Answer:
B) Infinitely many solutions.
Step-by-step explanation:
-x + 4y = 24
4y = x + 24
y = 1/4x + 6
It is the same equation twice.
Answer:
Step-by-step explanation:
A ratio problem
230 sides is to 147 height as 220 sides is to an unknown height X
230/147 = 220 / X solve for x ( since 220 < 230 X should be < 147)
X = (220)(147) / 230
X = height = 140.6 m is less than 147
Hello!
To solve this, first say x = number of hours grading.
We can set up fractions to represent how much each one of them can grade in one hour. To do this, divide the number of essays by the number of hours it would take for them to grade them. Therefore, the professor would be able to grade 5/2 essays in one hour, and her assistant would be able to grade 7/3 essays in one hour.
Now, set up your equation.
5/2x + 7/3x = 40
Since x = number of hours spent grading, multiply that by the respective fractions we calculated earlier to get the number of essays they would grade in x hours. Set the equation equal to 40 as you are looking for 40 essays done.
Now, solve the equation. First, set a common denominator, add the two fractions together, then simplify.
5/2x + 7/3x = 40
15/6x + 14/6x = 40
29/6x = 40
x = 40/(29/6)
x = 40 * (6/29)
x = 240/29
x = about 8.3
Therefore, your answer is about 8.3 hours, or about 8 - 9 hours.
Hope this helps!
3. Any number you choose between 7 and 3
4. Any number you choose below 8
Answer:
53.44 cubic meters
Step-by-step explanation:
A cylindrical oil drum is 2.1 meters high and has a radius of 0.9 meters. How many cubic meters of oil can the drum hold? (volume)
Volume of a cylinder = π × r² × h
r = 0.9 meters
h = 2.1 meters
= π × (0.9m)² × 2.1m
= 53.44 cubic meters
Therefore, the volume of the cylindrical oil drum = 53.44 cubic meters