Answer:
7.7u - 5.1v + 14.5w
Step-by-step explanation:
Given length:
Side A = (1.2u+1.8v) centimeters,
Side B = (6.5u+8.7w) centimeters
Side C = (5.8w-6.9v) centimeters
Perimeter of a triangle = side A + side B + side C
= (1.2u+1.8v) + (6.5u+8.7w) + (5.8w-6.9v)
= 1.2u + 1.8v + 6.5u + 8.7w + 5.8w - 6.9v
Collect like terms
= 1.2u + 6.5u + 1.8v - 6.9v + 8.7w + 5.8w
= 7.7u - 5.1v + 14.5w
Therefore, the perimeter of the triangle is 7.7u - 5.1v + 14.5w
7n - 25/ 3
I hope that helps.
1/2n - 4 = 5
1/2n = 5 + 4
1/2n = 9
n = 9 * 2
n = 18 <==
<h3>
Answer: 60 muffins</h3>
=========================================================
Explanation:
x = some positive whole number
2x = amount Helen baked initially
5x = amount Rebecca baked initially
Notice that the ratio 2x:5x reduces to 2:5 after dividing both parts by x.
So (2x)/(5x) = 2/5
Helen then bakes another 12 muffins, bumping the 2x up to 2x+12. The ratio is now 1:2, which means,
(amount Helen bakes)/(amount Rebecca bakes) = 1/2
(2x+12)/(5x) = 1/2
2(2x+12) = 5x*1 .... cross multiply
4x+24 = 5x
24 = 5x-4x
24 = x
x = 24
From here, we then can say,
- Helen = 2x+12 = 2*24+12 = 48+12 = 60
- Rebecca = 5x = 5*24 = 120
Helen baked 60 muffins and Rebecca baked 120 muffins. We see that 60:120 reduces to 1:2 after dividing both parts by the GCF 60.
Furthermore, note how
- 2x = 2*24 = 48
- 5x = 5*24 = 120
- 48:120 reduces to 2:5 after dividing both parts by 24
This helps confirm we have the correct answer.
X>-1 step by step explaination subtract -3 with 5 -3 and 3 are cancelled they equal to zero then u bring down -2x<2 then Divide u Change the signs and X>-1
