Answer:
Division Property of Equality
Step-by-step explanation:
→In Step 4, it is shown that the equation is:
3x = 30
→However, to solve for x, you must get it by itself. This means you need to get rid of the 3 that's being multiplied. So since the 3 is being multiplied to x, you must do the opposite of multiplication, which is division.
→As you can see, the total of 30 is decreased in Step 5, since it has been divided by 3, giving you a total of 10.
This shows that the property of equality that yields Step 5 is the <u>Division Property of Equality.</u>
Answer:
The longer piece will be 10 feet long.
Step-by-step explanation:
16 - 10 is 6
10 is 4 more than 6
therefore the longer piece will be 10 feet long
Answer:
The answer is not in the options, it is 67.5
Step-by-step explanation:
135/2 = 67.5
Answer:
5.44 cm³
Step-by-step explanation:
The volume of the hexagonal nut can be found by multiplying the area of the end face by the length of the nut. The end face area is the difference between the area of the hexagon and the area of the hole.
The area of a hexagon with side length s is given by ...
A = (3/2)√3·s²
For s=1 cm, the area is ...
A = (3/2)√3(1 cm)² = (3/2)√3 cm²
__
The area of a circle is given by ...
A = πr²
The radius of a circle with diameter 1 cm is 0.5 cm. Then the area of the hole is ...
A = π(0.5 cm)² = 0.25π cm²
__
The volume is the face area multiplied by the length, so is ...
V = Bh = ((3/2)√3 -0.25π)(3) . . . . . cm³
V = (9/2)√3 -0.75π cm³ ≈ 5.44 cm³
The volume of the metal is about 5.44 cm³.
Answer:
-94%, -0.925, -9/10, -8/9
Step-by-step explanation:
-94% = -0.94
-8/9 = -0.89
-9/10 = -0.90
Since the values are negative the order is opposite then if they were all positive.
