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Nikitich [7]
3 years ago
15

Which inequality is the solution to 20 + 2 < x/3 - 8?

Mathematics
2 answers:
STatiana [176]3 years ago
8 0

Answer:

ans. \\ x > 90

20 + 2 <  \frac{x}{3}  - 8 \\ 22 <  \frac{x - 24}{3}  \\

pychu [463]3 years ago
4 0

Answer:

x > 90, C

Step-by-step explanation:

20 + 2 < x / 3 - 8

x / 3 - 8 > 22

x / 3 > 30

x > 90

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What is the arithmetic mean for the following numbers,88,80,75,70,38,45,70,60,60,50​
Natalija [7]

Answer:

63.6

Step-by-step explanation:

X=£fx/n

= 88+80+75+70+38+45+70+60+60+50/10

= 636/10

= 63.6

Mark me as Brainliest.

Please feel free to ask if you have any questions.

Thanks

5 0
2 years ago
Megan drove from her house to work at an average speed of 45 miles per hour. The drive took her
Dominik [7]

Answer:

30 mph

Step-by-step explanation:

The average speed = Total distance / Total Time

Distance at 45 m/hr.

t = 20 minutes = 20/60 = 1/3 hour.

r = rate = 45 miles / hour

d = r * t

d = 45 * 1/3 = 15 miles.

Average Speed going home.

t =  30 minutes

t = 30 min / 60 min // hour = 1/2 hours

r = 15 miles / 1/2 = 15 * 2 =  30 miles / hr.

8 0
3 years ago
Help please! This is timed! 50 points
kiruha [24]

Answer:

24.96%

Step-by-step explanation:

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7 0
3 years ago
Read 2 more answers
Simplify the expression state any excluded values<br> 2a^2-4a+2<br> ---------------<br> 3a^2-3
chubhunter [2.5K]

Answer:

The simplified form is \dfrac{2(x-1)}{3(x+1)}.

x =1 is the excluded value for the given expression.

Step-by-step explanation:

Given:

The expression given is:

\dfrac{2a^2-4a+2}{3a^2-3}

Let us simplify the numerator and denominator separately.

The numerator is given as 2a^2-4a+2

2 is a common factor in all the three terms. So, we factor it out. This gives,

=2(a^2-2a+1)

Now, a^2-2a+1=(a-1)(a-1)

Therefore, the numerator becomes 2(a-1)(a-1)

The denominator is given as: 3a^2-3

Factoring out 3, we get

3(a^2-1)

Now, a^2-1 is of the form a^2-b^2=(a-b)(a+b)

So, a^2-1=(a-1)(a+1)

Therefore, the denominator becomes 3(a-1)(a+1)

Now, the given expression is simplified to:

\frac{2a^2-4a+2}{3a^2-3}=\frac{2(x-1)(x-1)}{3(x-1)(x+1)}

There is (x-1) in the numerator and denominator. We can cancel them only if x\ne1 as for x=1, the given expression is undefined.

Now, cancelling the like terms considering x\ne1, we get:

\dfrac{2a^2-4a+2}{3a^2-3}=\dfrac{2(x-1)}{3(x+1)}

Therefore, the simplified form is \dfrac{2(x-1)}{3(x+1)}

The simplification is true only if  x\ne1. So, x =1 is the excluded value for the given expression.

8 0
3 years ago
Find the value of x.
konstantin123 [22]

Answer:

x= 37.5°

Step-by-step explanation:

∠CBD

= 180° -75° (adj. ∠s on a str. line)

= 105°

∠BCD= ∠BDC (base ∠s of isos. △BCD)

∠BCD= x

∠BCD +∠BDC +∠CBD= 180° (∠ sum of △BCD)

x +x +105°= 180°

2x= 180° -105°

2x= 75°

x= 37.5°

<u>Alternative</u><u> </u><u>working</u><u>:</u>

∠BDA= (180° -75°) ÷2 (base ∠s of isos. △ABD)

∠BDA= 52.5°

∠BDA +∠BDC= 90°

52.5° +x= 90°

x= 90° -52.5°

x= 37.5°

6 0
3 years ago
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