Answer:
Exact form: 37/8 Decimal form: 4.625 Mixed number form: 4 5/8
Step-by-step explanation:
dd the whole numbers first.
4+\frac{1}{4}+\frac{3}{8}
4+
4
1
+
8
3
2 Find the Least Common Denominator (LCD) of \frac{1}{4},\frac{3}{8}
4
1
,
8
3
. In other words, find the Least Common Multiple (LCM) of 4,84,8.
LCD = 88
3 Make the denominators the same as the LCD.
4+\frac{1\times 2}{4\times 2}+\frac{3}{8}
4+
4×2
1×2
+
8
3
4 Simplify. Denominators are now the same.
4+\frac{2}{8}+\frac{3}{8}
4+
8
2
+
8
3
5 Join the denominators.
4+\frac{2+3}{8}
4+
8
2+3
6 Simplify.
4\frac{5}{8}
4
8
5
Answer:
B. 
Step-by-step explanation:
GIven that 
and 
, and that point M is the midpoint of AB, the midpoint can be determined as a vectorial sum of A and B. That is:
The location of B is now determined after algebraic handling:
Then:
Which corresponds to option B.
X=23
I say this because you can see that the scale factor is 3 due to just visually scaling both the long and short leg from the original triangle to the dilated triangle. Dividing 39 by 3 is 13, and doing it in reverse. Adding 10 would equal 23, the initial value. So that'd be the missing value.
It sounds like your book is asking "what is the probability that the card is either a black card or a 9"
If so, there are 26 black cards (13 spades and 13 clubs) and four cards that have "9" on them (one in each suit). We have 26+4 = 30 cards that are either one or the other. There is overlap though. Namely the 2 black cards that have "9" on them (we count them twice), so we should subtract to get 30-2 = 28
There are 28 cards that either have a '9' on them, they are black, or both
This is out of 52 cards total
Divide the two values: 28/52 = 14/26 = 7/13 = 0.53846
Answer as a fraction: 7/13
Answer in decimal form: 0.53846
Answer as a percentage: 53.846%
Side note: the decimal form and percentage form are approximate
