Answer:
3) 4x=15
6)b=$2.5
1) n= -12
Explanation:
3. Given the equation
,
#Expand by removing the brackets:
![2+4x=17](https://img.qammunity.org/2021/formulas/mathematics/college/4x3fk2z3wizl5uyrkq135jxstg2gjtr1bz.png)
#We then group the like terms to solve for x:
2+4x=17
4x=15
Hence, the equations equivalent is 4x=15
6. Let b be the cost of each bag of snack.
-Given that there are 4 friends who spent a total of $34 and each ticket costed $6.
-We equate the costs to the total to solve for b:
![C_T=C_t+C_b\\\\34=4* 6+C_b\\\\C_b=4b\\\\\therefore 4b=10\\\\b=2.5](https://img.qammunity.org/2021/formulas/mathematics/college/9ce043mb8l9t7x0firay6o4opnp0q88apq.png)
Hence, the cost of each bag of snack is $2.5
1) Given the equation
![-(2)/(3)n+7=15](https://img.qammunity.org/2021/formulas/mathematics/college/ar3zss7rgnv3lqiieq0um3ydr9682899kc.png)
#First. we multiply each term by 3 to remove the fraction:
![3*-(2)/(3)n+3*7=15*3\\\\-2n+21=45](https://img.qammunity.org/2021/formulas/mathematics/college/vhmg89a8cp838rkp1kpy9atcryctwlk9n1.png)
#We then group like terms together to solve for n:
![-2n=45-21\\\\-2n=24](https://img.qammunity.org/2021/formulas/mathematics/college/7yfnu00n2l3xwz5ymrojf1ooyqzhq39rc2.png)
#Divide all terms by -2 to get the value of n:
![(1)/(-2)* -2n=(1)/(-2)*24\\\\n=-12](https://img.qammunity.org/2021/formulas/mathematics/college/i6qfr1e2njp6ctd68rsljs3cyomumounzf.png)
Hence n= -12