Answer:
Step-by-step explanation:
geometric progression formula:
given:
common ratio, r = 1/2
1) find the value of a
we're finding the 1st term, so substitute 1 into n:
first term is 5. so we substitute 5 into the equation:
2) find the 10th term
we're finding the 10th term, so substitute 10 into the equation and don't forget to substitute 5 into a:
Answer: The number is 1.
Step-by-step explanation:
create the formula from the problem
4x -7 = 1
move the seven to the other side by adding seven to both sides
4x (+7) -7 = 1 (+7)
4x = 8
then to get the x by itself, divide both sides by 4
4x/4 = 8/4
x = 2
You can check your work by plugging the x back into the original problem
4 (2) -7 = 1
8 -7 = 1
1 = 1 (this means it is correct)
Answer:
x² + y² = 36
Step-by-step explanation:
The formula for the circle is
x² + y² = 36
If the point is on the circle it will equal 36 when plugged into the formula
Point(6, 0)
6² + 0 = 36
36 = 36 on the circle
point (5, 1)
5² + 1² = ?
25 + 1 = 26
26 ≠ 36 not on the circle
This question above is incomplete
Complete Question
Jim had 103 red and blue marbles. After giving 2/5 of his blue marbles and 15 of his red marbles to Samantha, Jim had 3/7 as many red marbles as blue marbles. How many blue marbles did he have originally?
Answer:
70 Blue marbles
Step-by-step explanation:
Let red marbles = R
Blue marbles = B
Step 1
Jim had 103 red and blue marbles.
R + B = 103.......Equation 1
R = 103 - B
Step 2
After giving 2/5 of his blue marbles and 15 of his red marbles to Samantha, Jim had 3/7 as many red marbles as blue marbles
2/5 of B to Samantha
Jim has = B - 2/5B = 3/5B left
He also gave 15 red marbles to Samantha
= R - 15
The ratio of what Jim has left
= Red: Blue
= 3:7
= 3/7
Hence,
R - 15/(3/5)B = 3/7
Cross Multiply
7(R - 15) = 3(3/5B)
7R - 105 = 3(3B/5)
7R - 105 = 9B/5
Cross Multiply
5(7R - 105) = 9B
35R - 525 = 9B............ Equation 2
From Equation 1, we substitute 103 - B for R in Equation 2
35(103 - B) - 525 = 9B
3605 - 35B - 525 = 9B
Collect like terms
3605 - 525 = 9B + 35B
3080 = 44B
B = 3080/44
B = 70
Therefore, Jim originally had 70 Blue marbles.
320/340 can also be written as 16/17.
Divide/cancel both with 20.
