Answer:
V = 36 1/4 in.^3
Step-by-step explanation:
V = LWH
L = 3 5/8 in.
W = 2 1/2 in.
H = 4 in.
V = (3 5/8)(2 1/2)(4) in.^3
Change the mixed numerals to fractions.
<em>To change the mixed numeral a b/c to a fraction, do this: </em>
<em>a b/c = (ac + b)/c</em>
V = (3 * 8 + 5)/8 * (2 * 2 + 1)/2 * 4/1
V = (24 + 5)/8 * (4 + 1)/2 * 4/1
V = 29/8 * 5/2 * 4/1 in.^3
V = 580/16 in.^3
V = 145/4 in.^3
V = 36 1/4 in.^3
The answer
the full the question is as follow:
<span>Which of the following is an extraneous solution of (45 - 3x)^1/2 =x -9
for solving such an equation, this is the method:
finding the squared value of each member of the equation
</span>[(45 - 3x)^1/2 ]² = (x -9)² (E)
<span>
extend each value of the member
</span>[(45 - 3x)^1/2 ]² = 45 - 3x, because (sqrt a )² = a
the condition is 45 - 3x≥0 ( because of the square root)
it means - 3x≥ -45 and x ≤ 15
(x -9)² = x²-18x + 81
<span>
so </span>45 - 3x = x²-18x + 81, this is equivalent to x² - 15x +36 =0
<span>
this equation should solve for x, for finding the help
Delta = 15² - 4*36 = 81, so x = - (-15) - sqrt (81) / 2 *1=15-9 /2= 3
and </span>x = - (-15) +sqrt (81) / 2 *1= 15 +9/2= 24/2=12
<span>
for x= 12, the equation given above ( equation E) has no solution, because
we can find 3=9
so </span><span>an extraneous solution is x = 12</span><span>
</span>
Answer: a=60, b= 50, c= 180-148=32, d=64, e=d=64, g=180-125=55 and since f=g then f=55, h= 76, I=h=76, j= 180-76= 104
Sorry I cannot explain why they are true because I only learn them in my language so I can’t explain them clearly in English but there is the answer
Answer:
number of trousers=14
numbers of pairs of stockings=71
Step-by-step explanation:
Pairs of stockings: x
T shirt: y
Trouseres: z
7x=3y
1z=1y+2×
__________________________________________
m: number of trousers
m*z=26y
m*(y+2x)=26y
m*(y+2(3y/7))=26y
m=26y/(y+2(3y/7))
m=14
You need to buy 14 trousers that represents the equivalent of 26 T-shirts.
__________________________________________
k:pairs of stockings
k*x=10y+11z
k*x=10(7x/3)+11(y+2x)
k*x=10(7x/3)+11((7x/3)+2x)
k=71
You need to buy 71 pairs of stockings with an amount equal to the price of 10 T-shirts and 11 trousers
