Answer:
-15
Step-by-step explanation:
In pic
(hope this helps can I pls have brainlizt (crown) ☺️)
A fort had enough food for 80 soldiers for 60 days .How long would the food last if 20 more soliders join after 15 days ?
2 answers:
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Answer with explanation:
Properties of Parallelogram
1. Opposite sides are equal and parallel.
2. Diagonals bisect each other.
3. opposite angles are equal.
We will use second property to find coordinates of Vertex P of this parallelogram.
Mid point formula,
The mid point of line segment joining two points, (a,b) and (c,d)=(x,y) is given by,
Let coordinates of P be (m,n).
So, Coordinates of vertex P of the parallelogram is (m,n)=(b+c-a,d) .
Option B
Answer:
a₁₅ = 30
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₅ = 10 and a₁₀ = 20 , then
a₁ + 4d = 10 → (1)
a₁ + 9d = 20 → (2)
Subtract (1) from (2) term by term to eliminate a₁
5d = 10 ( divide both sides by 5 )
d = 2
Substitute d = 2 into (1) and solve for a₁
a₁ + 4(2) = 10
a₁ + 8 = 10 ( subtract 8 from both sides )
a₁ = 2
Then
a₁₅ = 2 + (14 × 2) = 2 + 28 = 30
Answer:
Step-by-step explanation:
Linear equation:
A linear function has the following format:
In which m is the slope and b is the y-intercept.
When she plants 30 stalks, each plant yields 31 oz of beans. When she plants 36 stalks, each plant produces 29 oz of beans.
This means that these two points belong to the line: (30,31), (36,29).
Finding the slope:
When we have two points, the slope is given by the change in the output divided by the change in the input.
Change in the output: 29 - 31 = -2
Change in the input: 36 - 30 = 6
Slope:
Thus
Finding b:
We take one of the points and replace on the equation.
(30,31) means that . Thus
Thus