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timurjin [86]
2 years ago
5

Which inequality represents all the solutions of 9(4x-8) < 4(6x + 9)?

Mathematics
1 answer:
oksano4ka [1.4K]2 years ago
4 0

Answer:

x < 9

Step-by-step explanation:

Our original inequality:

9(4x-8) < 4(6x+9)

Firstly, let's expand the brackets on both sides:

36x - 72 < 24x + 36

Now, we add the 72 over to isolate the x:

36x < 24x + 108

Next, we take away the 24x to isolate the x:

12x < 108

Finally, we divide both sides by 12 to convert the 12x to x:

x < 9

This means our final answer is x < 9.

You might be interested in
Angie is organising a party for 84 adults and 42 children.
makvit [3.9K]
Add up the 84 and 42 to get 126, then divide by 6 to get the number of tables which is 21. And the number of seats is 126 because you would need a seat for every person. Hope this helps.
3 0
3 years ago
A candy store held a contest to guess the total number of jelly beans in a jar. All of the jelly beans in the jar were either gr
Fudgin [204]

Answer:

Step-by-step explanation:

Let the number of orange jelly beans be x , as we do not know the exact value of it yet. There are 12 times as many green jelly beans than the orange ones. So , if the number of orange jelly beans is x , the number of green jelly beans will be = 12 times x , which can be written as 12x. Now there are a total of 1872 jelly beans , but they are either orange or green , so we already know that the number of orange jbs is x , and the number of green jelly beans is 12x. So if we the green jelly beans and orange jelly beans , it should be 1872.

Now all we need to do is to find x.

We know that ,

x + 12x = 1872

Now we add x and 12x on the left hand side

13x = 1872

Now we divide both sides by 13 to get x. (That includes 1872 as well)

x = 144

Now we have the value of x which is 144

We know that the number of green jelly beans was 12 times x

So the number of green jelly beans in numeric value is : 12 * 144

As x is equal to 144

Ans . : The number of green jelly beans is 1728.

6 0
3 years ago
mikah bought a dozen cupcakes for her friends birthday. if she paid $3.48 for the cupcakes what was the price per cupcake?
maria [59]

Answer: 0.29 or 29 cents each :)

anymore questions ask me ;)

6 0
3 years ago
Let f(x) = 3 * sqrt(x) + 7. Define g$to be the inverse of f.
aliina [53]

By using the definition of inverse functions, we will see that:

g(g(f(f(f(36))))) = f(36) = 25.

<h3>What are inverse functions?</h3>

Two functions f(x) and g(x) are inverses if:

f( g(x) ) = x

g( f(x) ) = x

Then we can rewrite:

g(g(f(f(f(36)))))

First, we can see that:

g(f(f(f(36)))) = f(f(36))

Replacing that in our expression, we get:

g(g(f(f(f36))))) = g(f(f(36)))

And the above expression is equal to f(36), to be sure of that, let's replace:

u = f(36)

Then we can rewrite:

g(f(f(36))) = g(f(u))

And by definition, the above thing is equal to u:

g(f(u)) = u = f(36).

Finally, we conclude that:

g(g(f(f(f(36))))) = f(36) = 3*√36 + 7 = 3*6 + 7 = 25

If you want to learn more about inverse functions, you can read:

brainly.com/question/12220962

4 0
2 years ago
I will give brainiest to whoever answers correctly !!
Scrat [10]

Answer:

15,894.06

Step-by-step explanation:

HI there!

This is a compound interest question, so we will use the formula

x = p(1+\frac{r}{n})^n^t

P being our principle amount, $15,000 in this case,

R being our rate, or 1.25

N being our compound rate, which is semiannually, or twice a year.

T is our time, being 3.

After plugging these values in, we get

15,894.06

I hope this helps!

7 0
3 years ago
Read 2 more answers
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