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aliina [53]
3 years ago
6

What is the product of − 3/11 and − 2/15? please explain.

Mathematics
1 answer:
emmainna [20.7K]3 years ago
4 0

ANSWER

The product is

\frac{2}{55}

EXPLANATION

To find the product of

-  \frac{3}{11}

and

\frac{ - 2}{15}

means we should multiply the two fractions.

We multiply to obtain,

-  \frac{3}{11}  \times  -  \frac{2}{15}

=  -  \frac{3}{11}  \times  -  \frac{2}{3 \times 5}

Cancel the common factors:

=  -  \frac{1}{11}  \times  -  \frac{2}{5}

Now, multiply the numerators separately and the denominators too separately.

=  \frac{ - 1 \times  - 2}{11 \times 5}

This simplifies to,

= \frac{2}{55}

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One person can do a certain job in 15 minutes and another person can do the same job in 30 minutes. How many minutes will it tak
Flauer [41]

Hello! Your answer is B, 10 minutes.

Say the x = minutes taken to do the job. You can set up an equation like this to solve this.

\frac{1}{15} x + \frac{1}{30} x = 1

This is representative of the situation. The fractions each represent <u>how much each person does in a minute</u>, and when they're multiplied by x, that's <u>how much of the project they get done</u> based off of the minutes they work together on the job. Add the two together, and you get <u>how much of the project is finished in x amount of time</u>. Set it equal to 1, as you are looking for 100% completion.

Once you have this equation, find a common denominator, add, and solve.

\frac{1}{15} x + \frac{1}{30} x = 1

\frac{2}{30} x + \frac{1}{30} x = 1

\frac{3}{30}x = 1

\frac{1}{10}x = 1

x = 10

Therefore, it will take them 10 minutes to do the job together.

Hope this helps!

8 0
3 years ago
Use the expression in the accompanying discussion of sample size to find the size of each sample if you want to estimate the dif
rodikova [14]

Answer:

60men 40 women.... but I ain't sure

4 0
3 years ago
What is the volume of a cone that has a radius of 12 m and a height of 3 m?
vfiekz [6]
452.16 m^3
1/3 = 0.333333333
0.333333333 * 3.14 = 1.046666667
1.046666667 * 144 =150.72
150.72 * 3 = 452.16
5 0
3 years ago
Find the value of x and y
Natalija [7]

Hello and Good Morning/Afternoon:

<u>Let's take this problem step-by-step</u>:

<u>What does the information want:</u>

  • value of x
  • value of y

<u>Let's gather some information</u>:

  • ΔA'BC' and ΔABC are similar triangles

             ⇒ Angle B is shared by both triangles

             ⇒ Angle A' and A are the same, as they are both on parallel

                   lines, A'C' and AC, and both angles are formed with the

                   same line AB

                 ⇒ by the <em>Angle-Angle Theorem*</em>, they are similar triangles

<u>If they are similar triangles</u>:

   ⇒ their side lengths are proportional to each other

  • let's find x's value

          ⇒ let's set up a proportion

                 \frac{A'B}{AB} =\frac{A'C'}{AC} \\\frac{30}{x+30} =\frac{14}{22} \\14(x+30) = 30*22\\14x + 420 = 660\\14x = 240\\x = 17.143

  • let's find y's value

          ⇒ let's set up a proportion

                 \frac{BC'}{BC} =\frac{A'C'}{AC} \\\frac{y}{y+15} =\frac{14}{22} \\22y=14(y+15)\\22y=14y+210\\8y=210\\y=26.25

<u>Answer:</u>

  • <u>x= 17.143</u>
  • <u>y = 26.25</u>

Hope that helps!

#LearnwithBrainly

 

5 0
1 year ago
the total of 3/4 of a fifth grade class finished their work before recess exactly 3/4 of the students who finish before recess d
yaroslaw [1]

Answer:

This is not a question.

Step-by-step explanation:

7 0
3 years ago
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