63 3(23)
----- could be re-written as --------------
35 5(7)
None of these factors {3, 23, 5, 7} is further factorable, and none cancel.
Thus, 63/35 has already been expressed in lowest terms.
You could rewrite 63/35 as a mixed number: 1 28/35
Answer:
Each side is 1/7 km
Step-by-step explanation:
The area of a square is given by
A = s^2
1/49 = s^2
Take the square root of each side
sqrt(1/49 ) = sqrt(s^2)
1/7 = s
Each side is 1/7 km
Answer:
Therefore, the burritos cost $3.50 each and the tacos cost $2.50 each.
I hope this helps!
Step-by-step explanation:
Let x denote the price of the burrito and y denote the price of the taco.
Note that two burritos and five tacos cost 2x + 5y and five burritos and two tacos cost 5x + 2y. Since, they cost $19.50 and $22.50, respectively:
2x + 5y = 19.5. . . . . . . . . . . . . . . . . . . . .(1)
5x + 2y = 22.5. . . . . . . . . . . . . . . . . . . . .(2)
Multiplying (1) by 5:
5(2x + 5y) = 5(19.5)
==> 10x + 25y = 97.5. . . . . . . . . . . . . . . . .(3)
Multiplying (2) by 2:
2(5x + 2y) = 2(22.5)
==> 10x + 4y = 45. . . . . . . . . . . . . . . . . . .(4)
Subtracting (4) from (3):
(10x + 25y) - (10x + 4y) = 97.5 - 45
==> 21y = 52.5
==> y = 2.5.
Substituting y = 2.5 in (4) gives:
10x + 10 = 45 ==> x = 3.5.
4(x+8) - 10 >= 42
4x + 32 - 10 >= 42
4x + 22 >= 42
4x >= 20
x >= 5 (true on number line)
answer is D. last one
Answer:
the height of the cone is 24 inches.
Step-by-step explanation:
formula to find height is h = √(s^2 - r^2), where h is the height, s is the slant height, and r is the radius.