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makkiz [27]
2 years ago
6

Mr. Hopkins has a 1-meter wire he is using to make clocks. Each fourth meter is marked off and

Mathematics
1 answer:
kicyunya [14]2 years ago
8 0

Answer: fraction = 1/20 or 0.05

Step-by-step explanation:

Let's first convert metre to centimeter

1 metre = 100 centimeters

Given that Each fourth meter is marked off and divided into 5 smaller equal lengths. This means:

1/4 × 100 = 25

Then divide 25 into 5 places

25/5 = 5cm

If Mr. Hopkins bends the wire at - meter, what fraction of the smaller marks is that?

The fraction = 5/100 = 1/ 20 or 0.05

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The lines given by the equations y=2x and y=4x+1 are
BartSMP [9]

the equations are already in slope-intercept form, therefore


\bf \begin{array}{|c|ll}
\cline{1-1}
slope-intercept~form\\
\cline{1-1}
\\
y=\stackrel{\stackrel{slope}{\downarrow }}{m}x+\stackrel{\stackrel{y-intercept}{\downarrow }}{b}\\\\
y=mx+b
\\\\
\cline{1-1}
\end{array}~\hspace{8em}y=\stackrel{slope}{2}x\qquad y=\stackrel{slope}{4}x+1


so their slopes are 2 and 4.

parallel lines have exactly the same slope, these ones do not, so they're not parallel.

perpendicular lines, have negative reciprocal slopes, in short, their product gives -1, 2*4 ≠ -1, so they're not perpendicular either.

8 0
3 years ago
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scoundrel [369]

Answer:

D

Step-by-step explanation:

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5 0
3 years ago
ABCD is a parallelogram. If AB= 3x -7 and CD = 5x - 19, find x.
kakasveta [241]

Answer:

x=6

Step-by-step explanation:

3x-7=5x-19

12=2x

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8 0
2 years ago
A box contains a collection of triangular and square tiles. There are 25 tiles in the box and 84 edges . How many square tiles a
NikAS [45]
This problem here would be a little tricky. Let us take into account first the variables presented which are the following: a collection of triangular and square tiles, 25 tiles, and 84 edges. Triangles and squares are 2D in shape so they give us a variable of 3 and 4 to work on those edges. Let us say that we represent square tiles with x and triangular tiles with y. There would be two equations which look like these:

x + y = 25                    and               4x + 3y = 84

The first one would refer to the number of tiles and the second one to number of edges.

We will be using the first equation to the second equation and solve for one. So if we will be looking for y for instance, then x in the second equation would be substituted with          x = 25 - y           which would look like this:

4 (25 - y) + 3y = 84

Solve.

100 - 4y + 3y = 84
-4y +3y = 84 - 100
-y = -16
-y/-1 = -16/-1
y = 16

Then:
x = 25 -y
x = 25 - 16
x = 9

So the answer is that there are 9 square tiles and 16 triangular tiles.
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3 years ago
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