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Vesna [10]
3 years ago
8

Given: 3x < -6.

Mathematics
1 answer:
Natalka [10]3 years ago
7 0
3x\ \textless \ -6 :

Divide both sides by 3 :

\frac{3x}{3} = \frac{-6}{3}

x\ \textless \ -2

Answer A

<span>{x | x < -2}
</span>
hope this helps!

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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
A gardener works for 13 hours during a week and charges $169 how much does the gardener charge for each hour?​
bonufazy [111]

Answer:

You have to divide to unit price, 169/13 is equal to 13!

Step-by-step explanation:

7 0
2 years ago
Write an expression for the 12th partial sum of the series 3/2+7/3+19/6+... using summation notation
lapo4ka [179]

Answer:

S_{12}=\sum_{i=1}^{12} [\frac{3}{2}+(i-1)\times \frac{5}{6}]

S_{12}=73

Step-by-step explanation:

First\ term\ of\ the\ series(a_1)=\frac{3}{2}\\\\Second\ term\ of\ the\ series(a_2)=\frac{7}{3}\\\\Third\ term\ of\ the\ series(a_3)=\frac{19}{6}\\\\a_2-a_1=\frac{7}{3}-\frac{3}{2}=\frac{5}{6}\\\\a_3-a_2=\frac{19}{6}-\frac{7}{3}=\frac{5}{6}\\\\Hence\ it\ is\ an\ Arithmetic\ Series\ with\ first\ term=\frac{3}{2}\ and\ constant\ difference=\frac{5}{6}

a_1=\frac{3}{2}+0\times \frac{5}{6}\\\\a_2=\frac{3}{2}+1\times \frac{5}{6}\\\\a_3=\frac{3}{2}+2\times \frac{5}{6}\\\\.\\.\\.\\a_n=\frac{3}{2}+(n-1)\times \frac{5}{6}\\\\S_n=a_1+a_2+a_3+......+a_n\\\\S_n=(\frac{3}{2}+0\times \frac{5}{6})+(\frac{3}{2}+1\times \frac{5}{6})+(\frac{3}{2}+2\times \frac{5}{6})+....+(\frac{3}{2}+[n-1]\times \frac{5}{6})\\\\S_n=\sum_{i=1}^n [\frac{3}{2}+(i-1)\times \frac{5}{6}]\\\\S_n=(\frac{3}{2}+\frac{3}{2}+\frac{3}{2}+...n\ times)+\frac{5}{6}(1+2+3+4+...+(n-1))\\\\

S_n=\frac{3}{2}\times n+\frac{5}{6}\times \frac{n(n-1)}{2}\\\\

S_{12}=\sum_{i=1}^{12} [\frac{3}{2}+(i-1)\times \frac{5}{6}]

S_{12}=\frac{3}{2}\times 12+\frac{5}{6}\times \frac{(12)(12-1)}{2}\\\\S_{12}=18+55\\\\S_{12}=73

5 0
3 years ago
Sarah made a necklace using 5 times as many blue beads as white beads. She used a total of 30 beads. How many blue beads did Sar
iogann1982 [59]

Let

x-------> the numbers of blue beads

y-------> the numbers of white beads

we know that

x+y=30 --------> equation 1

x=5y --------> equation 2

Substitute equation 2 in equation 1

(5y)+y=30\\ 6y=30\\ y=30/6\\ y=5

Find the value of x

x+y=30\\ x+5=30\\ x=30-5\\ x=25

therefore

the answer is

the numbers of blue beads is 25

7 0
3 years ago
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Find area of triangle. Picture included.
meriva

Answer:

5040

your welcome

7 0
2 years ago
Read 2 more answers
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