The correct choice is option D. The given equations are:...[1]...[2] Multiply equation [1] by 5 on both sides; we have...[3]. By using the elimination method, we can add equations [2] and [3] to eliminate y and determine x, resulting in... Dividing both sides by 13 yields x = 3. Substituting x back into equation [1] results in 2(3) - y = -4, which simplifies to 6 - y = -4. After subtracting 6 from both sides, we find -y = -10. Dividing through by -1 gives y = 10. Hence, the solution is (3, 10). Consequently, a valid equation that can replace 3x + 5y = 59 in the original set while still yielding the same result is 13x = 39.
If Ralph allocated $180 rather than the intended $175 for entertainment, he spent $35 for each date and let's denote "x" as the number of dates he attended. He also spent $15 when going out with friends, where "y" represents his outings with friends.
The accurate equation is "B" which is 35x + 15y = 180.
Answer:
Marian is able to choose from 1,771 different combinations
Step-by-step explanation:
In tackling this question, we are focused on determining how many combinations Marian can select, considering there are 23 flavors available, each of which can be served in one of three options.
To figure this out mathematically, the total number of combinations is represented as 23C3
Calculating this gives us 23!/(23-3)!3! = 23!/20!3! = 1,771
Thus, she can order a total of 1,771 combinations
Answer:
Step-by-step explanation:
A triangle is a type of polygon containing three sides. The classifications of triangles include equilateral, isosceles, scalene, and right-angled triangles.
An equilateral triangle features all three sides and angles as equal.
An isosceles triangle consists of two sides and angles that are equal.
A scalene triangle comprises sides and angles that are entirely different from one another.
The question presents a triangle with lengths of 9, 10, and 130. All side lengths are distinct, classifying it as a scalene triangle.
