Let's start by solving the first equation.
a) -3 = 7 + 2t/3
To begin simplifying this equation, we should multiply both sides by 3 to get rid of the denominator on the right side of the equation.
-9 = 7 + 2t
Next, we should subtract 7 from both sides to cancel out the 7 on the right side.
-16 = 2t
Finally, we should divide both sides by 2.
t= -8
Now let's move on to the next equation.
b) 4(5x-2) = 7(2x+3)
Let's use the distributive property to get rid of the parentheses and their coefficients.
20x-8 = 14x + 21
Now, lets subtract 14x from both sides of the equation.
6x - 8 = 21
Next, let's add 8 to both sides of the equation.
6x = 29
And divide both sides by the coefficient of x, which is 6.
x = 29/6 or 4 5/6
Now for the last equation.
C) 2x - 6 = 20 - 2.5x
First, we should add 2.5x to both sides to cancel out the -2.5x on the right side of the equation.
4.5x - 6 = 20
Now, let's add 6 to both sides to get the variable term alone.
4.5x = 26
Finally, we should divide both sides by 4.5 to get x by itself.
x = 5 7/9
Hope this helps! :)
Answer:
x = 12
Step-by-step explanation:
In order for these lines to be parallel:
5x = 4x + 12
x = 12
Hope this helps
The value of f is 348 pounds.
Given
At a big cat reserve, a male Bengal tiger weighs more than a female Bengal tiger.
The male tiger weighs 445 pounds.
The difference in the weight of the tigers is 97 pounds.
<h3>Difference;</h3>
The meaning of DIFFERENCE is the quality or state of being dissimilar or different.
The zookeeper created the bar diagram and the equation below is given as:

On solving the equation the value of f is;

Hence, the value of f is 348 pounds.
To know more about the differences click the link given below.
brainly.com/question/11572024