Approximately 15% of the shirts at windsor and best garment factory are labeled irregular and di not receive the windsor and best label. At this rate how many shirts neef to be made to produce approximately 500 Windsor and Best shirts are not irregular?

Answers

Answer 1
Answer: 500 is 15% less than the number that need to be made, because 15% of
the number that are made will be irregulars.

Remember that 15% = 0.15

500 = 85% of the number.

500 = 0.85 of the number.

Divide each side by 0.85 :

The number = 500 / 0.85 = 589 shirts

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Computer Craft pays its sales associates a 15% commission on every sale. Barry sold a laptop computer for $1,900 and a printer for $300.How much money did Barry earn on the sale of the items?

Answers

$330.00 is how much money Barry earned on the sale of the items

An investment club invested part of $8000 at 10% annual interest the rest at 12%. If the annual income from these investments is $900, how much was invested at each rate

Answers

let x be the amount invested  at 10%
so the amount invested at 12 % =  (8000-x)
   0.1x + 0.12(8000-x) = 900
   0.1x - 0.12x = 900- 960
   0.02x = 60
     x   =  3000      @ 10%
              8000 - 3000    =    5000     @ 12%

Nate wants to visit his friend Mac before going to the park. Nate's house is located at (-2, 4), while the park is located at (10, 2). Find the bacation of Mac's house if it is of the distance from Nate's house to the park.​

Answers

Answer:

Step-by-step explanation:

Using the formula for calculating the distance between two points as shown;

D = √(x2-x1)²²+(y2-y1)²

Given the coordinates  (-2, 4) and (10,2)

x1 = -2, y1 = 4, x2 = 10 and y2 = 2

substitute into the formula;

D = √(10+2)²+(2-4)²

D = √(12²+(-2)²

D = √144+4

D = √148

D = 12.17 units

Hence the distance of Mac,s house from Nate's house is 12.17 units

Final answer:

To find the coordinates of Mac's house, we use the section formula in mathematics. By substitifying the given locations of Nate's house and the park into the formula, we conclude that Mac's house is located at approximately (2, 3.33) which is one third the distance from Nate's house to the park.

Explanation:

In this math problem, we are dealing with points in a 2D cartesian coordinate system. Nate's house is at (-2, 4) and the park is at (10, 2). Mac's house is located one third of the distance between these two points. Following the formula for the coordinates of a point dividing a line segment in a given ratio, we can find Mac's house location.

Let the coordinates of Mac's house be (x, y). We use the formula for section formula which is:

x = [(m*x2 + n*x1) / (m+n)] and y = [(m*y2 + n*y1) / (m+n)]

Here, x1, y1 (-2, 4) are the coordinates of Nate's house, x2, y2 (10, 2) are the coordinates of the park and the ratio m:n is 1:2 since it's one third of the distance from Nate's house to the park.

By substituting these values in the formula, we get x = [(1*10 + 2*-2) / (1+2)] = 2 and y = [(1*2 + 2*4) / (1+2)] = 3.33

So, the coordinates of Mac's house are approximately (2, 3.33).

Learn more about Coordinate Geometry here:

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Please help and explain, I’m stuck on this on my homework

Answers

Answer:

THE ANSWER IS F. 23!

Step-by-step explanation:

THE ANSWER IS F. 23!

A lizard needs to stay a safe distance from a cactus. The diameter of the cactus is 12 inches. If the lizard is 8 inches from a point of tangency, find the direct distance between the lizard and the cactus (x). If necessary, round to the hundredths place.

Answers

Answer:

10 in

Step-by-step explanation:

We are given that

Diameter of cactus=d=12 in

Radius of cactus=(d)/(2)=(12)/(2)=6 in

Distance of lizard from point of tangency=8 in

We have to find the direct distance between lizard and cactus.

In triangle OAB,

OA=6 in

AB=8 in

Pythagorous theorem: (Hypotenuse)^2=(base)^2+(perpendicular\;side)^2

Using pythagorous theorem

OB^2=(6)^2+(8)^2=100

OB=√(100)=10 in

Hence, the direct distance of lizard from cactus=10 in

the answer should be 6 if i am right

Is 7 divided by 8 equal to, greater then, or less then 3 divided by 4

Answers

7 divided my 8 is greater than 3 divided by 4