Answer:
a. 21: 45
d. 63: 135
Step-by-step explanation:
Ratio or Relationship of two quantities is the result of comparing two quantities.
Such a comparison could be indicated as a reason, in four different ways, in this way:
1)a: b
2)a ÷ b
3)a/b
d)The reason for a is a b.
Equivalent ratios can be used to show the same relationship between two quantities. Remember that the word "equivalent" means the same.
Problem development
We observe what are the equivalent relationships 7:15 and conclude that they are the following:
a.To find the equivalent ratio, we divide the numerator and denominator by the same number , In this case we divide by 3:
21: 45 = 21/45 = 21÷3 /45÷3 = 7/15
d.To find the equivalent ratio, we divide the numerator and denominator by the same number , In this case we divide by 9:
63: 135= 63/135 = 63÷9 /135÷9= 7/15
The perimeter of the enlarged garden is 16.56 meters.
<u>Step-by-step explanation:</u>
The garden is in the shape of a rectangle.
- The length of the rectangle = 5.4 meters.
- The width of the rectangle = 1.5 meters.
The Rectangle is enlarged by increasing the length and width by 20%.
<u>To find the enlarged length :</u>
The original length 5.4 is increased by 20%.
⇒ (20/100) × 5.4
⇒ 0.2 × 5.4
⇒ 1.08
- The 20% of the length is 1.08
- The enlarged length is 5.4 + 1.08 = 6.48 meters.
<u>To find the enlarged width :</u>
The original width 1.5 is increased by 20%.
⇒ (20/100) × 1.5
⇒ 0.2 × 1.5
⇒ 0.3
- The 20% of the width is 0.3
- The enlarged width is 1.5 + 0.3 = 1.8 meters.
The perimeter of the enlarged rectangle is found by substituting the enlarged values of length and width in the perimeter formula.
Perimeter of the enlarged rectangle = 2 (length + width)
⇒ 2 (6.48 + 1.8)
⇒ 2 × 8.28
⇒ 16.56 meters.
∴ The perimeter of the enlarged garden is 16.56 meters.
Answer:
x ≤ -12
Step-by-step explanation:
To get x by itself you simply multiply both sides by 4, since 1/4 * 4 = 1.
Answer:
1 m³
Step-by-step explanation:
first find volume of smaller cubes
V = lwh
S = 1/3*1/3*1/3
S = 1/27
find volume of large cube. there are 27 smaller cubes.
V = 27S
V = 27(1/27)
V = 1
S: volume of small cube
V: volume of large cube
