The lengths of the sides of a triangle are in the extended ratio 6 : 7 : 10. The perimeter of the triangle is 115 cm. What are the lengths of the sides?

30 cm, 35 cm and 50 cm

Step-by-step explanation:

Sum the parts of the ratio, 6 + 7 + 10 = 23 parts

Divide the perimeter by 23 to find the value of one part of the ratio.

115 cm ÷ 23 = 5 cm ← value of 1 part of the ratio

Thus the lengths of the sides are

6 × 5 cm = 30 cm

7 × 5 cm = 35 cm

10 × 5 cm = 50 cm

(30 + 35 + 50 = 115 )

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40