Ryan has 1,500 yards of yarn. He wants to knit at least 2 scarves and at least 3 hats. Each scarf requires 300 yards of yarn, and each hat requires 120 yards of yarn. If s represents the number of scarves and h represents the number of hats, which of the following systems of inequalities represents this situation? s+h≤1,500s≥2h≥3

2s+3h≤1,500s≥2h≥3

2s+3h≤1,500s≥300h≥120

300s+120h≤1,500s≥2h≥3

560

step-by-step explanation:

giggidy

step-by-step explanation:

circumference divided by 3.141592654 then timesthe radius twice

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

12

step-by-step explanation:

12 + 5 = 17

12x2=24

24-7=17