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Juli2301 [7.4K]
3 years ago
9

Will give brainliest answer!

Mathematics
1 answer:
kifflom [539]3 years ago
8 0
5x + 60y = 35

x +y = 1.5 : rewrite as x = 1.5-y   and substitute this formula for x in the first one:

5(1.5-y) + 60y = 35

distribute:

7.5 - 5y + 60y = 35

combine like terms:

7.5 + 55y = 35

subtract 7.5 from both sides:

55y = 27.5

divide both sides by 55 to solve for  y

y = 27.5 / 55 = 0.5

now substiute 0.5 for y in the 2nd equation:

x + 0.5 = 1.5

x = 1.5 - 0.5 = 1

 he walked for 1 hour


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2(x-1) ≥ 10 or 3-4x &gt; 15<br> Solve the compound inequality, and show work!
Veseljchak [2.6K]

Answer:

x\geq 6\text{ or } x

Step-by-step explanation:

We have the compound inequality:

2(x-1)\geq10\text{ or } 3-4x>15

Let's solve each of them individually first:

We have:

2(x-1)\geq10

Divide both sides by 2:

x-1\geq5

Add 1 to both sides:

x\geq6

We have:

3-4x>15

Subtract from both sides:

-4x>12

Divide both sides by -4:  

x

Hence, our solution set is:

x\geq 6\text{ or } x

5 0
3 years ago
Read 2 more answers
A chemist is using 362 milliliters of a solution of acid and water. If 12.1% of the solution is acid, how many milliliters of ac
PSYCHO15rus [73]

Answer:

The answer to your question is 43.8 mL of acid.

Step-by-step explanation:

Data

Total volume = 362 ml

12.1 % is acid

The Volume of acid = ?

Process

1.- Use the rule of three and cross multiplication to solve this problem.

               362 ml ------------------- 100%

                    x       -------------------  12.1 %

                    x = (12.1 x 362) / 100

                    x = 4380.2 / 100

                    x = 43.802 ml

2.- Round your answer to the nearest tenth.

                        43.802   only consider the first decimal

                        43.8 mL

3.- Conclusion

    A 12.1% solution of acid has 43.8 mL of acid.

6 0
3 years ago
Read 2 more answers
Please give answer of 6 number​
Irina18 [472]

Answer:

7,500

Step-by-step explanation:

Let's solve this problem step-by-step. The library had 1,500 books in 2011. The ratio of books in 2011 and in 2012 is 1:2. Therefore, let the number of books in 2012 be x.

We have the following proportion:

\frac{1}{1,500}=\frac{2}{x},\\x=2\cdot 1,500=3,000

Therefore, there were 3,000 books in 2012. The ratio of books in 2012 and in 2013 is 2:5. Let the number of books in 2013 be y.

We have:

\frac{2}{3,000}=\frac{5}{y},\\2y=5\cdot 3,000,\\2y=15,000\\y=\boxed{7,500}

Therefore, there were 7,500 books in 2013.

8 0
3 years ago
Read 2 more answers
Is 6/5 closer to 1/2
Alecsey [184]

\frac{6}{5} =\quad 1.2

\frac{1}{2}= \quad 0.5

1.2 > 0.5

\frac{6}{5} > \frac{1}{2}

<h3><em>Hope I helped you!</em></h3><h3><em>Success!</em></h3>
5 0
3 years ago
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Special right triangles
Korolek [52]

Answer:

see down

Step-by-step explanation:

cos 60 = \frac{x}{6\sqrt{3} } \\x = 6\sqrt{3}  *  cos60\\x = 6\sqrt{3} * \frac{1}{2}  \\x = 3\sqrt{3}

5 0
3 years ago
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