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SSSSS [86.1K]
3 years ago
13

Two-fifths of one less than a number is less than three-fifths of one more than that number. What numbers are in the solution se

t
of this problem?
x<-5
x>-5
x>-1
x<-l
Mathematics
2 answers:
balandron [24]3 years ago
8 0

Answer:

x > -5

Step-by-step explanation:

2/5 (x − 1) < 3/5 (x + 1)

Multiply both sides by 5:

2 (x − 1) < 3 (x + 1)

Distribute:

2x − 2 < 3x + 3

Subtract 2x and 3 from both sides:

-5 < x

Therefore, x > -5.

aev [14]3 years ago
5 0

Answer:

x > -5.

Step-by-step explanation:

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On a math test a​ student, Sarah​, has to identify all the coefficients and constants of the expression 8m+2+n. Sarah says that
Shalnov [3]

Answer:

Coefficients: 8

Constants: 2

Variables: m and n

Step-by-step explanation:

Sarah had made no errors-

A number on its own is called a Constant.

A coefficient is a number used to multiply a variable.

6 0
2 years ago
Read 2 more answers
Given the sequence 7, 12, 17, 22, ...
abruzzese [7]

Answer:

option D is true.

Step-by-step explanation:

Given the sequence

7, 12, 17, 22, ...

An arithmetic sequence has a constant difference 'd' and is defined by

a_n=a_1+\left(n-1\right)d

Computing the differences of all the adjacent terms

12-7=5,\:\quad \:17-12=5,\:\quad \:22-17=5

The difference between all the adjacent terms is the same

so

d=5

as

a_1=7

Thus, the nth term of the arithmetic sequence will be:

a_n=5\left(n-1\right)+7

a_n=5n+2

Therefore, option D is true.

7 0
3 years ago
Find the equation of the line that passes through the given points
uranmaximum [27]
First you need to figure out the slope:
y2-y1/x2-x1=(1+5)/(-5-7)=-1/2

y+5=-1/2(x-7)
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6 0
3 years ago
Need help fast.
Lisa [10]

w represents width

4w represents length

d represents diagonal

w2 + (4w)2 = d2

w2 + 16w2 = d2

17w2 = d2

±w√17 = d

 

The diagonal is the width times √17.

4 0
2 years ago
Tan's electricity bill for the month of August was $267.00. His September bill showed a 2% increase from his August bill. In Oct
vovikov84 [41]
267 x 0.02 = 5.34
267 + 5.34 = 272.34

267 x 0.08 = 21.36
267 - 21.36 = 245.64


267 + 272.34 + 245.64 = $784.98
7 0
3 years ago
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