Answer:
A fraction is a number consisting of one or more equal parts of a unit. It is denoted by the symbol a/b, where a and b≠0 are integers (cf. Integer). The numerator a of a/b denotes the number of parts taken of the unit; this is divided by the number of parts equal to the number appearing as the denominator b.
Step-by-step explanation:
Answer:
Michael 24
Noor 42
Step-by-step explanation:
Ratio is 4:7
The initial quatity is 4x and 7x
After giving 3 shares the quatities are
4x - 3 and 7x + 3
Set equal to the new ratio
(4x - 3) / (7x + 3) = 7 / 15
Cross multiply
15(4x - 3) = 7(7x + 3)
Distribute
60x - 45 = 49x + 21
Add 45 to both sides
60x = 49x + 66
Subtract 49x from both sides
11x = 66
Divide both sides by 11
x = 6
Therefor
4x = 4*6 = 24 <–––– Michael's initial quantity
7x = 7*6 = 42 <–––– Noor's initial quantity
Answer:
Not sure what you mean, but there are 2 tenths in two tenths?? Just incase you meant "How many hundredths are in two tenths", the answer would be 20 hundredths.
Step-by-step explanation:
9514 1404 393
Answer:
- B → X
- C → Y
- D → Z
- 180° rotation about the origin
Step-by-step explanation:
In general, if PQ is rotated to P'Q', the center of rotation (O) will be the point of intersection of the perpendicular bisectors of PP' and QQ'. The angle of rotation will be the angle POP', or QOQ'.
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The correspondence between preimage vertices ABCD and image vertices can be found by naming the vertices in the same order (clockwise) from one whose correspondence you know.
Here, the correspondence between A and W is given. Vertices clockwise from W are WXYZ, so those are the image points corresponding to ABCD.
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We note that the midpoints of AW and BX are coincident at the origin. That is, the perpendicular bisectors of these segments are coincident at the origin, so the origin (point O) is the center of rotation. The rotation angle is AOW, an angle that measures 180°.
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The image point coordinates are the opposites of the preimage point coordinates.
A(2, 2) ⇒ W(-2, -2)
B(2, 5) ⇒ X(-2, -5)
C(5, 5) ⇒ Y(-5, -5)
D(5, 2) ⇒ Z(-5, -2)
This is another indication that the rotation is 180° about the origin, since that rotation results in the mapping ...
(x, y) ⇒ (-x, -y) . . . . . rotation 180° about the origin