Work out the length of DB in the diagram below.
Not drawn
to scale
С
5 cm
D
B
4 cm
E
А
18 cm

Answer:

loss=10%

sp with vat=rs25425

sp=sp with vat-vat%of sp=rs25425-13/100×sp

sp+13/100×sp=rs25425

(100sp+13sp)/100=rs25425

113sp=rs2542500

sp=rs2542500/113=22500

cp=sp+loss %of cp

cp-10/100×cp=22500

(10cp-cp)/100=22500

9cp=2250000

cp=2250000/9=250000

A percentage is a way to describe a part of a whole. The cost price of the article is Rs. 25,000.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Let the selling price of the article be represented by x. Since the customet paid 13% vat , therefore,

x + 13% of x = Rs. 25,425

x + 0.13x = 25,425

1.13x = 25,425

x = 22,500

Thus, the selling price is 22,500.

Since the retailer had a 10% loss, therefore, the selling price will be 90% of the cost price.

90% of cost price = selling price

0.90×Cost price = 22,500

Cost price = 25,000

Hence, the cost price of the article is Rs. 25,000.

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Hey there .. here is ur answer

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The size of angle AED is 173°

In geometry, an angle is the figure formed by two rays (i.e. the sides of the angle) sharing a common endpoint (i.e. vertex).

Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes.

The size of angle AED can be determined as follow:

In ΔBCE,

∠BEC + 73° + 79° = 180° (The sum of angles on a triangle is 180°)

∠BEC = 180 - 73 - 79

∠BEC = 28°

Also, in ΔCDE,

∠BEC + 37° + 96° = 180° (The sum of angles on a triangle is 180°)

∠CED = 180 - 37 - 96

∠CED = 47°

∠BED = ∠BEC  + ∠CED

∠BED = 28 + 47

∠BED = 75°

∠AED + ∠BED + ∠AEB = 360° (The sum of angles at a point is 360°)

∠AED + 75° + 112°  = 360°

∠AED = 360 - 75 - 112

∠AED = 173°

Therefore, the size of angle AED is 173°.

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Answer:

first you do 11-3 to get 8. then you multiply 8 and 6 to get 48

Answer:

Formula used :---

Distance between two points on a graph is √{(X-x)²+(Y-y)²}

Distance from J to K is :---

[tex] \sqrt{ {(- 3 + 8)}^{2} + {(5 + 7)}^{2}} \\ = \sqrt{ {5}^{2} + {12}^{2} } \\ = \sqrt{25 + 144} \\ = \sqrt{169} \\ = \boxed{13}[/tex]

Answer:

high school is hard :(

Step-by-step explanation:

4÷1.84 means 4 over 1.84 (4/1.84) = 2.17

if u calculate 1.84 ÷ 4 (using calculator) the ans will be different bcauz it means 1.84 over 4 (1.84/4)

Answer:

x + y ≥ 26 + 15

5x + 8y ≥ 250 (see below)

Step-by-step explanation:

First, write an equation to represent the total cost to wash cars:

$5x = cost for cars

Then, write another for trucks:

$8y = cost for trucks

If the question is saying that they will wash at least 26 cars and 15 trucks, that means they could wash more. This means that we'll need an inequality:

This inequality represents that the total number of cars and trucks they wash will be at least—which means that it is equal to or greater than—than the amount given:

x + y ≥ 26 + 15

Any equation or inequality with two unknowns is not solvable, meaning we need a system of equations:

If they make at least $250, that means that we need to combine the costs of the cars and trucks to make an inequality:

5x + 8y ≥ 250

Now you have your system of equations:

x + y ≥ 26 + 15

5x + 8y ≥ 250

Answer:

2 the answer is two, two halves can create a semi circle.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/2+p= -3

p= -3-1/2

p= -3.5

hope it helped? (3

Answer:

the price per pound : 14.3/3.25 =$4.4/ pound

Step-by-step explanation:

Answer:

Factor the numerator and denominator and cancel the common factors. 2x -2.1

Answer:

It is a gift economy

Step-by-step explanation:

This is correct on playto, but let me give you an explanation. A gift economy is a explicit agreement between two parties that if a favor is given, it'd be returned at a later time. If a hunter shared meat with others, the hunter expects to get something later in returned. By defintion, this is the role of a gift economy.

Answer:

Hi mate.....

Step-by-step explanation:

Answer is Arithmetic

Geometric includes shapes and angles....

hope it helps,

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Answer:

Step-by-step explanation:

26-$15.50=10.5

10.5/1.5=7

he can ride 7 rides in one day

Answer:

Revenue  =  Members  *  (Cost Per Member)

R  = (12.500 *8) =

R= 100.000

R  = (12.500 - 500) ( 8 + 1)=

R=12000*9=

R=108.000

Step-by-step explanation:

Revenue  =  Members  *  (Cost Per Member)

R  = (12.500 *8) =

R= 100.000

R  = (12.500 - 500) ( 8 + 1)=

R=12000*9=

R=108.000

Where x represents the number of $1  increases

Where x represents the number of $1  increases

Answer:

Step-by-step explanation:

Q1

Angles

Q2

Ratios of corresponding sides:

Q3

Angle C is vertical

Ratios of corresponding sides:

Answer:

280 miles and the rule is multiply by 40

Step-by-step explanation:

Answer:

[tex] \frac{1}{8} x = \frac{1}{2} \\ x = \frac{8}{2} \\ \boxed{x = 4}[/tex]

Answer:

x = 4

Step-by-step explanation:

1/8 * x = 1/2

x = 1/2 *8

x = 4

hope it help you

Answer:

The function y = 10(0.13)ˣ represents exponential decay.

Hence, option C is the correct function.

Step-by-step explanation:

We know that an exponential function is of the form

y = abˣ

where 0 < b < 1

Now, if we carefully observe, the function y = 10(0.13)ˣ is the only option correct as

here 0 < b < 1 and a > 0

Therefore, the function y = 10(0.13)ˣ represents exponential decay.

Hence, option C is the correct function.

Answer:

9 I think don't trust me 100%

Step-by-step explanation:

Answer:

x= 9

Step-by-step explanation:

Answer:

77 degrees

Step-by-step explanation:

supplementary angles add up to 180 degrees

subtract 103 from 180 to get 77 degrees

Answer:

d.not enogh information

The measure of the angle ∠NPQ will be 118°. Then the correct option is C.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezoid, one pair of opposite sides are parallel.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

In the isosceles trapezoid, the sum of the opposite angle is 180 degrees. Then the equation is given as,

∠NMQ + ∠NPQ = 180°

∠NPQ + 32° + 30° = 180°

∠NPQ = 118°

The measure of the angle ∠NPQ will be 118°. Then the correct option is C.

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Answer:

1.150 seconds or 2.5 minutes

2. 0.2km

Step-by-step explanation:

1. 1.5 x 1000=1500

  1500/10=150

150/60=2.5minutes

2. 60mins = 36km -Divide both sides by 60 to get how far he would go in 1 minute/60 secs

    1min/60secs=0.6km -Divide both sides by 3 to get how far he would go in 20 secs

    20secs=0.2km

Answer:

What is this exactly?

Step-by-step explanation:

Answer:40 teenagers

Step-by-step explanation:

To find the answer to this question, you would have to divide 2000(amount of people) by 100 to find the amount of people for 1%. After you find that, you would multiply the answer by 2.  Equation: 2000÷100= 20 · 2= 40.

40 teenagers

So we know that to find the answer to this question, you would have to divide 2000(amount of people) by 100 to find the amount of people for 1%.

After you find that, you would multiply the answer by 2.  

Equation: 2000÷100= 20 · 2= 40.

Final result: 40

Answer:

Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.

Step-by-step explanation:

Answer:

n= 4

Step-by-step explanation:

[tex]a^{m}*a^{n}=a^{m+n}\\\\(a^{m})^{n}=a^{m*n}\\\\\frac{a^{m}}{a^{n}}=a^{m-n}[/tex]

[tex]7^{7}*7^{5}=\frac{(7^{n})^{4}}{7^{4}}\\\\7^{7+5}=\frac{7^{n*4}}{7^{4}}\\\\7^{12}=\frac{7^{4n}}{7^{4}}\\\\7^{12}=7^{4n-4}[/tex]

Compare the exponents,

4n - 4 = 12     {Add 4 to both sides}

4n = 12 + 4

4n = 16

n = 16/4

n = 4

The required proportional relationship is given a p = 3/4 m. Optio B is correct.

Given that,
Ben reads 6 pages of a book in 8 minutes, 9 pages in 12 minutes, and 30 pages in 40 minutes. If m represents the number of minutes and p represents the number of pages.

proportionality is defined as between two or more sets of values, and how these values are related to each other in a sense are they directly proportional or inversely proportional to each other.

As here, in the question there is no mention of any kind of intercept thus the relationship explained is the proportionality relation between the number of pages P and the number of minutes m.
According to the question,
P ∝ M
P =Km - - - - - (1)
Put one ordered pair from the given,
6 = K 8
K = 3 / 4
Put K in equation 1.
P = 3 / 4 m

Thus, the required proportional relationship is given a p = 3/4 m.

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Answer:

The equation of the straight line y = -2x +3

y-intercept =  3 and m =-2

Step-by-step explanation:

Step(i):-

Given that the points are ( 2,-1) and (-3,9)

The slope of the line

[tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{9-(-1)}{-3-(2)} = \frac{10}{-5} = -2[/tex]

Step(ii):-

The equation of the straight line passing through the point ( 2,-1) and slope m=-2

      y-y₁ = m( x- x₁)

     y -(-1) = -2 ( x-2)

      y +1 = -2x +4

     2x +y +1-4 =0

    2x +y -3 =0

Final answer:-

The equation of the straight line y = -2x +3

Answer:

2^3 X 2^5 = 2^8

when multiplying indices with the same base number just add the indices