An artificial lake is in the shape of a rectangle and has same area of 9/20 square mile. The width of the lake is 1/5 the length of the lake. what are the dimensions of the lake?

Answers

Answer 1

Answer: You are given an artificial lakes’ shape of a rectangle having an areaof 9/20 square mile and width of 1/5 length of the lake. You are required tolook for the dimensions of the lake. The area of a rectangle is length timeswidth. So,
Area = length * width
Since width = 1/5 length
Area = length * 1/5 length
Area is 9/20 square mile,
9/20 square mile = 1/5 * square length
Square length = 9/4 square mile
Length = 3/2 mile

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Multiply(4a3)(a2)

Question 3 options:

4a5

−12a5

−4a5

12a5

Answers

Answer:

4a5

Step-by-step explanation:

(4a3)(a2)

Remove the brackets. Remember brackets mean to multiply.

4a^3*a^2

4a^3*a^2= 4a^3 + a^2

= 4a^5

Answer:

4a⁵

Step-by-step explanation:

(4a³)(a²)

4a³ × a² = 4a³⁺² = 4a⁵

-TheUnknownScientist

Today is my exams guys. Pls helpA merchant borrowed Rs. 2000 from two money lenders. For one loan, he paid the interest at
8% per annum and for the other 6% per annum. The total
interest paid for one year was Rs. 135. How much did he
borrow at each rate?

Answers

Rs 750 was borrowed at 8 % interest rate and Rs 1250 was borrowed at 6 % interest rate

Solution:

A merchant borrowed Rs. 2000 from two money lenders

Let the sum at 8 % be x

Then, the sum at 6 % be 2000 - x

The total interest paid for one year was Rs. 135

8 % of x + 6 % of (2000 - x) = 135

$(8)/(100) * x + (6)/(100) * 2000 - x = 135\n\n0.08x + 0.06 (2000 - x) = 135\n\n0.08x + 120 - 0.06x = 135\n\n0.02x = 135 - 120\n\n0.02x = 15$

Divide both sides by 0.02

x = 750

Then,

2000 - x = 1250

Thus, Rs 750 was borrowed at 8 % interest rate and Rs 1250 was borrowed at 6 % interest rate

Can u please show me the work to 67,473 divided by 32

Answers

This is the answer to 67,473 divided by 32. I hoped this helped. I used colors to hopefully help you more.

Felicia’s mother is four times as old as Felicia. In 16 years, her mother will be twice her age. How old is Felicia now?

Answers

Answer:

Step-by-step explanation:

Now:16 x 2 = 32

16 years:32 x 2 =64

64 / 2 = 32

Answer:

Felicia is currently 8 years old.

Step-by-step explanation:

F=x FM=4x

4x+16=2x+0

4x=2x-16

4x/2x=2x/2x-16

2x=-16

x= (+-)8

Now double check

8yrs+16yrs=24

32yrs+16yrs=48

24 x 2 =48

Contact me if you have any questions.

10 less than the quotient of g and 3

Answers

Answer:

Given that: 10 less than the quotient of g and 3.

"The quotient of" is a, / (division) operation.

" the quotient of g and 3" is translated to $(g)/(3)$

so, " a Less than b " translated to b - a

Then;

"10 less than the quotient of g and 3" means $(g)/(3) -10$

Therefore, the algebraic expression of 10 less than the quotient of g and 3 is, $(g)/(3) -10$

(g/3)-10
That is the mathematical expression.
Hope this helps.

Order 3/8,3/4,1/2,5/6 from least to greatest

Answers

To solve this, it is easiest to find the least common multiple of the denominators which is 24. Now we can rewrite our fractions.
$(3)/(8)$ = $(9)/(24)$
$(3)/(4)$ = $(18)/(24)$
$(1)/(2)$ = $(12)/(24)$
$(5)/(6)$ = $(20)/(24)$

Now these fractions can be put in order:
$(9)/(24)$ , $(12)/(24)$ , $(18)/(24)$ , $(20)/(24)$

Reduce and you have your answer.
$(3)/(8)$ , $(1)/(2)$ , $(3)/(4)$ , $(5)/(6)$

To order these, we need to get all of the to a common denominator.

3*3 = 9
8*3 = 24

9/24

3*6 = 18
4*6 = 24

18/24

1*12 = 12
2*12 = 24

12/24

5*4 = 20
6*4 = 24

20/24

Now, analyze these fractions and compare their numerators.

20/24 , 12/24 , 18/24 , 9/24

The least: 9/24
Greatest: 20/24

Final answer:

3/8 , 1/2 , 3/4 , 5/6

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7.980 divided on 0.19

3 3%4×2 4%5 anything with a % in between is a fraction

X + 7/8 = 4 A.x = 4 7/8 B.x = 3 1/8 C.x = - 3 1/8 D.x = - 4 7/8