How do I convert these improper fractions to mixed numbers: 29/4, 13/6, 73/9, 65/8, 17/2, 5/2, 25/4, 43/7, 29/4, 73/9, 19/3, 43/
slava [35]
Divide the numerator by the denominator
use the answer as the whole number
use the remainder as the numerator
keep the deniminator
the answers:
7 1/4
2 1/6
8 1/8
8 1/2
2 1/2
6 1/4
6 1/7
7 1/4 (same question)
8 1/8 (same question)
6 1/3
2 1/5
9 1/10
6 1/6
<span>The correct answer is option C. i.e. When a a parallelogram rotates about its center., then taking 180 degrees as the angle of rotation, the image of the parallelogram coincide with its preimage. Thus 180 degree rotation is the answer.</span>
If 30 60 90 right triangle then ratio of short leg : long leg : hypotenuse = a : a√3 : 2a
in this case
short leg = 4
long leg = 4√3 (short leg times √3)
and
hypotenuse = 8 (twice of short leg)
so answer is A.
The angle measures are 30, 60 and 90
Let's solve your system by substitution.
3x−2y=−12;4x+5y=7
Step: Solve3x−2y=−12for x:
3x−2y=−12
3x−2y+2y=−12+2y(Add 2y to both sides)
<u>3x</u>= <u>2y−12
</u>
3 3
=
<u>2y−12
</u>
3
(Divide both sides by 3)
x=
<u>2
</u>
3 y−4
Step: Substitute
<u>2
</u>
3
y−4 for x in 4x+5y=7:
4x+5y=7
4(
2/3 y−4)+5y=7
<u>23
</u>
3
y−16=7(Simplify both sides of the equation)
<u>23</u>
3
y−16+16=7+16(Add 16 to both sides)
<u>23</u>
3
y=23
<u>23</u>
3 y
<u>23
</u>
3 = 23<u>
</u>
<u>23
</u>
3
(Divide both sides by 23/3)
y=3
Step: Substitute 3 for y in x=
<u> 2 </u>
3
y−4:
x=
<u> 2 </u>
3
y−4
x= <u> 2 </u>
3
(3)−4
x=−2(Simplify both sides of the equation)
Answer:
x=−2 and y=3 (underlined and / are fractions or division)
