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scZoUnD [109]
3 years ago
6

-2/3 + 3/9 help me please

Mathematics
2 answers:
valkas [14]3 years ago
8 0

Answer:

This will be as a decimal: 0.33333333333

Step-by-step explanation:

0.4 = 2/5. 0.33333333333… =1/3. 0.237 = 237/1000.

Marina CMI [18]3 years ago
3 0

Answer:

-0.333333333333

Step-by-step explanation:

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A man travels 20 km by car from Town P to Town Q at an average speed of x km/h. He finds that the time of the journey would be s
yuradex [85]

Answer:

x = 20.

Step-by-step explanation:

First, you should remember the relation:

Distance = Speed*Time.

First, we know that a man travels a distance of 20km at a speed of x km/h, in a time T.

We can write this as:

20km = (x km/h)*T

We know that the time is shortened by 12 minutes if the speed is increased by 5km/h

Rewriting these 12 minutes in hours (remember that 60min = 1 hour)

12 min = (12/60) hours = 0.2 hours

Then from this, he can travel the same distance of 20km in a time T minus 0.2 hours if the speed is increased by 5 km/h

We can write this as:

20km = (x + 5 km/h)*(T - 0.2 h)

Then we have a system of two equations, and we want to find the value of x:

20km = (x km/h)*T

20km = (x + 5 km/h)*(T - 0.2 h)

First, we should isolate the variable T in one of the equations, if we isolate it in the first one, we will get:

20km/(x km/h) = T

Replacing that in the other equation we get:

20km = (x + 5 km/h)*(T - 0.2 h)

20km = (x + 5 km/h)*( 20km/(x km/h) - 0.2 h)

Now we can solve this for x.

Removing the units (that we know that are correct) so the math is easier to read, we get:

20 = (x + 5)*(20/x - 0.2)

We only want to solve this for x.

20 = x*20/x - x*0.2 + 5*20/x - 5*0.2

20 = 20 - 0.2*x + 100/x - 1

subtracting 20 in both sides we get:

20 - 20 = 20 - 0.2*x + 100/x - 1 - 20

0 = -0.2*x + 100/x - 1

If we multiply both sides by x we get:

0 = -0.2*x^2 + 100 - x

-0.2*x^2 - x + 100 = 0

This is just a quadratic equation, we can solve it using the Bhaskara's equation, the solutions are:

x = \frac{-(-1) \pm \sqrt{(-1)^2 - 4*(-0.2)*100} }{2*-0.2}  = \frac{1 \pm 9 }{-0.4}

Then the two solutions are:

x = (1 + 9)/-0.4 = -25

x = (1 - 9)/-0.4 = 20

As x is used to represent a speed, the negative solution does not make sense, so we should use the positive one.

x = 20

then the average speed initially is 20 km/h

3 0
2 years ago
PLS HELP ME ASAP FOR 3!!! (MUST SHOW WORK!!) + LOTS OF POINTS!! *brainliest*
Roman55 [17]
$2, because if you do 8*25 you get 200 and if you divide that by 100 you get a total of 2 making the tax on the purchase $2.
4 0
3 years ago
Read 2 more answers
If you multiply 5(2x+3+4y), the answer is ______
Volgvan

Answer:

You don't even need to do the whole question. Just look at 5 times 2x. which is 10x then u get your answer

6 0
2 years ago
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Can any one help me with this problem
katrin [286]

Answer:

37.74 ft

Step-by-step explanation:

An angle and its opposite side are known

Sin (of the angle)= opposite/ hypotenuse

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Sin (32)= 20/ hypotenuse

hypotenuse= 20/ Sin (32)

Sin (32)=0.5299

hypotenuse= 20/ 0.5299

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Hopefully this helps :)

3 0
3 years ago
Find the circumference and area of the circle having a given diameter of d = 13 cm
expeople1 [14]
Circumference of circle = pi*diameter = 13pi cm

Area is pi*d^2/4 = pi*13^2/4 = 42.25pi cm^2.
5 0
3 years ago
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