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Volgvan
3 years ago
15

Solve the inequality. 3x + 7 > 4x + 2

Mathematics
2 answers:
ankoles [38]3 years ago
7 0
5>x because you can subtract 5 from both sides and 3x from both sides

Nutka1998 [239]3 years ago
5 0
By solving this kind inequality, we would then have to find what does (x) equal, and then from here, we would determine which would be greater.

rearrange: \\      3*x+7-(4*x+2)\ \textgreater \ 0 \\ \\  Multiply \ both \ sides \ by \ (-1) \\ \\

Then after, we add both sides by 5.

 3x + 7= 3*5+7=22

4x + 2=4*5+2=22

<span>3x + 7 (x) 4x + 2</span>
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The ratio of Sam's age to Hank's age is 5 to 3. If the sum of their ages is 24, how old is Hank? A. 21
Maru [420]

Answer:

Hank = 9

Step-by-step explanation:

Let Sam = S

Let Hank = H

S + H = 24

S/H = 5/3     Cross multiply

3S = 5H

S = 5/3 * H

S + H = 24

(5/3)*H + H = 24

(5/3)*H + 3/3*H = 24

8/3 * H = 24  

8/3 * 3/8 * H = 3/8 * 24

H = 9

5 0
4 years ago
Simplify the sum 4/m+9+5/m^2-81
Y_Kistochka [10]
   4/(m+9)+5/(m^2-81)= 
  4/ ( m+9) +5 / ( m-9)(m+9)=
4(m-9)/(m+9)(m-9)+ 5 / (m+9)(m-9)=
(4m-36+5)/(m+9)(m-9)=
4m-31/ (m+9)(m-9)

the answer is D
7 0
3 years ago
Read 2 more answers
A waiting room is 2/3 full when 36 people are seated. How many people are in the waiting room when it is 1/2 full?
Ahat [919]
When 36 people are seated the room is 2/3 full.
So for 1/3 , 18 people are needed
It will be 3/3 full if 54 people are present

So there can be 54 people in total

Now for the room to be 1/2 full , people will be 1/2 x 54 = 27 people
6 0
3 years ago
Find u in terms of m,g and v in this equation E = m/2g(v²-u²)<br>​
igor_vitrenko [27]

Step-by-step explanation:

E = m/2g(v²-u²)

2g×E = 2g×m/2g(v²-u²)

2Eg = m(v²-u²)

2Eg = mv² - mu²

mu²= mv² -2Eg

mu²/m = mv² -2Eg /m

u²= v² -2Eg

u = √v²-√2Eg

3 0
3 years ago
There is a theory that children wearing superhero costumes are more likely to harm themselves because of the unrealistic impress
____ [38]

Answer:

Mean = 47

n = 6

s= 16.56

\sqrt n = 2.45

SEM = 11.55

Step-by-step explanation:

Given: The above data

Solving (a): Mean of each group

Mean is calculated as:

Mean = \frac{\sum x}{N}

Mean = \frac{55 + 31 + 58 + 20 + 47 + 37+68 + 32 + 85 + 69 +58 + 52+26 + 47 + 30  +35 + 53 + 43}{18}

Mean = \frac{846}{18}

Mean = 47

Solving (b): The sample size of each group

This is the number of rows in each group.

Hence:

n = 6

Solving (c): Standard deviation (s)

This is calculated as:

s = \sqrt{\frac{\sum (x - \bar x)^2}{N}}

So, we have:

s= \sqrt{\frac{(55 - 47)^2 + (31  - 47)^2 +......... + (43 - 47)^2}{18}}

s= \sqrt{\frac{4936}{18}}

s= \sqrt{274.22}

s= 16.56

Solving (d): Square root of n

\sqrt n = \sqrt 6

\sqrt n = 2.45

Solving (e): SEM

This is calculated as:

SEM = \frac{s}{\sqrt N}

SEM = \frac{47}{\sqrt{16.56}}

SEM = \frac{47}{4.07}

SEM = 11.55

5 0
3 years ago
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