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Sophie [7]
3 years ago
8

J1, J2 and J3 are three junctions on a motorway. The distance from J2 to J3 is 8.7 miles. The distance from J1 to J2 is one-thir

d of the distance from J2 to J3. Work out the distance from J1 to J3
Mathematics
1 answer:
leonid [27]3 years ago
5 0

Answer:

11.6 miles

Step-by-step explanation:

Given that:

Distance from J2 to J3 = 8.7 miles

Distance between J1 and J2 = 1/3 of J2 toJ3

Hence, distance between J1 and J2 becomes :

1/3 * 8.7 miles = 2.9 miles

Distance from J1 to J3 equals :

(J1 to J2) + (J2 to J3)

2.9 miles + 8.7 miles

= 11.6 miles

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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:

<em>Let length of the trip of Train W be </em>= x miles

Speed of Train W can be given as :

⇒ \frac{Distance}{Time}

⇒ \frac{x}{20}\ miles/h

<em>So, the length of the trip of Train Z will be</em> = (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
Find the Perimeter of the figure below, composed of a rectangle and two semicircles. Round to the nearest tenths place.
NISA [10]
281.25 is the answer i think
5 0
2 years ago
The Freeman family is barbecuing veggie burgers, corn cobs, and mushroom caps in their local park. If 3/8 of the items barbecued
algol [13]

Answer:

7/24

Step-by-step explanation:

Let

total items barbequed = 1

Veggie burgers = 3/8

Corn cobs =1/3

Mushroom caps = x

Veggie burgers + corn cobs + x = 1

3/8 + 1/3 + x = 1

9+8 /24 + x = 1

17/24 + x = 1

x= 1 - 17/24

=24-17 /24

= 7/24

x = 7/24

Fraction of barbequed items that are mushroom's is 7/24

7 0
3 years ago
Need help please I will give brainlist
Vlad [161]

Answer:

it is c

Step-by-step explanation:

c

6 0
2 years ago
Read 2 more answers
Write 108 as a product of primes.<br> Use index notation when giving your answer.
VashaNatasha [74]

Answer:

2^2 * 3^3

Step-by-step explanation:

108 = 2*2*3*3*3

= 2^2 * 3^3.

7 0
3 years ago
Read 2 more answers
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