Answer:
-2(9x-8)
Step-by-step explanation:
We are to simplify the expression -3.1x+7-7.4x-1.5x-6(x-3/2)
Open the parenthesis
-3.1x+7-7.4x-1.5x-6(x-3/2)
= -3.1x+7-7.4x-1.5x-6x+6(3/2)
= -3.1x+7-7.4x-1.5x-6x+9
Collect like terms
= -3.1x-7.4x-1.5x-6x+7+9
= -12x-6x+16
= -18x+16
= -2(9x-8)
Hence the simplified form of the expression is -2(9x-8)
If it's refilled with 8 litres of mango juice, the resulting mixture will be 8 parts mango and 48 parts pine, or 1 part mango, 6 parts pine. (AKA, roughly 16.67% mango juice).
Now, if they take out 8 litres from that mixture, that 8 litres will also be 1 part mango and 6 parts pine, leaving you with 48 litres of 1 part mango, 6 parts pine.
Hang on, because it gets tricky from here. We're going to use a formula here:
<---- where there are q[1] litres of p[1] % that we start with, and we add q[2] litres of p[2] % mix, and so we'll end up with a mixture that is (q[1] + q[2]) liters big that will have a different percent mixture p[3] from what we started.
We started with 48 liters that is 16.67% mango. So <---- change the percent to a decimal.
We're going to add 8 liters of pure mango juice, so <--- The 100% mango juice is the 1 in decimal.
As total mix, we'll have litres which is 48 + 8 = 56, BUT the percentage mango of the new mixture will surely be different.
So our equation so far is: . All we have to do is solve for .
<---- simplified
<--- roughly 28.57% mango juice or mango juice. Since mango is 2/7 of the mixture, the other 5/7 is pine. The problem asked for the ratio between mango to pine, and that would be the 2:5.
There wasn't no pictures nor choices so I'm afraid that I had to look it up... The first link was from Brainly and "Tetianaalnasraween05" was asking the same question.
Original Figure: 6 and 3
'Similar' Figure(s):
1.) 4 and 2
2.) 10 and 4
3.) 6 and 6
Ratio of sides are 3/2 and 6/4, 6/4 could be simplified as 3/2, so as my guess, it is, 4 and 2
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I hope this helps, as always. I wish you the best of luck and have a nice day, friend..
Answer:
45 miles per hour
Step-by-step explanation:
if an ostrich can run with its maximun speed for five hours, it means it would be running 45 miles per hour for five hours, giving it the maximun miles of 225 over 5 hours