7 is the missing numerator in the equivalent fraction with a denominator of 2.
<u>Step-by-step explanation</u>:
The mixed fraction is 3 1/2.
- Convert it into a proper fraction to get a equivalent fraction.
- Multiply the denominator 2 with 3 and then add 1 to the answer.
⇒ 3 1/2 = ((3
2) + 1)/2
⇒ 3 1/2 =7/2
∴ The numerator of the equivalent fraction is 7.
Answer:
10 green and 1 blue pencils
Step-by-step explanation:
Exactly 11 pencils were added
Blue pencils became highest, for it to be highest, it has to be more than all the other ones. So if 10 is added to the original number it will make it 13 higher than all, and the remaining one is added to green to make it 12 higher than red.
Answer:
The total area of the figure is 52 in²
Step-by-step explanation:
This figure requires you to find the area of the square and the triangle separately, and then subtract the area of the triangle from the area of the square.
Find the area of the square
l=8in
A=l²
A=8²
A=64 in²
The area of the square is 64 in²
Find the area of the triangle
b=8in
h=3in
A=(bh)/2
A=(8*3)/2
A=24/2
A=12 in²
The area of the triangle is 64 in²
Now we need to subtract the areas
64-12=52 in²
The total area of the figure is 52 in²
Step-by-step explanation:
Tr+1 = nCr * a^(n-r) * b^r.
Therefore the coefficients of the binomial expansion of (p + q)⁶ are 6C0, 6C1, 6C2, 6C3, 6C4, 6C5 and 6C6.
=> 1, 6, 15, 20, 15, 6, 1.
You can also look up Pascal's triangle which gives shortcuts in finding the coefficients for binomial expansions.
Answer:
a trend line
Step-by-step explanation:
