Question

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

Answer 1

Answer:

abe

Step-by-step explanation:

Answer 2

Answer:

B, C, D

Step-by-step 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.