MATHEMATICS HIGH SCHOOL

Enter an equation and an answer to the following question:What is the original list price if the discount is $35 and the discount rate is 10%

Answers

Answer 1

Answer:

Answer:

The original listed price is $ 350.

Step-by-step explanation:

Since,

$\text{Discount percentage}}=\frac{\text{Discount}}{\text{Marked price}}* 100$

$\implies \text{Marked price}=\frac{\text{Discount}}{\text{Discount percentage}}* 100$

Here, Discount = $ 35 and discount percentage = 10 %,

Let x be the marked price or original listed price,

$\implies x = (35)/(10)* 100=350$

Hence, the original listed price is $ 350.

Answer 2

Answer: 35=x*10/100
x=10*35=350$

the original list price is $350

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The figure below shows a trapezoid, ABCD, having side AB parallel to side DC. The diagonals AC and BD intersect at point O.If the length of AO is three times the length of CO, the length of BO is

one-third the length of AC

one-third the length of AB

three times the length of DO

three times the length of DC

Answers

Answer:

Length of BO is three times the length of DO.

Step-by-step explanation:

In trapezoid ABCD, $CD\ ||\ AB$

In ΔCDO and ΔABO,

$m\angle CDO=m\angle ABO$ (Alternate interior angles)
$m\angle DCO=m\angle BAO$ (Alternate interior angles)

So, $\Delta CDO\sim \Delta ABO$ according to Angle-Angle similarity.

Therefore, the ratio of corresponding sides will be same.

$\Rightarrow (OD)/(OB)=(OC)/(OA)$

$\Rightarrow (OD)/(OB)=(OC)/(3\cdot OC)$

$\Rightarrow (OD)/(OB)=(1)/(3)$

$\Rightarrow OB=3\cdot OD$

BO is the same length as AO, and DO is the same length as CO. therefore BO is three times the length of DO.

One end of a line segment has the coordinates (1, 3). If themiddle point is (5,8), then what are the coordinates of the
other endpoint?
A (3,5.5)
B (9, 12)
C (12,5)
D (9, 13)

Answers

Answer:

the answer is the letter D

Final answer:

By rearranging the midpoint formula, it can be determined that the other endpoint of the line segment is (9, 13) (option D) when one endpoint is (1,3) and the midpoint is (5,8).

Explanation:

This question relates to coordinate geometry, a branch of mathematics. In coordinate geometry, the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) is determined by the mean of the x-coordinates and y-coordinates, meaning the midpoint (xm, ym) is given by ((x1+x2)/2, (y1+y2)/2). If you have one endpoint ((x1, y1) which is (1,3) in this case) and the midpoint (xm, ym which is (5,8) in this question), you can solve for the unknown endpoint (x2, y2) by rearranging the midpoint formula to x2 = 2*xm - x1 and y2 = 2*ym - y1. Substituting the given coordinates into the formulas, we find that x2 = 2*5 - 1 = 9 and y2 = 2*8 - 3 = 13. Therefore, the other endpoint of the line segment is (9,13), hence option D is the correct answer.

Learn more about Midpoint Formula here:

brainly.com/question/30242630

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tony is putting 42 oranges into 4 boxes. Each box holds 12 oranges . How many more oranges are needed to fill all the boxes?

Answers

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Answers

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Answers

The correct answer for the question that is being presented above is this one: "18.12."
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David's company reimburses his expenses on food, lodging, and conveyance during business trips. The company pays $60 a day for food and lodging and $0.65 for each mile traveled. David drove 600 miles and was reimbursed $3,390.Part A: Create an equation that will determine the number of days x on the trip (3 points)Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points)Part C: How many days did David spend on this trip? (1 points)

Answers

For Part B, Part A of the equation is needed.
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