Answer:
24:8
Step-by-step explanation:
Given the following data;
Batch = eggs + sticks of butter
4 batches = 12:4
8 batches = 2 * 4 batches
Therefore, 8 batches = 2*(12:4)
8 batches = 24:8
Hence, the equivalent ratio Sierra would use if she wants to make 8 batches is 24 eggs to 8 sticks of butter.
Answer:
12 cm
Explanation:
From
Pythagoras Theorem
h
2
=
a
2
+
b
2
where
h =
Length of hypotenuse side
a =
Length of one leg
b =
Length of another leg
(
20 cm
)
2
=
(
16 cm
)
2
+
b
2
b
2
=
(
20 cm
)
2
−
(
16 cm
)
2
b
=
√
(
20 cm
)
2
−
(
16 cm
)
2
b
=
√
400 cm
2
−
256 cm
2
b
=
√
144 cm
2
b = 12 cmStep-by-step explanation:
Answer:
12s² + 11st - 2t²
Step-by-step explanation:
Each term in the second factor is multiplied by each term in the first factor, that is
- 3s(4s - t) + 2t(4s - t) ← distribute both parenthesis
= - 12s³ + 3st + 8st - 2t² ← collect like terms
= - 12s² + 11st - 2t²
F(x) = 4x + 7
g(x) = 3x²
(f · g)(x) = 3x²(4x + 7)
(f · g)(x) = 3x²(4x) + 3x²(7)
(f · g)(x) = 12x³ + 21x²
