Here another question on my math quiz "Lucas is making one dozen snacks for his team. He uses 1/4 cup of dried cherries and 2/4 cup of dried apricots for each snack. How many cups of dried fruit does Lucas need for his one dozen snacks?" please help me ASAP

3 cups of dried cherries and 6 cups of drief apricots.

Step-by-step explanation:

one dozen is 12. So,

substitute 1 in 1/4 to 12/4, and 2 in 2/4 to 24/4.

i said 24 for the last one since 2×12=24. so, now we just devide

12/4=3 and 24/4=6. so you'd need 3 cups of dried cherries and 6 cups of dried apricots total.

hi there!

step-by-step explanation:

a roof pitch is basically for every inch rise there is 12 inches run.

the height of the roof is also known as the rafter.

formula: rafter^2 = rise^2 + run^2

rafter^2 = 5^2 + 12^2

rafter^2 = 25 + 144

rafter ^2 = 169"^2

the height of the roof from the lowest point to the highest point is 169"^2.

hope this : )

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0