Answer:
x = 2
Step-by-step explanation:
The parallel lines divide the transversals into proportional segments, that is
= 
( cross- multiply )
9(x + 4) = 54 ( divide both sides by 9 )
x + 4 = 6 ( subtract 4 from both sides )
x = 2
Answer:
the value of the investment after 3 years= £11,904
Step-by-step explanation:
sarah invests £9600 at a simple interest rate of 8% per year
number of years = 3
Formula for simple interest
I = P*n* r
P is the initial amount invested= 9600
r is the rate of interest = 8% = 0.08
n = number of years = 3
Now we find interest using formula
I = 9600 * 0.08 * 3= 2304
Interest amount is 2,304
Now we add the interest with the initial amount to get the value of investment after 3 years
9600 + 2304= 11904
So remember the formula for working out the slope:
(y2 - y1) ÷ (x2 - x1)
We already know two points:
(11, 5) and (20, 5) (Remember points are like (x, y)
Therefore y2 = 5 and y1 = 5 and x2 = 20 and x1 = 11
Substitute these into the formula from the start:
(y2 - y1) ÷ (x2 - x1)
(5 - 5) ÷ (20 - 11)
0 ÷ 9
And we can determine the slope is equal to 0 as 0 ÷ 9 = 0
Answer:
20100
Step-by-step explanation:
There are 200 numbers in this addition problem. To add this, we can do 1 + 200, 2 + 199, 3 + 198 and so on. All of these pairs have a sum of 201 and since there are 200 / 2 = 100 pairs the answer is 201 * 100 = 20100.
One way to find the least common multiple of two numbers is to first list the prime factors of each number.
8 = 2 x 2 x 2
Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.
2: three occurrences
3: one occurrence
So, our LCM should be
2 x 2 x 2 x 3 = 24.
So, Marco can buy, at the very least, 24 beads of each color to have equal colors of beads.
