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3 years ago

Choose and then match the ratio which is equivalent

Mathematics

1 answer:

madreJ [45]3 years ago

4 0

1. 5 to 20 ---> c. 20 to 80

(5/20 and 20/80, both have the same answer(ratio) which is equal to 1/4)

2. 5 to 40 ---> e. 11 to 88

(5/40 and 11/88, both have the same answer(ratio) which is equal to 1/8)

3. 9 to 45 ---> b. 7 to 35

(9/45 and 7/35, both have the same answer(ratio) which is equal to 1/5)

4. 2 to 20 ---> a. 1 to 10

(2/20 and 1/10, both have the same answer(ratio) which is equal to 1/10)

5. 4 to 12 ---> d. 10 to 30

(4/12 and 10/30, both have the same answer(ratio) which is equal to 1/3)

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Answer:

20ft

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Specifically, the scale factor is .8 if the actual size is 20ft, 1 if the actual size is 25ft, and 1.2 if the actual size is 30ft.

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4 years ago

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4 years ago

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Step-by-step explanation:

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3 years ago

Two trains start from Fort Worth traveling at the same speed. The trip for Train W takes 20 hours, while the trip for Train Z ta

MrMuchimi

Answer:

The equation that best models this situation is :

b. $\frac{x}{20}=\frac{x+400}{25}$

Distance traveled by Train W = 1600 miles

Distance traveled by Train Z = 2,000 miles

Step-by-step explanation:

Given:

Time taken for Train W to complete a trip = 20 hours

Time taken for Train Z to complete a trip = 25 hours

The city Train Z is traveling to is 400 miles farther away than the city Train W is traveling to.

both trains have same speeds and start from same location.

To find the distance in total each train travels.

Solution:

Let length of the trip of Train W be = $x$ miles

Speed of Train W can be given as :

⇒ $\frac{Distance}{Time}$

⇒ $\frac{x}{20}\ miles/h$

So, the length of the trip of Train Z will be = $(x+400)$ miles

Speed of Train Z can be given as :

⇒ $\frac{Distance}{Time}$

⇒ $\frac{x+400}{25}\ miles/h$

Since the speeds are same, so the equation to find $x$ can be given as:

⇒ $\frac{x}{20}=\frac{x+400}{25}$

Solving for $x$

Multiplying both sides by 100 to remove fractions.

⇒ $100\times \frac{x}{20}=100\times \frac{x+400}{25}$

⇒ $5x=4(x+400)$

Using distribution.

⇒ $5x=4x+1600$

Subtracting both sides by $4x$

⇒ $5x-4x=4x-4x+1600$

⇒ $x=1600$

Thus, Distance traveled by Train W = 1600 miles

Distance traveled by Train Z = $1600+400$ = 2,000 miles

3 0

3 years ago

NEED HELP ASAP!!!!!!!!!!!

Arte-miy333 [17]

Answer:

Step-by-step explanation:

Let the no of cars be x and no of buses be y.

x + y = 60 -> y = 60 - x

6x + 30y = 600

with the available equations let us calculate the values of x and y.

6x + 30 * (60-x) = 600

6x + 1800 - 30x = 600

24x = 1200

x cars = 50

y buses = 10

maximum profit = 50 * 2.5 + 10 * 7.5 = $200

5 0

3 years ago