8/ (1 1/2) = 36/x....8 muffins to 1 1/2 tsp = 36 ( 3 doz) muffins to x tsp
this is a proportion, so we cross multiply
(8)(x) = (1 1/2)(36)
8x = 3/2 * 36
8x = 108/2
8x = 54
x = 54/8
x = 6 3/4 <=== 6 3/4 tsps are needed to make 3 doz muffins
Answer:
No. The amounts of change are the same, but the original amounts are different.
Answer:
Step-by-step explanation:
x+y=17 is NOT the equation for any circle. You have omitted the exponents. The equation for the circle should be
x^2 + y^2 = 17.
:::::
Plug the coordinates of D into the equation.
(-4)² + (-1)² = 17, so D is on the circle.
Plug the coordinates of E into the equation.
1² + 4² = 17, so E is on the circle.
:::::
Slope of DE = (-1 - 4)/(-4 - 1) = 1
Slope of perpendicular to DE is -1.
Midpoint of DE: ((-4+1)/2, (-1+4)/2) = (-1.5, 1.5)
Point-slope equation for perpendicular bisector:
y-1.5 = -(x+1.5)
y = -x
:::::
Center of circle is (0,0)
0 = -0, so y=-x passes through the center.
Answer:
Shown Below
Step-by-step explanation:
Alright so first off we are going to use the little 67 on that corner. We know that it's a supplementary angle, and supplementary angles add up to 180.
180 - 67 = 113.
Inside angles of a triangle all add up to 180. Using that we can create the equation:
(x + 27) + x + 113 = 180
simplify.
2x + 140 = 180
subtract 140 on both sides.
2x = 40
divide both sides by 2
x = 20
substitute x into the asked equation.
(20 + 27) = 47
47 is your answer.
Answer:
52 hours
Step-by-step explanation:
Given that it takes 15 orders every 5 hours.
With that we can find that it takes 3 orders every hour. Using that we can find that in 52 they would have shipped 156 orders
With that we find that the answer is 52 hours
