Well first you have to make variables for each number.
1st - x
2nd - y
3rd - z
first sentence says twice first number so 2x. is means equals so =. eleven more than sum of the other two numbers. sum of other two numbers is (y + z) and eleven more than that is (y + z) + 11. So so this sentence says:
2x = (y + z) + 11
second sentence says sum of twice the first and three times third. twice first is 2x and three times third is 3z. their sum would be (2x + 3z). It it says is one more than second number. So = (y + 1). So so this means:
(2x + 3z) = (y + 1)
third sentence says second number (y) is is equal to sum of first and third (x + z). so;
y = (x + z)
now for the work.
We we can easily solve for a by subtracting the first 2 equations. the way to subtract 2 equations is by subtracting one left side of equal sign from the other equations left side and then doing the same with the right side.
So we will subtract the 1st and second equations we made.
So so left sides would be
2x - (2x + 3z)
2x - 2x - 3z
-3z
right side would be:
y + z + 11 - (y + 1)
y + z + 11 - y - 1
z + 10
now put the sides with an equal sign
-3z = z + 10
-4z = 10
z = -2.5
now we can plug in z into the equations and subtract second and third equations. But but we will subtract opposite sides. So so left minus right and right mi is left after we plug in z:
(2x + 3 (-2.5)) - (x + (-2.5))
2x - 7.5 - x + 2.5
x - 5
other one would be
(y + 1) - y
1
So so put an equal sign and get:
x - 5 = 1
x = 6
now plug x and x into 3rd equation
y = x + z
y = 6 + (-2.5)
y = 3.5
now we have values. You can check answer by plugging values into other 2 equations
Answer:
3,000 divided 60 are the compatible numbers, and the estimate is 50.
Step-by-step explanation:
Compatible numbers can be described as numbers which are close in value to the actual numbers and can easily be added, subtracted, multiplied, or divided mentally.
From the question, 3,000 divided 60 are the compatible numbers that provide a better estimate for the number of departments that can get the bottles because 55 can be rounded up to 60.
The estimate will therefore be as follows:
Estimate = 3,000 / 60 = 50
Answer:
x = 60°
Step-by-step explanation:
All the angles in a triangle add up to 180°. So, you have this equation.
87° + 33° + x = 180°
120° + x = 180°
x = 60°
The measure of angle x is 60°.
Hope that helps.
Answer:
1. (x +1)(x - 1)
2. (x+5)(x-5)
3. (x+12)(x-12)
4. (x+14)(x-14)
5. (x+5)(x-7)
Step-by-step explanation:
The first 4 expressions can be factored with the difference of squares type of factoring.
For #5, the odd one out is (x+5)(x-7) because it isn't a factor of any of the standard form equations, while the others are
Y = x + 3/4
x = y - 3/4
swap the variables:-
y = x - 3/4 (answer). Its a.
