<u>Part A
</u><u />To estimate this, we should first look at our fractions and see if they can be combined to form a whole number. In this case,

and

equal approximately 1. We can add this "1" to the other to full gallons to estimate that the painter needs about
3 gallons.
<u>Part B
</u><u /><u />To find the exact amount, we should first change the mixed numbers to improper fractions. We do this by multiplying the denominator by the whole number, adding the numerator, and placing that value over the denominator.

Now, we need to find the least common denominator. This is the lowest value that both denominators will divide evenly into. In this case, that number is 15.
Next, we should multiply both fractions so that the denominator is that number. Remember that we must also multiply the numerator for the fraction to remain equivalent to its original value.

Now, we can simply add our numerators.

We know that he needs

gallons of paint, but this is not in the most simplified format. To simplify, we need to turn our improper fraction back to a mixed number. To do this, we need to divide our numerator by the denominator to create our whole number, and the remainder becomes our new numerator.

Using that logic, we can see that the painter needs exactly
gallons of paint.
Assuming those are the legs of the triangle and that you need to find the hypotenuse... I would use the formula: a^2+b^2=c^2
It doesn't matter what a and b are, just fill it in.
25^2+35^2=c^2
625+1225=c^2
1850=c^2
Take the square root of 1850, it isn't a perfect square so I got: 43.01.
If you want, just round it to 43, idc.
So, if I were to check my work, I would need to remember that the hypotenuse is the longest side.
Since 43 is the hypotenuse, it is the longest side.
Represent Age of Time Traveler =========> X
Solve:
x = 3(x - 20 )
Step 1: Simplify Both sides of equation:
x = 3(x - 20 )
x = (3) (x) + (3) ( - 20 ) (Distribute ):
x = 3x + - 60
x = 3x - 60
Step 2: Subtract 3x from both sides:
x - 3x = 3x - 60 - 3x
- 2x = - 60
Step 3: Divide both sides by -2:
- 2x / - 2 = - 60 / - 2
x = 30
Answer: Our Time Traveler is 30 years old.
Hope that helps : )
Answer:
-True-
Explanation:
the left side
60
is equal to the right side
60
, which means that the given statement is always true.