at a hot dog stand they serve regular and footlong hot dogs at a ratio of 5 to 3 based on this ratio how many footlongs hot dogs will be served there is a total of 120 hot dogs served. A. 45 footlong hot dogs, B. 75 footlong hot dogs, C. 72 footlong hot dogs

45

Step-by-step explanation:

Ratio is 5:3

So total ratio "parts" is 5 + 3 = 8

In total there are 120 dogs served, so each part is:

120/8 = 15 dogs

Since, footlong hot dogs are "3" parts, and each part is 15 dogs, there will be:

3 * 15 = 45 footlong hotdogs

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

45.36 feet per second

step-by-step explanation:

tyrone travels 30 miles in 58.2 minutes.  

1 mile = 5280 feet; this means he travels

30(5280) = 158400 feet in 58.2 minutes.

1 minute = 60 seconds; this means he travels 158400 feet in

58.2(60) = 3492 seconds.

this gives us the unit rate of

158400/3492 = 45.36 feet per second.