Find the coordinates of the midpoint of HX given that H(-1,3) and X(7,-1)A.(3,1)
B.(0,4)
C.(-3,1)
D.(-4,0)

Answers

Answer 1
Answer: The midpoint of AB where A(x_A;\ y_A) and B(x_B;\ y_B)

\left((x_A+x_B)/(2);\ (y_A+y_B)/(2)\right)

H(-1;\ 3);\ X(7;-1)

The midpoint of HX: \left((-1+7)/(2);\ (3+(-1))/(2)\right)=\left((6)/(2);\ (2)/(2)\right)=(3;\ 1)

Answer: A(3, 1)

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Davinci Digital Media’s wholesale price to the retailer for a digital video camcorder is $1,399.99. Manufacturing costs include $360.00 for production wages and benefits. Production wages and benefits are what percent of the wholesale price to the retailer?

Answers

If you would like to know what percent of the wholesale price to the retailer are production wages and benefits, you can calculate this using the following steps:

x% of $1,399.99 is $360.00 
x% * 1,399.99 = 360.00
x/100 * 1,399.99 = 360.00
x = 360.00 * 100 / 1,399.99
x = 25.71%

The correct result would be 25.71%.

Frank's bank charges a variable finance rate of 1.5 percent on purchases up to $100, and one percent for purchases over $100. If his unpaid balance is $354.15 this month, what is his finance charge?​

Answers

Answer:

Hi there, $4.04 should be his finance charge.

Step-by-step explanation:

HELP! a square field has an area of 479 ft squared. what is the approximate length of a side of the field? give your answer to the nearest foot. explain your answer.

Answers

An area of a square is side multiplied by side, so since 479 is the area you would square root it. that would give you 21.88606862823929, just round that up to 22 feet and you got the approximate side length! so there ya go! good luck!

Final answer:

The problem involves finding the side length of a square field given its area. The side length is found by taking the square root of the area. Rounded to the nearest foot, the side length is approximately 22 feet.

Explanation:

The subject here is Mathematics, specifically focusing on geometry. More specifically, the problem is addressing the characteristics of square fields. A square is a shape which has all sides equal in length. The area of a square is calculated by squaring the length of one side (i.e., side * side) or more visually demonstrated as side2.

Given that the area of the square is 479 square feet, you need to find the length of one side. To do this, you would take the square root of the area, because the area of a square field is side2.

Mathematically expressed, this would be:

  • Side length = √Area
  • Side length = √479

Using a calculator, you will find the square root of 479 is approximately 21.89. We are asked to give the answer to the nearest foot, so you would round 21.89 to the nearest whole number to get 22 feet. Therefore, the approximate length of a side of the field is 22 feet.

Learn more about Square root here:

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Find the quotient. Write your answer in simplest form.

1/3 ÷ 6= 1/18?

Answers

If you would like to solve 1/3 / 6, you can do this using the following steps:

1/3 / 6 = 1/3 / 6/1 = 1/3 * 1/6 = 1/18

The correct result would be 1/18.

Answer:

1/18

Step-by-step explanation:

Plz help A right triangle has legs with lengths 7 cm and 24 cm.What is the length of the hypotenuse?

Answers

C²=A²+B²
C²= 7² + 24²
C²= 49 + 576
C²= 625
C=√625
C=25

Answer:

C = 25 Centimeters

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 .