W + y = 30......w = 30 - y
11.95w + 12.50y = 364.55
11.95(30 - y) + 12.50y = 364.55
358.50 - 11.95y + 12.50y = 364.55
-11.95y + 12.50y = 364.55 - 358.50
0.55y = 6.05
y = 6.05 / 0.55
y = 11 <=== there were 11 yellow sweatshirts sold
w + y = 30
w + 11 = 30
w = 30 - 11
w = 19 <=== there were 19 white sweatshirts sold
Answer:
0
Step-by-step explanation:
25+x=25x
25-25=0
y=0
Answer:
6.51 cm
Step-by-step explanation:
Since the sphere causes the water level in the cylindrical container to rise and thus increase by its own volume, the volume of the sphere is V = 4πr³/3 where r = radius of sphere. The volume rise of the container is thus V' = πR²h where R = radius of base of cylinder = 7 cm and h = height of water level = 7.5 cm.
Since V = V',
4πr³/3 = πR²h
dividing through by π, we have
4r³/3 = R²h
multiplying both sides by 3/4, we have
r³ = 3R²h/4
taking cube-root of both sides, we have
r = ∛(3R²h/4)
Substituting the values of the variables into the equation, we have
r = ∛(3(7 cm)² × 7.5 cm/4)
r = ∛(3 × 49 cm² × 7.5 cm/4)
r = ∛(1102.5cm³/4)
r = ∛(275.625 cm³)
r = 6.508 cm
r ≅ 6.51 cm to 2 decimal places
Answer:
x = -3/2
x = -1/2
Step-by-step explanation:
4x^2 + 8x + 3
4x^2 + 2x + 6x + 3
2x(2x+1) + 3(2x+1)
(2x + 3) (2x + 1)
x = -3/2
x = -1/2
<span>There are 52 weeks in a year. Being paid biweekly means being paid every other week, or 26 times a year.
$567.20 * 26
There are 12 months in a year. If Mary is paid semimonthly, she is paid twice a month, or 24 times a year.
$56,780 / 24</span>
