Without working out the multiplication, which product is larger, why? 3 × 1/5 or 3 × 1/10

The product that will be larger is 3x1/5

Step-by-step explanation:

So in order to know this we have to look at the fractions. We already know that 1/5 is larger than 1/10. To double check our work, we can convert these fractions into percents. 1/5 being 20% and 1/10 being 10%. So now that we have prooved 1/5 is larger, multiplying the larger fraction by three will give us a larger product.

Hope this helped ;)

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: