How do you change a fraction into a decimal

Answers

Answer 1

Answer: you divide the top fraction and the bottom fraction and that will get you your decimal

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Simplify the following: a) ((w^-5)/(w^-9))^1/2
b) (m^6)^-2/3
c) (3x^-4y^5)/((2x^3y^-7))^-2

Answers

a. $((w^(-5))/(w^(-9) ))^{ (1)/(2) } \n ( (w^(9) )/(w^(5) ))^{ (1)/(2) } \n (w^(9-5))^{ (1)/(2) } \n (w^(4))^{ (1)/(2) } \n \sqrt{w^(4) } \n w^(2)$
b. $(m^(6))^{ (-2)/(3) } \n ((1)/(m^(6) ))^{(2)/(3) } \n \frac{ \sqrt[3]{1^(2) } }{ \sqrt[3]{m^(6) }^(2) } \n \frac{ \sqrt[3]{1} }{m^(2*2) } \n (1)/(m^(4) )$
Hope this helps!

Problem A
$((w^(-5))/(w^(-9)))^{{(1)/(2)}$ = $((w^(9))/(w^(5)))^{{(1)/(2)}$ = $(w^(4))^{{(1)/(2)}$ = $\sqrt[2]{w^(4)}$ = $w^(2)$

Problem B
$(m^(6))^{-(2)/(3)}$ = $\frac{1}{(m^(6))^{(2)/(3)}}$ = $\frac{1}{\sqrt[3]{(m^(6))^(2)}}$ = $\frac{1}{\sqrt[3]{m^(12)}}$ = $(1)/(m^(4))$

Problem C
$((3x^(-4)y^(5))/(2x^(3)y^(-7)))^(-2)$ = $((3y^(12))/(2x^(7)))^(-2)$ = $((3y^(12))^(-2))/((2x^(7))^(-2))$ = $((2x^(7))^(2))/((3y^(12))^(2-))$ = $(4x^(14))/(9y^(24))$

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:

Find the quotient -88, 11

Answers

The quotient is 8 because 11*8 is 88

How many whole dollars can you make with 248 pennies? how many cents are left over

Answers

two dollars: and 48 cents will be left over

2 dollars 48 cents
There is 100 cents in a dollar.

Use summation notation to write the series2+4+6+8+... For 10 terms

Answers

that would be:
[tx]
$\sum_{n=1}^{10} 2*n$
[/tex]

12.28 as a mixed number

Answers

12.28 is equal to 12 + 0.28. Since 0.28 is read as "twenty-eight hundredths", that's exactly how we write it in fractions: 28/100. Next, we need to simplify the fraction into its simplest form by looking for number that can be divided to both numerator and denominator. Hence, we have 12.28 = 12 + 28/100 = 12 + 7/25 = 12 7/25. Answer is 12 7/25.

Answer: 12 7/25

Just got this on khan and this was the right answer!

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What is the square root of 2?