Answer:
-9
Step-by-step explanation:
-3x+y=-7
-3x+y-2
-7-2=-9
Answer:
5 pounds
Step-by-step explanation:
40 divided by 8 = 5
Answer:
28π cm²
Step-by-step explanation:
The surface of a cylinder is given by the formula:
where r is the radius of the base, and h is the height.
Using the image, we can find that the radius of the cylinder would be 2 cm, and the height would be 5 cm.
Now, to find the surface area of the cylinder, we would have to plug in 2 for r (the radius of the base) and 5 for h (the height of the cylinder) into the formula for the surface area of a cylinder.
Now we plug in 2 for r and 5 for h for the equation for the surface area of a cylinder:
2π(2)(5) + 2π(2)² = 20π + 2π(4) = 20π + 8π = 28π
Remember, the radius and the height are given to us in cm, and w are solving for surface area, so the answer should be in cm² (square centimeters).
The surface area of the cylinder would be 28π cm².
28π cm² would be an exact answer. For the approximate answer, plug in 3.14 (most math classes use 3.14 to approximate π) for π.
I hope you find this helpful. :)
Answer:
60
Step-by-step explanation:
last year 1/5 of the class played sports, so s = (1/5) c
the next year, s increased by 5, c increased by 10 and the fraction changed to 1/4, so for the next year (s+5) = (1/4)(c+10)
To solve this we can substitute s = (1/5)c from the first equation into the second, so
((1/5)c + 5)=(1/4)(c+10), simplify both sides
(1/5)c + 5 = (1/4)c + 10/4, simplify 10/4 to 5/2
(1/5)c + 5 = (1/4)c + 5/2, multiply both sides by 20 to eliminate fractions (least common multiple of 2, 4 and 5)
4c + 100 = 5c + 50, subtract 4c, subtract 50 from both sides
50 = c, number of students in class last year was 50, this year is 10 more, so this year is 60
