It takes 10 pounds of potatoes to make 15 pounds of mashed potatoes. At this rate: How many pounds of potatoes are needed to make 50 pounds of mashed potatoes?

Step-by-step explanation:

You need to set up a proportion.

10 pounds of potatoes/15 pounds of mashed potatoes

Before going on notice that the potatoes are on the top part of the fraction and the mashed potatoes are on the bottom. The right hand side of the proportion must be the same.

10 pounds potatoes/15 pounds mashed = x pounds / 50 pounds mashed.

The raw potatoes are on the top, The mashed is on the bottom. It's always like that.

The second step is to cross multiply.

10 / 15 = x / 50          Cross miultiply

10*50 = 15 * x            Combine the left

500 = 15x                  Divide by 15

500/15 = x

x = 33.33

529 and 531

step-by-step explanation:

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.