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olya-2409 [2.1K]
3 years ago
10

Simplify the following expression 2/5 + 4/3 over 3/5

Mathematics
1 answer:
madreJ [45]3 years ago
6 0
This written out is:

2/5 + 4/3
------------
     3/5

Roughly, now first we need to change the denominators to all match up in order to properly solve this problem.

Both 5 and 3 go into 15, 5 goes into 15 3 times and 3 goes into 15 5 times. With that said, multiply the individual numerators by 5 and 3.

2/5 -> 2*3/15 -> 6/15
4/3 -> 4*5/15 -> 20/15
3/5 -> 3*3/15 -> 9/15

With this, we then add the top numerator of the overall problem:

26/15
------- | With this we now cross-multiply.
 9/15

26/15 * 15/9 = 390/135 | Now to simplify this.

135 goes into 390 twice, as 270. Subtract 390 by 270, leaving us with 120.

Meaning: 2 120/135 is the answer, but now to simplify. Divide 120 and 135 by 5 to lessen this.

24/27 | Divide this by 3 to get your most simplified answer.
8/9 | Leaving us with the answer of:

2 8/9

I hope this helps, have a great rest of your day! ^ ^
| | Ghostgate | |
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For which system of equations is the graph below a solution?​
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What is the answer to x/16=45/40
AveGali [126]
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3 years ago
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Keisha, Miguel, and Pablo sent a total of 69 text messages during the weekend. Miguel sent 5 more messages than Keisha. Pablo se
frutty [35]

Number of text messages Keisha sent: 16

Number of text messages Miguel sent: 21

Number of text messages Pablo sent: 32

Step-by-step explanation:

Total messages sent = 69

Let,

Messages sent by Keisha = x

Messages sent by Miguel = y

Messages sent by Pablo = z

According to given statement;

x+y+z=69    Eqn 1

y=x+5    Eqn 2

z=2x    Eqn 3

Putting Eqn 2 and 3 in Eqn 1

x+(x+5)+2x=69\\x+x+5+2x=69\\4x=69-5\\4x=64

Dividing both sides by 4;

\frac{4x}{4}=\frac{64}{4}\\x=16

Putting x=16 in Eqn 2

y=16+5=21

Putting x=16 in Eqn 3

z=2(16)=32\\

Number of text messages Keisha sent: 16

Number of text messages Miguel sent: 21

Number of text messages Pablo sent: 32

Keywords: addition, linear equation

Learn more about addition at:

  • brainly.com/question/10882895
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3 years ago
Pls answer this for me, this is the remainder theorem for grade 9 so help me.
professor190 [17]

Answer:

1.  3

2. 2

Step-by-step explanation:

| |  

x | + | 1 | | x^2 | + | 4 x | - | 2

x^3 | + | 5 x^2 | + | 2 x | + | 1

x^3 | + | x^2 | | | |  

| | 4 x^2 | + | 2 x | |  

| | 4 x^2 | + | 4 x | |  

| | | | -2 x | + | 1

| | | | -2 x | - | 2

| | | | | | 3

__________________________________________

| |  

x | - | 5 | | x^2 | - | x | + | 0

x^3 | - | 6 x^2 | + | 5 x | + | 2

x^3 | - | 5 x^2 | | | |  

| | -x^2 | + | 5 x | |  

| | -x^2 | + | 5 x | |  

| | | | | | 2

| | | | | | 0

| | | | | | 2

5 0
3 years ago
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