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Alexeev081 [22]
3 years ago
7

A new park is built with a 3/4 mile trail around a lake. The city wants to include a bench every 1/8 of a mile. How many benches

are needed.
Mathematics
2 answers:
Andrews [41]3 years ago
8 0
The answer is 6 benches are needed
aleksandr82 [10.1K]3 years ago
5 0

Answer:

6 benches are needed

Step-by-step explanation:

3/4= 6/8

1/8 goes into 6/8, 6 times so,

6 benches are needed on the 3/4 mile trail

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Solve system of equations<br><img src="https://tex.z-dn.net/?f=x%20%2B%202y%20-%20z%20%3D%204%20%5C%5C%202x%20-%20y%20%2B%203z%2
Natasha2012 [34]

First, using elimination method for eq. 1 and 2 to eliminate one of the variables.

2x - y + 3z = 8

-2x + 3y - 2z = 10

------------------------------

2y + z = 18

z = 18 - 2y

Now eq. 1 and 3, but multiple eq.1 with 2.

2x + 4y - 2z = 8

-2x + 3y - 2z = 10

----------------------------

7y - 4z = 18

Now you have two new equations 7y -4z = 18 and z = 18 - 2y. Solve for y and z, using substitute method.

7y - 4z = 18

7y - 4(18 - 2y) = 18

7y - 72 + 8y = 18

15y = 18+72

y = 90/15

y = 6

Find z using one of the two new equations.

z = 18 - 2y

z = 18 - 2(6)

z = 18 - 12

z = 6

Now you got y and z, find x using any one of the main three equations.

x + 2y - z = 4

X + 2(6) - 6 = 4

x + 12 - 6 = 4

x = 4 - 6

x = -2

Solutions:

x = -2

y = 6

z = 6

3 0
3 years ago
The volume of a cylinder is 1029pi cmcubed. The radius of the base of the cylinder is 7 cm. What is the height of the​ cylinder?
DedPeter [7]

Answer:

Height is 21cm

Step-by-step explanation:

Volume of the cylinder = 1029pi

Base area = 7x7xpi = 49pi

Therefor the height = 1029pi/49pi=1029/49 = 21cm

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So a serving of reduced fat milk has .5875 * 8 g = 4.7 g of fat.</span><span>
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