MATHEMATICS HIGH SCHOOL

Toilet rolls come in packs of 4 and 9the 4 pack is priced at 2.04 pound
the 8 pack is prices at 3.68 pound
by calculating the price per roll, determine which pack is better value.
show your working

Answers

Answer 1
Answer:

Answer:

8 pack.

Step-by-step explanation:

For the 4 pack, price per roll =  2.04 / 4  =  £0.51

For the 8 pack, price per roll =  3.68 / 8  =  £0.46.

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8. John measured the diameter of four steel rods. Compare his measurements below. Which one is thelargest? A. 0.026 inch B. 0.25 inch C. 0.24 inch D. 0.025 inch 9. Kim works as a salesperson for a photo studio. To find his earnings for the week, he multiples his total sales by 0.175. His sales for the week of October 10 total $2,507.47. What did he earn for the week? (Round your answer to the nearest cent.) A. $438.81 B. $388.06 C. $880.60 D. $449.83
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A rectangular prism has length of 4 feet and a width of 7 feet. If the surface area of the prism is 188 square feet, what is its height?6 ft 5 ft 4 ft 3 ft

The length of a rectangle is 5 centimeters less than twice its width. The perimeter of the rectangle is 26 cm. What are the dimensions of the rectangle?A. length = 7 cm; width = 6 cm

B. length = 4 cm; width = 9 cm

C. length = 6 cm; width = 7 cm

D. length = 5 cm; width = 5 cm

Answers

"the length of a rectangle is 5 centimeters less than twice its width"
this translates to
L = 2W - 5

Perimeter = 2L + 2W = 26

we plug in L = 2W - 5 into 2L + 2W = 26
and get
2(2W - 5) + 2W = 26

distribute the 2
4W - 10 + 2W = 26

add like terms
6W - 10 = 26

add 10 to both sides
6W = 36

divide both sides by 6
W = 36 / 6 = 6

so the width = 6 cm

The only option with width = 6 cm is A
Therefore your answer is A

Henry deposits $25,000 into a savings account at Big City Bank. The bank pays a 2.25% simple interest. How much money will be in Henry’s account after 5 years?

Answers

Henry deposits $25,000 into a Big City Bank savings account. The bank charges a simple interest rate of 2.25%. After 5 years, Henry will have $27812.5 in his account.

What exactly is an interest rate example?

  • It is the annual rate charged for borrowing (or made by investing), expressed as a single percentage number that represents the actual yearly cost of funds over the loan's term.
  • For example, if you borrow $100 at 5% interest, you will pay back $105 to the lender. The lender will profit by $5.
  • Throughout your life, you may develop a variety of interests. Every loan has its own interest rate, which determines the total amount owed.
  • We can calculate the interest rate using the interest rate formula, which is the percentage of the principal amount charged by the lender or bank to the borrower for the use of its assets or money for a specific time period. Interest Rate = (Simple Interest 100)/(Principal Time) is the interest rate formula.

Given,

P = 25000   r = 2.25%  

t = 5

Replace the formula,

F = 25000 + 25000 × ( 2 .25/100) × 5

Calculate the quotient or product:

25000 × (1 + 0.1125)

Simplifying,

25000 × 1.1125

Calculate the quotient or product:

27812.5

Hence, After 5 years, Henry will have $27812.5 in his account.

To learn more about interest rate, refer to:

brainly.com/question/25793394

#SPJ2

Answer:

$27812.5

Step-by-step explanation:

2.25% = $562.5 each year

(c) Express the diagonal of a rectangle, D, in terms of its width, w, if the area of the rectangle is 13 square feet. D(w) =

Answers

we are asked to express the diagonal of a rectangle in terms of the width in which the area of the polygon is equal to 13 square feet. The area of teh rectangle is equal to length times width. That is 13 = lw; diagonal using pythagorean theorem is sqrt ( l2 + w2). Thus d =  sqrt ( (13/w)2 + w2) = sqrt ( (169/w2 + w2) = sqrt ( (169 + w4)/w2) = 1/w  sqrt (169 + w4)

Answer:

Hence, the diagonal of rectangle in terms of width(w) is:

D(w)=(√(169+w^4))/(w)

Step-by-step explanation:

Let the length of the rectangle=l

and width of the rectangle is:w.

We know that the diagonal D of the rectangle is given by with the help of the Pythagorean theorem as:

D=√(l^2+w^2)-------(1)

Also the area of rectangle(A) is given as:

A=l* w

Area of rectangle=13=l×w.

l=(13)/(w)

Hence putting the value of l in equation (1) we get:

D=\sqrt{((13)/(w))^2+w^2}=\sqrt{(13^2)/(w^2)+w^2}\n\nD=\sqrt{(169)/(w^2)+w^2}=\sqrt{(169+w^4)/(w^2)}=(√(169+w^4))/(w)

Hence, the diagonal of rectangle in terms of width(w) is:

D(w)=(√(169+w^4))/(w)

On a map, Julia's home is 8.5 in. from the library. If the map scale is 1 in.: 0.25 mi, how many miles from the library does Julia live?

Answers

Just multiply.

\sf8.5*0.25=\boxed{\sf2.125}
If the map scale is 1 inch: 0.25 miles, then we can multiply 0.25 x 8.5 to get our answer. 0.25 x 8.5 = 2.125, so Julia's home is 2.125 miles away from the library. :)

The value of the ratio of adults to children is 2/5. The ratio of adults to children is _____.10:5
5:2
2:5

Answers

Answer:

2:5

Step-by-step explanation:fraction sighn is equivilent to ratio sighn.

10 gallons of gasoline cost $30. The cost of gallons per gasoline is

Answers

Answer:

Step-by-step explanation:

$30/10  =  $3 per gallon
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