Answer:
3) 4x=15
6)b=$2.5
1) n= -12
Step-by-step explanation:
3. Given the equation [tex]\frac{1}{2}(4+8x)=17[/tex],
#Expand by removing the brackets:
[tex]2+4x=17[/tex]
#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:
[tex]C_T=C_t+C_b\\\\34=4\times 6+C_b\\\\C_b=4b\\\\\therefore 4b=10\\\\b=2.5[/tex]
Hence, the cost of each bag of snack is $2.5
1) Given the equation [tex]-\frac{2}{3}n+7=15[/tex]
#First. we multiply each term by 3 to remove the fraction:
[tex]3\times-\frac{2}{3}n+3\times7=15\times3\\\\-2n+21=45[/tex]
#We then group like terms together to solve for n:
[tex]-2n=45-21\\\\-2n=24[/tex]
#Divide all terms by -2 to get the value of n:
[tex]\frac{1}{-2}\times -2n=\frac{1}{-2}\times24\\\\n=-12[/tex]
Hence n= -12
