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Setler [38]
2 years ago
10

Lana's toy boat can sail 7 1/2 yards in 4 1/6 minutes. How far would it sail in 8 3/4 minutes if kept the same pace?

Mathematics
1 answer:
Inessa [10]2 years ago
8 0

Answer:

63/4

Step-by-step explanation:

Let the sails yard in 8 3/4 minutes= X

7 1/2 yards sails= 4 1/6 minutes

X = 8 3/4 minutes

Let us Convert the fraction to improper fraction

4 1/6 minutes= 25/6 minutes

8 3/4 minutes= 35/4 minutes

7 1/2 yards sails= 15/2 sails yard

Then

15/2 yards sails= 25/6 minutes

X = 35/4 minutes

If we cross multiply

25/6 X = 15/2 × 35/4

25/6 X =525/8

6 × 525= (25× 8)X

3150= 200X

X= 3150/200

X=63/4

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A rectangular pool has a sidewalk around it. The pool measures 6 feet by 10 feet and the total area of the pool and sidewalk is
Otrada [13]

Answer:

width of the sidewalk = 1 feet

Step-by-step explanation:

Area of the pool = length × width

Length = 10 feet

Width = 6 feet

Area of the pool = length × width

= 10 feet × 6 feet

= 60 feet²

Area of the pool = 60 feet²

Total area = Area of the pool + Area of sidewalk

96 feet² = 60 feet ² + Area of sidewalk

Area of sidewalk = 96 feet² - 60 feet ²

Area of sidewalk = 36 feet²

Length of pool + sidewalk = 10 + 2x

width of pool + sidewalk = 6 + 2x

( 10 + 2 x ) ( 6 + 2 x ) -60 = 36

60 + 20x + 12x + 4x² - 60 = 36

4x² + 32x - 36 = 0

4x² + 36x - 4x - 36 = 0

4x (x + 9) -4(x + 9) = 0

(4x - 4) (x + 9) = 0

4(x - 1) (x + 9) = 0

(x - 1) = 0 (x + 9) = 0

x = 1 or x = -9

The width of the side walk can't be a negative value

Therefore, width of the sidewalk = 1 feet

7 0
2 years ago
Which situation represents a proportional relationship?
lesya [120]
I’m pretty sure it is C? But I’m not 100% sure
4 0
3 years ago
Read 2 more answers
Help I don’t know how to figure this problem out
Montano1993 [528]
3x + 10 = 5x - 4
14 = 2x
x = 7 

measure of the angles is 3(7) + 10  = 31 degrees
5 0
2 years ago
What is 5.46÷ 0.25 (show ur work long divison)
Licemer1 [7]
5.46/0.25= 21.84 hope it helps

3 0
2 years ago
Can't somebody help me math work please i need help
valentina_108 [34]

Answer:

TUP and PUQ

Step-by-step explanation:

Adjacent angles share a common vertex and common side, but don't overlap.

7 0
2 years ago
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