Step-by-step explanation:
The above given statements can be written as decimals by first writing both quantities in a statement in the same unit.
1. $6.00 to 95 cents:
This is same as $6.00 : 95 cents = \frac{6.00}{95}956.00
Convert $6 .00 to cents to make both quantities be in the same unit.
$1 = 100 cents
$6.00 = 6*100 = 600 cents
\frac{600}{95} = 6.3295600=6.32 (to 2 d.p)
2. 3 hours to 35 minutes:
Convert 3 hours to 35 mins
1 hr = 60 mins
3 hrs = 3*60 = 180 mins
180mins : 35 mins = \frac{180}{35} = 5.14180mins:35mins=35180=5.14 (2 d.p)
3. 42 inches to 2 feet:
Convert 2 ft to inches
1 ft = 12 inches
2ft = 2*12 = 24 inches
42 in:24 in = \frac{42}{24} = 1.7542in:24in=2442=1.75
Answer: -4/15
Step-by-step explanation: To add these two fractions together,
we start by finding their <em>Least Common Denominator</em> (LCD).
Since our denominators of 5 and 3 have no factors in common,
our least common denominator is 5 · 3 or 15.
In order to get a denominator of 15 in each fraction,
we multiply top and bottom of the first fraction by 3
and top and bottom of the second fraction by 5.
That gives us -9/15 + 5/15 which simplifies to -4/15.
As your last step, make sure that the fraction
that you end up with doesn't reduce.
In this case, -4/15 does not reduce but watch out for this last step.
Answer:
The area of the circle is 28662 M².
Step-by-step explanation:
Given:
Circumference of circle = 600 M.
Now, to find the area of the circle.
So, <em>to get the area we need to find the radius.</em>
By putting the formula of circumference we get the radius:
Let the radius be r.
Circumference = 2πr
(taking the value of π = 3.14.)

Dividing both sides by 6.28 we get:

Now, <em>for getting the area we put the formula:</em>
Area = πr²



So, <u><em>approximately the area of the circle = 28662 M²</em></u>.
Therefore, the area of the circle is 28662 M².
Answer:
B) 1153000
Step-by-step explanation:
Given
See attachment
Required
Number of households without computer in 2009
From the attachment, we have:
--- survey
--- proportion without computer
So, the actual number is:




<em>Hence: (B) is correct</em>
Answer:
(x + 7)^2 = 64
Step-by-step explanation:
x^2 + 23x – 19 = 9x - 4
x^2 + 23x - 9x = -4 + 19
x^2 + 14x = 15 = 0
Completing the square:
(x + 14/2)^2 - (14/2)^2 = 15
(x + 7)^2 - 49 = 15
(x + 7)^2 = 64