Which list shows the absolute values in order from least to greatest? select each correct answer. ∣∣−1/10∣∣ , ∣∣−4/5∣∣ , ∣∣7/10∣∣ ∣∣−2/3∣∣ , ∣∣−5/9∣∣ , ∣∣2'9∣∣ ∣∣−3/8∣∣ , ∣∣3/4∣∣ , ∣∣−7/8∣∣ ∣∣−5/14∣∣ , ∣∣−4/7∣∣ , ∣∣6/7∣∣

∣∣−5/14∣∣ , ∣∣−4/7∣∣ , ∣∣6/7∣∣

Step-by-step explanation:

The other of the absolute values of the given fractions from least to the greatest can be calculated by converting each individual fractions to percentage first to know the least value and the highest value.

Looking at the last option

∣∣−5/14∣∣ , ∣∣−4/7∣∣ , ∣∣6/7∣∣

The fractions will be written as percentage first. All negative values will be expressed as positive values since they are inside a modulus sign. Modulus converts all negative values to positive values. Hence;

∣∣−5/14∣∣ = 5/14

5/14× 100 = 500/14

= 35.7%

∣∣−4/7∣∣ = 4/7

4/7 × 100 = 400/7

= 57.15%

∣∣6/7∣∣ = 6/7

6/7× 100 = 600/7

= 85.71%

Based on their percentages, which are 35.7%, 57.15%, 85.71%, it can be concluded that the absolute values

∣∣−5/14∣∣ , ∣∣−4/7∣∣ , ∣∣6/7∣∣ are arranged from least to the greatest.

the correct answer is you spend $55.78 more in a brand store that buy ing in a normal store.

step-by-step explanation:

brand = spend   $ 135.85 total

store = spend $80.07 total

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4