2/5 tablespoons of vanilla extract ... 6 muffins
x tablespoons of vanilla extract = ? ... 18 muffins
If you would like to know how much vanilla extract does he need, you can calculate this using the following steps:
x * 6 = 18 * 2/5
x * 6 = 36/5 /6
x = 36/5 / 6
x = 6/5 = 1 1/5
Result: Arthur will need 1 1/5 tablespoons of vanilla extract for 18 muffins.
Answer:
0.38268343
Step-by-step explanation:
cos(
67.5
)
Rewrite
67.5
as an angle where the values of the six trigonometric functions are known divided by 2
.
cos
(
135\
2)
Apply the cosine half-angle identity.
±
√
1
+
cos
(
135
)
2
Change the
±
to
+
because cosine is positive in the first quadrant.
√
1
+
cos
(
135
)
2
Simplify
√
1
+
cos
(
135
)
2
√
2
−
√
2
2
The result can be shown in multiple forms.
Exact Form:
√
2
−
√
2
2
Decimal Form:
0.38268343
…
Answer:
Step-by-step explanation:
From the problem statement, we can setup the following equations:
where 
is the current age of Shobos and 
is the current age of his mother.
Substituting the first equation into the second will allow us to solve for :
Substituting this value into the first equation gives us the age of the mother:
Answer:
-7.5 x 10^1
Step-by-step explanation:
subtract numbers and exponents and make sure that number is between 1 and 10.
Answer:
x=0, y=-5
Step-by-step explanation:
The system is
(1) 5x+3y=-15
(2) -8x-2y=10
Let's solve it by elimination. In order to do it, you have to multiply the equations by suitable numbers in such a way that when you add the 2 equations, one of the unknowns is eliminated
Multiply (1) by 2 and (2) by 3
(1) 10x+6y=-30
(2) -24x-6y=30
Add the two equations
10x-24x+6y-6y=-30+30 ----> -14x=0---->x=0
Now replace this value in any equation, for example in (1)
6y=-30 ----> y=-30/6----> y=-5
