This situation exemplifies the distributive property, where the number outside the parentheses impacts all the terms within through multiplication. Therefore, the resulting action here is:
<span>The 4 should be multiplied by each term found inside the parentheses.
</span>
Answer: He will require 10.07 cubic feet of sand for the wheelbarrows.
Step-by-step explanation:
Given that
the ratio of wheelbarrows filled with sand to those filled with concrete is expressed as

The volume of concrete in wheelbarrows is 248 cubic feet.
Then the volume of sand in wheelbarrows can be found as

Therefore, he will require 10.07 cubic feet of sand for the wheelbarrows.
Here, 'a' relates to 0.
There are two scenarios for 'r' and 't'.
Scenario 1.
Both are positioned on the same side to the right of 'a'.
In this case, 'r' would equal 5, and 't' would equal 7.
The midpoint between 'r' and 't' is
.
Scenario 2.
If both are found to the left of 'a'.
Then 'r' would equal -5, while 't' would equal -7.
The midpoint is
.
Scenario 3.
If 'r' is right of 'a' and 't' is left of 'a'.
Thus 'r' equals 5 and 't' equals -7.
The midpoint is
.
Scenario 4.
If 'r' is left of 'a' while 't' is right of 'a'.
In this case, 'r' corresponds to -5 and 't' corresponds to 7.
The midpoint is
.
The potential midpoint coordinates for 'rt' are 6, -6, 1, and -1.
Answer:
5 ft
Step-by-step explanation:
Denote the height of the previous jump as j. Therefore, it follows that 1.1j equals 5.5 ft.
By dividing both sides by 1.1, we derive j = 5 ft. This indicates the height from the prior jump.
Comment
Let's first tackle the simplest approach to finding the area of a triangle.
Formula for area is
A = 1/2 b * h
Substituting values
Area = 60 in^2
where b = x
and h = 2x - 1
Thus, 60 = 1/2 * x * (2x - 1)
Now, we solve
60 = 1/2 * x (2x - 1) Multiply by 2
60 * 2 = x(2x - 1)
120 = x (2x - 1) Expand the brackets.
120 = 2x^2 - x Subtract 120 from both sides.
2x^2 - x - 120 = 0 which factors out to
(2x + 15)(x - 8) = 0
Now, solving for x
2x + 15 = 0
2x = - 15
thus, x = -15/2
which yields a negative value, hence discard this solution.
x - 8 = 0
gives us x = 8
Area verification
base = 8
height = 16 - 1 = 15
thus Area = 1/2 * 8 * 15 = 60 confirming the calculation
Response
Utilize Area = 1/2 * b * h to determine both the base and height.