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belka [17]
3 years ago
14

Pls help pls help me Compare the following 2/-3, -4/5, 21/-32, -15/24

Mathematics
1 answer:
mote1985 [20]3 years ago
3 0

Step-by-step explanation:

to compare them, we should all bring to the same denominator.

the lcm (lowest common multiplier) is the that denominator.

let's use the approach of the prime factors :

3 : 3

5 : 5

32 : 2×2×2×2×2

24 : 2×2×2×3

the lcm is the combination of the longest "streaks" of the prime factors.

so,

2×2×2×2×2 × 3 × 5 = 32×15 = 480

2/-3 = -2/3 = -320/480 (as 3×160 = 480)

-4/5 = -4×96 / 5×96 = -384/480 (as 5×96 = 480)

21/-32 = -21/32 = -315/480 (as 32×15 = 480)

-15/24 = -15×20 / 24×20 = -300/480 (24×20 = 480)

as

-384/480 < -320/480 < -315/480 < -300/480

we can say

-4/5 < -2/3 < -21/32 < -15/24

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A cleaning company charges a fixed amount for a house call and a second amount for each room it cleans. The total cost to clean
yanalaym [24]

Answer:

$110

Step-by-step explanation:

Let the fixed amount charged be f and the amount charged to clean a room be r.

To clean six rooms , the company would charge the following, the fixed amount for the call plus the amount charged per room multiplied by 6 which of course is 6r.

Writing this in equation form,

f + 6r = 250

In likewise manner, same applies for 8 rooms.

this gives f + 8r = 320

We now have 2 equations that we will need to solve simultaneously

f + 6r = 250........(i)

f + 8r = 320........(ii)

We subtract equation ii from I to yield

2r = 70, hence r = 70/2 = 35.

We now substitute this in equation 1

f + 6(35) = 250

f + 210 = 250

f = 250 - 210 = 40

Hence, we now know that the amount charged per call is $40 while the amount charged to clean a room is $35.

We now calculate the amount charged by the company to clean 2 rooms.

This is mathematically = f + 2r

40 + 2(35) = $110.

6 0
3 years ago
There are 8 sophomores on the academic team. At the last competition, they each took the math test. Their scores were 82%, 92%,
castortr0y [4]

Median would be 80.75 or 79


8 0
3 years ago
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What is -2 1/2 ÷ 6?
LenKa [72]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
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Not prime number in 12n- 5
Alona [7]

Answer:

55

Step-by-step explanation:

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5 0
3 years ago
What is 3(exponent 2) multiplied by 3(exponent 3) ????
rusak2 [61]

                                                   \huge\boxed{243}

___________________________________________________________

                                             \boxed{Explanation}

So, we have the following equation...

3^2*3^3=(?)

Remember 3^2 and 3^3 is the following...

3^2=3*3\\3^3=3*3*3

Therefore, 3*3=9\\3*3*3=27\\9*27=243

So, your final answer is \boxed{243}.

___________________________________________________________

<em>Glad to help!</em>

\huge\boxed{Thanks,\;Plip.}

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