MATHEMATICS HIGH SCHOOL

the perimeter of a rectangular field is 326 yards. if the width of the field is 75 yards, what is its length?

Answers

Answer 1
Answer: Perimeter = (2*length) + (2*width)
326 = (2*length) + (2*75)
326 - 150 = 2*length
2*length = 176
length = 176 / 2
length = 88

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MIDDLE SCHOOL

S-rs=a-ar5 how do i solve for s

Answers

Answer:

The value of s in the given equation is

Therefore

Step-by-step explanation:

Given equation is

To find the value of s :

Taking common term "s" outside in LHS and common term "a" outside in RHS

Dividing by (1-r) on both sides we get

Therefore the value of s in the given equation is

Therefore

MIDDLE SCHOOL

It costs $5.15 to rent a kayak for 1 hour at a local state park. The price per hour stays the same for up to 5 hours of rental. After 5 hours, the cost is decreased to $3.75 per hour. How much would it cost to rent a kayak for 6 hours?

Answers

5.15 x 5 = 25.75

25.75 + 3.75 = 29.5

So your answer is $29.50

Hope it helps! :D

MIDDLE SCHOOL

Which expression can be used to show a 40% discount on an item costing $74 plus 7% tax?

Answers

The final price inculding tax after discount is $ 47 and expression used is:

Required expression = price of item - discount price + tax on item

Solution:

Given that 40% discount on an item costing $74 plus 7% tax

So cost of item = $ 74

Tax = 7 %

Discount = 40 %

The expression which can be used to find price after discount including tax is:

Required expression = price of item - discount price + tax on item

Let us first find the price after discount

Price after discount = cost of item - 40 % of cost of item

Price after discount = 74 - 40 % of 74

Thus the price after discount is approximately $ 44

Now tax is 7 % which means 7 % of $ 44

Price including tax = 44 + 7 % of 44

Price including tax  =

Thus the final price inculding tax after discount is $ 47

The final price inculding tax after discount is $ 47 and expression used is:

Required expression = price of item - discount price + tax on item

Solution:

Given that 40% discount on an item costing $74 plus 7% tax

So cost of item = $ 74

Tax = 7 %

Discount = 40 %

The expression which can be used to find price after discount including tax is:

Required expression = price of item - discount price + tax on item

Let us first find the price after discount

Price after discount = cost of item - 40 % of cost of item

Price after discount = 74 - 40 % of 74

Thus the price after discount is approximately $ 44

Now tax is 7 % which means 7 % of $ 44

Price including tax = 44 + 7 % of 44

Price including tax  =

Thus the final price inculding tax after discount is $ 47

MIDDLE SCHOOL

A radio active isotope decays according to the exponential decay equation where t is in days. Round to the thousandths place. For the half life: The half life is the solution (t) of the equation : a2=ae−7.571t a 2 = a e − 7.571 t

Answers

The decay function is

where
a₀ = initial mass
t = time, days

At half life, a(t) = a₀/2, therefore the time required to achieve half life is given by the equation


Take natural log of each side.
ln(1/2) = -7.571 t

Divide each side by -7.571 to obtain


Answer: 0.0192 days (nearest thousandth)
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