Answer:
First, let's define an arithmetic sequence:
In an arithmetic sequence, the difference between any two consecutive terms is always the same.
Then we can write it in a general way as:
aₙ = a₁ + (n - 1)*d
where:
aₙ is the n-th term of the sequence.
d is the constant difference between two consecutive terms.
a₁ is the initial term of our sequence.
Now in this case we know that the first terms of our sequence are:
84, 77, ...
Then we know the initial term of our sequence:
a₁ = 84.
And the value of d can be calculated as:
d = a₂ - a₁ = 77 - 84 = -7
Then the general way of writing this sequence is:
aₙ = 84 + (n - 1)*(-7)
And the recursion relation is:
aₙ = aₙ₋₁ - 7
So for the n-th term, we must subtract 7 of the previous term.
Answer:
B
Step-by-step explanation:
one half lb divided by 7 people will equal one fourteenth
We need to find the surface area of the solid.
Since it's formed by cubes with edges of 1 meter, each square on the surface of the solid has an area equal to:
Thus, to find its surface area, we need to count the number of squares on its surface, and then multiply this number by 1 meter².
We can see that this solid has two equal latera surfaces (right and left). Each one of them has 17 squares.
Also, the number of squares on the horizontal surfaces is the same on the top and bottom of the solid. Each one of them has 10 squares.
And the vertical surfaces on the front and back of the solid have the same number of squares: 8 squares each.
Then, adding those quantities and multiplying the result by two, we find the total number of squares on the surface of the solid:
Therefore, the surface area of the solid is 70 m².
You and 6 of your friends. Total of 7 people.
The answer is D.) 7! ; 5,040
The answer is 450 ml.
First, we need to solve x (the amount of orange juice):
<span>x + (x + 100) + one half x = 1850
</span>x + x + 100 + 1/2 x = 1850
We can represent 1/2 as 0.5:
2x + 100 + 0.5x = 1850
2.5x = 1850 - 100
2.5x = 1750
x = 1750 ÷ 2.5
x = 700.
Thus, in the fruit punch, there is 700 ml of orange juice.
<span>The amount of pineapple juice combined was 100 ml more than the amount of orange juice. Therefore, there is 800 ml of pineapple juice (700 ml of orange juice + 100 ml more).
</span>
The amount of strawberry juice was half the amount of orange juice. Therefore, there is 350 ml of strawberry juice (700 ml of orange juice ÷ 2).
<span>The difference in the amounts of pineapple juice and strawberry juice Martin combined is 450 ml:
</span>the amounts of pineapple juice - the amounts of strawberry juice =
800 ml of pineapple juice - <span>350 ml of strawberry juice = 450 ml.
</span>
