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DIA [1.3K]
2 years ago
11

Solve the inequality: -3t+9 > -21 Ot < 10 Ot> -10 Ot > 10 Ot< -10

Mathematics
2 answers:
Aleksandr [31]2 years ago
7 0

Answer:

t < 10

Step-by-step explanation:

bekas [8.4K]2 years ago
3 0

Answer:

T=10 is the answer. A brainlest would be much appreciated

Step-by-step explanation:

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Convert the following improper fraction into a mixed number : 52/7
lesya692 [45]
So first we see how many times the denominator can go into the numerator which is 7 times and the remaining is 3
So to write that: 7 3/7
3 0
3 years ago
3.If the ratio of lynx to mountain lions and wolverines in the park is 2:3:1.So for every 2 lynx, there are 3 mountain lions and
Zolol [24]
A.  The ratio of lynx to mountain lions to wolverines is 2:3:1.

Thus, there are 2 lynx in the ratio.  If there were 6 lynx, we would have to multiply all of the numbers in the ratio by 3 (because 6/2 = 3) to keep the ratio in the same proportion.  

Therefore, because there is 1 wolverine in the ratio, and 1 * 3 = 3, if there were 6 lynx, there would be 3 wolverines.

b. We can use the same ideas that we had in part a to help us in part b.
There are 3 mountain lions in the ratio, but there are 15 mountain lions in the problem.  Thus, the multiplier is 5, because 15/3=5.

Therefore, because there are 2 lynx in the ratio, and 2*5 = 10, if there were 15 mountain lions, there would be 10 lynx.

c.  There is one wolverine in the ratio, but there are 10 wolverines in the problem.  Thus, the multiplier is 10, because 10/1 = 10

Therefore, because there are 3 mountain lions in the ratio, and 3 * 10 = 30, if there were 10 wolverines in the park, then there would be 30 mountain lions.

d.  The total number of lynx, mountain lions, and wolverines is 30.
To find out how many of each animal there should be, we must make an equation using the ratio and the variable x. 

2x + 3x + 1x = 30

This equation means that the total number of animals together is 30, which is true.  Now let's simplify by combining like terms.

6x = 30

Finally, we can simplify by dividing both sides by the coefficient of x, or 6.

x = 5

Thus, going back to our original equation, we know that the amount of lynx is 2x, mountain lions is 3x, and wolverines is 1x.

Lynx = 2x = 2(5) = 10 lynx
Mountain Lion = 3x = 3(5) = 15 mountain lions
Wolverines = 1x = 1(5) = 5 wolverines

Hope this helps! :)

7 0
3 years ago
The functions f and g are defined as follows f(x)=5x+3/6x+7 and g(x)= square root sign x^2-4x
telo118 [61]
<span>f(x)=5x+3/6x+7

This means that f(6/x) = [</span>5(6/x)+3] / [6(6/x)+7] = [ 30/x +3 ] / [36/x +7]

If we assume x≠0 ,    f(6/x) = [30 +3x]/ [36 + 7x]

g(x)=√<span> [ x^2-4x ]
</span>
g(x-4) = √ [ (x-4)^2-4(x-4) ] = √ [ x² -8x +16 -4x +16 ] = √ [ x^2-12x +32]
3 0
3 years ago
The current in a simple electric circuit varies inversely as the resistance. If the current is 20amps when the resistance is 5 o
IrinaVladis [17]

Answer:

0.5amps

Step-by-step explanation:

I is inversely proportional to resistance

I = k/R

k = I/ R

k = 20/5

k = 4

This means that, I = 4/R

So, when R = 8ohms,

I = 4/8

 =0.5amps

3 0
3 years ago
32
nata0808 [166]

Answer:

I believe it would be 4 seconds

Step-by-step explanation:

PLATO/Edmentum

4 0
2 years ago
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