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Grace [21]
3 years ago
10

Nine and one-half less than four and one-half times a number is greater than 62.5. Which of the following represents the solutio

n set of this problem?
(16, positive infinity)
(Negative 16, positive infinity)
(Negative infinity, 16)
(Negative infinity, Negative 16)
Mathematics
2 answers:
Scrat [10]3 years ago
8 0
16, + infinity . Multiply sides by 1/9 n rages to infinity from 16.
madreJ [45]3 years ago
4 0

Answer:

{16, +infinity}

Step-by-step explanation:

Represent the number with n

Required

Find the solution set

From the question, we have that;

4½n - 9½ > 62.5

Convert all numbers to decimal

4.5n - 9.5 > 62.5

Add 9.5 to both sides

4.5n - 9.5 + 9.5 > 62.5 + 9.5

4.5n > 72

Multiply both sides by 2

2(4.5n) > 72 * 2

9n > 144

Multiply both sides by ⅑

⅑ * 9n > 144 * ⅑

n > 16

This implies that n ranges to infinity from positive 16;

Hence, the correct answer is {16, +infinity}

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SashulF [63]
Well 2/3^3 is just 2/3*2/3*2/3 which is 2/3*2/3=4/9 then 4/9*2/3=8/27

So your answer is 8/27
4 0
3 years ago
31 cars are in a race. In how many different ways can cars finish in order in the top 4 positions?
cupoosta [38]

Answer:

755,160 ways

Explanation:

We're told that 31 cars are in a race.

Considering the order in which the cars can finish in the top 4 positions, any of the 31 cars can finish in the first position, any of the remaining 30 cars can finish in the second position, any of the remaining 29 cars can finish in the third position and any of the remaining 28 cars can finish in the fourth position, so the different numbers of ways can be determined as seen below;

31\times30\times29\times28=755,160\text{ ways}

8 0
1 year ago
The quotient of the opposite of a number squared and three
Mars2501 [29]

Answer:

"The quotient of the opposite of a number squared and 3"  

Take "the opposite of a number squared" and call it y.  

So you get "The quotient of y and 3"  

This is y/3.  

Now what is y? "The opposite of a number squared"  

Take "The opposite of a number" and call it z.  

So y is "z squared"  

Replacing y, we get z^2 / 3  

But what is z? "The opposite of a number"  

Call "a number" x.  

The opposite of x is -x.  

So z is "-x"  

Replacing z, we get (-x)^2 / 3



8 0
3 years ago
Thea and Eleanor are reading the same book. The graph shows the number of words Thea reads over time. Eleanor reads 225 words pe
castortr0y [4]

The answers are:

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