Solve the fraction problems and reduce the answer to its lowest form:-
1)7/10×2/21
2)9/16×10/21
3)11/12×26/55
4)2/6×18/12×2/3
5)5/6×9/10

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:

(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

let me know if any questions

Answer:

12 minutes

Step-by-step explanation:

steps are in picture below.

And if you have any question about it you can ask.

Answer:

x=1,296

Step-by-step explanation:

6x=7,776

  x=7,776/6

   x=1,296

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:32x -72

Step-by-step explanation:

Answer:

Third one

Step-by-step explanation:

right = +

left = -

up = +

down = -

x - 7 + 3

Answer:

c.23

Step-by-step explanation:

easy keep sendin em

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:

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:

1/2 of an answer is zero

Step-by-step explanation:

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:

stem and leaf plot

Step-by-step explanation:

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

Answer:

Step-by-step explanation:

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:

4

We know that

Area of rectangle = lb

Area = 10(20)

Area = 200 m²

Shaded region = πr²

=> 2 × 22/7 × (10/2)²

=> 2 × 22/7 × 10/4

=> 157 m²

Probability = 157/200 = 78.5%

5.

Area of the biggest circle = πr²

= 22/7 × (20)²

= 1256.6

Area of shaded region

π(10² - 5²)

π(100 - 25)

3.14(75)

235.6

Probability = 235.6/1256.6 = 18.7%

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:

9−7=−7

9−7+7=−7+7

9=0

9/9=0/9

=0/9

=0

Step-by-step explanation:

9−7=−7

9−7+7=−7+7

9=0

9/9=0/9

=0/9

=0

Answer:

19 degrees Fahrenheit.

Step-by-step explanation:

19-7=12

Answer:

i think its Quadrant 3, since their both negatives

Answer:

see explanation

Step-by-step explanation:

If segments are congruent then they are equal in length

Answer

5.56

Step-by-step explanation

The price of one ice cream cone is $2.38

The given parameters;

The actual amount Mrs Magee purchased the 3 ice cream cones;

Total amount paid = $10 - $2.86 = $7.14

The price of one ice cream cone is calculated as follows;

[tex]Price \ of \ each = \frac{Total \ cost}{total \ number } \\\\Price \ of \ each = \frac{\$7.14}{3} = \$2.38[/tex]

Thus, the price of one ice cream cone is $2.38

Learn more here: https://brainly.com/question/20814121

Step-by-step explanation:

[tex]here \: given \: that \: total \: lenth = bd = 67 \\ then \: bd = bc + cd \\ so \: we \: can \: write \: that \\ 67 = 3x - 2 + 4x + 13 \\67 = 3x + 4x - 2 + 13 \\ 67 = 7x + 11 \\ 7x = 67 - 11 \\ 7x = 56 \\ x = \frac{56}{7} \\ x = 8 \\ thankyou[/tex]

Answer:

[tex]\huge\boxed{\sf 22}[/tex]

Step-by-step explanation:

By looking at the line segment, we get to know that:

BD = BC + CD

Given that:

BD = 67

BC = 3x - 2

CD = 4x + 13

Solution:

Put the givens in the above equation made.

67 = 3x - 2 + 4x + 13

67 = 3x + 4x - 2 + 13

67 = 7x + 11

7x = 67 - 11

7x = 56

Divide both sides by 7

x = 56 / 7

x = 8

Now, Finding BC:

= 3x - 2

Put x = 8

= 3(8) - 2

= 24 - 2

= 22

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

I think c if not sorry

Step-by-step explanation:

C is the only one that makes sense

person uses the best cost saving strategy when deciding how to spend their money is Tyrone waited for a sale so he could get a lower price on his new skateboard.

The correct option is (C).

What is strategy?

Strategy is an action that managers take to attain one or more of the organization's goals. Strategy can also be defined as “A general direction set for the company and its various components to achieve a desired state in the future. Strategy results from the detailed strategic planning process”.

Considering the cost saving ,

Tyrone spends it in a better way cause he waits for the sale so that he could get the lower price for his new skateboard.

Other just look on the quality, first buyer, took the item in increased price.

Hence, Tyrone waited for a sale so he could get a lower price on his new skateboard.

Learn more about strategy here:

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