Answer:
g = 6
Step-by-step explanation:
3.8g + 8 = 1.8g + 20
Subtract 1.8g from both sides;
2g + 8 = 20
Subtract 8 from both sides;
2g = 12
Divide both sides by 2;
g = 6
You can check if the value of g is correct by plugging in the value of g to the equation. If your check does not it doesn't mean your answer is not correct because sometimes it can be a no solution equation which means that there is no solution to the equation.
Check:
3.8(6) + 8 = 1.8(6) + 20
22.8 + 8 = 10.8 + 20
30.8 = 30.8
It means its correct
Answer:
46.08 feet.
Step-by-step explanation:
Given that, for length, feet, the time period,
, of the pendulum is
.
As the time period equals the time taken by the pendulum in one back and forth motion, so, actually, the given seconds to swing back and forth is the time period.
Let feet be the length of the pendulum for the time period
seconds, so
[squaring on both the sides]
Hence, the approximate length of a pendulum that takes seconds to swing back and forth is 46.08 feet.
Answer:
the answer is d on edge 2020
Step-by-step explanation:
The answer is B
Step-by-step explanation:
3/4 + 1/8 =7/8
A.5/8 + 1/8 = 3/4
B.6/8 + 1/8 = 7/8
C.3/12 + 1/12 = 1/3
D.9/12 + 1/12 = 5/6
Answer:
Step-by-step explanation:
CF + FB = CB
(7x+4) +(10x-69) = (12x-25)
5x = 40 . . . . . . . . add 65-12x
x = 8 . . . . . . . . . . divide by 5
CF = 7x +4 = 7(8) +4 . . . . use the x value in the expression for CF
CF = 60
Answer:
400 ft^2
Step-by-step explanation:
It can be shown that a square area is the most efficient way in which to use fencing. If the area is not square, the area will inevitably be smaller.
Calculus is the tool most often used in higher math to solve optimization problems.
But the same goal can be achieved in this problem by working with constraints:
If x and y are the length and width respectively, then
2x + 2y = 80 ft, or x + y = 40, or x = 40 - y. This is one constraint.
The other constraint involves the area: A = x*y, or A = (40 - y)*y. To maximize this, we need to rewrite (40 - y)*y in standard form:
A = 40y - y^2, or, finally, A = -y^2 + 40 y. The coefficients of this quadratic are -1, 40 and 0; the axis of symmetry is thus
x = -b/ [2a], or, in this case, x = -40/[2*(-1)], or x = 20.
Thus, If x = 20, y = 20 also, proving that the shape of the enclosed yard is that of a square.
Then Mrs. L' 80 feet of fencing is sufficient to construct a 20 ft by 20 ft space, which comes out to a maximum area of 400 ft^2.
40 -
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
Initial cup of salt = 3/4 cups ; divided into small jars
Fraction of salt in small jars = 1/10 cup
Fraction left over = 1/7 cup
Number of jars filled?
The fraction divided into the jars :
Initial amount - left over
3/4 - 1/7
(21 - 4) / 28
17 / 28
Fraction of salt per jar = 1/10
Number of jars filled :
Total fraction divided into jars / fraction of salt per jar :
(17 / 28) ÷ (1 /10)
(17 / 28) * (10 / 1)
170 / 28
= 6.0714
= 6 jars
b.1/10
c.1/8
d.1/6