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3 years ago

You cut 63 meters of rope into 9 equal pieces. How long is each equal piece of rope?

Mathematics

2 answers:

e-lub [12.9K]3 years ago

8 0

They're 7 meters each

nirvana33 [79]3 years ago

5 0

Each piece of rope will be 7 meters

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A flat rectangular piece of aluminum has a perimeter of 60 inches. The length is 14 inches longer than the width. Find the width

dolphi86 [110]

P = 60
l = w + 14

60 = 2(w+14) + 2w
60 = 2w + 28 + 2w
60 = 4w + 28
32 = 4w
width = 8 inches

5 0

3 years ago

Which sequence can be defined by the recursive formula f (1) = 4, f (n + 1) = f (n) – 1.25 for n ≥ 1?

asambeis [7]

Answer:

4, 2.75, 1.5, 0.25, - 1, - 2.25, ...............

Step-by-step explanation:

Using the recursive formula with f(1) = 4, then

f(2) = f(1) - 1.25 = 4 - 1.25 = 2.75

f(3) = f(2) - 1.25 = 2.75 - 1.25 = 1.5

f(4) = f(3) - 1.25 = 1.5 - 1.25 = 0.25

f(5) = f(4) - 1.25 = 0.25 - 1.25 = - 1

f(6) = f(5) - 1.25 = - 1 - 1.25 = - 2.25

Sequence is 4, 2.75, 1.5, 0.25, - 1, - 2.25, .......

8 0

4 years ago

Line E passes through the points (2, 3) and (4, -3). What is the slope of a line perpendicular to line E?

lilavasa [31]

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 2 &,& 3~) 
% (c,d)
&&(~ 4 &,& -3~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-3-3}{4-2}\implies \cfrac{-6}{2}\implies \cfrac{-3}{1}$

now, a line perpendicular to that one, will have a "negative reciprocal" slope, thus

$\bf \textit{perpendicular, negative-reciprocal slope for}\quad \cfrac{-3}{1}\\\\
negative\implies +\cfrac{3}{ 1}\qquad reciprocal\implies +\cfrac{ 1}{3}\implies \cfrac{1}{3}$

7 0

3 years ago

Solve the equation <br>2√x+1=7-x

BaLLatris [955]

Answer:
x = 8 − 2√7
Explanation: Isolate the radical, then raise each side of the equation to the power of its index.

6 0

3 years ago

67.52 = 21.60 + 2x what is the correct answer

Rom4ik [11]

Answer:

The answer is x=22.96

Step-by-step explanation:

hope that helps

67.52=21.6+2x

67.52=2x+21.6

2x+21.6=67.52

2x+21.6−21.6=67.52−21.6

2x=45.92

2x/2=45.92/2

x=22.96

6 0

3 years ago