What is the reciprocal of 4.5? And after I get the reciprocal how did they get 2 over 9 for the answer?

Answers

Answer 1

Answer: so 4.5 is equal to 4 and 1/2
u can convert that to 9/2
then to get the reciprocal you flip the denominator and numerator
this gives u 2/9

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Solve. Good luck! Please do not try to google this. $(x^2+x-2)/(6x^2-3x) = √(2x) + (3x^2)/(2)$

Answers

$(x^(2) + x - 2)/(6x^(2) - 3x) = √(2x) + (3x^(2))/(2)$
$(x^(2) + 2x - x - 2)/(3x(x) - 3x(1)) = (2√(2x))/(2) + (3x^(2))/(2)$
$(x(x) + x(2) - 1(x) - 1(2))/(3x(x - 1)) = (2√(2x) + 3x^(2))/(2)$
$(x(x + 2) - 1(x + 2))/(3x(2x - 1)) = (2√(2x) + 3x^(2))/(2)$
$((x - 1)(x + 2))/(3x(2x - 1)) = (2√(2x) + 3x^(2))/(2)$
$((x - 1)(x + 2))/(3x(2x - 1)) = (2√(2x) + 3x^(2))/(2)$
$3x(2x - 1)(2√(2x) + 3x^(2)) = 2(x + 2)(x - 1)$
$3x(2x(2√(2x) + 3x^(2)) - 1(2√(2x) + 3x^(2)) = 2(x(x - 1) + 2(x - 1))$
$3x(2x(2√(2x)) + 2x(3x^(2)) - 1(2√(2x)) - 1(3x^(2))) = 2(x(x) - x(1) + 2(x) - 2(1)$
$3x(4x√(2x) + 6x^(3) - 2√(2x) - 3x^(2)) = 2(x^(2) - x + 2x - 2)$
$3x(4x√(2x) - 2√(2x) + 6x^(3) - 3x^(2)) = 2(x^(2) + x - 2)$
$3x(4x√(2x)) - 3x(2√(2x)) + 3x(6x^(3)) - 3x(3x^(2)) = 2(x^(2)) + 2(x) - 2(2)$
$12x^(2)√(2x) - 6x√(2x) + 18x^(4) - 9x^(3) = 2x^(2) + 2x - 4$
$12x^(2)√(2x) - 6x√(2x) = -18x^(4) + 9x^(3) + 2x^(2) + 2x - 4$
$6x√(2x)(2x) - 6x√(2x)(1) = -9x^(3)(2x) - 9x^(3)(-1) + 2(x^(2)) + 2(x) - 2(2)$
$6x√(2x)(2x - 1) = -9x^(3)(2x - 1) + 2(x^(2) + x - 2)$

Final answer:

To solve the given equation, first simplify both sides. Factor the numerator and denominator on the left side, then solve the quadratic equation obtained.

Explanation:

To solve the given equation:

$(x^2+x-2)/(6x^2-3x) = √(2x) + (3x^2)/(2)$

First, we need to simplify both sides of the equation. By factoring the numerator and denominator of the left side, we get:

x+22x.

Next, we can simplify the equation further by multiplying both sides by 2x. Finally, we solve the quadratic equation obtained by moving all terms to one side:

2x+4.

Therefore, the solution to the given equation is x = -2.

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Mike and Kate plan to save money for their wedding over a 20 month period. They will need to save $8,000 to help pay for the wedding. They set aside the same amount each month. After a year they saved $4,000. Mike and Kate know they must adjust their plan in order to meet their goal, so they came up with the following options:Option A: Stay with saving the same amount they've been saving each month but postpone the wedding 2 months.
Option B: Increase the amount of money they save each month by $80 from what they've been saving.
Which of the following is a true statement?
a.
Only option A will allow them to meet their goal.
b.
Only option B will allow them to meet their goal.
c.
Both options A and B will allow them to meet their goal.
d.
Neither option A nor option B will allow them to meet their goal.

Please select the best answer from the choices provided

A
B
C
D

Answers

D is the correct answer. Mike and Kate require $8000 for their wedding and have saved $4000 already, so they need a further $4000. They have saved the money over 12 months, which means they have been saving $333.33 every month (4000/12). In Option A they have 10 months to save money - the original 8 months, plus the 2 months the wedding is postponed. This will give them the chance to save $3333.33 (333.33 x 10). In Option B, they can increase their monthly savings by $80, giving them total monthly savings of $413.33 (333.33 + 80). In the remaining 8 months before the wedding, they will be able to save $3306.66 (413.33 x 8). However, neither of these options give them the $4000 required to make their $8000 budget.

Answer:

Step-by-step explanation:

There are 3x-2 trees planted in each row of a rectangular Parcel of land. If there are a total of 24x-16 trees planted and the parcel, how many rows of trees are there in the parcel?

Answers

Let's call the number of rows 'R' . (Clever ?)

There are (3x -2) trees in each row, and there are 'R' rows,
so the total number of trees is [ R times (3x-2) ].

But the problem told you that the total number of trees is (24x-16).
So
   R(3x - 2) = (24x - 16)

For a quick, happy ending, how about factoring '8' out of the right side:

   R(3x - 2) = 8(3x - 2)

Is it jumping out at you yet ?
If not, then divide each side by (3x - 2) :

   R = 8

There are eight (8) rows of trees.

Final answer:

To find the number of rows of trees in the parcel, we set up the equation (Number of rows) * (3x - 2) = 24x - 16. By solving this equation for the number of rows, we find that it equals (24x - 16) / (3x - 2).

Explanation:

The question is about determining the number of rows in a rectangular parcel of land with trees. It is given that each row has 3x-2 trees and the total is 24x-16 trees. We can set an equation based on this information: (Number of rows) x (Number of trees in each row) = Total number of trees. This gives us the following equation: (Number of rows) * (3x - 2) = 24x - 16. Solving for the number of rows, we divide each side of the equation by 3x - 2. Hence, the number of rows equals (24x - 16) / (3x - 2).

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Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box costs $5.00. At the end of one week, she collected $97.50, selling a total of 24 boxes. The system of equations that models her sales is below. x+ y= 24 3.50x + 5.00y = 97.50 Solve the system of equations. How many 10 oz. boxes were sold? a. 6
b. 9
c. 12
d. 15

Answers

we have to solve simultaneous equations.

x = 10 oz. boxes

y = 16 oz. boxes

simultaneous equations

x + y = 24 ---1)

3.50x + 5.00y = 97.50 ----2)

to solve for x we need to eliminate y, therefore we have to multiply 1st equation by 5

5x + 5y = 120 --3)

subtract 3) - 2)

5x - 3.50x = 120 - 97.50

1.50x = 22.5 x = 15

number of 10 oz. boxes are 15. answer is d.15

Answer:

d is the correct answer

Step-by-step explanation:

Given the equation Square root of 8x plus 1 = 5, solve for x and identify if it is an extraneous solution.

Answers

It depends if you mean $√(8x) +1=5$ or $√(8x+1) = 5$

$√(8x) +1=5$

Subtract 1 from both sides.

$√(8x) =4$

Take the square root of both sides.

8x = sqrt(4)
8x = 2
x = 1/4.

Plugging it back in:
sqrt(8*0.25) + 1 = 5
sqrt(2) = 4

This is not true because the square root of 2 is about 1.41, which does not equal 4.
So it is an extraneous solution.
__________________________________________
$√(8x+1) = 5$
Square both sides.
8x + 1 = 25
8x = 24
x = 3

Not extraneous because equation works out when you plug x back in.

WHAT IS 4.9% AS A DECIMAL AND A FRACTION

Answers

4.9% as a decimal is 0.049
4.9% as a fraction is 4 9/10
(four and nine - tenths )

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