Answer:
Step-by-step explanation:
and 
and we are told that C is 6cm longer than A. That means that C = A + 6.
We are going to cross multiply each one of those ratios. The first one gives us
4A = 3B and the second one gives us
9B = 8C. But since C = A + 6, then
9B = 8(A + 6) and
9B = 8A + 48 and
Now we will solve the first equation above for A:
If 4A = 3B, then
and will use that as a sub for A in the second equation:
and
9B = 6B + 48 and
3B = 48 so
B = 16.
Now that we know B, we can use it to solve for A:
4A = 3(16) and
4A = 48 so
A = 12.
Then we can use that all the way back in the expression we set up for C:
C = A + 6 so
C = 12 + 6 so
C = 18
12 + 16 + 18 is the length of the string: 46cm
Answer:
option A, C , E
Step-by-step explanation:
- 4 + ( 4 + 5 ) = ( - 4 + 4 ) + 5 [ associative property ]
Answer:
3 hot dogs and 5 drinks
Step-by-step explanation:
(3x2)+(1x5)
=(6)+(5)
=11
Answer:y=7 x=14 z=-5
Step-by-step explanation:
For the equation, we need to use the substitution method. So first we will use the y+2z=-3 and subtract 2z from both side and get y=-3-2z. then we will substitute the y in the 2+y+3z=-6 with y=-3-2z so it will be 2+(-3-2z)+3z=-6. then we combine the like-term so it will be -1+z=-6 then add both side with 1 and get z=-5. substitute the z in the y+2z=-3 with -5 and get y-10=-3 then add 10 to both side to get y=7 then substitute the y in the x-2y+z=-5 with 7 and z with -5 so the equation will be x-19=-5 then add the 19 on both side to get x=14.
Answer: x=-3
Step-by-step explanation: -2x+1=7
-2x=7-1
-2x=6
-2x/-2=6/-2
X=-3
