A merchant bought a dozen of books for 1500 birr and sold it at a profit of 15% of its cost price. What is the selling price?​

Perimeter of a closed figure is the sum of length of its outline. The perimeter of the consider triangular pool is: [tex]12x^2 + 8x + 25[/tex] units.

Perimeter of a triangle = Sum of lengths of all its 3 sides.

For the given case, we have:

Length of first side(hypotenuse) = [tex]8x^2[/tex] units

Height = [tex]4x^2 + 15[/tex] units

Base is of length [tex]8x + 10[/tex]

Thus, its perimeter is calculated as:

Perimeter of a triangle = Sum of lengths of all its 3 sides.

Perimeter =  [tex]8x^2 + 4x^2 + 15 + 8x + 10 = (8+4)x^2 + 8x + 25 = 12x^2 + 8x + 25[/tex] units

Perimeter = [tex]12x^2 + 8x + 25[/tex] units

Thus,

The perimeter of the consider triangular pool is: [tex]12x^2 + 8x + 25[/tex] units.

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Answer:

12x2 + 8x + 25

Step-by-step explanation:

i said so

Answer:

21 books

Step-by-step explanation:

Subtract $32.50 from her total savings:

$204 - $32.50 = $171.50

Divide the remaining money by the cost for each book from the sale:

$171.50 / $8.15 = 21.0429448

Round:

21 books

Answer:

x = 49/5 (fraction)

Step-by-step explanation:

Add and subtract the numbers: -15 + 52 =37

6x+37=11x-12

Subtract 37 on both sides:

6x+37-37=11x-12-37

Simplify:

6x=11x-49

Subtract 11x from both sides:

6x-11x=11x-49-11x

Simplify:

-5x=-49

Divide both sides by -5

-5x/-5=-49/-5

= 49/5

Answer:

Group 1

Group 2

Groups 1 and 2 together

Group 4

Group 4

Step-by-step explanation:

We are looking for the number of children than can ride safely with 4 adults.

Since 4 adults are already seated, A = 4.

We substitute 4 for A in the inequality and solve for C.

150A + 100C + 200 ≤ 1500

150(4) + 100C + 200 ≤ 1500

600 + 100C + 200 ≤ 1500

100C + 800 ≤ 1500

100C ≤ 700

C ≤ 7

Up to 7 children can ride.

Answer:

Group 1

Group 2

Groups 1 and 2 together

Group 4

Group 4

Answer:

C.) 8

Step-by-step explanation:

[tex]11- (1/2)^4 x 48 = 11- 1/16 x 48= 11-3= 8[/tex]

The number pi is a famous irrational number since we cannot represent it as a fraction of two integers. Pi is approximately equal to 3.14159. The decimal digits go on forever without any pattern.

Another irrational number would be [tex]\sqrt{2}[/tex] which is approximately equal to 1.4142; the decimal digits for this number also go on forever without any pattern.

Answer:

5(8a + 9)

Step-by-step explanation:

40 and 45 can both be divided by 5, so this is a common factor.

-> 40 divided by 5 is 8

       [] It has a variable, so it will be 8a

-> 45 divided by 5 is 9

Our final answer is 5(8a + 9)

-> To check we can multiply it out, 5 * 8a is 40a, 5 * 9 = 45

-> This works

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Answer: thats hard

Step-by-step explanation:

Answer:

6(2n-1)

explanation:

→ 3(4n-1)-3

→ 4n(3)-1(3)-3

→ 12n-3-3

→ 12n-6

→ 6(2n-1)

Answer:

cot (3ocπ/4)⠀⠀

Answer:

$160, or answer A

Step-by-step explanation:

If 120 is 25% of the original, or 0.25 of the original(We will call it x), then 120 is 0.75x.

Form an equation like this:  0.75x=120

Turn this into fractions:  3/4x=120/1.

Divide by 3/4 on both sides.

x = 120/1 * 4/3

Simplify to get: 40/1 * 4/1

Multiply to get: 160

The original price of the coat is $160.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given. Iris paid $120 for a winter coat.

She saved 25% off the original price .

We have 4 options $160, $150, $145 and $30.

Now let $160 is the original price,

25% of 160 = 160 x 25 / 100

                  = $40

Therefore, the original price of the coat is $160.

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Answer:

It would take 4 minutes.

Step-by-step explanation:

Step 1: divide 63 by 3 to get how many hotdogs the champion can eat in a minute which equals 21

Step 2: Divide 84 by 21 to get 4 minutes

Answer:

5) [tex]x^2+151x-264[/tex]

6)[tex]-30a^3-27a^2b+30ab^2+18b^3[/tex]

Step-by-step explanation:

Answer:

0.625%

Step-by-step explanation:

3 3/4 = 3.75

3.75 ÷ 600 × 100 = 0.625

Answer:

9-4=5

Step-by-step explanation:

Answer:

x=9-y or 9-y=x

Step-by-step explanation:

difference means subtract so nine minus a number equals this number

The area of a shape is the amount of space on the shape

From the question, the dimension of the painting is 6 inches by 10 inches

So, the area of the painting is:

Area = 6 * 10

Area = 60 square inches

Hence, the area of the painting is 60 square inches

From the question, the dimension of the picture is 9.5 inches by 13.5 inches

So, the area of the picture is:

Area = 9.5 * 13.5

Area = 128.25 square inches

The area of the frame is the difference between the area of the picture and the painting.

So, we have:

Frame = 128.25 - 60

Frame = 68.25

Hence, the area of the frame is 60.25 square inches

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Answer:

Measure of each angle is 108 and 72 degrees.

Step-by-step explanation:

Let's the angle  be "n"

Supplementary angle = 180 °

n- (180-x) = 36

n - 180 + n = 36

Combine like terms

n - 180 + n = 36

2n - 180 = 36

Add 180 to both sides of the equation

2n - 180+180 = 36+180

Simplify

2n = 216

Divide both sides of the equation by the same term

2n/2 = 216/2

Simplify

n = 108

2n = 216  

Measure of each angle

1st = 108

2nd = 180-108 = 72

[RevyBreeze]

Answer:

An angle measures 36° more than the measure of its supplementary angle. What is the measure of each angle?

Step-by-step explanation:

Let's the angle  be "n"

Supplementary angle = 180 °

n- (180-x) = 36

n - 180 + n = 36

Combine like terms

n - 180 + n = 36

2n - 180 = 36

Add 180 to both sides of the equation

2n - 180+180 = 36+180

Simplify

2n = 216

Divide both sides of the equation by the same term

2n/2 = 216/2

Simplify

n = 108

2n = 216  

Measure of each angle

1st = 108

2nd = 180-108 = 72

Answer:

  23°

Step-by-step explanation:

There is not enough information given in this diagram to provide values for the marked angles. In order to solve the problem, we must assume some relation between those angles.

If they are equal, then ...

  9x -22 = 6x -7

  3x = 15 . . . . . . . . . . add 22-6x to both sides

  x = 5 . . . . . . . . divide both sides by 3

 m∠ABD = (9x -22)° = (9·5 -22)° = 23°

Answer:

(a)5

Step-by-step explanation:

$20 ÷4 pounds of grapes = $5

Answer:

C. Negative

Step-by-step explanation:

The line is not horizontal or vertical, therefore we the slope cannot be zero or undefined.

This leaves us with either positive or negative...

A positive slope goes from the lower left corner (Quadrant 3) of the graph up to the upper right (Quadrant 1).

A negative slope goes from the upper left corner (Quadrant 2) of the graph down to the lower right (Quadrant 4).

Since this line goes from the upper left corner to the lower right, it has a negative slope

Answer:

A

Step-by-step explanation:

The constant 4 is positive so the graph is shifted up by 4 units. If it was instead -4, then the graph would have been shifted down 4 units

Answer:

Step-by-step explanation:

1. 43+(-56) - 78

43 - 56 - 78 = -91

2. -78 - 65 = -143

3. -19 - 4 = -23

4. -16 + 9 = -7

5. 71 + (-18)

71 - 18 = 53

Hope this helps!

Answer:

Step-by-step explanation:

43+(-56)minus 78= negative 91

43+-56= - 13    13-78= negative 91

-78 subtract 65=143 because when your in negatives it is opposite so when you subtract it is addition so what is -30 add 50=20. So what is -78 subtract 65=143

-19 subtract 4 =-23 because like I said in negatives it's opposite.

-16+9=7.

And last 71 + -18=53 because it is subtracting 18 since it is negatives.

Hope it helps :)

Answer:

Answer:

it should be d.

Step-by-step explanation:

volume of a cone = π x r² x h

volume = π x 4.5² x 3.5

volume = π x 70.825

volume = 222.66 cubic metres

Answer:

Its 10

Step-by-step explanation:

5 + 5 = 10

Addition can be defined as the process of adding two numbers. The sum of 5 and 5 is 10.

Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.

Given that we need to add 5 and 5. This can be simply understood with the help of an example. One hand has 5 fingers and as we need to add the 5 and 5 therefore, we need to add the number of fingers in the two hands which is equal to 10. therefore, we can write it as,

[tex]5 + 5 =10[/tex]

Hence, the sum of 5 and 5 is 10.

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Answer:

y = 17.5

Step-by-step explanation:

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form  y/x = k or y = kx

Find the value of the constant k

we have:

y = 7 and x = 2

substitute

7/2 = k

k = 3.5

Thus, the equation is equal to

y = 3.5x

Find the value of y when  x = 5

substitute in the equation

y = 3.5(5) = 17.5  

Or we can put as:

y = 7 * 5 /2

Calculate the product or quotient: y = 35/2

Answer = 17.5

[RevyBreeze]

Answer:

y = 17.5

Step-by-step explanation:

If y is proportional to x, then:

[tex]y = kx[/tex] (for some constant k)

Given y = 7 when x = 2:

⇒ 7 = 2k

⇒ k = 3.5

Therefore, [tex]y=3.5x[/tex]

So when x = 5:

⇒ y = 3.5 x 5

⇒ y = 17.5