Answer: option d.
Step-by-step explanation:
If <em>y </em>varies directly as <em>x</em> and <em>z</em>, the form of the equation is:

Where<em> k</em> is the constant of variation.
If y=4 when x=6 and z=1 then substitute these values into the expression and solve for <em>k:</em>

<em> </em>Substitute the value of <em>k</em> into the expression. Then, the equation is:

To find the value of <em>y </em>when x=7 and z=4, you must substute these values into the equation. Therefore you obtain:


<em> </em>
Answer:
1/12
Step-by-step explanation:
Okay, so this will be a compound probability question because there are two parts to the question.
Firstly, a die has 6 sides, and there is only one chance of getting a 1, so the probability would be 1/6.
Furthermore, there are 3 different even numbers on a 6-sided die, so that is 3/6, which can be simplified to 1/2.
Now, because this is a compound probability, we have to multiply 1/2 and 1/6 together, which would give us our answer of 1/12.
3 1/8 means 8 x 3 + 1 = 25/8
Step-by-step explanation:
4/5 x 25/8
= 4x25/5x 8
= 100/40
= 5/2
Answer:
1 out of 8 chance it will be listed exactly
Answer: 24.75 x 1.5 x 1.5 inches
Step-by-step explanation: Hope this helps!