1) Mary is packing boxe at the packing factory. Mary
packs boxes at a rate of 10 boxes every 6 minutes
Roger packs boxes at a rate of 15 boxes every 8
minutes
Who has that fastest rate per minute?

The market price and profit amount if the shopkeeper paid 2500 for the article​ will be 3250 and 11.05%.

Profit is made when the money generated from a commercial operation exceeds the expenses, charges, and taxes associated with operating the activity in question.

Given data;

Purchase price = 2500

Given condition;

The markup is 30% more than the purchasing price.

Mark Price is found as;

[tex]\rm MP = \frac{130}{100}\times 2500 \\\\ MP =130\times 25\\\\ MP=3250[/tex]

The marked price of an article will be 3250.

Since we are aware that discounts usually apply to mark prices, a 15 percent discount is now being offered;

[tex]\rm \frac{85}{100}\times 3250 = 2762.5 RS[/tex]

The profit in the article is found as;

Profit = 2762.5-2500

Profit = 226.25 RS

Now profit % is found as;

[tex]\% profit = \frac{276.25}{2500}\times 100 \\\\ \% profit = 11.05 \%[/tex];

Hence, the market price and profit amount, if the shopkeeper paid 2500 for the article,​ will be 3250 and 11.05%.

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Answer: x=25

Step-by-step explanation: equation comes out to

4x+80=180

4x=100

x=25

Answer:

x=25

Step-by-step explanation:

x+30+x+40+2x+10=180

Add the X up together and the other number which will be

4x+80=180

subtract 80 from both sides

4x=100

divide 4 from both sides

x=25

9514 1404 393

Answer:

  -30°

  or 330° or -150° or 210°

Step-by-step explanation:

The angle whose sine is 1/2 is 30°. Here, the sine is negative, indicating the angle is in the 3rd or 4th quadrants.

The angles in those quadrants with a reference angle of 30° are -30° or -150°. As positive angles, these are 330° or 210°, respectively.

Generally, the sin⁻¹ function (also called the arcsin function) is defined to have a range of -90° to +90°. Within that range, we can say ...

  sin⁻¹(-1/2) = -30°

_____

Additional comment

There are a few trig functions it is worthwhile to remember. These are shown in the attachment. The ordered pair points on the unit circle are (cos(θ), sin(θ)). If you remember the values of these in the first quadrant for 30°, 45°, and 60°, then you can work most of these "without a calculator" problems. (You also need to know how the signs change in the different quadrants.)

Answer:

210 degrees

Step-by-step explanation:

This is the 'arcsin' or 'inverse sine' function.  As written,

arcsin (-1/2) is requesting the angle (in degrees) whose sine is -1/2.

Note that because the sine function is defined as (opposite side)/hypotenuse, the following equation is true:

 -1            opposite

------  =  -------------------  =  sin x, where x is an angle in degrees.

  2         hypotenuse

If the sine is negative, that means that the angle x lies in either Quadrant III or Quadrant IV.  We see that the magnitude of the opposite side is HALF the magnitude of the hypotenuse.  

Cycling counterclockwise from the positive x axis, and continuing through Quadrant II into Quadrant III, we get a ray (hypotenuse) that is twice the length of the opposite side.  The angle of this ray as measured from the positive x-axis is 180 degrees plus 30 degrees, or  210 degrees.

You can check this by finding sin 210° on a calculator; the result is -1/2, which is what we were given up front.

Answer:

16 square miles

Step-by-step explanation:

Hope this helped <3

Answer:

LSA = 2πrH

Step-by-step explanation:

The lateral surface area of a cylinder is given by the formula as:

LSA = 2πrH

where, r and H are radius and height of the cylinder respectively.

The volume of cylinder is πr^2H

and Total surface are of cylinder = LSA+ 2× base are

= 2πrH +2πr^2

You can substitute any values of r and H to find LSA of the cylinder

Answer:

-2/3x+y=6

Step-by-step explanation:

Standard form is just x+y=n, so all that we have to do it get that x over by subtraction.

Answer:

Isn't it supposed to put where the number/symbol is.....

Step-by-step explanation:

Answer:

3.13333333333

Step-by-step explanation:

It is a recurring so u could write it as 3.13 with a dot on top of the last three hope it helps :D

Answer:

She financed $2500

Step-by-step explanation:

If you multiply $5000 by 50% you will be $2500. This would be the amount she financed. Hope this helps

I think there is 72 students because there is 9 chaperones with groups of 8 so that is 9x8 which is 72

Hope this helps answer some questions that you may have had.

Answer:

I think the answer is 3.47

Answer:

$18

Step-by-step explanation:

Answer:

28, 29, and 30

Step-by-step explanation:

There's probably better ways but you can estimate by knowing 30*3=90 so it should be somewhere pretty close to 30. Guess and check with basic calculations to get 28, 29, and 30.

Answer:

answer: 105

Step-by-step explanation:

For triangle area you just have to do base × height ÷ 2 So we will do 8 × 5 = 40 then divide by 40 by 2 so 40 ÷ 2 = 20 now we have 1 triangles area we can find the rest because each of these triangles are equal so 20 × 4 = 80 now we just have to do the square so thats easily just base × height so 5 × 5 = 25 now we just add 80 and 25 so 80 + 25 = 105 so 105 is our surface area!

Answer:

Hmm, want piña colada and Jar Jar Binks cookies? just go to India.

Answer:

See below directions.

Step-by-step explanation:

The condition [tex]-2\pi<\theta<2\pi[/tex] means you can get to the point by rotating no more than one revolution in either the positive or negative direction.

See the attached image to see the point [tex]\left(3,\,-\frac{3\pi}{4}\right)[/tex].  Think about how you get to that point:  start at the origin, go right (along the positive x-axis) 3 units, then turn in the negative direction (to your right!) through an angle of [tex]\frac{3\pi}{4}[/tex].

Now, go again, starting at the origin, only this time, go 3 units right, then turn through an angle of [tex]-\frac{3\pi}{4}+2\pi=\frac{5\pi}{4}[/tex].  In other words, you turn one whole revolution in addition to the [tex]-\frac{3\pi}{4}[/tex] angle.  Your point can now be described by [tex]\left(3,\,\frac{5\pi}{4}\right)[/tex].

Another description can be found by rotating in the opposite direction, so an angle of [tex]\frac{3\pi}{4}[/tex] and backing up 3 units -- specify a "radius" of -3.  The point is then [tex]\left(-3,\,\frac{3\pi}{4}\right)[/tex].

You can also try subtracting one revolution [tex](2\pi)[/tex] from the angle, but be careful not to let the angle go outside the interval  [tex]-2\pi<\theta<2\pi[/tex].

The changes you can try are:  

add [tex]2\pi[/tex] to the angle, leave r alone

subtract [tex]2\pi[/tex] to the angle, leave r alone

add/subtract [tex]\pi[/tex] (half a revolution) to the angle, make r the opposite.

Answer:

2√2 = x

Step-by-step explanation:

x

---- = sin 45 degrees, or

4

 x        1

----- = -----

 4       √2

this results in x = 4 / √2  =  4√2/2  =  2√2 = x

The value of the variable 'x' will be 2√2 units. Then the correct option is C.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The two triangular legs and their opposing angles are congruent in an isosceles triangle.

The triangle is an isosceles right-angle triangle. Then by the Pythagoras theorem, we have

4² = x² + x²

2x² = 16

x² = 8

x = 2√2

The value of the variable 'x' will be 2√2 units. Then the correct option is C.

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Answer:

180°

Step-by-step explanation:

According to Angle sum property of a triangle , sum of all the three angles of a triangle equals to 180°

Answer: 45

Step-by-step explanation:

Hello there!

So this problem looks a lot more complex than it really is. First, we need to know that a straight line is 180 degrees. Since both of these angles must add up to 180, we just subtract 135 from 180. We then get 45.

Hope this helped! :D

Sorry if any information was incorrect or if i didn’t understand what you were asking. Just comment and I will reply back ready to help!

Answer:

Blank 1; AB

Blank 2; AC

Blank 3; BC

Step-by-step explanation:

Mathematically, the greater the angle that faces a side of a triangle, the bigger the side length of the triangle

so what this mean is that, bigger side lengths faces bigger angles

From the list of angles we have, the side that faces vertex C is the biggest

We have this as;

AB faces C and that is the biggest

the next is the side that faces angle B; we have the length as AC

the least faces angle A ; we have the length as BC

Answer:

Step-by-step explanation:

Solve for one variable and substitute the value in to another equation.

Answer:

x= (-2)

Step-by-step explanation:

brainliest?

Answer:

4.987 in

Step-by-step explanation:

Volume of a cube=  (where x= side)

x³

we know that

124=x³

∛124=x

x=4.986630952 which rounds to

4.987

Answer: a≈4.99in

Step-by-step explanation:

Using the formula

V=a³

Solving for a

a=V <To Power> ⅓ =   124⅓ ≈ 4.98663in

C

Directrix: y= -13/2

...

Answer:

supplementary

x = 146 degrees

Step-by-step explanation:

Answer:

supplementary

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

A GCF would mean you can divide both terms by that number. For A it would be ac, C would have c, and D would be b, so the only one which cannot be divided by anything except 1 is B.