a) An agent sold some carpets at the rate of Rs 4500 each and received Rs 9000 as commission
at 10%. Find the number of carpets he sold.​

The first graph shows the x-intercept of -3 and y - intercept of 5.

Option A is true.

What is Intercepts?

The points in which the graph crosses the two axis ( x and y axis) are called Intercepts.

Given that;

The x - intercepts = -3

And, The y - intercepts = 5

Since,

The x - intercepts = -3

That's mean the line cross at the point - 3 on x - axis.

And, The y - intercepts = 5

That's mean the line cross at the point 5 on y - axis.

Clearly, In graph first;

The graph of the line is crosses at the point on x - axis at the point -3 and y - axis at the point 5.

Therefore,

The first graph shows the x-intercept of -3 and y - intercept of 5.

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Answer:

At least 2 weeks

Step-by-step explanation: You divide until you reach 200

Answer:

-7

Step-by-step explanation:

7n+5=-44

-5 - 5

7n=-49

7/7 -49/7

n = -7

Answer:

The answer is 75.011

add the given values only make sure the decimal points are in the same line

Answer:

(6x5 -6) +56

(30-6) +56

24+56

80

Step-by-step explanation:

Answer:

Exact Distance = [tex]\frac{4\sqrt{10}}{5}[/tex]

Approximate Distance = 2.529822

============================================

Explanation:

This process is quite involved if you don't know the shortcut formula. I'll go over the long method first, and then show the shortcut in the next section.

First we'll need the equation of the line through points O and M. Use of the slope formula will show line OM has slope -1/3, which you are correct in stating.

Then use point slope form to determine the equation of line OM is y = (-1/3)x+11/3. This converts to the standard form x+3y = 11.

For anything in the form Ax+By = C, the equation perpendicular to this is of the form Bx-Ay = D. The A,B coefficients swap, and one item is negated. This helps form the negative reciprocal slope needed for the perpendicular line.

Compare x+3y = 11 to Ax+By = C. We see that A = 1 and B = 3.

So Bx-Ay = D turns into 3x-y = D. Then plug in the coordinates of H(-3,2) and compute to get

3x-y = 3(-3)-2 = -9-2 = -11. So D = -11

The equation 3x-y = D turns into 3x-y = -11 which is the equation of the line through point H and this line is perpendicular to line OM.

At this point, we have this system of equations

x+3y = 11

3x-y = -11

Solve that system however you wish. Substitution may be the best choice. Doing so leads to the intersection point (-2.2, 4.4)

The last step is to apply the distance formula between the points H(-3,2) and the intersection point (-2.2, 4.4)

The distance you should get is [tex]\frac{4\sqrt{10}}{5} \approx 2.529822[/tex]

I'm skipping steps because listing everything out would take up way too much space in my opinion.

--------------------------------------------------------

The first section goes over a fairly lengthy process of finding the perpendicular distance. Luckily, there's a shortcut.

Consider an equation of the form Ax+By=C, aka standard form. Now consider a point P located at (m,n) that is not on the line Ax+By = C. We can find the distance from P to the line using this formula below

[tex]d = \frac{|Am+Bn-C|}{\sqrt{A^2+B^2}}[/tex]

In this case, A = 1, B = 3 and C = 11 found back in the previous section. So you'll still need to calculate the equation of line OM.

Also, we'll use (m,n) = (-3,2) which are the coordinates of point H

From here it's a fairly straightforward computation

[tex]d = \frac{|Am+Bn-C|}{\sqrt{A^2+B^2}}\\\\d = \frac{|1*(-3)+3*2-11|}{\sqrt{(1)^2+(3)^2}}\\\\d = \frac{|-8|}{\sqrt{1+9}}\\\\d = \frac{8}{\sqrt{10}}\\\\[/tex]

Optionally we can rationalize the denominator like so

[tex]d = \frac{8}{\sqrt{10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{10}\sqrt{10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{10*10}}\\\\d = \frac{8\sqrt{10}}{\sqrt{100}}\\\\d = \frac{8\sqrt{10}}{10}\\\\d = \frac{2*4\sqrt{10}}{2*5}\\\\d = \frac{4\sqrt{10}}{5}\\\\d \approx 2.529822\\\\[/tex]

There are different ways to write down the answer, but they all represent the same number.

Answer:

See attachment

PS:

Can I have Brainliest?

The correct statement is  BC equals to AC times CE all over CD.

We have, If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally. this is known as the triangle proportionality theorem.

Given, DE and AB are parallel

So,   [tex]\frac{BC}{CE} =\frac{AC}{CD}[/tex]

[tex]BC = \frac{AC\times CE}{CD}[/tex]

Therefore in statement form we say that BC equals to AC times CE all over CD.

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Answer:

Area of rectangular garden = lxb = 10*5

                                             = 50 sq. inch

when area increases by six times

new area = 50*6 = 300 sq inches

now,

let x be increasement in both  length and width

(5+x) (10+x) = 300

50 + 5x + 10x + x² = 300

x² + 15x - 250 = 0

x²+ 25x-10x -250 = 0

x(x+25) - 10 (x+25) = 0

( x-10) (x+25) = 0

either x + 25 =0

x = -25 length can be negative

0r x-10 = 0

x = 10

so 10 inches is increase on both side

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

brainest plz

Answer:

56%

Step-by-step explanation:

Let me know if you need an explanation! Hope this helped :)

Answer:

43.75%

Step-by-step explanation:

step 1

16-9=7

7ounce remains

step2

7 of 16 ounce remains

convert into percentge

7/16×100=43.75%

Answer:

24.17

Step-by-step explanation:

Answer:

$24.17 per feet

Step-by-step explanation:

290/12=24.1666...

24.16666 rounds to 24.17

Answer:

ADOM IS THE ANSWER OF THIS QUESTIONS

3 out of 12

1 out of 4

yea hopefully correct

Answer: No

Step-by-step explanation: 6^2+7^2=85

8^2=64

Answer:

The sketch tool to indicate what Edwin is describing as the parabola's "turning point'' is described below in details.

Step-by-step explanation:

We can see in graph that it intersect X axis and it is open upward it means turning point is below X axis, we can find turning point by find maximum value of Y If open downward and minimum value, if open upward here we can find that minimum point is (3, -5). also you can draw axis of symmetry parabola and finds its intersection with turning point can also be named vertex of parabola.

Answer:

The range is [0,37.5]

Step-by-step explanation:

We start by writing the equation that links x and y

From the question;

y = 7.5x

Now, she has enough material to make 5 only

When we talk of range, we are referring to the values on the y-axis

So the lowest y value is 0

and since the highest number of bracelets is 5;

The total cost of the 5 is 7.5(5) = 37.5

So the range is [0,37.5]

Answer:

p = -8

Step-by-step explanation:

Since, (x - 12) is a factor, then;

x - 12 = 0

x = 12

substitute the value of x in the equation

[tex]x^{2}[/tex] + px - 48 = 0

[tex](12)^{2}[/tex]  + 12p - 48 = 0

144 + 12p -48

12p = -144 + 48

12p = -96

p = -8

So that,

[tex]x^{2}[/tex] +-8x - 48 = 0

[tex]x^{2}[/tex] -12x + 4X- 48 = 0

([tex]x^{2}[/tex] -12x) + (4X- 48)

X(X - 12) + 4(X - 12)

(X - 12) (X + 4)

Therefore, p = -8 and (X - 12) (X + 4) are factors of the equation.

Answer:

8 + 2w

Step-by-step explanation:

⇒ Change all signs to addition (subtraction is the same as adding a negative):

5 + 3w + 3 + -w

⇒ Since the expression is now all addition, you can rearrange them in any order. So group the terms together by their type:

5 + 3 + 3w + -w

⇒ Simplify:

8 + 2w

Answer: 8 + 2w

Hope this helps! :)

Answer:

750 miles

Step-by-step explanation:

25+0.05x=40+0.03x

0.02x=15

x=750

[tex]b-2<5\\b<5+2\\b<7[/tex]

Therefore, the answer is b < 7.

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define equation

5x - 7 + 2x = 21

Step 2: Solve for x

Answer:

84.6 degrees

Step-by-step explanation:

138.6 - 54 = 84.6

Answer:

71

Step-by-step explanation:

There are 12 inches in a foot:

12 inches x 5 feet = 60

60 + 11 inches = 71 inches total

Answer:

71 inches

Step-by-step explanation:

12 inches in a foot

12*5

60+11

71 inches

Hope this hopes. Have a great day. May it be filled with joy and happiness.

Answer:

Pretty sure it is c

Step-by-step explanation:

Answer/ explanation: -10 for sure :)

The next two terms after -40 in this pattern are 60 and -160.

The difference between every two subsequent words in a sequence is the same; this is known as an arithmetic progression (AP). An equation for the previous block of the AP may be derived from this kind of development. For instance, the sequence 2, 6, 10, 14,... is a mathematical progression (AP) because it fits a pattern where every other number is acquired by adding 4 to the respective period.

The given data is,

-10, 20, -40

From -10 to 20 it is multiplied by 2 with a positive sign, and from 20 to -40 it is multiplied by 2 with a negative sign. Similarly, the next two numbers are 80 and -160.

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Answer:

It's not A or D it has to be B or C.

Step-by-step explanation: i just took the quiz on edge and it wasn't  A or D.

Answer:

Its B

Step-by-step explanation:

Answer:

the second answer

Step-by-step explanation:

.........