Step-by-step explanation:
Like terms are are terms whose variables (and their exponents such as the 2 in x 2) are the same. In other words, terms that are "like" each other. Note: the coefficients (the numbers you multiply by, such as "5" in 5x) can be different.
So like in your picture x and x would be like terms... your picture helps as well to identify your like terms because your like terms have the same background color to there particular rectangle.
Answer: We start with the variable "x". Let's call "x" Dan's full tank.
So we know that right now he has 1/3x or 1/3 of a full tank.
After adding 12 gallons, at the end, he has 7/9x, or 7/9 of a full tank
So we start with
(1/3)x + 12 = 7/9x
Let's subtract 1/3x from both sides
12 = 7/9x - 1/3x
Remember, we need to use common denominators to subtract, so 1/3 becomes 3/9
12 = 7/9x - 3/9x
Now we simplify to get
12 = 4/9x
Multiply the reciprocal of 4/9 to both sides which is 9/4
12 * 9/4 = x
Answer is 27 gallons.
Answer:
500.5 $
Step-by-step explanation:
1430 :100×35= 500.5$
1001
____ = 500.5
2
Let us assume the cost of 1 apple = x dollars
Let us also assume the cost of 1 pear = y dollars
Then we can form two equations from the details given in the question. Based on those details the required answer to the question can be easily deduced.
3x + 8y = 14.50
And
6x + 4y = 14
Dividing both sides of the equation by 2 we get
3x + 2y = 7
2y = 7 - 3x
y = (7 - 3x)/2
Putting the value of y from the second equation in the first equation we get
3x + 8y = 14.50
3x + 8[(7 - 3x)/2] = 14.50
3x + 4 (7 - 3x) = 14.50
3x + 28 - 12x = 14.50
- 9x = 14.50 - 28
- 9x = - 13.5
9x = 13.5
x = 13.5/9
= 1.5
Putting the value of x in the second equation we get
6x + 4y = 14
(6 * 1.5) + 4y = 14
9 + 4y = 14
4y = 14 - 9
4y = 5
y = 5/4
= 1.25
So we can find from the above deduction that the cost of 1 apple is 1.5 dollars and the cost of 1 pear is 1.25 dollars
Then
Cost of 2 apples = 2 * 1.5 dollars
= 3.0 dollars
So the cost of 2 apples is $3 and the cost of 1 pear is $1.25.
For number 25 it’s x=4 and for 26 it’s x=7
