Answer:
<u>The number is 296.</u>
Step-by-step explanation:
Let's call "x" to the number we are looking for.
Now, the problem states that "5 more than the quotient of a number and 8 is 42". This means that this number is being divided by 8, it's also being additioned 5 and the final result is 42. Therefore, the expression of this operations on this number is the following:
. Let's solve the equation to find x.
1. Write the expression.
2. Substract 5 from both sides and simplify.
3. Multiply 8 on both sides and simplify.
<u>We have found our number, it's 296!</u>
We have the coordinates
J (2,5)
K (4,19)
Since we are to find the point that partitions the line segment into 3:2 ratio, we have 5 equal parts of the line segment. So,
Get the horizontal distance:
4 - 2 = 2
Divide by 5
2/5
Multiply by 3
2/5 x 3 = 1.2
Add this to the x coordinate of J
2 + 1.2 = 2.2
Get the vertical distance:
19 - 5 = 14
Divide by 5
14/5
Multiply by 3
14/5 x 3 = 8.4
Add this to the y coordinate of J
5 + 8.4 = 13.4
The coordinates of the point is
(2.2,13.4)
<u>Answer:</u>
100
<u>Step-by-step explanation:</u>
Given :
Terms ( n ) = 100
First term ( a ) = 100
Series = > 100 + 98 + 96 .......
Common difference ( d ) = 98 - 100 = > - 2
We know sum formula:
S_n = ( n / 2 ) ( 2 a + ( n - 1 ) d )
= > S_100 = ( 100 / 2 ) ( 200 + ( 100 - 1 ) - 2 )
= > S_100 = 50 ( 200 - 198 )
= > S_100 = 50 ( 2 )
= > S_100 = 100
Therefore, sum of first 100 terms is 100.
Answer: 5:17
Step-by-step explanation: Add both ratios together to get the complete amount of days.
