Mrs. Wyatt mixes 8 tbsp of hot sauce with 3 cups of salsa in a bowl. Ms. Sherman mixed 12 tbsp of hot sauce with 4 cups of salsa in a bowl. Which salsa mixture is hotter/spicer?

Answer

Mrs. Wyatt's mixture

Step-by-step explanation:

So, Mrs. Wyatt's mixture as a fraction is 3/8 and Mr. Sherman's is 4/12.

We want to get a fraction for both of them with the same denominator, so you multiply 8 by 12, which gives you 96 as the denominator for both fractions.

Next you need to find the numerator, so lets find Mr. Sherman's first. You want to multiply 4 by 8, which gives you 32, so Mr. Sherman's mix is 32/96.

Next we want to find Mrs. Wyatt's numerator. SO we do 3 times 12 which gives us 36, so Mrs. Wyatt's mix is 36/96.

36.96 is a greater fraction than 32/96 so Mrs. Wyatt's mix is hotter than Mr. Sherman's mix.

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

300pi

step-by-step explanation: