To know if p = -1 is a possible solution to <span>6(p – 4) = -30p, plug in -1 for p and see if the equation is true.
</span><span>6(p – 4) = -30p
</span><span>6(-1 – 4) = -30(-1)
</span>6(-1 – 4) = -30(-1)<span>
Solve the parentheses.
-1 - 4 = -5
</span>6(-5) = -30(-1)
Multiply.
6 • -5 = -30
-30 • -1 = 30
-30 = 30
This is not true, so p = -1 is NOT a possible solution for the <span>equation 6(p – 4) = -30p.
Hope this helps!</span>
Answer:
option c) x₁₁ + x₁₂ = 8000
Step-by-step explanation:
Given:
xij = gallons of component i used in gasoline j
gallons of component 1 available = 8,000
demand gasoline types 1 = 11,000
demand gasoline types 2 = 14,000
Here, we have only component 1 available i.e i = 1 only
( therefore, all the options containing i = 2 gets eliminated )
thus,
component 1 will fulfill the demand of gasoline types 1 and 2 i.e j = 1 and 2
hence,
the equation satisfying the above conditions comes out as:
x₁₁ + x₁₂ = 8000
that means gallons of component 1 used in gasoline 1 and 2 and the total equals to the gallons of component 1 available i.e 8000
Answer and Step-by-step explanation:
Ok, it's basically just parts of a circle circumference and area equation. Let's start first by writing down both equations.
C = 2πr
C = πd
A = π
Now, all we have to do is plug in the values into those equations!
4. C = 2π(12) A = π(
)
r = 12
d = 24 <---- (12 times 2 equals 24)
C = 24π
A = 144π <---- (12 times 12 (itself) equals 144)
5. C = π4.8 A = π(
)
r = 2.4 <------- (4.8 divided by 2 equals 2.4)
d = 4.8
C = 4.8π
A = 23.04π <------- (4.8 times 4.8 equals 23.04)
6. 20π = 2πr A = π
r = 10 <------- (20π divided by π and divided by 2)
d = 20 <------- (20π divided by π)
C = 20π
A = 100π <------- (10 times 10 equals 100)
7. C = 2πr 81π = π
r = 9 <------- (81π divided by π and square rooted equals 9)
d = 18 <------- (9 times 2 equals 18)
C = 18π <------- (2 times 9 equals 18, times π)
A = 81π
#teamtrees #WAP (Water And Plant) #ELM (Every Life Matters)
First of all, if we have 1 gram of a substance that has 0.52 gram of copper and 0.26 gram of zinc, the remainder will be:
Since we know that the remaining portion of the material is nickel, we have 0.22 gram of metal.
Now, Ben estimates that 1 gram of the substance has 0.2 gram of nickel. To find how many grams of metal are in 35 grams of the material, we are going to multiply the grams of the substance by the gram of nickel:
We can conclude that according to Ben, 35 grams of the content has 7 grams of metal.
But we know that in 1 gram of the substance are not 0.2 gram of nickel but 0.22. So let's multiply the grams of the material by 0.22 to find the actual grams of nickel in it:
We can conclude that 35 grams of the substance have 7.7 grams of metal.
Answer:
C. a reflection in the y-axis
Step-by-step explanation:
The mapping statement for the transformation of the vertices of the triangle ABC is given as following:
A(0,2)→A'(0,2)
B(2,9)→B'(-2,9)
C(4,2)→C'(-4,2)
To find the correct transformation for the given statement.
Solution:
From the given statements, the general transformation statement for the the vertices of the triangle can be given as:

The above transformation shows a reflection in the y-axis as the transformation in y-axis changes the sign of the x-coordinate of the point.