Answer:
Step-by-step explanation:
3x^2 * 2x^3= 6x^5
Multiply the 3 and 2 to get 6. Add the exponents.
There is 6.74 quarts left in the cooler.
Since 5 of the glasses have a capacity of 0.36 qt, this is a total of 5(0.36) = 1.8 qt. The 8 glasses that have a capacity of 0.52 qt have a total of 8(0.52) = 4.16 qt. This gives a total of 4.16+1.8 = 5.96 qt.
To find the remaining, subtract from 12.7:
12.7-5.96 = 6.74 qt.
Answer:
i) k = 36.8
ii)y = 36.8/square root of x
iii)y = 1.4
Step-by-step explanation:
If y is inversely proportional to square root of x;
then the two variables are related by,
y = k/ square root of x
i)Value of k when...x = 8 and y = 13,
substitute into the equation above..so as to find the value of k
13 = k/square root of 8
;k = 13 × square root of 8
;k = 36.8
ii)Then substitute the value of k with...36.8
y = 36.8/square root of x
iii)If x = 27...then y =;
y = 36.8/27
y = 1.4
Answer:
b/(b+a)
Step-by-step explanation:
(1/a)-(1/b) :[ (b²-a²)/ab²]
first solve :
common denominator ab
(1/a)-(1/b) = (b-a)/ab
[b-a/ab] : [(b²-a²)/ab²]
when divide fraction ( division sign turn to (×) and flip the second fraction(reciprocal):
[b-a/ab] × [ab²/ (b²-a²)]
then simplify : ab²/ab = b
(b-a)×(b/b²-a²)
factorize : b²-a² = (b-a)(b+a)
(b-a)×(b/(b-a)(b+a)) simplify : (b-a)/b-a = 1
[(b-a)(b)]/[(b-a)(b+a)
b/b+a
A = LW....L = A/W
A = 93.5
W = 8.5
L = 93.5 / 8.5
L = 11....the length of the cake is 11 inches
