Answer:
B: 610; A: 202,000
D: 253; C: 2,007,000
Step-by-step explanation:
These are all expressions that can be calculated as is, or that can be simplified a little bit by taking advantage of the distributive property and other properties of addition and multiplication. The idea is to look for numbers that show up more than once, and rearrange the expression so they only show up once.
__
<h3>B = (597 -176) +(13 +176)</h3>
This is a straight addition problem. The two "176" values have opposite signs, so cancel when they are added. Using the associative and commutative properties of addition, we can rearrange this to ...
597 +13 +(-176 +176)
= 597 +13
This can further be rearranged to ...
= (597 +3) +(13 -3)
= 600 +10
= 610
__
<h3>A = 2020×173 -2020×73</h3>
The factor 2020 can be put outside parentheses using the distributive property:
= 2020(173 -73)
= 2020×100
= 202,000
__
<h3>D 17×15 -15 +13</h3>
The value 15 is repeated. Terms using it can be combined using the distributive property.
= 15(17 -1) +13
= 15(16) +13
= 240 +13
= 253
Another way to look at this one is to use the factoring of the difference of squares.
= (16 +1)(16 -1) +(-15 +13)
= 16² -1² +(-2)
= 256 -3
= 253
__
<h3>C 2019×890 -(12000 -2019×110)</h3>
Again, we can focus on rearranging so 2019 only needs to show up once.
= 2019(890 +110) -12000
= 2019×1000 -12×1000
= (2019 -12)×1000
= 2,007,000
We already have our numerator and denominator. All we need to do now is simplify.
550/77000
275/3500
Vic owns 275/3500 shares of a company.
If you need help comment below and ill try my best to help you out!
Answer:
i would help but there is no equation so i cant find the answer
Step-by-step explanation:
A is the right answer
This is because when plugged into each of the expressions, the both equal the same thing. Which means that this proves that the two hypotenuses are congruent, proving the triangles congruent by HL. <span />
