Answer:
9/4
Step-by-step explanation:
2 1/4 = 9/4 From mixed fraction to an improper fraction: "the numerator of the improper fraction" = "denominator" xx "the whole number" + "the numerator of the mixed fraction" The denominator remains as it is. So 2 1/4 = (4 xx 2 + 1)/4 = 9/4
A liter is equal to 1,000 mL
Meaning, the fraction would be
Answer:
Step-by-step explanation:
20) the plane figure is a parallelogram. In a parallelogram, the opposite sides are equal. This means that
2a + 6 = 3a - 10
3a - 2a = 6 + 10
a = 16
Also
6b - 3 = 5a + 1
6b = 5a + 1 + 3
6b = 5a + 4
Substituting a = 16 into 6b = 5a + 4, it becomes
6b = 5 × 16 + 4
6b = 84
b = 84/6 = 14
21) The opposite angles of a parallelogram are congruent. Therefore,
5b + 6 = 8a - 10
8a - 5b = 6 + 10
8a - 5b = 16 - - - - - - - - - - 1
Also
The sum of consecutive angles is 180 degrees. Therefore,
8a - 10 + 4a - 8 = 180
8a + 4a - 10 - 8 = 180
12a = 180 + 18 = 198
a = 198/12 = 16.5
Substituting a = 16.5 into equation 1, it becomes
8 × 16.5 - 5b = 16
132 - 5b = 16
5b = 132 - 16 = 116
b = 116/5 = 23.2
22) The diagonals of the he parallelogram bisect each other. Therefore,
5b - 7 = 3b + 6
5b - 3b = 6 + 7
2b = 13
b = 13/2 = 6.5
Also,
3b - 5 = 2a
2a = 3 × 6.5 - 5
2a = 14.5
a = 14.5/2 = 7.25
23) opposite sides of the parallelogram are equal. Therefore,
1.4b = b + 8
1.4b - b = 8
0.4b = 8
b = 8/0.4 = 20
Also,
3a + 1.8 = 4a - 6.6 (they are alternate angles). Therefore,
4a - 3a = 1.8 + 6.6
a = 8.4
Answer:
Well.
\ /
<em> 2 solutions </em>
x =(-7-√65)/2=-7.531
<em> x =(-7+√65)/2= 0.531</em>
/ \
Using the quadratic formula..
2.3 Solving x2+7x-4 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 1
B = 7
C = -4
Accordingly, B2 - 4AC =
49 - (-16) =
65
Applying the quadratic formula :
-7 ± √ 65
x = —————
2
√ 65 , rounded to 4 decimal digits, is 8.0623
So now we are looking at:
x = ( -7 ± 8.062 ) / 2
<em> </em><em> \ /</em>
<em> Two real solutions:</em>
<em> x =(-7+√65)/2= 0.531</em>
<em> or:</em>
<em> x =(-7-√65)/2=-7.531</em>
\ /
*eliza*
<span>a - {5b - [a - (3b - 2c) + c - (a - 2b - c)]}
= </span><span>a - 5b - a - 3b + 2c + c - a + 2b + c
= -a - 6b + 4c
answer is </span><span>-a - 6b + 4c (first choice)</span>
