Answer:
7
Step-by-step explanation:
Given that there are 5 number cards.
They are 2,5,7,8,9
Total of all numbers in the cards = 2+5+7+8+9= 31
One card is removed say with number x.
Now sum new would be =31-x .. i
Average of remaining 4 cards = 6
So sum of remaining 4 cards = 6(4) = 24 ... ii
i and ii represent the sum of remaining 4 cards. Hence they should be equal
31-x =24
Subtract 31 from both sides to get
-x=-7
Or x =7
We can use point slope form to solve for this.
y - 1 = -2(x - 2)
Simplify.
y - 1 = -2x + 4
Add 1 to both sides.
y = -2x + 5
Now, we can input -3 for x and solve for y, or r in this case.
y = -2(-3) + 5
y = 6 + 5
y = 11
r = 11
The correct answer is 3/8
Rewriting our equation with parts separated
1+7/8−6/4
Solving the fraction parts
7/8 - 6/4?
Find the LCD of 7/8 and 6/4 and rewrite to solve with the equivalent fractions.
LCD = 8
7/8−1 2/8=−58
7
8
−
12
8
=
−
5
8
Combining the whole and fraction parts
1−5/8=3/8
To solve an algebraic equation, we need to get x by itself. We can start to do that by multiplying each side of the equation by 62 (to remove the denominator of x).
x + 89(62) = 92 * 62
Simplify
x = 92 * 62 - 89 * 62
Now we can factor out 62
x = 62 (92 - 89)
Now we can simplify the parenthesis
x = 62 * 3
x = 186
