Answer:
5x + 2y = 3280
x+y = 785
x = 785 - y
5*(785 - y) + 2y = 3280
3925 - 5y + 2y = 3280
3925 - 3280 - 3y = 0
645 = 3y
y=645/3=215
x=785-215 = 570
Adults - 570 tickets, childs - 215 tickets.
570*5 + 215*2 = 3280
570 adult and 215 child and 3,280 in total
if i could get brainliest that would be great
Answer:
Step-by-step explanation:
we know that
To find out how much fabric Jen has left for the shorts, subtract the yards of fabric used in her new dress from the total yards of fabric Jen has.
so
Convert mixed number to an improper fraction
substitute
Convert to mixed number
Answer:
30 feet is represented by 3 3/4 inches on the drawing
Step-by-step explanation:
We have the relation as;
1 inch = 8 feet
Thus;
3 3/4 inches = x feet
x = 3 3/4 * 8
x = 15/4 * 8
x = 30 feet
Answer:
the original volume is lesser than the new volume by 242.47 in³
Step-by-step explanation:
Volume of a cone is;
V = ⅓πr²h
Where;
r is radius
h is height
For the original chamber;
r = 5.7/2 = 2.85 inches
h = 12 inches
Volume of this original chamber is;
V_orig = ⅓ × π × 2.85² × 12
V_orig = 102.02 in³
In the new design, the chamber is scaled by a factor of 1.5.
Thus;
r_new = 2.85 × 1.5 = 4.275 inches
h_new = 12 × 1.5 = 18 inches
V_new = ⅓ × π × 4.275² × 18
V_new = 344.49 inch³
V_new - V_orig = 344.49 - 102.02 =
Thus, the original volume is lesser than the new volume by 242.47 in³
