How would I solve 8^(3/2) * 2^(3/2) ?

Answers

Answer 1
Answer: the asnwer is 36 i think

the first mixed fraction would turn into 12 and the second would be 3, and 12 x 3 is 36

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The area of a trapezoid is 150 in squared if the height is 8 in. And the longer base is 23 in. What is the length of the shorter base ?

Answers

A=150in^2\n\nh=8in;\ a=23in;\ b=?\n\nA=(a+b)/(2)\cdot h\n\n(23+b)/(2)\cdot8=150\n\n(23+b)\cdot4=150\ \ \ \ /:4\n\n23+b=37.5\ \ \ \ /-23\n\nb=14.5\ (in)\leftarrow answer

If 10 cm on a map represents 25 km of actual ground, how many centimetres would 45 km of actual ground be on a map?

Answers

Answer:

The answer would be 20cm.

What is the reciprocal of 1/5 ?A.
–5

B.
-1/5

C.
1/5

D.
5

Answers

The answer is D. Because all that you do to get a reciprocal is flip the fraction and 1 isn't relevant when it's on the bottom so you drop it and it's just 5.

If a/4 = 9/a, then
a²=36
4a = 9a
a + 4 = 9 + a
a - 4 = 9 - a

Answers

Answer:

Option A is correct.

The given expression : (a)/(4) = (9)/(a) then;

a^2 = 36

Step-by-step explanation:

Given the expression: (a)/(4) = (9)/(a)

Cross multiplication the given expression following steps are as follow;

  • Multiply  numerator of the left-hand fraction by the denominator of the right-hand fraction
  • Also, Multiply numerator of the right-hand fraction by the denominator of the left-hand fraction.
  • then, set the two products equal to each other.

Using cross multiplication, on the given expression;

(a)/(4) = (9)/(a)

First multiply the numerator of the left hand fraction(i.e,a ) by the denominator of the right hand fraction (i,e a)

we have;

(a * a)/(4) = 9

Simplify:

(a^2)/(4) =9                              [1]

now, multiply numerator of the right-hand fraction( i.e, 9) by the denominator of the left-hand fraction (i.e, 4 ) in [1]

we have;

a^2 = 9* 4

Simplify:

a^2 = 36

Therefore, the given expression is equal to: a^2 = 36




The answer is a²=36

(a)/(4) = (9)/(a)
Multiply both sides of the equation by 4a:
4a*(a)/(4) =4a* (9)/(a)  \n a*a=4*9 \n  a^(2) =36

Ashley puts 45 stamps in an album. She puts the same number of stamps on each page,and 3 stamps on the last page. There are 2 more pages in the album than the number of stamps on each page. How many pages are in the album? How many stamps are on each page?

Answers

45 pages total
3 on last page
45-3=42
there are 42 on the rest of the pages
on each page, there are 2 more pages in album than then stamps on pages

amount of stamps on pages with equal number of stamps is
A=numberofpgest times number of stamps on pages
number of pages=p
number of stamps per papge=s
a=ps

2 more pages than stamps on pages
p=2+s
total number of stamps per page is s=(45-3)/(p-1)
(what I did is I first got rid of number of stamps on last page, then got rid of the last page)
P=2+s
s=(45-3)/(2+s-1)
s=42/(s+1)
times s+1 both sides
s^2+s=42
minus 42
s^2+s-42=0
factor
(s-6)(s+7)=0
set equal to zero
s-6=0
s=6

s+7=0
s=-7, false, no negative stamps


6 stamps per page

sub
p=2+s
p=2+6
p=8
8 pages

check
last page is 3 so 8-1=7 page left

7*6=42
3+42=45

correct


there are
8 pages in the album
6 stamps per page

Ann Nguyen would like an installment loan for 5,000. Her bank will loan her the money at 12% for 18 months. Her insurance company will loan her the money at 12% for 24 months. Which loan would cost her less?

Answers

The Bank will provide loan on lesser cost.

The simple interest is given as,

             Interest=(Principle*rate *time)/(100)

Given that, Principle is 5000 , rate is 12 % and time is 18 months.

Time = 18 months= (18)/(12)=1.5 years

              Interest=(5000*12*1.5)/(100)=900

Also, Her insurance company will loan her the money at 12% for 24 months.

           Interest=(5000*12*2)/(100) =1200

Hence, the Bank will cost her less.

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