After 100 more minutes, the rate has gone from 30 to 80, increasing by 50. 100 divided by 50 is 2 so for every 2 minutes she is charged one dollar, but per minute the rate is 50 cents per minute. Hope this helps :)

5 0

3 years ago

Which two inequalities to compare |-5| and 4?

lilavasa [31]

Answer:

|-5|>4

Step-by-step explanation:

Negative 5 in absolute value is 5 since any number in absolute value turns out positive or at the very least 0. 5 is greater than 4, so |-5|>4.

7 0

3 years ago

Solve this equation for x. <br> 2/3(x+8)^2-66=0

yKpoI14uk [10]

Answer:

$\large\boxed{x=-8\pm3\sqrt{11}}$

Step-by-step explanation:

$\dfrac{2}{3}(x+8)^2-66=0\qquad\text{add 66 to both isdes}\\\\\dfrac{2}{3}(x+8)^2-66+66=0+66\\\\\dfrac{2}{3}(x+8)^2=66\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot\dfrac{2}{3\!\!\!\!\diagup_1}(x+8)^2=(3)(66)\\\\2(x+8)^2=198\qquad\text{divide both sides by 2}\\\\\dfrac{2\!\!\!\!\diagup^1(x+8)^2}{2\!\!\!\!\diagup_1}=\dfrac{198\!\!\!\!\!\diagup^{99}}{2\!\!\!\!\diagup_1}\\\\(x+8)^2=99\iff x+8=\pm\sqrt{99}\qquad\text{subtract 8 from both sides}$

$x+8-8=-8\pm\sqrt{(9)(11)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\x=-8\pm\sqrt9\cdot\sqrt{11}\\\\x=-8\pm3\sqrt{11}$

8 0

4 years ago