If he bikes for 10 miles per hour and 8 miles per hour for the same distance x miles, he went 10 miles per hour for x/10 hours, as Distance = Rate*Time and on the way back he would go for x/8 hours. So then he went 2x distance, in x/8 + x/10 hours. Since x/8 + x/10 = 10x/80 + 8x/80 = 18x/80 = 9x/40, he went 2x miles in 9x/40 hours. this can be converted into a rate with the above equation Distance = Rate*Time, so 2x=(9x/40) * Rate, thus we divide by 9x/40 on both sides to get 80x/9x = Rate, the x cancels out, and we get 80/9 Miles per hour.

4 0

4 years ago

X to the 2 power = -169 solve for X

Snezhnost [94]

$x^2=-169\\\\in\ the\ real\ numbers\ set\ (\mathbb{R})\ no\ solution\to x\in\O\\\\in\ the\ complex\ _numbers\ set\ (\mathbb{C}):\\\\i=\sqrt{-1}\\\\therefore:\\\\x^2=-169\\\\x=\pm\sqrt{-169}$

$x=\pm\sqrt{-1\cdot169}\\\\x=\pm(\sqrt{-1}\cdot\sqrt{169})\\\\x=\pm(i\cdot\sqrt{13^2})\\\\\boxed{x=\pm13i}$

7 0

3 years ago

<img src="https://tex.z-dn.net/?f=10x%2B2%3D32" id="TexFormula1" title="10x+2=32" alt="10x+2=32" align="absmiddle" class="latex-

Sunny_sXe [5.5K]

3 would represent x.
10 times 3 = 30
30 plus 2 = 32
hope this helps!

3 0

3 years ago

Read 2 more answers

Peyton knows that 18 means “1 divided by 8.” She uses this to find the decimal equivalent for 18. Enter a digit into each box to

IceJOKER [234]

Answer:

Down Here ↓↓↓↓↓↓↓

Step-by-step explanation:

1/8 = 1 ÷ 8

It might be weird with the formatting but here:

0. 1 2 5

____________

8 | 1. 0 0 0

− 0

____________

1 0

− 8

____________

2 0

− 1 6

___________

4 0

− 4 0

___________

-Chetan K

7 0

3 years ago