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Sonbull [250]
3 years ago
12

4/x-7=7/x+6 What is x

Mathematics
1 answer:
marissa [1.9K]3 years ago
6 0

Answer:

21

Step-by-step explanation:

4x + 24 = 7x - 49  \\ then \: collect \: the \: same \: variable \\ 4x - 7x =  - 49 - 24 \\ x =  - 63 \div  - 3 = 21

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Sam has 100 feet of fencing. Does he have enough fencing to enclose a circular region whose area is 630 square feet? Show work!
slavikrds [6]
A=pi(radius^2)
630/3.14=200.64
radius=14.16 feet
C=2(pi)(radius)
=3.14(2)(14.16)
=6.28(14.16)
C=88.92
88.92<100
Yes! He has enough fencing to enclose the circular area.
6 0
3 years ago
Is 8.99 a rational number
Viefleur [7K]
No it is undefined when the number reaches to zero.
5 0
3 years ago
Which values of k are solutions to the inequality StartAbsoluteValue negative k minus 2 EndAbsoluteValue less-than 18? Check all
Stella [2.4K]

Answer:

You could just replace all the given possible values of k in the inequality and see which ones are solutions, but let's solve this in a more interesting way:

First, remember how the absolute value works:

IxI = x if x ≥ 0

IxI = -x if x ≤ 0

Then if we have something like:

IxI < B

We can rewrite this as

-B < x < B

Now let's answer the question, here we have the inequality:

I-k -2I < 18

Then we can rewrite this as:

-18 < (-k - 2) < 18

Now let's isolate k:

first, we can add 2 in the 3 parts of the inequality:

-18 + 2 < -k - 2 + 2 < 18 + 2

-16 < -k < 20

Now we can multiply all sides by -1, remember that this also changes the direction of the signs, then:

-1*-16 > -1*-k > -1*20

16 > k > -20

Then k can be any value between these two limits.

So the correct options (from the given ones) are:

k = -16

k = -8

k = 0

6 0
3 years ago
Read 2 more answers
Simplify 4x5p:)<br> thanks whoever answers receives points
bazaltina [42]

Answer:

20xp

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Describe the relationship between the terms in each arithmetic sequence. Then
shtirl [24]

Answer:

(a) The sum of the previous term and 9

(b) 36, 45, 54

Step-by-step explanation:

Given

Sequence: Arithmetic Progression

0,9,18,27

Solving (a): Describe the relationship in each term

First, we calculate the common difference (d)

In arithmetic progression:

d = T_n - T_{n-1}

Take n as 2

d = T_2 - T_{2-1}

d = T_2 - T_{1}

Where

T_2 = 9\ and\ T_1 = 0

d =9-0

d =9

<em>The relationship is: The sum of the previous term and 9</em>

Solving (b): The next three terms

As said in (a) each term is derived from a sum of 9 and the previous term

So, we have:

Next\ Term = 27 + 9 = 36

Next = 36 + 9 = 45

Next = 45 + 9 = 54

Hence, the next three terms are: 36, 45 and 54

4 0
3 years ago
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