MATHEMATICS HIGH SCHOOL

A dime weighs 50% as much as a nickel does what is the weight of a dime?

Answers

Answer 1
Answer:

It's weight would be: x*150 / 100

Where, x= weight of nickel
Answer 2
Answer:

Final answer:

A nickel weighs 5 grams. As a dime is said to weigh 50% as much as a nickel, we calculate 50% of 5 to find the weight of the dime, which gives us 2.5 grams.

Explanation:

The subject of this question is in the context of Mathematics, more specifically proportional relationships. The weight of a nickel is 5 grams. As mentioned, a dime weighs 50% less than a nickel. So to find the weight of the dime, we calculate 50% of 5 grams.

First, to find 50%, we need to divide by 100 and then multiply by 50. That is: (5 / 100) * 50 = 2.5 .

So, a dime weighs 2.5 grams. Always remember, weight measurements can have slight variations depending upon measurement techniques and tools used. For instance, if you place a coin on a standard electronic balance, you may obtain a weight of 2.5 g with a nominal uncertainty in the measurement of ± 0.01 gram. However, in a general sense for our calculation with given data, the weight of a dime is indeed 2.5 grams.

Learn more about Proportional Relationships here:

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the sum of the interior angles of a polygon is 540. determine and state the number of degrees in one interior angle of the polygon.

MATH HELP MIDPOINT…..

Answers

Step-by-step explanation:

Going from  V to M :

 x   goes from   13 to 7      or a change of  -6    go  -6 more to reach U, x  = 1

 y goes from   8 to 12    or a change of + 4   go +4 more to reach U, y  = 16

U = (1,16)

How do I get the answer to 3(-2-3x)=-9x-4

Answers

First, eliminate the parentheses on the left side. Then, add 9x to each side. When you've gone that far, you'll see that this equation has no solution.

If you divide an inheritance of $45,600.00 among 22 heirs, each heir will receive A. $207.27.
B. $2,072.73.
C. $2,027.27.
D. $2,073.72.

Answers

The amount each heir will receive after the inheritance is divided is given by A = $ 2072.73

Given data ,

Let the total amount of inheritance be represented as I

where the value of I = $ 45,600.00

Now , the total number of heirs = 22 heirs

So , the amount of inheritance each heir will receive is A

where A = total amount of inheritance / total number of heirs

On simplifying the equation , we get

A = $ 45,600.00 / 2

A = $ 2072.73

Hence , the inheritance shared is A = $ 2072.73

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45600 ÷ 22 = 2072.73

answer B

In which of the following stores would you pay the least amount for an item that is priced $360? Store A: Sale of 10% off and a successive discount of 10% off. Store B: Sale of 15% with no additional discount. Store C: Sale of $35 off and a successive discount of 10% off

Answers

The right answer for the question that is being asked and shown above is that: "A: Sale of 10% off and a successive discount of 10% off." The store that would let you pay the least amount for an item that is priced $360 is the Store A.

The correct answer is Store A: Sale of 10% off and a successive discount of 10% off.

Further explanation:

Discount is the reduction of amount in the cost price of any item.

The following formula for discount can be used when the rate of discount and the cost price is given.

\boxed{{\text{Discount}}=\left( {\frac{{{\text{rate of discount}}}}{{100}}}\right)*{\text{cost price}}}

The following formula for selling price can be used when the discount and the cost priceis given.

\boxed{{\text{Selling price}}={\text{Cost price}}-{\text{Discount}}}

Given:

The price of an item is \boxed{\$360}.

Calculation:

Store A is allowing 10% off and then allowing a successive discount of 10%.

The first discount of an item by the use of the formula can be calculated as,

\begin{aligned}{\text{discount}}&=\left( {\frac{{10}}{{100}}}\right)* 360\n&= 36\n\end{aligned}

Now, the selling price after allowing the first discount is,

\begin{aligned}{\text{Selling price}}&={\text{360}}-36\n&=324\n\end{aligned}

The successive discount on the item can be calculated as,

\begin{aligned}{\text{discount}}&=\left( {\frac{{10}}{{100}}}\right)*324\n&=32.4\n\end{aligned}

Now, the selling price after allowing second discount is,

\begin{aligned}{\text{Selling price}}&={\text{324}}-32.4\n&=291.6\n\end{aligned}

Therefore, the amount we have to pay to Store A is \boxed{\$291.6}.

Store B is giving 15% off with no additional discount.

The discount of an item by the use of the formula can be calculated as,

\begin{aligned}{\text{discount}}&=\left( {\frac{{15}}{{100}}}\right)*360\n&=54\n\end{aligned}

Now, the selling price after allowing discount can be calculated as,

\begin{aligned}{\text{Selling price}}&={\text{360}}-54\n&=306\n\end{aligned}

Therefore, the amount we have to pay to Store B is \boxed{\$306}.

Store C is giving $35 off and then allowing a successive discount of  10%.

Now, the selling price after allowing first discount can be calculated as,

\begin{aligned}{\text{Selling price}}&={\text{360}}-35\n&=325\n\end{aligned}

The successive discount on the item can be calculated as,

\begin{gathered}{\text{discount}}=\left( {\frac{{10}}{{100}}}\right)*325\n=32.5\n\end{gathered}

Now, the selling price after deducting second discount can be calculated as,

\begin{aligned}{\text{Selling price}}&={\text{325}}-32.5\n&=292.5\n\end{aligned}

Therefore, the amount we have to pay to Store C is \boxed{\$292.5}.

It can be clearly seen that if we buy an item which is priced at $360 from Store A then we have to pay least amount of $291.6.

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Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Profit and Loss

Keywords: Percentage , profit , loss, discount, cost price, selling price, marked price, rate of discount, amount, succesive discount, reduction, maximum, price .

Determine whether each number is a solution of the given inequality.
3y-8<22

Answers


y has to equal 9 or less
3y-8 < 22
3y < 30
y < 10

Hope this helps!!

Help please! What is the distance between (-5, -6) and (-3, -8)?

Answer choices are on the picture below :)

Answers

so we take the square root of (x1-x2)^2+(y1-y2)^2
the plug in the Values
sqrt of (-5+3)^2+(-6+8)^2
sqrt of (-2)^2 +(2)^2
sqrt of 4+4
sqrt of 8

So D is your answer. :)
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