Answer:
The dimensions of the rectangle are length = 7cm and width = 6cm.
Step-by-step explanation:
In order to solve for the dimensions, you will need to set up two equations in order to solve for the missing variable. Given the information that the length is 5 cm less then twice it's width, using 'L' for length and 'w' for width we get the following equation: L = 2w - 5. Perimeter is the sum of all the sides, or in the case of a rectangle P = 2w + 2L. We can then use our expression for 'L' in our perimeter formula: 26 = 2w + 2(2w - 5). First, using the distributive property we get: 26 = 2w + 4w - 10. Next, we combine like terms: 26 = 6w - 10. Then, we use inverse operations to isolate the variable: 26 + 10 = 6w - 10 + 10 to get 36 = 6w, divide both sides by 6 to get w = 6. Lastly, plug in the value of 'w' to 'L': L = 2(6) - 5 or L = 7.
Answer:
44
Step-by-step explanation:
The absolute value symbols turn any negative inside of them to a positive, so your expression is ...
2 + 4·3 +5·7 +1 -6
= 2 +12 +35 +1 -6
= 44
That expression is the expected value of your winnings, or "the average amount you will win (or lose) per game in the long run".
Answer:
Step-by-step explanation:
children playing in park = (1/6)*24 = 4
Answer:
The answer to your question is 113.04 in²
Step-by-step explanation:
To solve this problem substitute the values in the formula and simplify.
Data
Area = ?
radius = 6 in
π = 3.14
Formula
Area = π x r²
Substitution
Area = (3.14) x (6)²
Simplification
Area = 3.14 x 36
Result
Area = 113.04 in²
