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Butoxors [25]
3 years ago
5

Solve the system 2x+4y=16 5x +3y=19 then find the value of y/x

Mathematics
1 answer:
AURORKA [14]3 years ago
4 0

Answer:

I would change 2x+4y=24 into x=12–2y

To do that, divide both sides by 2 and then subtract 2y on each side.

After that, substitute for x. 3x+2y=19 would become 3(12–2y)+2y=19.

Then solve.

3(12–2y)+2y=19

36–6y+2y=19

-4y+36=19

-4y=-17

y=4.25

Then, substitute y in either equation.

Either this:

3x+2y=19

3x+2(4.25)=19

3x+8.5=19

3x=10.5

x=3.5

Or:

2x+4y=24

2x+4(4.25)=24

2x+17=24

2x=7

x=3.5

Or you could solve it in the equation you created in the beginning:

x=12–2y

x=12–2(4.25)

x=12–8.5

x=3.5

The coordinates where the lines intercept are (3.5, 4.25).

Sorry for the long answer!

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PLZZ GIVING BRAINILEST
ankoles [38]

Answer:

  1. 3.5(1.6 + 4.6 - 8.5) - 9.75
  2. = 3.5(-2.3) - 9.75
  3. = -8.05 - 9.75
  4. = -17.8

Step-by-step explanation:

  1. 1.6 + 4.6 - 8.5 = -2.3
  2. 3.5(-2.3) = 3.5 × -2.3 = -8.05
  3. -8.05 - 9.75 = -17.8

I hope this helps!

3 0
3 years ago
Parking lot has 121 spots. Ratio of senior to junior is 7 to 4. How many spots go to each grade level?
Andrej [43]
I am going to build a chart this is best when using ratios 

              seniors    junior  total
                 7              4       
                 *?             *?     *?
    Totals                          121   

The way we fill out this chart is that we add the rows and multiply the columns. 

So we add 7 + 4 and fill it in our chart we get 11 

            seniors    junior  total
                 7              4       11
                 *?             *?     *?
    Totals                          121   

now to find the *? need to divide 121/11 to get *?

121/11 = 11

so now our chart looks like this 
            seniors    junior  total
                 7              4       11
                 11            11     11
    Totals                          121   

Now we multiply each column 

so
7 * 11  = 77
 4*11 = 44

now our chart look like this 

            seniors    junior  total
                 7              4       11
                 11            11     11
    Totals     77           44      121   

so seniors get 77 spaces 
and juniors get 44 spaces. 

6 0
2 years ago
When salt and water are combined, they form a salt or saline solution. How much ml of water must be added to 150 mL of an 80% sa
Vinvika [58]

Answer:

We must add 400 ml of water.

Step-by-step explanation:

We can use the following equation:

C_{i}V_{i}=C_{f}V_{f}

Where:

  • C(i) is the initial concentration of the solution (80%)
  • C(f) is the final concentration of the solution (30%)
  • V(i) is the initial volume (150 ml)
  • V(f) is the final volume

Now, we just need to solve the equation for V(f).

V_{f}=\frac{C_{i}V_{i}}{C_{f}}

V_{f}=\frac{80*150}{30}

V_{f}=400\: ml

Therefore, we must add 400 ml of water.

I hope it helps you!

3 0
2 years ago
China was isolated because of
konstantin123 [22]

Answer:

The geography of China isolated it from other cultures because there were the Himalayan Mountains, the Tibet-Qinghai Plateau, the Taklimakan Desert, and the Gobi Desert

7 0
2 years ago
Read 2 more answers
I need help, do I have these pink dots in the right place?
irakobra [83]

Answer:

no, you actually don't.

Step-by-step explanation:

remember: x is how many to the left, and y is how many to the top.

reposition the dots and I will see if it is right the 2nd time.

hope this helped!

6 0
2 years ago
Read 2 more answers
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