(ratios) a food company that produces peanut butter decides to try out a new version of its peanut butter that is extra crunchy, using twice the number of peanut chucks as normal. the company hosts a sampling of its new product at grocery stores, and finds that 5 out of every 9 customers prefer the new extra crunchy version.
let's use the value of each ratio to make a multiplicative comparisons for each of the ratios we described here.
1) the number preferring new extra crunchy is of the total number serveyed
2) the number preferring regular crunchy is of the total number serveyed.
3)the number preferring regular crunchy is of those preferring new extra crunchy
4) the number preferring new extra crunchy is of those preferring regular crunchy.

Evaluate the expression for the given value of the variable 2×(c2-5) for c=4

Rob spent 25%, percent more time on his research project than he had planned. he spent an extra h hours on the project. which of the following expressions could represent the number of hours rob actually spent on the project? two answers

Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality