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ICE Princess25 [194]
3 years ago
9

Which number line shows the solution set to this inequality? -2x + 9 < x − 9

Mathematics
1 answer:
kotykmax [81]3 years ago
5 0

Answer:

see below

Step-by-step explanation:

-2x + 9 < x − 9

Add 2x to each side

2x-2x + 9 < 2x+x − 9

9 < 3x-9

Add 9 to each side

9+9 < 3x

18 < 3x

Divide each side  by 3

18/3 < 3x/3

6 < x

Open circle  at 6 line going to the right

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Tom opens a bank account and makes an initial deposit of $500. The banker tells Tom that he is going to revive an annual rate of
daser333 [38]

So for this you will be using an exponential equation, which is y=ab^x with a=initial value, b=growth/decay, y = total balance, and x = # of years


In this case, a = 500, and since with this problem the initial value is growing, you will add 100% to 6% to get 106%, or 1.06. The equation will be formed as such: y=500(1.06)^x


With this problem, just plug in 15 into x and solve for y: y=500(1.06)^{15}\\ y=1198.28


In short, after 15 years Tom will have $1198.28 in his account.

5 0
3 years ago
Read 2 more answers
For the first 30 km, the bicyclist rode with a speed of v km/hour. For the remaining 17 km he rode with a speed which was 2 km/h
damaskus [11]

Answer:

t= 2.52 hours

Step-by-step explanation:

It is given that for first 30 km, the speed of bicyclist is v km/hour

time taken to cover first 30 km is given by

t_{1} =\frac{30}{v}           ( time=\frac{distance}{speed})

for next 17 km the speed of bicyclist is 2 km/hour greater than his original speed

so the speed to cover next 17 km = v+2

time taken to cover next 17 km is given by

t_{2} =\frac{17}{v+2}

now total time t spent by the bicyclist to cover entire trip is given by

t=t_{1} +t_{2}

t=\frac{30}{v} +\frac{17}{v+2}

now if v=18 , we have

t=\frac{30}{18} +\frac{17}{20}

now to add fractions we make the denominator same

Hence we will find the LCM of 18 and 20

LCM of 18 and 20 = 180

now we need to make both the denominator equal to 180

t=\frac{30(10)}{18(10)} +\frac{17(9)}{20(9)}t=\frac{300}{180} +\frac{153}{180} =\frac{300+153}{180}

t=\frac{453}{180} =2.52 hours (approx)

7 0
3 years ago
Which one of the following reasons does NOT explain why 4x+5y≠9xy?
viva [34]
<h3>The terms 4x and 5y has different variable present in it. 4x + 5y \neq 9xy</h3>

<em><u>Solution:</u></em>

Given that,

4x + 5y \neq 9xy

<em><u>The reason is:</u></em>

When we are adding terms which has exactly the same variables, we must add the constants and let the result stand with variable

Which means,

4x + 10x = 14x

But,

We cannot add terms that has different variable

Which means,

4x + 5y

Here, both the terms 4x and 5y has different variable present in it. Hence they cannot be added together

4x+5y\neq 9xy

6 0
3 years ago
FREE BRAINLIEST!! ill also answer questions that you have posted if you answer correctly!!!! (42pts)
Elza [17]

<em>Answer:</em>

∠WVR = 156

<em>Step-by-step explanation:</em>

Angles in a triangle add up to 180

∴ ∠SRT + RST + RTS = 180

∴ ∠SRT + 109 + 47 = 180

∠SRT = 24

Alternate Angle Theorem

∠SRT = 180 - ∠WVR

24 = 180 - ∠WVR

24 - 180 = - ∠WVR

-156 = - ∠WVR

∠WVR = 156

Have a beautiful day.

8 0
3 years ago
If prices increase at a monthly rate of 3.4​%, by what percentage do they increase in a​ year?
crimeas [40]
40.8%  I hope this helps!
7 0
3 years ago
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