Answer: 184
Step-by-step explanation:
The nth term of am arithmetic sequence is calculated as:
Nth term= a+(n-1)d
where a = first term
d = common difference
a = -10
d = -8 -(-10) = -8+10 = 2
98th term= a+(n-1)d
= -10 + (98-1)(2)
= -10 + (97×2)
= -10 + 194
= 184
The 98th term of the arithmetic sequence is 184
Answer:
5/9
Step-by-step explanation:
Let the denominator be x and numerator be y.
Given, numerator is 4 less than denominator
=> y = x - 4 ...(1)
When 5 is added to both:
Numerator = y + 5 , and, denominator = x + 5
Now their ratio is 5/7.
=> (y + 5)/(x + 5) = 5/7
=> 7(y + 5) = 5(x + 5)
=> 7y + 35 = 5x + 25
=> 7y - 5x = 25 - 35
=> 7(x - 4) - 5x = -10 {y=x-4}
=> 7x - 28 - 5x = -10
=> 2x = 18
=> x = 9
Thus,
Fraction is y/x = (x-4)/x = (9-4)/9 = 5/9
Answer:
1.18b
Step-by-step explanation:
Jacob had lunch at a restaurant and his bill was b.
Now, Jacob leaves 18% of his bill amount as a tip.
So, the tip amount at the rate of 18% of the bill amount will be
Therefore, the total cost of Jacob for the lunch will be b + 0.18b = 1.18b. (Answer)
Answer:
PQ is perpendicular to RS
that is to mean:
PQ⊥RS
Step-by-step explanation:
Car A traveled 55 miles per hour. Now, how I got this is with the distance= rate *time equation. You can send me a message if you need a more detailed explanation. Hope this helped.