Answer: (–1)(525) and (35)(–15) are equivalent to (- 7) (-15) (- 5)
Step-by-step explanation:
Given (- 7) (-15) (- 5)
To Find : Which two expressions that are equivalent (- 7) (-15) (- 5)
(–7)(–75) and (–1)(525)
(–1)(525) and (35)(–15)
(35)(–15) and (115)(–5)
(–1)(525) and (115)(–5)
Solution:
(- 7) (-15) (- 5)
= (105)(-5)
= - 525
(–7)(–75) and (–1)(525)
= 525 & - 525
not Equal
(–1)(525) and (35)(–15)
= -525 and - 525
Both Equal to (- 7) (-15) (- 5)
(35)(–15) and (115)(–5)
= -525 and - 575
not Equal
(–1)(525) and (115)(–5)
= -525 and - 575
not Equal
(–1)(525) and (35)(–15) are equivalent to (- 7) (-15) (- 5)
The pair of expressions equivalent to (Negative 7) (Negative 15) (Negative 5) are (Negative 7) (Negative 75) and (Negative 1) (525) because both pair of expressions result in -525.
The question asks which pair of expressions are equivalent to the expression (Negative 7) (Negative 15) (Negative 5). For this, we need to remember the rule in mathematics that the multiplication of two negative numbers gives a positive result and the multiplication of three negative numbers gives a negative result.
So, (Negative 7) (Negative 15) (Negative 5) equals to -7*15*5 = -525. Now, among the given options, the pair of expressions that are equivalent to -525 are (Negative 7) (Negative 75) and (Negative 1) (525), because -7*75 also equals -525, and -1*525 equals -525 as well.
Therefore, the pairs of expressions equivalent to (Negative 7) (Negative 15) (Negative 5) are (Negative 7) (Negative 75) and (Negative 1) (525).
#SPJ11