Class 10 cbse

Q) Four years ago George was four times older than his daughter. After four years, George will be 2 years more than two times the age of his daughter. Find the present age of George and his daughter.

Please answer asap

Answer:

x = -7

Step-by-step explanation:

Please view the detailed answer in the image attached

Answer:

[tex]2x - 9 = 5x + 12 \\ - 3x = 21 \\ x = - 7[/tex]

Step-by-step explanation:

x = -7

Answer:

formular 1/2 × base × height

1/2 × 2 × 8

16/2 = 8 ft

ans 8 ft

Answer:

Step-by-step explanation:

a = 2 ft ;   b = 8 ft ;  C = 91

[tex]Area = \dfrac{abSin \ C}{2}\\\\ =\dfrac{2*8*Sin \ 91}{2}\\\\=8* 0.99\\\\= 7.92\\\\= 8 \ ft^{2}[/tex]

Answer:

60 degrees

Step-by-step explanation:

just add 33 and 27

Answer:

60°C

Step-by-step explanation:

27 - (-33) = 27+33 = 60

Answer:

19 degrees Fahrenheit.

Step-by-step explanation:

19-7=12

Answer:

Option A 7,000+200+20+9 is equivalent expression of 7,229. Because after adding 7,000+200+20+9 we get 7,299.

Answer:

$5.76

Step-by-step explanation:

Prinkpal balance = $24^4^6% =5.76

The principle amount will be equal to $100. The correct option is B.

The straightforward crediting of cash flows related to an investment or deposit is referred to as "simple" interest. Simple interest is calculated just on the loan's principal amount, whereas compound interest is calculated on both the principal and the cumulative interest.

Given that Imani earned $24 in interest after four years on an account that paid 6% simple interest annually.

The principle amount will be calculated by using the simple interest formula.

SI = ( P x R x T ) / 100

24 = ( P x 0.06 x 4 )

P = 24 / ( 0.06 x 4 )

P = $100

Therefore, the principle amount will be equal to $100. The correct option is B.

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Answer:

64, 65, 66

Step-by-step explanation:

16 x 4 = 64

13 x 5 = 65

6 x 11 = 66

^^

Let assume the age of sonali be x

[tex]\boxed{\sf \: \large\bf{\red{ \implies}} \: \Large\rm{\purple{ 3x + 5 = 44}}}[/tex]

Now , Solving this linear equation.

[tex] \begin{cases}\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ 3x + 5 = 44}} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ 3x \: = \: 44 \: - \: 5}} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ 3x \: = \:39 }} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ x \: = \: \frac{39}{3} }} \\ \\ \large\bf{\orange{ \implies}} \: \Large\tt{\blue{ x \: = \: \frac{ \cancel{39}\rm \tiny{\red{ \: \: \small^{13} }}}{ \cancel{3}} }} \\ \\\large\bf{\orange{ \implies}} \: \Large\tt{\blue{ x \: = \: 13 }}\end{cases}[/tex]

Hence , the age of sonali is 13 years.

Answer:

Sonali is 13 years old.

BRAINLIEST, PLEASE!

Step-by-step explanation:

Assigning variables:

s = Sonali, f = father

Setting up an equation:

f = 5 + 3s

Solving with substitution:

(44) = 5 + 3s

39 = 3s

s = 13

Checking the work:

44 = 5 + 3(13)

44 = 5 + 39

44 = 44

Answer:

6.4 units

Step-by-step explanation:

The points plotted on a graph forms a right-angle triangle parallel with the x-axis. The hypotenuse is the direct distance between the points. So

a**2 + b**2 = c**2 where a is the x difference and b is the y difference

(2 -7)**2 + (-6 -(-2))**2 = c**2

-5**2 + -4**2 = c**2

25 + 16 = c**2

41 = c**2

41**(1/2) = (c**2)**(1/2)   and ignore the negative because they're lengths

6.4 = c

Answer:

6

Step-by-step explanation:

it has 6 sides

please give brainliest

Answer:

6 faces

Step-by-step explanation:

Answer:32x -72

Step-by-step explanation:

Answer:

stem and leaf plot

Step-by-step explanation:

you can't find the range from a stem and leaf plot

Answer:

a=dollars6.10

b=dollars12.20

Step-by-step explanation:

Cap=x T-shirt=y

2x=3y 4x+2y=36.6

4x+ 3y=36.6 x=6.10

a) 4caps: 6.10

b) 3T-Shirt:3y=2x=2×6.10= 12.20

(According to Task)

An equation is formed when two equal expressions. The cost of a cap and the cost of 3 T-Shirts is $18.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the cost of a cap be represented by 'c', while the cost of a t-shirt is represented by t.

Given that 2 similar caps cost as much as 3 similar T-shirts. Therefore, the equation can be written as,

2c = 3t

Solve the equation for c,

c = (3/2)t....... equation 1

Now, it is also given that 4 such caps and 3 such T-shirts cost $36.60. Therefore, the equation can be written as,

4c + 3t = 36

Substitute the value of c from equation 1,

4(3/2)t + 3t = $36

6t + 3t = $36

9t = $36

t = $4

Now, substitute the value of t in the equation to get the value of c,

c = (3/2)t

c = (3/2) × $4

c = $6

Further, the cost of a cap, and the cost of 3 T-Shirts is,

Total Cost = c + 3t

                 = $6 + 3($4)

                 = $6 + $12

                 = $18

Hence, the cost of a cap, and the cost of 3 T-Shirts is $18.

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Answer:

x=1,296

Step-by-step explanation:

6x=7,776

  x=7,776/6

   x=1,296

Answer:

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

By using intersecting chord theorem:

NH.HT=MH.HY

(x+20)*8=12*20

x+20=12*20/8

x+20=240/8

x+20=30

x=30-20

x=10

Answer:

Juan- $238

Mary- $147

Step-by-step explanation:

if they earn $7 an hour then you would multiply that by how many hours they worked. So 34×7=238 for Juan and 21×7=147 for Mary.

Answer:

c.23

Step-by-step explanation:

easy keep sendin em

Answer:

(a+b)^2

= a^2 + 2ab + b^2 (this is the expanded formula of (a+b)^2)

Answer:

There can be 2 answers

Step-by-step explanation:

a²+2ab+b²= (a+b)²

or

(a+b)×(a+b)

= (a+b)²

Answer:

1.) x = 150

2.) x = 8.5

Step-by-step explanation:

1.)

[tex]\frac{x}{5}+10=40\\\\\frac{x}{5}=30\\\\x=150[/tex]

2.)

[tex]4x-36=-2\\\\4x=34\\\\x=8.5[/tex]

Answer:

1. x = 150

2. x = 8.5

Step-by-step explanation:

1. x/5 + 10 = 40

Get x by itself and then solve for x.

First, subtract 10 from both sides

x/5 + 10 - 10 = 40 - 10

x/5 = 30

Then, multiply by 5 to get x by itself.

x/5 = 30

x/5 * 5 = 30 * 5

x = 150

2. 4x - 36 = -2

Get x by itself and then solve for x.

First, add 36 to both sides

4x - 36 + 36 = -2 + 36

4x = 34

Then, Divide each side by 4

4x/4 = 34/4

x = 8.5

Answer:

Coordinate of P is (-2, -3)

Step-by-step explanation:

Gradient is the derivative of the curve:

[tex]y = {3x}^{2} + 11x + 7 \\ \\ \frac{dy}{dx} = 6x + 11[/tex]

but dy/dx is -1 :

[tex]6x + 11 = - 1 \\ 6x = - 12 \\ x = - 2[/tex]

substitute for x :

[tex]y = 3( - 2) {}^{2} + 11( - 2) + 7 \\ y = - 3[/tex]

Answer:

123/1

Step-by-step explanation:

-135- (-258)

123

123/1

brainliest is appreciated

Answer:

[tex]x \leq 7[/tex]

Interval notation: (-∞ , 7]

Step-by-step explanation:

Hi there!

[tex]4x - 6 \geq6x - 20[/tex]

Add 20 to both sides:

[tex]4x - 6+20 \geq 6x \\4x +14 \geq 6x[/tex]

Subtract 4x from both sides:

[tex]14 \geq 6x-4x\\14 \geq 2x[/tex]

Divide both sides by 2:

[tex]7 \geq x\\x \leq 7[/tex]

I hope this helps!

Answer:

Third one

Step-by-step explanation:

right = +

left = -

up = +

down = -

x - 7 + 3

Answer:

76( 6487235)

Step-by step explanation: