Answer:
12 eggs
Step-by-step explanation:
Number of eggs Ming needed to make 30 cookies = 3 eggs
We need to find how many eggs does he need to make 120 cookies. We can solve this problem by unity method i.e. find the quantity of egg needed for 1 cookie and then multiplying it by 120 to get the number of eggs needed for 120 cookies.
Number of eggs Ming needed to make 30 cookies = 3 eggs
Dividing both sides by 30, we can write:
Number of eggs Ming needed to make 1 cookie = eggs
Multiplying both sides by 120, we can write:
Number of eggs Ming needed to make 120 cookies = eggs
This means, Ming needs 12 eggs to make 120 cookies according to his recipe.
Answer:
Option 4 is the correct answer 48x⁹ - 72x⁷ + 36x⁵
Step-by-step explanation:
The given expression is,
9x⁵ + 3x(4x⁴ - 3x²)²
<u>To find (4x⁴ - 3x²)</u>²
(a + b)² = a² + 2ab + b²
<u>(4x⁴ - 3x²)</u>² = (<u>4x⁴ )</u>² - 2*<u>4x⁴*3x² + (3x²)</u>²
= 16x⁸ - 24x⁴⁶+ 9x⁴
<u>To find 3x(4x⁴ - 3x²)²</u>
(4x⁴ - 3x²)² =16x⁸ - 24x⁶+ 9x⁴
3x(4x⁴ - 3x²)² = 3x(16x⁸ - 24x⁶+ 9x⁴ ) = 48x⁹ - 72x⁷ +27x⁵
<u>To find 9x⁵ + 3x(4x⁴ - 3x²)²</u>
3x(4x⁴ - 3x²)² = 48x⁹ - 72x⁷ +27x⁵
9x⁵ + 3x(4x⁴ - 3x²)² = 9x⁵+ 48x⁹ - 72x⁷ +27x⁵ = 48x⁹ - 72x⁷ +36x⁵
Therefore the option 4 is the correct answer
We know that
[volume of cylinder]=pi*r²*h------------> h=[volume of cylinder]/(pi*r²)
Volume=5652 cm³
r=7.5 cm
so
h=[5652]/(3.14*7.5²)-----------> h=32 cm
<span>the height of the soap in the full dispenser is 32 cm
</span><span>the height when 4,239 cubic centimeters of soap remains in the dispenser is
</span>h=[4239]/(3.14*7.5²)-----------> h=24 cm
hence
<span>the difference is 32-24--------> 8 cm
</span>
the answer is
8 cm
From C you draw a parallel to AB. From left to right name the angles:
C₁, C₃ and C₂
∠C₁ = ∠A₁ (interior alternate)
∠C₃ = ∠C₃
∠C₂ = ∠B₂ (interior alternate), but ∠C₁ + ∠C₃ + ∠C₂ = 180° (straight line),
Then: ∠A₁ + ∠C₃ + ∠B₂ = 180°
Answer: The answer is C 5/8 yards
Step-by-step explanation: