MATH SOLVE

3 months ago

Q:
# I need help! Will mark Brainliest for full answer!!! -y varies inversely with x. If y = 3 and k (the constant of variation) = 33, what is x?Round to the nearest whole number, if necessary.-y varies inversely with x. When y = 11, x = 5.2. What is the value of k, the constant of inverse variation?Round to the nearest tenth, if necessary.-y varies inversely with x, and k (the constant of variation) = 72. What is the value of y when x = 7.8?Round to the nearest tenth, if necessary.-y varies inversely with x. If y = 8 and k (the constant of variation) = 19, what is x?Round to the nearest thousandth, if necessary.-y varies inversely with x, and k (the constant of variation) = 23. What is the value of y when x = 7?Round to the nearest tenth, if necessary.-y varies inversely with x. When y = 6.7, x = 1. What is the value of k, the constant of inverse variation?Round to the nearest tenth, if necessary.-y varies inversely with x. When y = 9.6, x = 12. What is the value of k, the constant of inverse variation?Round to the nearest tenth, if necessary.-y varies inversely with x, and k (the constant of variation) = 5.6. What is the value of y when x = 4?Round to the nearest tenth, if necessary.

Accepted Solution

A:

Answer:Part 1) [tex]x=11[/tex]Part 2) [tex]k=57.2[/tex] Part 3) [tex]y=9.2[/tex]Part 4) [tex]x=2.375[/tex]Part 5) [tex]y=3.3[/tex]Part 6) [tex]k=6.7[/tex]Part 7) [tex]k=115.2[/tex]Part 8) [tex]y=1.4[/tex]Step-by-step explanation:we know thatA relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]Part 1) y varies inversely with x. If y = 3 and k (the constant of variation) = 33, what is x? we have [tex]y*x=k[/tex] [tex]y=3[/tex] [tex]k=33[/tex]substitute and solve for x [tex]3*x=33[/tex]Divide by 3 both sides [tex]x=33/3[/tex] [tex]x=11[/tex]Part 2) y varies inversely with x. When y = 11, x = 5.2. What is the value of k, the constant of inverse variation?we have [tex]y*x=k[/tex] [tex]y=11[/tex] [tex]x=5.2[/tex]substitute and solve for k [tex]11*5.2=k[/tex] [tex]k=57.2[/tex] Part 3) y varies inversely with x, and k (the constant of variation) = 72. What is the value of y when x = 7.8?we have [tex]y*x=k[/tex] [tex]x=7.8[/tex] [tex]k=72[/tex]substitute and solve for y [tex]y*7.8=72[/tex]Divide by 7.8 both sides [tex]y=72/7.8[/tex] [tex]y=9.2[/tex]Part 4) y varies inversely with x. If y = 8 and k (the constant of variation) = 19, what is x?we have [tex]y*x=k[/tex] [tex]y=8[/tex] [tex]k=19[/tex]substitute and solve for x [tex]8*x=19[/tex]Divide by 8 both sides [tex]x=19/8[/tex] [tex]x=2.375[/tex]Part 5) y varies inversely with x, and k (the constant of variation) = 23. What is the value of y when x = 7?we have [tex]y*x=k[/tex] [tex]x=7[/tex] [tex]k=23[/tex]substitute and solve for y [tex]y*7=23[/tex]Divide by 7 both sides [tex]y=23/7[/tex] [tex]y=3.3[/tex]Part 6) y varies inversely with x. When y = 6.7, x = 1. What is the value of k, the constant of inverse variation?we have [tex]y*x=k[/tex] [tex]y=6.7[/tex] [tex]x=1[/tex]substitute and solve for k [tex]6.7*1=k[/tex] [tex]k=6.7[/tex]Part 7) y varies inversely with x. When y = 9.6, x = 12. What is the value of k, the constant of inverse variation?we have [tex]y*x=k[/tex] [tex]y=9.6[/tex] [tex]x=12[/tex]substitute and solve for k [tex]9.6*12=k[/tex] [tex]k=115.2[/tex]Part 8) y varies inversely with x, and k (the constant of variation) = 5.6. What is the value of y when x = 4?we have [tex]y*x=k[/tex] [tex]x=4[/tex] [tex]k=5.6[/tex]substitute and solve for y [tex]y*4=5.6[/tex]Divide by 4 both sides [tex]y=5.6/4[/tex] [tex]y=1.4[/tex]