Answer:
x=3+3/4
Step-by-step explanation:
1+4x/6=3.5
We move all terms to the left:
1+4x/6-(3.5)=0
We add all the numbers together, and all the variables
4x/6-2.5=0
We multiply all the terms by the denominator
4x-(2.5)*6=0
We add all the numbers together, and all the variables
4x-15=0
We move all terms containing x to the left, all other terms to the right
4x=15
x=15/4
x=3+3/4
The answer is 5. Work backwards: first add 7 to 9, then divide by 2, then subtract 3.
9+7=16
16/2=8
8-3=5
Cross Check:
5+3=8
8*2=16
16-7=9
Final Answer: 5
Y=2(4)+4
=12 gallons in the tank so far
50-12
=38 gallons to fill
Let's translate each sentence into "Math".
Pineapple = p
Orange = x
is means equal
Pineapple is 7 times as heavy as an orange: p = 7x
Pineapple weighs 870 grams more than orange. p = 870 + x
Substitute p = 7x into the second equation:
7x = 870 + x
Subtract x from both sides
6x = 870
divide by 6
x = 145
The orange weighs 145 grams.
The pineapple weights 7 times the orange = 7(145) = 1015 grams.