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nexus9112 [7]
2 years ago
6

Solve the following equation for x. 3x - 9 = -42

Mathematics
1 answer:
r-ruslan [8.4K]2 years ago
3 0

Answer:

x = -11

Step-by-step explanation:

Add 9 to both sides of the equation

3 − 9 = −42

3 − 9 + 9 = −42 + 9

Simplify

Add the numbers

3 = −33

Divide both sides of the equation by the same term

3 = −33

3/3 = −33/3

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

= −11

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Answer:

14.3 km/h   to 3 significant figures

Step-by-step explanation:

Let time travelling upstream be t1 hours and downstream = t2 hours.

t1 + t2 = 1.75..........................(1)

Let v  be the speed of the boat in still water.

12 / t1 = v - 3.........................(2)

12 /  t2 = v + 3........................(3)

From (1) and (3) , substituting for t2:-

12 / (1.75 - t1) = v + 3 ..................(4)

Subtract:-   (2) - (4):-

12 / t1 - 12 / (1.75 - t1) = -6

12(1 .75 - t1) - 12t1 = -6t1(1.75 -  t1)

21 - 12t1 - 12t1 = -10.5t1 + 6t^2

6t1^2 + 13.5t1 - 21 = 0

Solving this gives t1 = 1.058 hours

Therefore the speed in still water (v)  = 12/1.058 + 3 = 14.3 to 3 sig figs

3 0
3 years ago
A group of volunteers made 21,736 sandwiches for a community service project. There are 143 volunteers in the group. On
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Answer:

b

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21,736 divided by 143 is 157

4 0
3 years ago
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Which is greater 1/10 or .09 why?
lesantik [10]

Answer:

1/10

Step-by-step explanation:

Decimal Form:

0.09

0.1

Fraction Form:

9/100

1/10

Percentage Form:

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Hope that helps :-)

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The Ratio would be 43:100.

Lets simplify the problem,

Expected increase of nurses = 711900

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Ratio = 43:100

Learn more about Ratio on:

brainly.com/question/255469

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