Question

Which expressions are equivalent to 35+30s-45t35+30s−45t35, plus, 30, s, minus, 45, t?

Choose 2 answers:
Choose 2 answers:

(Choice A)
A
7\cdot(5+30s-45t)7⋅(5+30s−45t)7, dot, left parenthesis, 5, plus, 30, s, minus, 45, t, right parenthesis

(Choice B)
B
5(7+6s-9t)5(7+6s−9t)5, left parenthesis, 7, plus, 6, s, minus, 9, t, right parenthesis

(Choice C)
C
(-35-30s+45t)\times(-1)(−35−30s+45t)×(−1)left parenthesis, minus, 35, minus, 30, s, plus, 45, t, right parenthesis, times, left parenthesis, minus, 1, right parenthesis

(Choice D)
D
10\times(3.5+3s-4.5)10×(3.5+3s−4.5)10, times, left parenthesis, 3, point, 5, plus, 3, s, minus, 4, point, 5, right parenthesis

(Choice E)
E
\left(\dfrac{35}{2}-15s+\dfrac{45}{2}t\right)\cdot(-2)(
2
35
​
−15s+
2
45
​
t)⋅(−2)

Answer 1

abe

Explanation:

Answer 2

B, C, D

Explanation:

Given expression
`35+30s-45t`

Note that

`35=5\cdot 7\\ \\30=5\cdot 6\\ \\45=5\cdot 9`

Use distributive property:

`35+30s-45t\\ \\=5\cdot 7+5\cdot 6s-5\cdot 9t\\ \\=5(7+6s-9t)`

Thus, choice B is true.

Rewrite given expression in following way:

`35+30s-45t\\ \\=-(-35)-(-30s)+(-45t)\\ \\-(-1)\cdot 35-(-1)\cdot 30s+(-1)\cdot 45t\\ \\=(-35-30s+45t)\cdot (-1)`

Thus, choice C is true.

Rewrite given expression in following way:

`35+30s-45t\\ \\=10\cdot 3.5+10\cdot 3s-10\cdot 4.5t\\ \\=10\cdot (3.5+3s-4.5t)`

Thus, choice D is true.