A car travels 1/6 of the distance between two cities in 3/5 of an hour. At this rate, what fraction of the distance between the two cities can the car travel in 1 hour.

Answers

Answer 1

Answer: If you can drive 1/6 of the distance every 3/5 of an hour, to find how much of the distance you can drive in 1 hour, you would first figure out what you would have to multiply by 3/5 hr to get 1 hr.
3/5x = 1
x = 1÷3/5 (1 · 5/3)
x = 5/3
Then, you multiply 1/6 by 5/3
1/6 · 5/3 = 5/18
So, in one hour, you can drive 5/18 of the distance

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Find the solution set of this inequality|10x+20| ≤10

Answers

Answer:

solution is

[-3,-1]

Step-by-step explanation:

we are given

$|10x+20|\leq 10$

Firstly, we will find critical values

so, let's assume it is equal

$|10x+20|= 10$

now, we can break absolute sign

For $|10x+20|= -(10x+20)$ :

$-(10x+20)= 10$

we can solve for x

$-10x-20= 10$

Add both sides by 20

$-10x-20+20= 10+20$

$-10x= 30$

Divide both sides by -10

and we get

$x=-3$

For $|10x+20|= (10x+20)$ :

$(10x+20)= 10$

we can solve for x

$10x+20= 10$

Subtract both sides by 20

$10x+20-20= 10-20$

$10x= -10$

Divide both sides by 10

and we get

$x=-1$

so, critical values are

$x=-3$

$x=-1$

now, we can draw a number line and locate these values

and then we can check inequality on each intervals

For $(-\infty,-3)$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=-5

$|10* -5+20|\leq 10$

$|-50+20|\leq 10$

$30\leq 10$

so, this is FALSE

For $[-3,-1]$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=-2

$|10* -2+20|\leq 10$

$|-20+20|\leq 10$

$0\leq 10$

so, this is TRUE

For $(-1,\infty)$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=0

$|10* 0+20|\leq 10$

$|0+20|\leq 10$

$20\leq 10$

so, this is FALSE

so, solution is

[-3,-1]

if the length of a radius of a circle is doubled how does that affect the circumference and area explain

Answers

If the length of the radius in a circle is increased (or in this case, doubled) the circumference changes along with it. Because, remember; radius is half of circumference, so if the radius changes it only makes sense for the or circumference to change as well. To find the area of the circle you need the circumference, and if the radius has been changed, so will the circumference, and if the circumference has changed, so will the area. Get it? Hope I helped

What is the scale factor?

Answers

Let's say you have two similar figures, one bigger than the other. The scale factor is the ratio of the length of a side of the other figure. I hope this helps! :)

Inequality question

Answers

Answer:

-15

Step-by-step explanation:

in the diagram the length of figure s is 2/3 the length of figure T. If it has an area of 368 centimeters squared, find the perimeter of the figure

Answers

can u pl explain the question

Simplify -6 + 4/7 x + 4 - 6/7 x , show work

Please I Need Help Asap .

Answers

6+4= 10
4/7x+-6/7x= -2/7x
Answer would be 10 - 2/7x

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