Answer:
Associative Property
Step-by-step explanation:
3x + (2x + 4) is equivalent to (3x + 2x) + 4
because there is no change of signs taking place as there is no (-) sign in front of the brackets
3x + (2x + 4) | (3x + 2x) + 4
3x + 2x + 4 | 3x + 2x +4
5x + 4 | 5x + 4
1. +16
2. -11
3. -6
4. 9
5. 8
6. 5
7. Simply place dots on the numbers stated, which are 11, -5, and -8.
8. The absolute value of a non-zero number is positive because absolute value is a magnitude, and is either positive or zero. The absolute value of any non-zero number can be thought of as its distance from zero, which will always be positive.
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Answer:
2044 cubic inches
Step-by-step explanation:
The amount of concrete required is the larger volume MINUS the smaller volume.
Note: Volume of cube = s^3 where s is the side length
Larger Volume = s^3 = 15^3 = 3375
and
Smaller Volume = s^3 = 11^3 = 1331
Hence, amount of concrete needed to make 1 planter = 3375 - 1331 = 2044 cubic inches
Answer:
The total number of boys = 105
Step-by-step explanation:
The ratio of boys to girls = 3: 4
⇒ For every 3 boys, there are 4 girls.
Now, total number of students = 245
Let the common ratio of boys to girls is k.
So, 3k + 4k = 245
or , 7k = 245
⇒ k = 245/7 = 35
⇒ k = 35
Hence, the number of boys = 3k = 3 x 35 = 105
and number of girls = 4k = 4 x 35 = 140
