Because either way you still get an answer that defines whether it has infinitely many solutions, or if it has no solution.
2.8y + 6 + 0.2y = 5y – 14
Answer:
Step-by-step explanation:
Simplifying
2.8y + 6 + 0.2y = 5y + -14
Reorder the terms:
6 + 2.8y + 0.2y = 5y + -14
Combine like terms: 2.8y + 0.2y = 3y
6 + 3y = 5y + -14
Reorder the terms:
6 + 3y = -14 + 5y
Solving
6 + 3y = -14 + 5y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-5y' to each side of the equation.
6 + 3y + -5y = -14 + 5y + -5y
Combine like terms: 3y + -5y = -2y
6 + -2y = -14 + 5y + -5y
Combine like terms: 5y + -5y = 0
6 + -2y = -14 + 0
6 + -2y = -14
Add '-6' to each side of the equation.
6 + -6 + -2y = -14 + -6
Combine like terms: 6 + -6 = 0
0 + -2y = -14 + -6
-2y = -14 + -6
Combine like terms: -14 + -6 = -20
-2y = -20
Divide each side by '-2'.
y = 10
Simplifying
y = 10
Answer:
y= 11
Step-by-step explanation:
we have:
2.8y + 6 + 0.2y = 5y – 14
or 3y + 6 = 5y -14
and 3y + 6 - 6 = 5y -16 -6
and 3y = 5y -22
and 3y - 5y = -5y +5y -22
so -2y = -22
finally y = -22/-2
or y=11
Hope that useful for you.
If Whitley park is a rectangular park with a perimeter of 70 yards. One side of Whitley park is 18 feet long then 174 yards is the area.
Area of rectangle is length times of breadth.
We know that 18 feet=6 yards.
It is given that One side of Whitley park is 18 feet long, so one side of length is 6 yards.
2(Lenght+breadth)=70
2(L+6)=70
2l+12=70
2l=70-12
2l=58
l=29 yards
Now
Area =Length×breadth
=29×6
= 174 square yards
Hence 174 square yards is the area of Whitley park.
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Answer:
174 yards squared
Step-by-step explanation:
Answer:
Each square should have 5 inches of side and area = 25 square inches.
Step-by-step explanation:
Candy box is made that measures 45 by 24 inches.
Let the squares of equal size x inches has been cut out of each corner.
The sides will then be folded up to form a rectangular box.
Now we have to find the size of square that should be cut from each corner to obtain maximum volume of the box.
Now the box is with length = (45 - 2x) inches
and width = (24 - 2x) inches
and height = x inches
Volume of the candy box = Length × width × height
V = (45 - 2x)(24 - 2x)(x)
V = x(1080 - 48x -90x + 4x²)
= x(1080 - 138x + 4x²)
= 4x³ - 138x² + 1080x
Now we will find the derivative of volume and equate it to zero.
12(x² - 23x + 90) = 0
x² - 23x + 90 = 0
x² - 18x - 5x + 90 = 0
x(x - 18) - 5(x - 18) = 0
(x - 5)(x - 18)=0
x = 5, 18
Now for x = 18 Width of the box will be = (24 - 2×18) = 24 - 36 = -12
Which is not possible.
Therefore, x = 5 will be the possible value.
Therefore, square having area 25 square inches should be cut out from each corner to get the maximum volume of candy box.
The size of the square that should be cut away from each corner to obtain the maximum volume for a box made from a cardboard measuring 45 by 24 inches is 3 inches.
To find the size of the square that should be cut from each corner to obtain the maximum volume, we should first make an equation for the volume of the box. If x is the length of the side of the square, then the dimensions of the box are (45-2x) by (24-2x) by x, thus the volume of the box V is (45-2x)(24-2x)x.
By using calculus, we can find the derivative of this function, set it to zero and solve, this will give the critical points where the maximum and minimum volumes will be.
The derivative is found to be -4x^2 + 138x - 1080. Setting this to zero and solving, we find that x = 3 and x = 90 are the critical points for the maximum and minimum volumes. Since we cannot cut corners more than 24 inches (this would make the width negative), x = 3 inches is the only feasible solution.
So, 3 inches should be cut away from each corner to obtain the maximum volume.
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To reach a savings goal of $300,000 at the end of 25 years, you need to invest approximately $4,206.42 semiannually with a 5% interest rate compounded semiannually.
To calculate the amount of money you need to invest semiannually to reach a savings goal of $300,000 at the end of 25 years, you can use the formula for the future value of an annuity:
FV = P * ((1 + r/n)^(n*t) - 1) / (r/n)
Where FV is the future value, P is the amount you need to invest each period, r is the interest rate per period (5% in this case), n is the number of compounding periods per year (2 for semiannual compounding), and t is the number of years.
Inserting the given values into the formula:
FV = P * ((1 + 0.05/2)^(2*25) - 1) / (0.05/2)
Solving for P:
P = FV * (r/n) / ((1 + r/n)^(n*t) - 1)
Substituting the values:
P = 300,000 * (0.05/2) / ((1 + 0.05/2)^(2*25) - 1)
Calculating the value of P, we find:
P ≈ 4206.42
Therefore, you need to invest approximately $4,206.42 semiannually to reach your savings goal of $300,000 in 25 years.
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X
1 1 2 2 3 3 4
FX) -1 3 4 0 5 1 6
Label:
Explanation:
Answer:
Not a function
Step-by-step explanation:
Each input can have only have one output.
x(1) can't equal both -1 and 3 at the same time.
x(2) can't equal both 4 and 0 at the same time.
x(3) can't equal both 5 and 1 at the same time.
In other words there can't be multiple X's equalling different things.