square. The opposite angles are equal, the diagonals intersect at midpoint, opposite sides remain parallel, and the diagonals bisect the angles.
The ratio of total members in the group stands at 5:7, meaning that among every 7 members, there are 5 men and 2 women. We can set it up as a proportion: 5:7 = x:735, leading to the equation 5/7 = x / 735. By cross-multiplying, we get 7*x = 5 * 735, simplifying to 7*x = 3675. Dividing this by 7 results in x = 525. Therefore, there will be 525 men in total.
For one day:
= £9.20 × 7
= £64.40
For six days:
£64.40 × 6 = £386.40
After sharing with his mom:
£386.40/7 × 5
= £55.20 × 5
= £276
To purchase a car worth £1932:
£1932/£276 = 7
Thus, he needs 7 weeks to save enough for the car priced at £1932.
The range consists of all the valid y values, starting from 5.
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.
