Yes it does matter which way you subtract
like terms include terms that you can add/sub/mult/div - certain terms..
for example 23 and 7 are like terms, 4x and 56x are like terms....
here-> 12 and 3 are like terms so you can put them together:
12 + 3 - 4x
then you can simplify it:
15 - 4x is your answer (most simplified)
Answer:
87 packages
Step-by-step explanation:
First we need to find the volume of the cone-shaped vase.
The volume of a cone is given by:
V_cone = (1/3) * pi * radius^2 * height
With a radius of 9 cm and a height of 28 cm, we have:
V_cone = (1/3) * pi * 9^2 * 28 = 2375.044 cm3
Each package of sand is a cube with side length of 3 cm, so its volume is:
V_cube = 3^3 = 27 cm3
Now, to know how many packages the artist can use without making the vase overflow, we just need to divide the volume of the cone by the volume of the cube:
V_cone / V_cube = 2375.044 / 27 = 87.9646 packages
So we can use 87 packages (if we use 88 cubes, the vase would overflow)
Answer:
70 dolls
Step-by-step explanation:
Hello!
The ratio is 5:2, which are division of a whole. They can be represented as 5x and 2x.
Jacky has 5x dolls, and Peter has 2x dolls. They were equal after subtracting 15 dolls from 5x and adding them to 2x.
Equation:
Solve:
- 5x - 15 = 2x + 15
- 5x - 30 = 2x
- 5x = 2x + 30
- 3x = 30
- x = 10
So Jacky has 5(10) dolls, or 50 dolls, and Peter has 2(10) or 20 dolls.
The total sum is 70 dolls.
Answer:
a = 8
b ≠ 18
Step-by-step explanation:
y = 4x - 7
2y = ax + b
For there to be no solution, the lines (if graphed) should be parallel meaning that their slopes are equal but the y-intercepts are different
y = mx +b is the equation of a line where m is the slope and b is the y-intercept
Multiply the first equation by 2
2y = 8x - 14
2y = ax + b
So a has to equal 8
b can be anything except 14 (otherwise the lines would be the same)
