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k0ka [10]
4 years ago
7

A​ high-speed catamaran operates between city and city

Mathematics
1 answer:
suter [353]4 years ago
4 0
Since speed= distance/ time. The answer can be found by dividing the distance by the time:
157/2.5=62.8miles per hour
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How do you solve this using substitution? <br> -x+y=1<br> x+y=-1
Alexeev081 [22]
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form: (-1,0)
Equation form: x=-1,y=0
4 0
4 years ago
Priya and Han both factored the number 80. Priya says they should both get the same answer even if they started with different f
meriva

Answer:

Priya is right.

Step-by-step explanation:

The factors of 80 is 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

The factor pairs of 80 are

1 x 80, 2 x 40, 4 x 20, 5 x 16 and 8 x 10

If Priya picks 2 x 40, then it's prime factorisation will be, 2 x 2 x 2 x 2 x 5 = 2⁴ x 5.

If Han picks, 5 x 16 = 5 x 2 x 2 x 2 x 2 = 5 x 2⁴ = 2⁴ x 5. This is the same.

Therefore, Priya is correct, because the factors of 80 are always the same, therefore which ever you start with, you'd always get the same answer.

4 0
3 years ago
A rectangular garden measures 12 m by 5 m. A path of uniform width runs along one side and one end. If the total area of the gar
Nuetrik [128]
<h3>Answer:  2 meters</h3>

========================================================

Explanation:

x = width of the sidewalk path

The variable x is some placeholder for a positive number.

Check out the diagram below.

The green rectangle is the garden itself. The gray portion represents the sidewalk path. It's only along one vertical side and one horizontal side. So this sidewalk does not entirely encompass the garden.

If the horizontal component of the green garden rectangle is 12 meters, then it bumps up to 12+x meters when we incorporate the sidewalk.

Similarly, the vertical component of 5 meters bumps up to 5+x meters.

The entire figure is (12+x) by (5+x) which leads to an area of...

area = length*width

area = (12+x)(5+x)

area = 12(5+x) + x(5+x)

area = 60+12x+5x+x^2

area = x^2+17x+60

Set this equal to the desired area of 98 and solve for x.

x^2+17x+60 = 98

x^2+17x+60-98 = 0

x^2+17x-38 = 0

(x+19)(x-2) = 0

x+19 = 0 or x-2 = 0

x = -19 or x = 2

We stated earlier that x was positive, so we're going to ignore the first solution. Only x = 2 is practical here, so it's the final answer.

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

Note that if x = 2, then,

  • horizontal length = 12+x = 12+2 = 14 meters
  • vertical width = 5+x = 5+2 = 7 meters
  • larger area = length*width = 14*7 = 98 square meters

This helps us confirm we have the correct answer.

7 0
3 years ago
Simplify this fraction, it can be a whole number or decimal :)<br> 4.2/-0.2
3241004551 [841]

Answer:

yes cuz +1+1

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
I need to the find the vertex and x intercept
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4 years ago
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