Answer: 7
Step-by-step explanation: 7x7=49 and 7x5=35
The volume of rectangular prism is the product of its length, width and height.
So the volume V of prism with length

yards, width

yards and height of 4 yards will be:

Thus the volume of prism as a mixed number in simplest form will be

cubic yards
Given:
Four equations in the options.
To find:
The equation which represents a proportional relationship.
Solution:
If y is proportional to x, then


where, k is the constant of proportionality.
In this case if x=0, then y=0. It means the graph of a proportional relationship passes through the origin.
From the given options, only option B, i.e.,
, is of the
, where,
.
So, the equation
represents a proportional relationship.
Therefore, the correct option is B.
Answer:
20 feet
Step-by-step explanation:
1st piece = x
2nd piece = 2x
3rd piece = 6x
x+2x+6x=180
9x=180
x=20
so the first piece is 20 feet, the second is 40, and the third is 120.
Answer:
The sum of the roots is 0.5
Step-by-step explanation:
<u><em>The correct question is</em></u>
What is the sum of the roots of 20x^2-10x-30
we know that
In a quadratic equation of the form
The sum of the roots is equal to
in this problem we have
so

substitute
<u><em>Verify</em></u>
Find the roots of the quadratic equation
The formula to solve a quadratic equation is equal to


substitute





The roots are x=-1 and x=1.5
The sum of the roots are
----> is ok