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vazorg [7]
2 years ago
13

Es matemáticas, suma y resta de fracciones Ayuda porfa

Mathematics
2 answers:
Vesnalui [34]2 years ago
3 0

\bold{\huge{\purple{\underline{ Solutions }}}}

<h3><u>Solution </u><u>(</u><u>a)</u><u> </u><u>:</u><u>-</u></h3>

\bold{\dfrac{ 7}{6}}{\bold{ + }}{\bold{\dfrac{ 2}{5}}}

  • <u>By </u><u>taking </u><u>LCM </u><u>of </u><u>the </u><u>given </u><u>denominators </u>

\sf{ = \:}{\sf{\dfrac{ 35 +  12 }{30}}}

\sf{ =\: }{\sf{\red{\dfrac{ 47 }{30}}}}

Hence, The answer is 47/30

<h3><u>Solution </u><u>(</u><u> </u><u>b</u><u>) </u><u> </u><u>:</u><u>-</u></h3>

\bold{\dfrac{ 1}{7}}{\bold{ + }}{\bold{\dfrac{ 1}{8}}}

  • <u>By taking LCM of the given denominators </u>

\sf{ =\: }{\sf{\dfrac{ 8 + 7 }{56}}}

\sf{ =\: }{\sf{\red{\dfrac{ 15}{56}}}}

Hence, The answer is 15/56

<h3><u>Solution </u><u>(</u><u> </u><u>c</u><u>) </u><u> </u><u>:</u><u>-</u></h3>

\bold{\dfrac{ 7}{13}}{\bold{ + }}{\bold{\dfrac{ 5}{10}}}

  • <u>By taking LCM of the given denominators </u>

\sf{=\:}{\sf{\dfrac{ 70 + 65 }{130}}}

\sf{ = \:}{\sf{\dfrac{ 135}{130}}}

\sf{ =\:}{\sf{\red{\dfrac{ 27}{26}}}}

Hence, The answer is 27/26

<h3><u>Solution </u><u>(</u><u> </u><u>d</u><u>) </u><u> </u><u>:</u><u>-</u></h3>

\bold{\dfrac{ 7}{5}}{\bold{ - }}{\bold{\dfrac{ 1}{3}}}

  • <u>By taking LCM of the given denominators</u>

\sf{ =\:}{\sf{\dfrac{ 21 - 5 }{15}}}

\sf{ = \:}{\sf{\red{\dfrac{ 16}{15}}}}

Hence, The answer is 16/15

<h3><u>Solution </u><u>(</u><u> </u><u>e) </u><u>:</u><u>-</u></h3>

\bold{\dfrac{ 8}{7}}{\bold{ - }}{\bold{\dfrac{ 9}{11}}}

  • <u>By taking LCM of the given denominators</u>

\sf{=\:}{\sf{\dfrac{ 88 - 63}{77}}}

\sf{=\:}{\sf{\red{\dfrac{ 25}{77}}}}

Hence, The answer is 25/77

<h3><u>Solution </u><u>(</u><u> </u><u>f</u><u>) </u><u>:</u><u>-</u></h3>

\bold{\dfrac{ 11}{4}}{\bold{ - }}{\bold{\dfrac{ 1}{9}}}

  • <u>By taking LCM of the given denominators</u>

\sf{=\:}{\sf{\dfrac{ 99 - 4}{36}}}

\sf{ =\: }{\sf{\red{\dfrac{ 95}{36}}}}

Hence, The answer is 95/36

Sedbober [7]2 years ago
3 0

Answer:

Mt Bueno esta alejandro Si

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The equation x+53=15 can be solved by performing two operations on both sides.
Wewaii [24]
Hey!


You're right! This equation can definitely be solved by performing two operations on both sides. Let me show you how it's done.

First, let's write out our equation.

<span><em>Original Equation :</em>
</span>x + 53 = 15

Now that that's done, we'll be performing two operations on both sides. The operation we'll want to do is subtracting both sides of the equation by 53. We do this to get x on its own.

<em>Original Equation :</em>
x + 53 = 15

<em>New Equation {Added Subtract 53 to Both Sides} :</em>
x + 53 - 53 = 15 - 53

Now we have to solve the equation. Let's do the left side first.

<em>Left Side of the Equation :</em>
x + 53 - 53 

<em>Left Side of the Equation {Solved} :</em>
x

Now, we'll solve the right side of the equation.

<em>Right Side of the Equation :</em>
15 - 53

<em>Right Side of the Equation {Solved} :</em>
-38

Now we can put both solutions to both sides of the equation together.

<em>New Equation :</em>
x = -38

Since this cannot be simplified any farther, this is our final answer. And that's it!

<em>So, now we know that in the equation x + 53 = 15,</em>  x = -38

Hope this helps!


- Lindsey Frazier ♥
3 0
3 years ago
You are fundraising for the schools track team by selling clothing. The first day, you sell 13 t-shirts and 17 pairs of shorts f
Anastasy [175]

Answers:

one t-shirt costs  $10

one pair of shorts costs  $15

============================================================

Explanation:

x = cost of one t-shirt

y = cost of one pair of shorts

13x+17y = 385 is the first equation because 13x represents the money you get from selling 13 shirts, and the 17y represents the amount you get from selling 17 shorts. The total 13x+17y is given to be $385

The second equation is 13x+12y = 310 for similar reasoning, but this time you sell 12 shorts this time and you get $310 in revenue.

The system of equations we have is:

\begin{cases}13x+17y = 385\\13x+12y=310\end{cases}

There are a few ways to solve this system. Possibly the quickest method is to note that the 13x shows up twice, so we can subtract straight down to eliminate the x terms

So,

  • 13x-13x becomes 0x or just 0, and the x terms go away.
  • 17y-12y becomes 5y
  • 385-310 becomes 75

After those three subtractions, we have the equation 5y = 75 which solves to y = 15 after dividing both sides by 5. This means the cost of one pair of shorts is $15

Plug this y value into any equation involving x and y, and solve for x

13x+17y = 385

13x+17(15) = 385

13x+255 = 385

13x = 385-255

13x = 130

x = 130/13

x = 10

Therefore, each t-shirt costs $10

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

To help verify the answer, plug (x,y) = (10,15) into each equation. We should end up with a true result after simplifying both sides.

Start with the first equation

13x+17y = 385

13(10)+17(15) = 385

130+255 = 385

385 = 385

We get a true result which confirms the first equation.

Repeat for the second equation.

13x+12y = 310

13(10)+12(15) = 310

130+180 = 310

310 = 310

Both equations are true so (x,y) = (10, 15) has been fully confirmed.

6 0
3 years ago
Consider the series 4 + 12 + 36 ... Find the sum of the first 9 terms.​
jeyben [28]

Answer:

39364

Step-by-step explanation:

You can simplify the equation to make 4(1+3+9...) The nth term is therefore 3^{n-1} so u can substitute that into the equation so 4(3^{n-1}+ 3^{n}  + 3^{n+1}..). This would simplify to 4(3^0 +3+3^2+3^3+3^4+3^5+3^6+3^7+3^8). By simplifying this, you can make it so 4(2^2+6^2+18^2+42^2+81^2) = 4(4+36+324+2916+6561) =39364

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2 years ago
Can I please get some real help on this question?
nlexa [21]
Yeas ofcourse just sign up form brainly premium
5 0
3 years ago
A giant pencil, in the shape of a cylinder, has a length of 36 inches and a diameter of 6 inches. On top, it has a cone-shaped t
zysi [14]
R=3
Vcyl.=36(9π)=324π
Vcone=4(9π)=36π
V pencil=324π+36π=360π
4 0
3 years ago
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