Answer:
4/24
Choice B is correct
Step-by-step explanation:
From the information given, there is 1 table for every 6 chairs at the restaurant. In ratio form this can be expressed as;
1:6
The ratio that is equivalent to this given ratio is 4/24. This can easily be checked through simplification of this ratio;
4/24; If we divide both the numerator and the denominator by 4 we obtain
1/6 which is equivalent to 1:6
Yes it is greater than 6 because of common denominator
9514 1404 393
Answer:
Ben's
Step-by-step explanation:
If E is the amount of energy that each full set of panels produces, then ...
3 of Ismael's 5 panels produce 3/5E
4 of Ben's 6 panels produce 4/6E
We can compare these fractions when they have a common denominator.
3/5E = 18/30E . . . . energy from Ismael's panels
4/6E = 20/30E . . . energy from Ben's panels
18/30 < 20/30 . . . . so Ben's panels are producing more energy
From the system of equations, we have 3 unknowns and 3 equations. Therefore, it can be solved.
<span>3x - 2y + 2z = 30 (1)
</span><span>-x + 3y - 4z = -33 (2)
</span><span>2x - 4y + 3z = 42 (3)
We can write equation 2 x as a function of y and z and substitute the new equation to the other equations.
</span>x =3y - 4z + 33 (2)
3 (3y - 4z + 3)<span> - 2y + 2z = 30 (1)
</span>2 (3y - 4z + <span>3)</span> - 4y + 3z = 42 (3)
We simplify and solve the equations and we get values,
x = 4
y = -7
z = 2
By definition, an astronomical unit in miles is given by:
As it is in exponential notation, then we must rewrite.
Therefore, an astronomical unit is:
93 million miles
Answer:
93 million miles
