Answer:
a₇ = 2.375
Step-by-step explanation:
There is a common ratio r between consecutive terms, that is
r = 
= 
= 
= - 
This indicates the sequence is geometric with nth term
= a₁ 
where a₁ is the first term and r the common ratio
Here a₁ = 152 and r = - , then
= 152 
, so
a₇ = 152 
= 152 × 
= 2.375
a.
Let
5x = number of games won
2x = number of games lost
The total number of win and lose is 154. So
5x + 2x = 154
Solving for x,
7x = 154
x = 22
Therefore, the number of games won is 5*22=110 and the number of games lost is 2*22 is 44.
b.
Let
6x = first side of the triangle
7x = second side of the triangle
9x = third side of the triangle
The perimeter of a triangle is the total of all sides. So,
6x + 7x + 9x = 88
22x = 88
x = 4
Therefore, the three lengths of the side are 6*4=24, 7*4=28, and 9*4 = 36
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The terms of this expression would be 8x,-20y, and -10. The coefficients are the numbers in front of the variable so they would be 8 and 20 because they are accompanied by a variable.
Answer:
just ask it again
Step-by-step explanation:
Answer:
200 litres
Step-by-step explanation:
let g be gasoline used, d the distance travelled and s the speed, then the equation relating the quantities is
g = kd
← k is the constant of variation
To find k use g = 25, d = 100 and s = 100, then
25 = k × 100 × 
= k × 100 × 10 = 1000k ( divide both sides by 1000 )
0.025 = k
g = 0.025d ← equation of variation
When d = 1000 and s = 64, then
g = 0.025 × 1000 × 
= 0.025 × 1000 × 8 = 200
