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Law Incorporation [45]
3 years ago
9

Combine the following fractions. a. 3/5 + 4/15 b. 5/6 - 1/4

Mathematics
1 answer:
Ne4ueva [31]3 years ago
7 0

Hello there! :)

Answer:

1. \boxed{\frac{13}{15} }

2. \boxed{\frac{7}{12} }

Step-by-step explanation:

1. 3/5+4/15

First, you multiply by numerator and denominator.

3*3=9

5*3=15

=\frac{9}{15}

Then, you had to combine by the fractions.

\frac{9}{15}+\frac{4}{15}

Add by the numbers from left to right.

9+4=13

<u><em>13/15 is the final answer.</em></u>

______________________________________________

2. 5/6-1/4

First, you multiply by 2 both sides of numerator and denominator.

5*2=10

6*2=12

10/12

3/12

\frac{10}{12}-\frac{3}{12}

Subtract by the numerator.

10-3=7

<em><u>7/12 is the final answer.</u></em>

______________________________

Hope this helps!

Thanks!

Have a nice day! :)

:D

-Charlie

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In an arithmetic sequence, if a2=5 and a10=19 find a6
insens350 [35]

Answer:

93

Step-by-step explanation: The first term of AP is -5 and second term means -3.  

Common difference(d) = second term - first term

d = (-3)-(-5)

d= 2

Now using the formula of nth T  

n

​

=a  

1

​

+(n−1)d

Here a  

1

​

=−5,n=50,d=2

Puting these values in the formula of of nth term we get  

a  

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​

=−5+(50−1)2

a  

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=−5+98

a  

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​

=93

8 0
2 years ago
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harkovskaia [24]
The answer is C 210 pi cm^3. Hope this helps

8 0
3 years ago
walnut grower estimates from past records that if 20 trees are planted per acre, then each tree will average 60 pounds of nuts p
laila [671]

Answer:

5 trees should be planted to maximize the yield per acre,

The maximum yield would be 1250

Step-by-step explanation:

Given,

The original number of trees per acre = 20,

Average pounds of nuts by a tree = 60,

Let x be the times of increment in number of trees,

So, the new number of trees planted per acre = 20 + x

∵ for each additional tree planted per acre, the average yield per tree drops 2 pounds,

So, the new number of pounds of nut = (60 - 2x)

Thus, the total yield per acre,

Y(x) = (20+x)(60-2x)

Differentiating with respect to t ( time ),

Y'(x) = (20+x)(-2) + 60 - 2x = -40 - 2x + 60 - 2x = 20 - 4x

Again differentiating with respect to t,

Y''(x) = -4

For maxima or minima,

Y'(x) = 0

⇒ 20 - 4x = 0

⇒ 20 = 4x

⇒ x = 5,

For x = 5, Y''(x) = negative,

Hence, Y(x) is maximum for x = 5,

And, maximum value of Y(x) = (20+5)(60 - 10) = 25(50) = 1250,

i.e. 5 trees should be planted to maximize the yield per acre,

and the maximum yield would be 1250 pounds

4 0
2 years ago
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strojnjashka [21]

Answer:

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Step-by-step explanation:

3 0
3 years ago
What is 7+3t over 4 = -t over 8
katrin [286]
7+3t       -t
------- = -----  is the relevant equation here.  We don't ask, "What is 7+3t over
   4          8    -t over 8," but rather "Solve the following equation for t."

Cross multiplying, 56 + 24t = -4t
 
                                       -56
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                                         28

The solution to "<span>What is 7+3t over 4 = -t over 8" is t = -2.</span>
5 0
3 years ago
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