Answer:
Both terms have a common factor of 2^15
Step-by-step explanation:
Make use of prime factorizations:
16^5+2^15=(2^4)^5+2^15=2^20+2^15
Both terms have a common factor of 2^15.
16^5+2^15=2^15(2^5+1)=2^15 x 33
Answer:
4.5
Step-by-step explanation:
The formula for solving area in parallelograms is base x height.
The base is 2.5 and the height is 1.8
2.5x1.8=4.5
Answer: X = 62°, Y = 68°, Z = 50°
Step-by-step explanation:
From the given picture, the angles of Δ LPN are ∠L= 62° and ∠ N = 50°
By angle sum property of triangle ,
∠P=180°-(62°+50°)
⇒∠P=180°-112°
⇒∠P=68°
Hence, ∠P=68°
Since, ΔXYZ ∼ ΔLPN [given]
Also, the corresponding angles of similar triangle are equal.
Therefore, ∠L=∠X 62° , ∠P=∠Y=68° and ∠ N =∠Z= 50°
So just your normal equation.
We need to isolate x alone.
First lets write out our equation
3 +7x = 12
Lets do this step by step.
first subtract 3 from both sides.
3 + 7x = 12
-3 = -3 it cancels out on the left side and we solve on the right side.
*************
7x = 9
second we divide both sides by 7
7x = 9
÷7 = 7 we got the x alone and we just write 9/7 as our answer.
x = 9/7
Or as a decimal.
9/7 could be <span>1.28571428571429
</span>
Either will work.
x = 9/7
or
x = <span>1.28571428571429
</span>
Have a nice day. :)
Answer:
<u>29</u> $1 bills and <u>14</u> $5 bills.
Step-by-step explanation:
Let 
be the number of $1 bills and 
be the number of $5 bills. With the information given, we can set up two equations:
1) 
2) 
There are two ways to solve it; with elimination or substitution. In this explanation, I will solve it with elimination.
To solve it with elimination, multiply the first equation by 5 to get:
Then, you can subtract the equation we just got by the second equation to get:
Thus, 
. To find y, just substitute x for 29 in the first equation to get:
. Therefore, 
. That means that there are 29 $1 bills and 14 $5 bills. You can check by substituting those values for x and y in either of the first two equations.
Hope this helps :)
