The table below shows the amount of lemon juice and sugar needed to make three different-sized batches of lemonade using the same recipe. Lemon juice (\text{mL}mLstart text, m, L, end text) Sugar (\text{g}gstart text, g, end text)
Batch A 500500500 200200200
Batch B 750750750 300300300
Batch C 150015001500 600600600
Write an equation to describe the relationship between jjj, the amount of lemon juice in \text{mL}mLstart text, m, L, end text, and sss, the amount of sugar in \text{g}gstart text, g, end text.

You are responsible for designing a new city. you are inspired by pierre charles l'enfant, who laid out the streets of our nation's capital. numbered streets run north and south, and lettered streets run east and west. avenues are named after states, and they intersect the streets on a diagonal. the streets are parallel and the intersections form similar triangles. 18th st. is 454 meters long and the intersection of 18th and k st. is 207 meters from connecticut ave. if 19th st. and k st. is 385 meters from connecticut ave., what is the length of 19th st.?

X+ y = 5 ; x - y =3 solve using linear combination

A3-dimensional figure has a square base and 4 lateral faces that meet at a point. explain the difference between the cross sections when a slice is made perpendicular to the base through the vertex, and when a slice is made perpendicular to the base and not through the vertex