Answer:
infinite solutions
Step-by-step explanation:
replace x with 3y + 9 in the second equation
9 - (3y + 9) = -3y ➡ 9 -3y -9 = -3y ➡9-9 = 3y-3y ➡ 0 = 0
this means whatever numver you write instead of y there will be a solution.
Answer:
$19 for one package of oatmeal cookie dough and $14 for one package of chocolate chip cookie dough
Step-by-step explanation:
We need to set up two equations: one that shows how much money Mike made and one that shows how much money Shawna made.
Let's make a = price for one chocolate chip cookie dough and b = price for one oatmeal cookie dough.
First equation for Mike: 12a + 3b = 225
Second equation for Shawna: 6a + 11b = 293
Next we isolate b from Mike's equation: b = 75 - 4a
Then we plug this equation into Shawna's equation and we get:
6a + 11(75 - 4a) = 293
Solving for a would get us 14, or $14 for one chocolate chip cookie dough.
If we plug 14 = a into Mike's original equation and solve for b, we get b = 19, or $19 for one oatmeal cookie dough.
Hope this helped!
The answer is
4(2)+41=2+5
49
X=2
V = 36 pi centimeters cubed
Answer:
BC ≈ 4.0
Step-by-step explanation:
∠ DCA = 180° - 70° = 110° ( adjacent angles )
∠ DAC = 180° - (30 + 110)° ← sum of angles in triangle
∠ DAC = 180° - 140° = 40°
Using the Sine rule in Δ ACD to find common side AC
= 
( cross- multiply )
AC × sin40° = 15 × sin30° ( divide both sides by sin40° )
AC = 
≈ 11.668
Using the cosine ratio in right triangle ABC
cos70° = 
= 
= 
( multiply both sides by 11.668 )
11.668 × cos70° = BC , then
BC ≈ 4.0 ( to the nearest tenth )
