2 + 4}{ - \frac{3\pi}{4} } = - \frac{8}{\pi} \)

Answer:

$8.50

Step-by-step explanation:

$29.75 / 3.5 hours = $8.50 per hour

Answer:

8.5 per hour

Step-by-step explanation:

Take the total amount and divide by the number of hours

29.75 / 3.5

8.5 per hour

Answer:

D

Step-by-step explanation:

Answer:

i think D but i might be wrong

Step-by-step explanation:

Answer: 6 and 5

Explanation:

6+5 is 11

6-5 is 1

Answer:

The two numbers are 5 and 6

Step-by-step explanation:

I hope this helps!

a) The number of ways to form a committee of 6 people from the department is 177,100.

b) The number of ways to form a committee of 6 people with an equal number of men and women is 54,600.

c) The number of ways to form a committee of 6 people with more women than men is 91,455.

a) To form a committee of 6 people from the department, we can choose 6 individuals from a total of 25 people (10 men + 15 women). The order in which the committee members are chosen does not matter, and we are not concerned with any specific positions within the committee. Therefore, we can use the concept of combinations.

The number of ways to choose 6 people from a group of 25 is given by the combination formula:

C(25, 6) = 25! / (6! * (25 - 6)!) = 25! / (6! * 19!) = 177,100

Therefore, there are 177,100 ways to form a committee of 6 people from the department.

b) In this case, we need to choose an equal number of men and women for the committee. We can select 3 men from the available 10 men and 3 women from the available 15 women. Again, the order of selection does not matter.

The number of ways to choose 3 men from 10 is given by the combination formula:

C(10, 3) = 10! / (3! * (10 - 3)!) = 10! / (3! * 7!) = 120

Similarly, the number of ways to choose 3 women from 15 is:

C(15, 3) = 15! / (3! * (15 - 3)!) = 15! / (3! * 12!) = 455

To find the total number of ways to form a committee with an equal number of men and women, we multiply these two combinations:

Total = C(10, 3) * C(15, 3) = 120 * 455 = 54,600

Therefore, there are 54,600 ways to form a committee of 6 people with an equal number of men and women.

c) In this case, we need to form a committee with more women than men. We can choose 1 or 2 men from the 10 available men and select the remaining 6 - (1 or 2) = 5 or 4 women from the 15 available women.

For 1 man and 5 women:

Number of ways to choose 1 man from 10: C(10, 1) = 10

Number of ways to choose 5 women from 15: C(15, 5) = 3,003

For 2 men and 4 women:

Number of ways to choose 2 men from 10: C(10, 2) = 45

Number of ways to choose 4 women from 15: C(15, 4) = 1,365

The total number of ways to form a committee with more women than men is the sum of these two cases:

Total = (Number of ways for 1 man and 5 women) + (Number of ways for 2 men and 4 women)

     = 10 * 3,003 + 45 * 1,365

     = 30,030 + 61,425

     = 91,455

Therefore, there are 91,455 ways to form a committee of 6 people with more women than men.

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The ratio of the probability of flipping a tail to the probability of flipping a head when the probability of getting three heads is the same as the probability of getting exactly two tails in three flips is 1/3.

Let p be the probability of flipping a head and q be the probability of flipping a tail.

The probability of getting three heads in three flips is \((p)^3.\)

The probability of getting exactly two tails in three flips is 3pq².

Given that these probabilities are equal, we have:

\((p)^3\)= 3pq²

Simplifying this equation gives:

p = 3q

Dividing both sides by q gives:

p/q = 3

Therefore, the ratio of the probability of flipping a tail to the probability of flipping a head is 1/3.

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The number of cookies in the jar initially was 42

To find out how many cookies were in the jar initially, we can use algebra to represent the problem. Let x be the number of cookies in the jar initially. After Latoya took half of the cookies, Mark took 1/3 of the remaining cookies, Kandi took 1/4 of the remaining cookies, and Shannon took 1 cookie, there are 2 cookies left in the jar.

We can use this information to set up the equation:

x/2 - (x/2)/3 - (x/2)/4 - 1 - 2 = 0.

By solving this equation, we get x = 42. This means there were 42 cookies in the jar initially. To find out how many cookies were there before Latoya came, we just add the 2/3 of a cookie that was left over to the 2 whole cookies we know of.

So, 42+2/3 = 42.67 which means 42 cookies were there before Latoya came.

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The scenarios can be sorted into two categories based on the type of credit they represent: consumer credit and business credit.

Consumer credit refers to credit extended to individuals for personal use. Scenarios that fall under consumer credit include obtaining a credit card, taking out a car loan, or applying for a mortgage. These forms of credit are typically used by individuals to make purchases or investments that enhance their personal lives or meet their basic needs.

On the other hand, business credit relates to credit extended to businesses or organizations for their operational or investment purposes. Examples of scenarios that fall under business credit include securing a business loan to expand operations, establishing a line of credit for purchasing inventory, or obtaining trade credit from suppliers. Business credit helps companies manage cash flow, invest in growth opportunities, and meet their financial obligations.

By categorizing scenarios into consumer credit and business credit, we can distinguish between credit used for personal purposes and credit utilized by organizations for business-related needs. It is important to consider these categories when evaluating credit options and understanding the implications of different types of credit on personal or business finances.

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Answer:

I don't know this answer

Answer:

Step-by-step explanation:

Can't do the solution but you can do it.

Just learn how to solve the multiplication with partitioning strategy, grid method, and expanded method. You can search it and learn it by watching and understanding how to solve all of them. But I want to say sorry, because I can't answer the number 4 cause I don't know to do it. Really sorry.

Hope it helps

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When price is measured on the vertical axis of a graph, a change in price will result in a shift of the curve, not a rotation. This is because the shape of the curve remains constant, but the entire curve moves up or down along the vertical axis.

The reason for this shift is because the price of a product or service is one of the main determinants of demand. When the price of a product increases, the demand for that product will decrease because consumers are less willing to pay the higher price. This means that the quantity demanded will shift to a lower point on the curve, resulting in a downward shift of the demand curve.

Conversely, when the price of a product decreases, the demand for that product will increase because consumers are more willing to pay the lower price. This means that the quantity demanded will shift to a higher point on the curve, resulting in an upward shift of the demand curve.

Therefore, a change in price will result in a shift of the curve, not a rotation, because the shape of the curve remains constant while the entire curve moves up or down along the vertical axis.

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The measure of angle ∠3 is,

⇒ ∠ 3 = 154°.

Given that;

Parallel lines are Streets A and B

Transversal line is, Street C

m∠6 = 154°

m∠5 = 26°

Since, Angles 5 and 6 are adjacent angles and supplementary whose sum of degree measure is 180°.

Parallel lines are two or more lines equidistant to each other.

Since, When a transversal cuts or intersects parallel lines, angles pairs are formed. They are either congruent or supplementary.

With reference to ∠5 and ∠6:

∠3 and ∠5 are consecutive interior angles on the same side of transversal. They are supplementary.  

Therefore,

m∠1 + m∠5 = 180°.

Since, ∠3 and ∠6 are alternate interior angles that are non-adjacent and on the opposite sides of transversal.

They are congruent.

Therefore, m∠3≅ m∠6.

For, ∠3 in reference to ∠5:

m∠1 + m∠5 = 180°

m∠1 = 180° - m∠5

m∠1 = 180° - 26°

m∠1 = 154°

For m∠3 in reference to ∠6:

m∠3 ≅ m∠6

m∠3 ≅ 154°

Therefore, the measure of ∠3 = 154°.

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Answer:

m ∠ M L N = 120

m < QLP =50

Step-by-step explanation:

Ray lq at 0 or 180,

ray lp at 50 or 130,

ray ol at 90,

ray ln at 60 or 120

and ray lm at 0 or 180

Lets substitute the values of the angles to check the given options

1) ∠ Q L P + m ∠ P L O =m< MLN+m< NLO m

50 +40= 120+30

90 is not equal to 150

2) m < QLO- m < QLP =m < MLO-m< MLN m

90-50 = 90-120

40 is not equal to 30

3) m< MLN\:=\:120  From the figure based on observation this is correct.

4) m < QLP =50   From the figure based on observation this is also correct.

Answer:

Given: Angle L N O ≅ Angle L N M

           Angle O L N ≅ Angle M L N

Prove: Angle L N O ≅ Angle L N M

Triangles L O N and L M N share common side L N. Angles O L N and N L M are congruent. Angles O N L and L N M are congruent.

It is given that angle LNO is congruent to angle

✔ LNM

and angle OLN is congruent to angle

✔ MLN

. We know that side LN is congruent to side LN because of the

✔ reflexive property

. Therefore, because of

✔ ASA

, we can state that triangle LNO is congruent to triangle LNM.

Step-by-step explanation:

The expression that correctly calculates the perimeter of the shape is given as follows:

P = 2(6s + πr).

In which:

The perimeter of a square of side length s is given as follows:

P = 4s.

Hence, for three squares, the perimeter is given as follows:

P = 3 x 4s

P = 12s.

The perimeter, which is the circumference of a semicircle of radius r, is given by the equation presented as follows:

C = πr.

Hence the perimeter of two semicircles is given as follows:

C = 2πr.

The perimeter of the entire shape is given by the sum of the perimeter of each shape, hence:

P = 12s + 2πr.

P = 2(6s + πr).

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