Hey there! Sorry no one is answering! Definitely B!!
Answer:
1. $-50
2. $25
Step-by-step explanation:
1. If she had $150 in her bank account and bought a bike for $200, then that means she spent all of her money PLUS $50 extra then what she had. That means $200-$150=$50. Her $150 is spent and that $50 becomes negative because she paid $200 when she only had $150.
2. If she deposits $75 in her account then it will be $75+(-50). That translates to $75-$50 which is $25.
+ and - = -
+ and + = +
- and - = +
5 + 0.33333...
<span>If you don't immediately recognize 0.33333.... as 1/3 (a very common fraction you should memorize), you can do the following. </span>
<span>x = 0.33333... </span>
<span>Multiply that by 10 to shift everything 1 place to the left: </span>
<span>10x = 3.33333... </span>
<span>Now subtract: </span>
<span>10x - x = 3.33333... - 0.33333... </span>
<span>9x = 3 </span>
<span>x = 3/9 </span>
<span>x = 1/3 </span>
<span>Answer: </span>
<span>5 1/3 </span>
<span>P.S. Here's a shortcut way to turn a repeating decimal into a fraction. </span>
<span>1) Take the repeated part and put it over an equivalent number of nines. </span>
<span>Example: </span>
<span>0.57575757... = 57/99 </span>
<span>At that point, see if you can reduce the fraction: </span>
<span>= 19/33 </span>
<span>Another example: </span>
<span>0.123123123... = 123/999 </span>
<span>= 41/333 </span>
<span>So in your example: </span>
<span>5.33333... = 5 + 0.33333... </span>
<span>= 5 + 3/9 </span>
<span>= 5 1/3</span>
Answer:
<em>The largest rectangle of perimeter 182 is a square of side 45.5</em>
Step-by-step explanation:
<u>Maximization Using Derivatives</u>
The procedure consists in finding an appropriate function that depends on only one variable. Then, the first derivative of the function will be found, equated to 0 and find the maximum or minimum values.
Suppose we have a rectangle of dimensions x and y. The area of that rectangle is:
And the perimeter is
We know the perimeter is 182, thus
Simplifying
Solving for y
The area is
Taking the derivative:
Equating to 0
Solving
Finding y
The largest rectangle of perimeter 182 is a square of side 45.5
Answer:
50% of $6
$3
$9
Step-by-step explanation:
We are given,
The original price for the ticket = $6
Also, the prices of the tickets were raised by 50%.
Thus, the raise in the prices of tickets = 50% of $6.
i.e. Raise = 50% × 6 = 0.5 × 6 = $3
Since, the raise in the prices is by $3.
Thus, the new price of the tickets = $6 + $3 = $9.
Hence, the percent equation is 50% of $6, the amount by which ticket prices rose is $3 and the new amount is $9.
