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vagabundo [1.1K]
3 years ago
6

What is the solution to the inequality -6( p - 8) < -12?

Mathematics
2 answers:
Setler [38]3 years ago
6 0

Answer:

p>10

Step-by-step explanation:

\left(-6\left(p-8\right)\right)\left(-1\right)>\left(-12\right)\left(-1\right)

6\left(p-8\right)>12

\frac{6\left(p-8\right)}{6}>\frac{12}{6}

p-8>2

p-8+8>2+8

p>10

coldgirl [10]3 years ago
3 0

Answer:

p > 10

Step-by-step explanation:

Given

- 6(p - 8) < - 12

Divide both sides by - 6, reversing the symbol as a result of dividing by a negative quantity.

p - 8 > 2 ( add 8 to both sides )

p > 10

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What two numbers equal 9 and multiply to 16
Artemon [7]
So 3x3 is equal to 9 but i do not understand what you mean and multiply to 16
4 0
3 years ago
of all the songs on a playlist, 1/3 are rock, 1/8 are dance, and the rest are country. what fraction of all the songs on the pla
igomit [66]

Answer:

13/24

Step-by-step explanation:

First, it would be easier to find the common denominator of 1/3 and 1/8. The easiest way to do that is to do 3x8=24. This means the common denominator is 24 and so we must convert the fractions so they have this denominator.

1/3 --> 8/24

1/8 --> 3/24

Now, we can simply add these fractions together to find out the fraction of songs that are NOT country songs.

8/24 + 3/24 = 11/24 songs are not country songs.

To find out the fraction of songs that are country, simply do 1 (or 24/24) take away 11/24.

24/24 - 11/24 = 13/24 songs are country songs.

5 0
3 years ago
A person invests $2,740 in an account that earns 4.3% annual interest. Find when the value of the investment reaches $7,000. If
Juli2301 [7.4K]

So, to set up your equation is the hardest part. If you remember the basic format, you're set.

I(t) = P * (1+r%)^t

t= time and this will be our variable

Initial amount P = $2740

Rate = 4.3% which converts numerically into .043

I(t) = 7000

Before we get to find out how to find how many years it takes to get to $7000, set up the basic equation by plugging in what we know.


I(t) = $2740(1+4.3%)^t

I(t)=2740(1.043)^t

Now plug in for $7000 for I(t)

7000=2740(1.043)^t                 Divide both sides by 2740

7000/2740 = 2740/2740(1.043)^t

2.55474453=(1.043)^t

Now you can solve for t in two ways. You can either use the natural log or graph it on your graphing calculate and see when the two equations meet.

In your calculator you can set up:

ln(2.55474453)/ln(1.043) = t                 which is the method I prefer since it's much simpler

t=22.278528

but you can also graph it in your ti-84

with

y1=2.55474453

y2=(1.043)^x

and find where they intersect on the graph.

either way it'll be the same answer

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3 years ago
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