HP 1.Use the distributive property to write the following algebraic expression as the sum of two terms.

(x +7)(5)

A x + 12

B x + 35

C 5x + 35

D 5x + 12y

2. Rewrite the following expression as the product of two factors. (one factor will be the GCF)

42 + 30

A 72

B 6( 7 + 5)

C 2(21+ 10)

D 7(6 + 5)

Acompany produces packets of soap powder labeled “giant size 32 ounces.” the actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. to avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. to avoid losing money, it labels the top 5% (the heaviest 5%) overweight. how heavy does a box have to be for it to be labeled overweight?

Apolygon is shown on the graph: a polygon is shown on the coordinate plane. vertices are located at 3 comma 5, 1 comma 3, 1 comma 1, 2 comma 0, 4 comma 0, 5 comma 1, and 5 comma 3. what effect will a translation 3 units down and 2 units left have on the polygon? be sure to address how it could impact the angles, side lengths, and congruency between the original pre-image and the image. xd i need

Can you divide 25 into 4 equal groups? explain why or why not.