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2 years ago

A kangaroo hops 2 kilometers in 3 minutes. At this rate how long does it take the kangaroo to travel 3 kilometers?

Mathematics

1 answer:

Anna007 [38]2 years ago

4 0

Answer:

4 minutes 3 seconds

Step-by-step explanation:

Step one:

Given data

A kangaroo hops 2 kilometers in 3 minutes

The rate/speed is

rate/speed= 2/3 km per minute

Required

the time taken to cover 3 km

Step two:

We know that

rate= distance/time

2/3= 3/t

cross multiply we have

2t=3*3

2t=9

divide both sides by 2

t= 9/2

t= 4.5 minutes

t= 4 minutes 3 seconds

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Find the number of rectangles in 8×8 chessboard. (not just the 1x1 squares)

Gekata [30.6K]

Answer:

288

Step-by-step explanation:

Number of rectangles

____________________________________________________________

1 × 1 squares 9-1 = 1 = 8*8 = 64

1 × 2 squares 9-2 = 7 = 8*7 = 56

1 × 3 squares 9-3 = 6 = 8*6 = 48

1 × 4 squares 9-4 = 5 = 8*5 = 40

1 × 5 squares 9-5 = 4 = 8*4 =32

1 × 6 squares 9-6 = 3 = 8*3 = 24

1 × 7 squares 9-7 = 2 = 8*2 = 16

1 × 8 squares 9-8 = 1 = 8*1 = 8

64 + 56 + 48 + 40 + 32 + 24 + 16 + 8 = 288

Thus,

the number of squares on a chessboard is 228.

Hope this helps :)

8 0

3 years ago

What is the equation of the blue line

Elis [28]

Answer: y+-1m -1

Step-by-step explanation:

5 0

2 years ago

Write an equation that represents the line. Use exact numbers

mestny [16]

The equation that represents the line is:

$y = \frac{5}{6}x+\frac{8}{3}$

Step-by-step explanation:

We have to observe the graph to find the points on line

So the points on line are:

(x1,y1) = (4,6)

(x2,y2) = (-2,1)

First of all we have to find the slope

$m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{1-6}{-2-4}\\=\frac{-5}{-6}\\=\frac{5}{6}$

Equation of line is given by:

$y=mx+b$

Putting the value of slope

$y = \frac{5}{6}x +b$

Putting (4,6) in the equation

$6 = \frac{5}{6}(4)+b\\6 = \frac{20}{6} +b\\b = 6 - \frac[20}{6}\\b = \frac{36-20}{6}\\b = \frac{16}{6}\\b = \frac{8}{3}$

Putting the value of b

$y = \frac{5}{6}x+\frac{8}{3}$

Hence,

The equation that represents the line is:

$y = \frac{5}{6}x+\frac{8}{3}$

Keywords: Equation of line, slope

Learn more about equation of line at:

#LearnwithBrainly

7 0

2 years ago

Factor the polynomial F(x) =x^3-x^2-4x+4 completely.

Norma-Jean [14]

Answer:

Step-by-step explanation:

PART 1:

Possible roots by noticing the coefficient of first term:

x = 1, -1

PART 2:

1 | 1 -1 -4 4

1 0 -4

1 0 -4 0

The remainder is zero, hence one factor is (x-1)

PART 3:

$x^3-x^2-4x+4=(x^2-4)(x-1)\\\\x^3-x^2-4x+4=(x+2)(x-2)(x-1)$

PART 4:

$f(x)=(x+2)(x-2)(x-1)\\\\=(x^2-4)(x-1)\\\\=x^3-4x-x^2+4\\\\=x^3-x^2-4x+4$

6 0

3 years ago

A cereal manufacturer has a tolerance of 0.75 oz for a box of cereal that is supposed to weigh 20 oz. Determine the compound ine

Advocard [28]

I hope it helps you

3 0

3 years ago