The cost of carpenting a room at Rs 90/m^2 is Rs 7200. If the length had been 5m less the cost would have been Rs 3600. Fimd the length and breadth of the ​​room.​

Answer:

L=110

d=110

b=70

a=70

c=110

$8000+5.75% =$84600

Answer:

7 - 9 + (9 - 5)^2 - 4 (-6/6) + 8 - 3×10

-4

Answer:

(13.5,-46.5)

Step-by-step explanation:

Since equation 2 is missing y, then x is a constant

-2x + 61 = 34

-2x = 34 - 61

-2x = -27

x = 13.5

Then plug x into the 1st

5x + y = 21

5 * (13.5) + y = 21

67.5 + Y = 21

y = 21 - 67.5

y = -46.5

So the point satisfying both equations is (13.5,-46.5)

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\text{x + x(x + y) + y}[/tex]

[tex]\huge\text{= 4 + 4(4 + 1) + 1}[/tex]

[tex]\huge\text{= 4 + 4(5) + 1}[/tex]

[tex]\huge\text{= 4 + 20 + 1}[/tex]

[tex]\huge\text{= 24 + 1}[/tex]

[tex]\huge\text{= 25}[/tex]

[tex]\huge\boxed{\textsf{Therefore, your answer is: 25}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Hi,

we need to substitute 4 and 1 in the equation, so for every y, we replace it with a 1 and every X with 4 as X= 4, Y = 1

equation: X + X (X + Y) + Y

equation after substituting the numbers: 1 + 1 (1 + 4) + 1

Bidmas rules apply.

expand the bracket first. 1 (1 + 4)=

1 X 1= 1

1 X 4= 4

1 + 4 = 5

then the equation becomes: 1 + 5 + 1= 7

your answer is 7 if you want to evaluate it.

your answer is 1 + 1 (1 + 4) + 1 if you need the equation.

, hope that helps :)

Answer:

$ -2.08  expected to lose  

Step-by-step explanation:

3 25.0%  $15.00   $5.00   $1.25  

5 41.7%  $10.00   $-     $-    

4 33.3%  $-     $(10.00)  $(3.33)  

    $(2.08)  expected to lose  

[tex] \frac{(x + 7)^{2} }{16} + \frac{(y + 3) ^{2} }{9} = 1 \\ \frac{(x - h)^{2} }{ {a}^{2} } + \frac{(y - k)^{2} }{ {b}^{2} } = 1[/tex]

I hope I helped you^_^

Answer:

I think the one below is correct

Step-by-step explanation:

3a^2 + 2ab + c^2 = 0

Answer:

(-11, -6)

Step-by-step explanation:

Find the distance between the midpoint, (-3, -1) and (5, 4). This can be calculated by finding the difference between the x coordinates and y coordinates.

-3 - 5 = -8 (distance between x coordinates)

-1 - 4 = -5 (distance between y coordinates)

Find the point (x, y) by subtracting 8 from the midpoint's x value, and then subtracting 5 from the midpoint's y value.

-3 - 8 = -11

-1 - 5 = -6

So, the point (x, y) is (-11, -6)

Answer:

Rotating Q 180 degrees using the center P has the same effect as reflecting Q over the Line M  

Step-by-step explanation:

Rotating Q 180 degrees using the center P has the same effect as reflecting Q over the Line M and this is because Lines L and M are perpendicular lines ( i.e. lines that meet a right angle ( 90° ).

Answer:

Option C, 15.14 units²

Step-by-step explanation:

area of the triangle,

6.82×5.04×sin(61.73)/2

= 15.1365001284..

= 15.14 units² (rounded to the nearest tenth)

The required area of the irregular triangle is 15.14 unit². Option C is correct.

Given that,
A figure of the triangle is shown,
Side AB = a =6.82
Side BC = b = 5.04
Angles, ∠A = 45.03°, ∠B = 61.73°.

The triangle is a geometric shape which includes 3 sides and the sum of the interior angle should not be greater than 180°.

Altitude is perpendicular bisector to the side of the triangle from the opposite vertex of the triangle.

The area of the given triangle can be given as,
Area = 1/2 * a * b sinB
       =  1/2 * 6.82 * 5.04 * sin61.73°
       =  1/2 * 6.82 * 5.04 * 0.88
       =  15.14 unit²

Thus, the required area of the irregular triangle is 15.14 units². Option c is correct.

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Answer:

jsjuuusjus??dujj??uu?jw?wuw?jjdj

Step-by-step explanation:

e

q

iwsj

l

Answer:

9

Step-by-step explanation:

3^2 is 3x3 which is 9

Answer:

9

Step-by-step explanation:

The 2 located to the right and above the 3 is called an exponent. This exponent is how many times the number to its lower left is repeated and multiplied by. In this instant, 3 will be multiplied twice (symbolized by the number 2).

In other words:

3 × 3

The 3 is repeated twice because the exponent is 2. If the exponent were 3, it would look like:

3 × 3 × 3

So going back to the question, 3^2 is 3 × 3 which equals 9.

Answer: A. 7

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given Information

f(x) = 5x - 3

x = 2

Substitute the value into the function

f(2) = 5 (2) - 3

f(2) = 10 - 3

f(2) = 7

Hope this helps!! :)

Please let me know if you have any questions

Answer:

9

Step-by-step explanation:

r/3  +5 ≤ 8

Subtract 5 from each side

r/3  +5 -5≤ 8-5

r/3   ≤ 3

Multiply each side by 3

r/3  *3 ≤ 3*3

r   ≤ 9

The only value that is less than or equal to 9 is 9

Answer:

linda will get 35 candies

Answer:

Linda gets 33 candies

Step-by-step explanation:

Let's call Linda's number of sweets x and make an equation for the total number of candies:

70 = 4+ x + x

Then simplify it:

70 = 4 + 2x

We then solve for x ( which is the number of candies Linda gets ):

70 - 4 = 4 + 2x  - 4

66 = 2x

66 ÷ 2 = 2x ÷ 2

33 candies = x ( amount Linda gets )

HOPE THIS HELPED

Let numerator be x

ATQ

[tex]\\ \sf\longmapsto x+x+2=12[/tex]

[tex]\\ \sf\longmapsto 2x+2=12[/tex]

[tex]\\ \sf\longmapsto 2x=12-2[/tex]

[tex]\\ \sf\longmapsto 2x=10[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{10}{2}[/tex]

[tex]\\ \sf\longmapsto x=5[/tex]

Now the fraction is

[tex]\\ \sf\longmapsto \dfrac{x}{x+2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{5}{5+2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{5}{7}[/tex]

-- Their sum is 12.

-- If they were equal, each would be 6.

-- To make them differ by 2 without changing their sum, move 1 from the numerator (make it 5), to the denominator (make it 7).

Answer:

(1, -13)

Brainliest, please!

Step-by-step explanation:

To find the x coordinate of the vertex, we use the formula, -b / 2a. In this problem, a = 2, and b = -4. c is -5, but we don't need to know it.

- -4 / 2(2) = 4 / 4 = 1

Vertex = (1, y)

Next, we plug 1 back into the parabola equation for x to solve for y.

y = -2(1)^2 - 4(1) -5

y = -2^2 - 4 - 5

y = -4 - 4 - 5

y = -8 - 5

y = - 13

Vertex = (1, -13)

Answer:

price = 7.76/4 * 13

Step-by-step explanation:

Divide $7.76 by 4 to find the price of one glue stick.

Then multiply that by 13.

price = 7.76/4 * 13

Answer:

The length of PQ is 24

Step-by-step explanation:

If you flip triangle PQR upside down the you can see which side corresponds to which. BC corresponds to QR and AB with PQ, the scalar is 6 because of BC (2) times 6 = QR (12). So you just have to do 4 times 6 which is 24.

Answer:

128500

Step-by-step explanation:

This is an arithmetic sequence with a common difference of 3500

The formula for an arithmetic sequence is

an = a1+d(n-1)  where a1 is the first term and d is the common difference

an = 48000+ 3500(n-1)

We want n = 24

a24 = 48000+3500(24-1)

       = 48000+3500(23)

       =48000+80500

       =128500

Step-by-step explanation:

x+2x+3x=180

6X=180

x=180/6

x=30

again

2 x=2×30

=60

3×=3×30

=90

Answer:

- 1

Step-by-step explanation:

The average rate of change of g(x) in the close interval [ a, b ] is

[tex]\frac{g(b)-g(a)}{b-a}[/tex]

Here [ a, b ] = [ 3, 6 ] , then

g(b) = g(6) = 6² - 10(6) + 19 = 36 - 60 + 19 = - 5

g(a) = g(3) = 3² - 10(3) + 19 = 9 - 30 + 19 = - 2

average rate of change = [tex]\frac{-5-(-2)}{6-3}[/tex] = [tex]\frac{-5+2}{3}[/tex] = [tex]\frac{-3}{3}[/tex] = - 1

Observe that

7¹ ≡ 7 (mod 100)

7² ≡ 49 (mod 100)

7³ ≡ 343 ≡ 43 (mod 100)

and (using Euclid's algorithm)

7 ⁻¹ ≡ 43 (mod 100)

so that

7⁴ ≡ 7³ × 7¹ ≡ 43 × 7¹ ≡ 1 (mod 100)

This means

7⁷ ≡ 7⁴ × 7³ ≡ 1 × 43 ≡ 43 (mod 100)

Next,

(7⁷)⁷ ≡ 43⁷ ≡ (7 ⁻¹)⁷ ≡ (7⁷) ⁻¹ ≡ 43⁻¹ ≡ 7 (mod 100)

(3 7's)

Next,

((7⁷)⁷)⁷ ≡ 7⁷ ≡ 43 (mod 100)

(4 7's)

A pattern emerges: a power tower involving an even number of 7's will reduce to 43 (mod 100), so the last two digits of ((7⁷)⁷ ... )⁷ with 2020 7's will have 43 as its last two digits.

Answer:

Hello,

Answer 9/2

Step-by-step explanation:

Let's put some points:

A=(4,-6)

B=(8,-6)

C=(4,-9) (the vertex of the rectangle)

AI=1, IB=3,AB=4

AG=2,GC=1

Area of the triangle AIG=1*2/2=1

Area of the triangle IBH=3*3/2=9/2

Area of the triangle GCH=1*4/2=2

Area of the rectangle=4*3=12

Area of the triangle IGH=12-1-9/2-2=9/2 (unit²)

The area, in square units, of triangle GHI will be 9/2 or 4.5 square units.

The vertices of the triangle are (x₁, y₁), (x₂, y₂), and (x₃, y₃). Then the area of the triangle will be given as,

Area = 1/2 |[(x₁y₂ + x₂y₃ + x₃y₁) - (y₁x₂ + y₂x₃ + y₃x₁)]|

We have

(x₁, y₁) ⇒ (4, -8)

(x₂, y₂) ⇒ (8, -9)

(x₃, y₃) ⇒ (5, -6)

Then the area will be calculated as,

Area = 1/2[{4 x (-9) + 8 x (-6) + 5 x (-8)} - {- 8 x 8 - 9 x 5 - 6 x 4}]

Area = 1/2 [(-124) – (-133)]

Area = 1/2 x [9]

Area = 9/2 square units

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Answer:

16% of 174 = 27.84

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Answer:

A (-6, 0) (-2, 0), and (0,0)

Step-by-step explanation:

just took quiz on this

How long, to the nearest day, until it is safe to swim again will be 156 days

Let x represent number of day until it is safe to swim again

First step

=2000 *1/2^x

100=2000 *0.5^x

0.05=0.5^x

Second step

Log 0.05=xLog 0.5

Log 0.05/L0g 0.5=x

x=36 days* Log 0.05/L0g 0.5

x=36 days*43.22

x=156 days

Inconclusion How long, to the nearest day, until it is safe to swim again will be 156 days

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