Answer:
12 black beads
Step-by-step explanation:
Given the ration of gold beads to black beads on the short necklace:
Since the ratio of 4:1 has 5 total parts, you can take the total amount of beads in the long necklace and divide by 5:
60 ÷ 5 = 12
12 beads represents 1 part of the ratio, so that would be the number of black beads. To check, multiply 12 by 4: 12 x 4 = 48, and set up a ratio:
48: 12 = 4: 1
Answer:
137 ft²
Step-by-step explanation:
The shop is rectangular in shape. The area of a rectangle is given by:
Area = length * width
Since the length of the shop = 20 ft and the width = 10 ft, therefore:
Area of the shop = length * width = 20 ft * 10 ft = 200 ft²
The part that would not be tiled is of triangular shape. The area of a triangle is given as:
Area = (1/2) * base * height
The base of the triangle = 18 ft, the height = 7 ft. Hence:
Area of non tiled part = (1/2) * base * height = (1/2) * 18 ft * 7 ft = 63 ft²
The total square feet of tile needed to complete the job = Area of shop - Area of non tiled part
The total square feet of tile needed to complete the job = 200 ft² - 63 ft² = 137 ft²
