All categories

3 years ago

What is the lowest common denominator of 1/12 & 1/15

1 answer:

5 0

Well lets think of the first number that can fit 12, well 60 works right?? 12 fits in 60 5 times does it work with 15, yes it does, 15 fits in 60 4 times, but is that our smallest number lets check it our lets ssubtract 12 from 60, it is 48 is there a number that multioplied by 15 that can give you 48?? NO!! lets subtract 12 more this gives u 36 can something fit? NO! lets take 12 more and get 24 does anything multiplied by 15 give you 24?? No! so our smallest number would be 60 because nothing else can work for both of this nubers

Hope this helps

You might be interested in

City planners anticipate an 8.2% population growth per year, including new residents and births. The population, in millions of

NNADVOKAT [17]

<h2>Hello!</h2>

The answer is:

The correct option is the third option,

$L(p(x))=2.425(1.082)^{x}$

From the statement we know the function that models the population growth over the years (p(x)) but we have been told that there is an estimated loss that can be modeled by the function L(p), so in order to find which function represents the final function, we need to composite the function, which is the same that evaluate p(x) into the function L(p).

We are given:

$p(x)=2.5(1.082)^{x}$

and

$L(p(x))=p(0.97)$

So, the evaluationg p(x) into L(p), we have:

$L(p(x))=p(0.97)\\\\L(p(x))=2.5(1.082)^{x}*(0.97)=0.97*2.5(1.082)^{x} \\\\L(p(x))=0.97*2.5(1.082)^{x}=2.425(1.082)^{x}\\\\L(p(x))=2.425(1.082)^{x}$

Hence, the correct option is:

The third option,

$L(p(x))=2.425(1.082)^{x}$

Have a nice day!

6 0

3 years ago

Calculating the future value of property: Ben Collins plans to buy a house for $220,000. If that real estate is expected to incr

irina1246 [14]

FUTURE VALUE = PRESENT VALUE * (1 + r)^t

PV = 220,000
r = 3%
t = 7 years

FV = 220,000 * (1 + 3%)^7
FV = 220,000 * (1.03)^7
FV = 220,000 * 1.22987386542487
FV = 270,572.25

8 0

3 years ago

Read 2 more answers

Please help me with geometry !! Been stuck a while

Nataly [62]

Answer:

area of circle having radius 3

is πr²=π*3²=9π square units

area of circle having radius 2

=πr²=π×2²=4π square units

again

area of big circle having radius [3+2]=5 units

=πr²=π×5²=25π square units

Now

area of shaded region=25π-4π-9π=12π or 37.7square units.

4 0

2 years ago

Read 2 more answers

Aline crosses the coordinates (-4,4) and (2.-5). What is the slope of the line?

lisabon 2012 [21]

Answer:

Step-by-step explanation:

Use the slope formula:

$m = \frac{y2 -y1}{x2 - x1}$

where m = slope

Given the coordinates

(-4, 4) ---> this means x1 = -4 , y1 = 4

(2, -5) ---> this means x2 = 2 , y2 = -5

Substitute these values into the slope formula:

$m = \frac{y2 -y1}{x2 - x1}$

$m = \frac{-5 -4}{2 - (-4)} = \frac{-9}{2+4} = \frac{-9}{6} = \frac{-3}{2}$

4 0

3 years ago

Solve the equation showing each inverse operation step:

valina [46]

Answer:

4 2/7 - 6/7 = 24/

= 3 3/

Step-by-step explanation:

Conversion a mixed number 4 2/

to a improper fraction: 4 2/7 = 4 2/

= 4 · 7 + 2/

= 28 + 2/

= 30/

To find a new numerator:

a) Multiply the whole number 4 by the denominator 7. Whole number 4 equally 4 * 7/

= 28/

b) Add the answer from previous step 28 to the numerator 2. New numerator is 28 + 2 = 30

c) Write a previous answer (new numerator 30) over the denominator 7.

Four and two sevenths is thirty sevenths

Subtract: 30/

- 6/

= 30 - 6/

= 24/

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(7, 7) = 7. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 7 × 7 = 49. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - thirty sevenths minus six sevenths = twenty-four sevenths.

5 0

2 years ago