Which decimals are equivalent to 5x10 + 2x1/100

Answer both please asap (there’s a picture)

krek1111 [17]

Answer:

(0, 1)

Step-by-step explanation:

So, the spot on the graph where they cross.

4 0

2 years ago

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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

Which line represents the direct variation equation y = 1/2x?

Verdich [7]

Answer:

C.

Step-by-step explanation:

y = 1/ x must pass through the origin because when x = 0, y = 0.

So its either B or C.

A positive slope rises to the right ( 1/2 is positive), so its C.

You can also see that the slope of C is 1/2 because it passes through the points (0.0) and (2, 1).

7 0

2 years ago

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Write the equation of the line if fully simplified slope in intercept form

viva [34]

Answer:

As we have seen before, you can write the equation of any line in the form of y = mx + b . This is the so-called slope intercept form, because it gives you two important pieces of information: the slope m and the y-intercept b of the line. You can use these values for linear interpolation later.

Step-by-step explanation:

8 0

2 years ago

After 5 tests Dara's average score was 88 what score must she average on the next two tests to have a seven-test average of 90?

Tomtit [17]

After 5 tests, her average was 88. To have a seven-test average of 90, the total must be:

$90 \times 7 = 630$