This is a problem of
system of linear equations in two variables. This concept of mathematics is very useful in real-life problems. You can solve a system by finding the solution. A
solution of a system are the values of the variables that satisfies each equation in the system. So by knowing these concepts we can get a system of equation by analyzing each statement step by step, that is:
1. Alice has a total of 12 dimes and nickels.
Let the variables:
1st. Equation:
<span>
2. She has 2 more nickels than dimes
2nd Equation:
Therefore our system of linear equations is:
</span>
Conclusion:<span>Alice has
5 dimes and
7 nickels. </span>
Answer:
C. 1.8 m × 1.1 m
Step-by-step explanation:
Actual dimensions will be 18 times those shown:
- 18×6.0 cm = 108 cm ≈ 1.1 m
- 18×9.8 cm = 176.4 cm ≈ 1.8 m
The approximate window dimensions are 1.8 m × 1.1 m.
<span>they are all parallel to each other.
Thanx !</span>
Answer:
Sergio's strategy was to multiply the sum of the length and width of the rectangle by 2. This was one correct way to find the perimeter of the rectangle.
Jamie's strategy was to add the given measurements of the length and width of the rectangle together. This was another correct way to find the perimeter of the rectangle.
Karina's strategy was to multiply the given length of the rectangle by 2 and add this product to the width of the rectangle. This was NOT a correct way to find the perimeter of the rectangle, as it did not follow the formulas to finding the perimeter of a rectangle: l + w + l + w, or 2(l + w) and furthermore formulas that explain the same thing. Karina only multiplied the length by 2 and did not account for the width of the retangle which she should have done as well.
Ethan's strategy was to multiply the width by 2, multiply the length by 2, and add these two products together to find the perimenter. This final strategy was correct, and can be used to find the perimeter of the rectangle.
Hope this helps you! I love doing math, so enjoy!
