We can begin by rearranging this into multiplication:
Now we can factor the numerators and denominators:
The factors
(x+4) and
(x+2) cancel out, leaving us with:
Our answer comes out to be:
or
Based on the numerator of the second fraction (since we used its inverse), the denominators of both, and the factors we canceled out earlier, the restrictions are
x ≠ -4, -3, -2, -1, 4
For each of the following relationships, graph the proportional relationship between the two quantities, write the equation representing the relationship, and describe how the unit rate, or slope is represented on the graph.
9514 1404 393
Answer:
180 days
Step-by-step explanation:
The formulas for the volume of a cone and a cylinder are ...
V = πr²h . . . . . volume of a cone
V = (1/3)πr²h . . . . . volume of a cylinder
Comparing these formulas, you can see that the 6' high cone at the top will have the same volume as a cylinder of the same radius that is 2' high. So, we can simplify the problem to finding the volume of a cylinder that is 66+2 = 68' high.
V = π(12 ft)²(68 ft) = 9792π ft³ ≈ 30752.5 ft³
When the corn is used at the rate of 170 ft³/day, it will last ...
(30752.5 ft³)/(170 ft³/day) ≈ 180.96 days
The corn will last 180 days.
_____
<em>Additional comment</em>
In scenarios like this, it is inappropriate to round up. There will be about 162 ft³ of corn left after 180 days, which is not enough for an additional day.
Answer:
She made 12 two point basket.
Step-by-step explanation:
Assuming the number of 2 point basket is x and that of 3 point basket is y.
Based on the question the total numbers of basket is 14, that is x + y = 14 , and the total numbers of points is 30, which helps us with our second equation 2(x) +3(y)=30.
x + y = 14 eqn 1
2(x) +3(y)=30 eqn 2
Using elimination method multiplying eqn 1 by -3 and adding it to equation 2
-3x-3 y = -42 adding to eqn 2 gives
-x= -12
x=12. Which gives the number of the 2 points basket she made .
Answer:
6:22
9:33
12:44
Step-by-step explanation:
Giben ratio 3:11
Multiplying by 2,
6:22
Multiplying by 3
9:33
Multiplying by 4
12:44
