Answer:
a₁₅₇ = 1,088
Step-by-step explanation:
aₙ = a₁ + d(n-1); where 'd' if common difference
a₁₅₇ = -4 + 7(156)
= -4 + 1092
= 1,088
8x - 23 because you answer them until you have it all simplified
Answer:
46.2 square inches
Step-by-step explanation:
A parallelogram is a quadrilateral (4 sided closed figure) with 2 pair of parallel sides.
The diagram shown is a parallelogram.
Top and Bottom are parallel lines,
both sides are parallel lines (left and right).
The area for a parallelogram is given by:
Area = Base * Height
In the given figure, the base is clearly given as 4.2 inches
The height (perpendicular distance from base) is given as 11 inches.
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<em><u>So, basically we do not need the 11.7 inches length of side given.</u></em>
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Now, lets compute the area:
Area = base * height = 4.2 * 11 = 46.2 square inches
The solution for this problem is:
The population is 500 times bigger since 8000/24 = 500. The population after t days is computed by:P(t) = P₀·4^(t/49)
Solve for t: 8000 = 8·4^(t/49) 1000 = 4^(t/49) log₄(1000) = t/49t = 49log₄(1000) ≅ 244 days
Answer:
24 munchkins.
Step-by-step explanation:
Let C be the number of chocolate and D be number of glazed donut holes in the original box.
We are told if Jacob ate 2 chocolate munchkins, then 1/11 of the remaining Munchkins would be chocolate. We can represent this information as:
We are also told if he instead added 4 glazed Munchkins to the original box, 1/7 of the Munchkins would be chocolate. We can represent this information as:
Upon substituting C's value from equation (2) in equation (1) we will get,
Let us have a common denominator on right side of equation.
Multiplying both sides of our equation by 7, we will get,
Multiplying both sides of our equation by 11, we will get,
Therefore, the total number of Munchkins in original box is 24.
