15.
4(x-2) = 2(x-4)+2x
i used the distributive property on the parantheses to then get...
4x-8 = 2x-8+2x
I combined the like terms to then get...
4x-8 = 4x-8
+8 +8
4x = 4x
which simplifies to....
x=x
so the answer to question 15 is x=x
17.
-4(p+1) = -2(8-2p)
I used the distributive property on the parantheses....
-4p-4 = -16+4p
+4 +4
-4p = -12+4p
-4p -4p
-8p = -12
÷-8 ÷-8
p = 1.5
so the answer to question 17 is p = 1.5
hope this helps!!!!
About 400 zebras live at the game reserve.
The proportion would be
30/150 = 80/x
This is because 30 zebras are tagged out of 150 in one area. We know that they tagged 80 total zebras out of x total zebras.
To solve this, cross multiply:
x*30 = 150*80
30x = 12000
Divide both sides by 30:
30x/30 = 12000/30
x = 400
Answer:
Step-by-step explanation:ik it but answer mine first plz
Answer:
The height of the statue is 21.4 feet
Step-by-step explanation:
We are given
A person is standing 50 ft from a statue
The person looks up at an angle of elevation of 16 degree when staring at the top of the statue
hen the person looks down at an angle of depression of 8 degree when staring at the base of the statue
Firstly, we will draw diagram
In triangle ABF:
FC=50
we can use trig formula
![tan(16)=\frac{y}{50}](https://tex.z-dn.net/?f=tan%2816%29%3D%5Cfrac%7By%7D%7B50%7D)
![y=50tan(16)](https://tex.z-dn.net/?f=y%3D50tan%2816%29)
![y=14.33727ft](https://tex.z-dn.net/?f=y%3D14.33727ft)
now, we can find x
In triangle DEF:
we can use trig formula
![tan(8)=\frac{x}{50}](https://tex.z-dn.net/?f=tan%288%29%3D%5Cfrac%7Bx%7D%7B50%7D)
![x=50tan(8)](https://tex.z-dn.net/?f=x%3D50tan%288%29)
![x=7.0270ft](https://tex.z-dn.net/?f=x%3D7.0270ft)
we can see that
height of statue =x+y
so, the height of statue is
![=14.33727+7.0270](https://tex.z-dn.net/?f=%3D14.33727%2B7.0270)
![=21.4ft](https://tex.z-dn.net/?f=%3D21.4ft)
Answer:
$6
Step-by-step explanation:
Set up an equation:
88 = 8x + 6x + 4
Where x is the price of the shirts and pants
Subtract 4 on both sides:
88 = 8x + 6x + 4
-4 -4
84 = 8x + 6x
Combine Like Terms:
84 = 8x + 6x
84 = 14x
Divide by 14 on both sides:
84 = 14x
/14 /14
6 = x
Therefore, the price of each shirrt or pair of pants is $6.