Answer:
a)i)1/16
ii)5/36
b)i)5/96
ii)20/69
Step-by-step explanation:
a) i) 6/24 =1/4
1/4*1/4=1/16
a)ii)8/24=1/3 10/24=5/12
1/3*5/12=5/36
b)i) 5/24*1/4=5/96
ii) 1/3*10/23=10/69
5/12*8/23=40/276=20/138=10/69
10/69+10/69=20/69
The answer is a if you get it wrong it's all on me
<span>x = 18 and the length of each side of the triangle is 29.
This is a matter of reading the descriptions and converting to mathematical notation.
"QRS is an equilateral triangle"
We now know that all three sides of the triangle have the same length.
"If QR is seven less than twice x". So we can write
QR = 2x - 7
"RS is 61 less than 5 times x". So we can write
RS = 5x - 61
"QS is 11 more than x". And we can write
QS = x + 11
And because we already know that they all have the same length, then we can set those equations equal to each other. Let's just pick 2 of them. Will use the length of QR and QS because they look the simplest and then will solve for x.
QR = 2x - 7
RS = 5x - 61
QS = x + 11
2x - 7 = x + 11
x - 7 = 11
x = 18
So we now know that x = 18. Let's check to make sure all three equations have the same value.
QR = 2x - 7 = 2*18 - 7 = 36 - 7 = 29
RS = 5x - 61 = 5*18 - 61 = 90 - 61 = 29
QS = x + 11 = 18 + 11 = 29
And they all are equal, so 18 is the correct value for x.</span>
Answer:
139,999
Step-by-step explanation:
If the digit sum of n is divisible by 5, the digit sum of n+1 can't physically be divisble by 5, unless we utilise 9's at the end, this way whenever we take a number in the tens (i.e. 19), the n+1 will be 1 off being divisble, so if we take a number in the hundreds, (109, remember it must have as many 9's at the end as possible) the n+1 will be 2 off being divisble, so continuing this into the thousands being three, tenthousands being 4, the hundred thousands will be 5 off (or also divisble by 5). So if we stick a 1 in the beginning (for the lowest value), and fill the last digits with 9's, we by process of elimination realise that the tenthousands digit must be 3 such that the digit sum is divisible by 5, therefore we get 139,999