Answer:
Terms must have the same variable (letter) and the same exponent (little number)
(7x² +3y+ 5) +(9x²+11y- 2)
Opening bracket
7x²+3y+5+9x²+11y-2
keeping like terms together
7x²+9x²+3y+11y+5-2
Since terms having same variable and exponent can be subtracted, added,divided and multiplied
So
Solving like terms we get
<u>16x²+14y+3</u> which is a correct answer.
Answer:
You should make 250 quarts of Creamy Vanilla and 200 of Continental Mocha to use up all the eggs and cream.
Step-by-step explanation:
This problem can be solved by a first order equation
I am going to call x the number of quarts of Creamy Vanilla and y the number of quarts of Continental Mocha.
The problem states that each quart of Creamy Vanilla uses 2 eggs and each quart of Continental Mocha uses 1 egg. There are 700 eggs in stock, so:
2x + y = 700.
The problem also states that each quart of Creamy Vanilla uses 3 cups of cream and that each quart of Continental Mocha uses 3 cups of cream. There are 1350 cups of cream in stock, so:
3x + 3y = 1350
Now we have to solve the following system of equations
1) 2x + y = 700
2) 3x + 3y = 1350
I am going to write y as function of x in 1) and replace it in 2)
y = 700 - 2x
3x + 3(700 - 2x) = 1350
3x + 2100 - 6x = 1350
-3x = -750 *(-1)
3x = 750
x = 250
You should make 250 quarts of Creamy Vanilla
Now, replace it in 1)
y = 700 - 2x
y = 700 - 2(250)
y = 700 - 500
y = 200.
You should make 200 quarts of Continental Mocha
Answer: 10 cm
Step-by-step explanation:
The answer would be 10cm for the boys because if you think about it all together for boys and girls it’s 161 cm and girls have 151 cm so if you add them toge your suppose to get 161 cm so the answer is 10 cm
160000000 =
move the decimal so only one number is to the left
we need to move it 8 times
1.60000000 *10^8
1.6*10^8
58413000000
move the decimal so only one number is to the left
5.8413000000 * 10^10
5.8413*10^10
12. Both sides of the equation are equal and if 18 is half of 36 then 6×2 will give you the value of X
