A). 39⁄64 × 8⁄13 ====> 39 / 64 * 8 / 13 ===> 312/832 ==> 3 / 8 (Decimal: 0.375).
B). 2⁄3 × 1⁄5 × 4⁄7 ==> 2/3 * 1/5 * 4/7 ====> 8 / 105 ===> (Decimal: 0.07619)
C). 3⁄5 × 10⁄12 × 1⁄2 ===> 3/5 * 10/12 ===> 30/60 ===> 1/2 ==> 1/2 * 1/2 ===> 1/4 (Decimal: 0.25)
D). 4⁄9 × 54 ===> 4 * 54/ 9.1 ====> 216/9 ===> 24/1 ===> 24
E). 20 × 3 1⁄5 ===> 20 * 16/ 1.5 ====>320/5 ====> 64/1 =====> 64
F). 11 × 2 7⁄11 ====> 319/11 ====> 29/1 ======> 29
G). 5 1⁄3 × 5 1⁄8 ==> 16/3 * 41/8 ==> 656/24 ==> 82/3 ==> 27 1/3 ==> (Decimal: 27.33333)
H). 10 2⁄3 × 1 3⁄8 ===> 32/3 * 11/8 ===> 44 / 3 ===> 14 2/3 ==> (Decimal: 14.666667)
Hope that helps!!!! : )
To solve the set of equations given above, we can use the substitution method where we substitute one equation to the other and solving for one variable. We do as follows:
<span>0.4x - 0.1y = 2
x = 5 + 0.25y
0.2x + 0.5y = 1
</span>0.2(5 + 0.25y)+ 0.5y = 1
y = 0
x = 5
Therefore, the correct answer from the choices is option A, (5,0).
Answer:
Step-by-step explanation:
AD = DC and BE=EC ⇒
DE = 1/2AB
- 4x + 1 = 1/2(11x - 25)
- 2(4x + 1) = 11x - 25
- 8x + 2 = 11x - 25
- 11x - 8x = 2 + 25
- 3x = 27
- x = 27/3
- x = 9
DE = 4*9 + 1 = 36 + 1 = 37
Answer:
384cm^2,
Step-by-step explanation:
The top and bottom margins of a poster are each 6 cm and the side margins are each 4 cm. If the area of printed material on the poster is fixed at 384 cm^2,
Answer:
[text] x = p(m - n) [/tex]
Or
[text] x = pm - pn [/tex]
Step-by-step explanation:
Given:
[text] m = n + \frac{x}{p} [/tex]
Required:
Make x the subject of the formula
Solution:
What we are required to do is to rewrite the equation so that x will be alone on one side while the other variables will be on the other side.
[text] m = n + \frac{x}{p} [/tex]
Subtract n from each side
[text] m - n = n + \frac{x}{p} - n [/tex]
[text] m - n = \frac{x}{p} [/tex]
Multiply both sides by p
[text] p(m - n) = \frac{x}{p}*p [/tex]
[text] p(m - n) = x [/tex]
[text] x = p(m - n) [/tex]
Or
[text] x = pm - pn [/tex]
