2x + 1 = 73
2x = 72
x = 36
the 2 integers are 36 and 37
Its b
Answer:
Number of $5 bills = 32
Number of $10 bills = 14
Number of $20 bills = 8
Step-by-step explanation:
Let x number of $5, y number of $10 and z number of $20
The number of $5 bills exceeds twice the number of $10 bills by 4.
Therefore, x = 2y + 4
The number of $20 bills is 6 fewer than the number of $10 bills.
Therefore, z = y - 6
A wallet contains $460 in $5, $10, and $20 bills.
Therefore,
5x + 10y + 20z = 460
Substitute x and y into equation
5(2y+4) + 10y + 20(y-6) = 460
10y + 20 + 10y + 20y - 120 = 460
40y - 100 = 460
40y = 460 + 100
40y = 560
y = 14
- Put the value of y into x = 2y + 4 and solve for x
x = 2(14) + 4
x = 32
- Put the value of y into z = y - 6 and solve for z
z = 14 - 6
z = 8
Hence, the each type of bills,
Number of $5 bills = 32
Number of $10 bills = 14
Number of $20 bills = 8
Answer:
C.97
Step-by-step explanation:
A linear pair of angles has a common side, and the vertex is on the line designated by the points denoting the non-common sides.
Consider the first choice:
... the common sided is RL, and the other two points are P and M. Point R (the vertex of the angles) is not on line PM. (In fact, line PM is not shown on the diagram.)
In the second choice, the given angles do not have a common side. (They are actually "vertical" angles.)
In the 3rd choice, the common side is RN, and vertex point R is found on line MO. These angles <em>are</em> a linear pair:
... - MRN and NRO
& 
so , 
.
<u>Step-by-step explanation:</u>
Here we have , ab= 8 & a^2+b^2=16 i.e. and .
We need to find value of (a+b)^2 i.e. 
:
It's and identity and we know that 
⇒
⇒ 
⇒ 
⇒ 
⇒
∴ & so , .
