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Ber [7]
3 years ago
9

HELP?! PLEASE?! DUE! EXTRA POINTS! How many gallons of a 70% antifreeze solution must be mixed with 70 gallons of 10% antifreeze

to get a mixture that is 60% antifreeze? Use the six-step method! BRAINLIEST ANSWER INCLUDED
Mathematics
1 answer:
AfilCa [17]3 years ago
3 0
Ok, let’s take it step by step.
Let x = number of gallons of 70% solution
100 = number of gallons of 25% solution
Then x + 100 = number of gallons of a 60% solution.

0.70x + 0.25(100) = 0.60(x + 100)

0.70x + 25 = 0.60x + 60

0.10x = 35

x = 350 gal

So, you can mix 350 gal of a 70% solution with 100 gal of a 25% solution to get 450 gallons of a 60% antifreeze solution.
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Abcd is a rectangle if DB=26 and DC=24 find bc
Anettt [7]
Let's solve this problem step-by-step.

STEP-BY-STEP EXPLANATION:

Let's first establish that triangle BCD is a right-angle triangle.

Therefore, we can use Pythagoras theorem to find BC and solve this problem. Pythagoras theorem is displayed below:

a^2 + b^2 = c^2

Where c = hypotenus of right-angle triangle

Where a and c = other two sides of triangle

Now we can solve the problem by substituting the values from the problem into the Pythagoras theorem as displayed below:

Let a = BC

b = DC = 24

c = DB = 26

a^2 + b^2 = c^2

a^2 + 24^2 = 26^2

a^2 = 26^2 - 24^2

a = square root of ( 26^2 - 24^2 )

a = square root of ( 676 - 576 )

a = square root of ( 100 )

a = 10

Therefore, as a = BC, BC = 10.

If we want to check our answer, we can substitute the value of ( a ) from our answer in conjunction with the values given in the problem into the Pythagoras theorem. If the left-hand side is equivalent to the right-hand side, then the answer must be correct as displayed below:

a = BC = 10

b = DC = 24

c = DB = 26

a^2 + b^2 = c^2

10^2 + 24^2 = 26^2

100 + 576 = 676

676 = 676

FINAL ANSWER:

Therefore, BC is equivalent to 10.

Please mark as brainliest if you found this helpful! :)
Thank you and have a lovely day! <3
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