Most of the issues with simplifying using the order of operations stem from nested parentheses, exponents, and "minus" signs. So, in the examples that follow, I'll be demonstrating how to work with these sorts of expressions.
(Links are provided for additional review of working with negatives, grouping symbols, and powers.)
Simplify 4 – 3[4 –2(6 – 3)] ÷ 2.
<h3>Total cost of their lunch, including the tip is $ 27.6</h3>
<em><u>Solution:</u></em>
The cost for Dana and Courtney's lunch is $24
They want to leave a 15% tip
To find: total cost of their lunch, including the tip
<em><u>Find the tip amount</u></em>
Tip amount = 15 % of 24
<em><u>what is the total cost of their lunch, including the tip?</u></em>
Total cost = cost of lunch + tip amount
Total cost = 24 + 3.6
Total cost = 27.6
Thus total cost of their lunch, including the tip is $ 27.6
Answer:
The area of the shape is 122.30 cm^2
Step-by-step explanation:
To calculate the surface area, we identify the side shapes
We have this as;
a rectangle that measures 11 cm by 3 cm, a rectangle that measures 3 cm by 6 cm, a rectangle that measures 8 cm by 3 cm, 2 triangles ( base and top) that has a height of 4.3 cm and a base of 11 cm
The area of the rectangles is simply the product of the side lengths
The area of the triangles is the product of the base and the height divided by 2; but since we have 2 exact triangles, we can simply multiply the base and the height to serve as the area of both
Thus, we have the area of the shape as follows;
(11 * 3) + (3 * 6) + (8 * 3) + (4.3 * 11)
= 33 + 18 * 24 + 47.3
= 122.30 cm^2
Answer:8
Step-by-step explanation:
Answer:
m = 7, m = -15
Step-by-step explanation:
The absolute value makes it so we can make two equations:
m + 4 = 11 and m + 4 = -11.
solve the equations:
m + 4 = 11
m = 7
and
m + 4 = -11
m = -15.