Answer:
Step-by-step explanation:
4x - 12 ≤ 16 + 8x
4x - 8x ≤ 16 + 12
- 4x ≤ 28
<em>x ≥ - 7 or [ - 7, ∞ )</em>
Answer:
48 uniforms
Step-by-step explanation:
1836-612=1224.
1224/25.50=48.
Checked answer:
25.50 x 48= 1224
First you would need to convert the equation to match the y = mx + b format.
Subtract 2x from both sides to get -y = -2x + 3
Then, divide -1 (because that's the coefficient to -y, on all values, turning to equation into
y = 2x - 3 (negative and negative makes a positive that's why the 2 value is now positive) in order to make the y value positive.
Our y intercept is -3 so start your graphing line on the -3 value on the x axis.
Our slope is 2/1 which means to go up 2 point and right 1 point, since it's a positive slope.
You can mark every point in order to get a more accurate line and just connect the dots from there. Be sure to use a ruler or some sort of straightedge for a better line.
Hope this helped :)
Answer:
38 mm³
Step-by-step explanation:
Calculate the volume of the cylinder and of the cone separately.
1. Volume of cylinder
The formula for the volume V of a cylinder is
V = πr²h
Data:
D = 4 mm
h = 2 mm
Calculations:
a. Calculate the radius
D = 2r
r = D/2 = 4/2 = 2 mm
b. Calculate the volume
V = 3.14 × 2² × 2 = 25.12 mm³
2. Volume of cone
The volume for the volume (V) of a cone is
V = ⅓πr²h
V = ⅓ × 3.14 × 2² × 3
V = 18.85 mm³
3. Calculate the total volume
V = 25.12 mm³ + 12.57 mm³ = 38 mm³
The given equation -4y + 4y + 2 = 2 have infinite solutions.
According to the given question.
We have a equation.
-4y + 4y + 2 = 2
Solve the above equation for finding the number of solutions.
-4y + 4y + 2 - 2 = 2- 2
⇒ 0 = 0
The coefficients and the constants match after combining the like terms. This gives us a true statement.
We can see that in the final equation, both sides are equal. Therefore, it has an infinite solution.
Hence, the given equation -4y + 4y + 2 = 2 have infinite solutions.
Find out more information about solutions of an equation:
brainly.com/question/14603452
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