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Dvinal [7]
3 years ago
12

You need to mix a solution that is 70% anti-freeze with one that is 30% anti-freeze to obtain 20 L of a mixture that 60% anti-fr

eeze. How many liters of each of the solutions must be used?
Mathematics
1 answer:
RoseWind [281]3 years ago
6 0

solutionwith 70% anti freeze=14l

solution with 30% anti freeze=5l

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3 years ago
If 2k, 5k-1 and 6k+2 are the first 3 terms of an arithmetic sequence, find k and the 8th term​
Klio2033 [76]

Answer:

see explanation

Step-by-step explanation:

The common difference d of an arithmetic sequence is

d = a_{2} - a_{1} = a_{3} - a_{2}

Substitute in values and solve for k, that is

5k - 1 - 2k = 6k + 2 - (5k - 1)

3k - 1 = 6k + 2 - 5k + 1

3k - 1 = k + 3 ( subtract k from both sides )

2k - 1 = 3 ( add 1 to both sides )

2k = 4 ⇒ k = 2

--------------------------------------------------------

The n th term of an arithmetic sequence is

a_{n} = a_{1} + (n - 1)d

a_{1} = 2k = 2 × 2 = 4 and

d = 5k - 1 - 2k = 3k - 1 = (3 × 2) - 1 = 5

Hence

a_{8} = 4 + (7 × 5) = 4 + 35 = 39

4 0
3 years ago
Please help!!! keep in mind this is a REVIEW question. Which of the following is NOT a congruence transformation? A. a dilation
Lady_Fox [76]

Answer:

Hey there!

A congruence transformation maintains the size of the shape.

Thus, a dilation with scale factor 2 is not a congruence transformation.

Let me know if this helps :)

4 0
3 years ago
Find the circumference pls help.
Triss [41]
Equation for circumference is c = 2(pi)r

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d = 20

So…. r = 1/2(20) = 20/2 = 10

Going back to circumference equation

c = 2(pi)(10) = 2(3.14)(10) = 62.8
6 0
2 years ago
Read 2 more answers
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