how do I solve this .... question in the image.

thank you​

How Do I Solve This .... Question In The Image. Thank You

Answers

Answer 1

Answer:

Below

Step-by-step explanation:

● x-20 = y+20 (1)

● 2(y-22) = x+22 (2)

This is a system of simulataneous equations

Let's simplify the expressions first

● x -20 = y + 20 (1)

Add 20 to both sides

● x -20 + 20 = y+20 +20

● x = y + 40 (1)

● 2(y-22) = x+22 (2)

● 2y - 44 = x +22

Substrat 22 from both sides

● 2y-44-22 = x+22-22

● 2y -66 = x (2)

This is the new system:

● x = y+40 (1)

● x = 2y-66 (2)

Substract (2) from (1)

● x-x = y+40-(2y-66)

● y+40-2y+66 = 0

● -y +106 = 0

● y = 106

Replace y with 106 in (1)

● x = y +40

● x = 106+40

● x = 146

So the solutions are (146,106)


Related Questions

simplify 5х + 6x — 3x

Answers

This can be simplified by grouping like terms:
5x + 6x - 3x = (5 + 6 - 3)x = 8x

Therefore the answer is 8x

Find the value of the expression 2x squared + 3y squared - 17 when x = 3 and y = 4

Answers

Answer:

the value would be 49

Answer:

[tex]2x^{2} + 3y^{2} -17 \\x=3 ; y=4\\\\2*2^{2}+ 3*4^{2}-17\\8+48 -17\\=39[/tex]

HOPE IT HELPS :)

PLEASE MARK IT THE BRAINLIEST!

6x² + 5x-2x
I am trying to do combining like terms

Answers

Step-by-step explanation:

To combine like terms, we need to find similar numbers. 5x and -2x can be simplified because they both end with x. 6x^2 is different because it ends with x^2. So to simplify, we subtract 2x from 5x to get 3x, and we add 6x^2 to get our answer.

Answer: [tex]6x^2+3x[/tex]

Answer:

6x² +3x

Step-by-step explanation:

We are given the expression:

[tex]6x^2 + 5x-2x[/tex]

and asked to combine like terms. Let's analyze the terms.

6x² ⇒ has a variable, x²

5x  ⇒ has a variable, x

2x  ⇒ has a variable, x

Now, let's group the like terms, 5x and -2x.

[tex]6x^2+ (5x-2x)[/tex]

Next, combine the like terms. Subtract 2x from 5x.

[tex]6x^2+(3x)[/tex]

[tex]6x^2+3x[/tex]

The expression 6x² +5x-2x simplified is 6x² +3x

P-18=3 solve for P??

Answers

Answer:

P=21

Step-by-step explanation:

The solution to the equation P - 18 = 3 for P is P = 21

How to determine the solution to the equation for P

From the question, we have the following parameters that can be used in our computation:

P - 18 = 3

Add 18 to both sides of the equation

so, we have the following representation

18 + P - 18 = 3 + 18

Evaluate the like terms on the right hand side

This gives

18 + P - 18 = 21

Evaluate the like terms on the left hand side

This gives

P = 21

Hence. the solution is 21

Read more about equations at

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Find the volume to the nearest cm3
20 cm
35 cm
12 cm

Answers

Answer: 10380cm^3

Explanation:

Find the volume of half cylinder:

V = (pi x r^2 x h)/2 (I use pi = 22/7 for simplifying)
V = 22/7 x 6^2/2 x 35
V = 22/7 x 36/2 x 35
V = 22/7 x 35 x 18
V = 22 x 5 x 18
V = 1980cm^3

Find the volume of the rectangle:

V = 20 x 35 x 12
V = 240 x 5 x 7
V = 1200 x 7
V = 8400cm^3

Find the volume of the whole shape:

V = 1980 + 8400
V = 10380cm^3

Help please!!!! Tyyy

Answers

Answer:x= 45°

Step-by-step explanation:

The value of angle LKN is 75°becausw the theorem vertically oposite angles

Then the value of angle LPN is 45° because figure LKNP is a rectangle so the sum of the angles should be 360°so 120°+120°+75°+angle LPN is 360°so the value of angle LPN is 45°

The value of x is also 45° because of vertically oposite angles theorem

Find the third side in simplest radical form:
25

Answers

Answer:

[tex] \boxed{ \bold{24}}[/tex]

Step-by-step explanation:

[tex] \mathsf{given}[/tex]

[tex] \mathsf{hypotenuse(h) = 25}[/tex]

[tex] \sf{perpendicular (p) = 7}[/tex]

[tex] \sf{base(b) = }[/tex]?

Now, Using Pythagoras theorem

[tex] \sf{{h}^{2} = {p}^{2} + {b}^{2} }[/tex]

plug the values

⇒[tex] \sf{ {25}^{2} = {7}^{2} + {b}^{2} }[/tex]

Evaluate the power

⇒[tex] \sf{625 = 49 + {b}^{2} }[/tex]

Swap the sides of the equation

⇒[tex] \sf{49 + {b}^{2} = 625}[/tex]

Move constant to right hand side and change it's sign

⇒[tex] \sf{ {b}^{2} = 625 - 49}[/tex]

Calculate the difference

⇒[tex] \sf{ {b}^{2} = 576}[/tex]

Squaring on both sides

⇒[tex] \sf{b = 24}[/tex]

Hope I helped!

Best regards!

An advertiser goes to a printer and is charged $37 for 90 copies of one flyer $53 for 285 copies of another flyer. This printer charges a fixed setup cost plus a charge for every copy of single-page flyers. Find a function that describes the cost of a printing job, if x is the number of copies made.

Answers

Step-by-step explanation:

[tex]f(x) = 30 + 0.08205x[/tex]

that is the function you are looking for.

first, we know that it is a fixed set up cost and charge for individual paper

Aisle 2 of a furniture store stocks 4-legged chairs, 4-legged tables, and 3-legged stools. If there are t tables, c chairs, and s stools, which expressions show the total number of furniture legs in aisle 2?

Answers

Answer:

T = 4c + 4t + 3s

Step-by-step explanation:

Stocks contains:

4-legged chairs

4-legged tables

3-legged stools

So, 1 chair has legs = 4

So, c chairs has legs = 4c

1 table has legs = 4

So, t tables has legs = 4t

1 stool has legs = 3

So, s stools has legs = 3s

Let T denotes the total no. of legs

So, the total number of furniture legs in aisle 2 :

T = 4c + 4t + 3s

Hence, T = 4c + 4t + 3s expression show the total number of furniture legs in aisle 2.

Hope it helped u if yes mark me BRAINLIEST! :)

Tysm!

Also sorry for late reply... :(

What is X<-1=?
[tex]x < - 1[/tex]

Answers

Answer:

X<-1.

Step-by-step explanation:

It means x is all numbers less than - 1

Answer:

[tex]\Large \boxed{\mathrm{The \ value \ of} \ x \ \mathrm{is \ less \ than} \ -1}}[/tex]

Step-by-step explanation:

[tex]x<-1[/tex]

That is the less than symbol.

[tex]x[/tex] represents a number.

The value of [tex]x[/tex] is less than -1.

Pretty please help me with this... I need this is about 40 minutes

Much appreciated!!

Answers

Answer:

1) 16 - 6 × (44 + 51 ) +76 -160

16 - 6 × 95 + 76 - 160

16 - 570 + 76 - 160

16 - 494 - 160

-638

2) 44 + 70 ÷ 2 × (49 + 51) × 2 × 0 + 1

44 + 70 ÷ 2 × 100 × 2 × 0 + 1

44 + 35 × 100 × 2 × 0 + 1

44 + 0 + 1

45

3) 4 + 20 × 7 - 66 × (44 + 51) × 0 + 4

4 + 20 × 7 - 66 × 95 × 0 + 4

4 + 140 - 6270 × 0 + 4

4 + 140 - 0 + 4

4 + 140 + 4

148

5) 69445 ÷ 70

992.0714

992.1

Step-by-step explanation:

In a birthday party all children got 3 candy's but 1 child got 2 candy's then if all children got 2 candy's then 8 candy is remaining how many andy's in total

Answers

Answer:

  22

Step-by-step explanation:

If there are n children, the number of candies in the first distribution is ...

  3n +1

If the same number of candies is distributed to the same n children, then the second distribution tells us ...

  2n +8 = 3n +1

  7 = n . . . . . . . . . subtract 2n+1. This is the number of children.

The number of candies is ...

  3(7) +1 = 22

There were 22 candies in total.

Answer:

22

Step-by-step explanation:

At a farmer's market Saturday, 5/8 of the vegetables sold were green. Of these, 3/4 were string beans. What fraction of the vegetables sold were string beans? (Write your answer as a fraction.) ASAP whoever answers first will get brainlist

Answers

Answer:

Your answer will be 1/8

Help!!!!
Somebody help me solve these questions please ​

Answers

Step-by-step explanation:

Area of a trapezium = SOPS/2 × ph

Sops is the sum of 4+10 = 14

14/2 is 7. 7×4 = 28

A = 28cm²

Area = L×W

10×6= 60cm²

h(x)=x•2+1 k(x)=x-2
(H+k)(2)

Answers

Answer:

What type of answer is it suppose to be? Essay, true or false, multiple answer?

Step-by-step explanation:

Which is the simplified form of 5x + 2y - 3x + y ?

Answers

Step-by-step explanation:

5x + 2y - 3x + y

Solving like terms

2x + 3y

Answer:

5x +2y -3x +y

= 2x +3y

2x+3y is the simplified form.

Jada is making lasagna and pizzas for a party recipe calls for 1 1/4 cups and she uses 1/2 she doubled her recipe and made 5 pizzas what's the evaluate and for how many 3/4 cans of tomato she need in all

Answers

This question is not correctly written

Complete Question

Jada is making lasagna and pizzas for a large party. Her lasagna recipe calls for 1 1/4 cups of tomato paste, and her pizza recipe uses 1/2 cup of tomato paste per pizza. She will double her lasagna recipe and make 5 pizzas. Write and evaluate an expression for how many 3/4- cup cans of tomato paste she will need in all.

Answer:

The evaluate and for how many 3/4-cup cans of tomato she need in all is 20/3

Step-by-step explanation:

Step 1

From the question, we are told that:

1 single lasgna recipe uses: 1 1/4 cups of tomato paste = 5/4 cups

If she doubles her recipe, the number of cups of tomato paste =

2 × 5/4 cups of tomato paste

= 10/ 4 = 5/2 cups of tomato pastes

Step 2

From the question, we are told that:

1 Pizza recipe = 1/2 cup of tomato pastes

5 Pizza =

5 × 1/2 cup of tomato paste

= 5/2 cups of tomato paste

Steps 3

The total number of cups of tomato paste Jada will use in making double lasagna and 5 pizzas is calculated as

= 5/2 + 5/2

= (5 + 5)/ 2

= 10/2

= 5 cups.

Step 4

We are asked to evaluate how many 3/4 -cup cans of tomato she need in all.

This means we should find how many 3/4 - cup cans can be found in the total number of cups of tomato paste that Jada used.

Total number of cups that Jada used = 5 cups of tomato paste

The number of 3/4-cup cans in 5 cups is calculated as:

5 ÷ (3/4)

= 5 × 4/3

= 20/3

Therefore, the evaluate and for how many 3/4-cup cans of tomato she need in all is 20/3

In an arithmetic progression the sum of the fifth and sixth terms is 44 and the sum of the first eighteen terms is thrice the sum of the first ten terms, find the value of the

Answers

Answer:

a = 5.5, d = 11/3

Step-by-step explanation:

An arithmetic progression is a sequence of number such that the difference between consecutive numbers is a constant. It is given by:

[tex]a_n=a+(n-1)d\\a_n \ is\ the \ nth\ term, d\ is\ the\ common\ difference\ and\ n \ is\ the \ number\ of\ terms[/tex]

The sum of fifth and sixth terms is 44

Therefore:

a + 4d + a + 5d = 44

2a + 9d = 44                       (1)

The sum of the first n terms is:

[tex]S=\frac{n}{2} (2a+(n-1)d)\\Therefore\ the\ sum\ of\ the\ first\ 18\ term\ is:\\\\S=\frac{18}{2} (2a+(18-1)d) = 9(2a+17d)=18a+153d\\\\The\ sum\ of\ the\ first\ 10\ term\ is:\\\\S=\frac{10}{2} (2a+(10-1)d) = 5(2a+9d)=10a+45d[/tex]

Since the sum of the first eighteen terms is thrice the sum of the first ten terms:

18a + 153d = 3(10a + 45d)

18 a + 153d = 30a + 135d

18a  - 30a + 153d - 135d = 0

-12a + 18d = 0                    (2)

Multiply equation 1 by 6 and add to equation 2:

72d = 264

d = 11/3

Putting d = 11/3 in eqn 2

-12a + 18(11/3) = 0

-12a + 66 = 0

12a = 66

a = 5.5

1 + 8x + 5 -4x = 2(x-3) - 2(x-2)

Answers

Answer:

  x = -2

Step-by-step explanation:

Eliminate parentheses and collect terms.

  1 +8x +5 -4x = 2(x -3) -2(x -2) . . . . . given

  6 +4x = 2x -6 -2x +4

  6 + 4x = -2

  4x = -8 . . . . . subtract 6

  x = -2 . . . . . . divide by 4

Solve for kkk. \dfrac{k}4+ 3= 14 4 k ​ +3=14

Answers

Answer:

its -2

Step-by-step explanation:

The value of k in equation k/4 + 3 = 14 is 44 and in the other equation 4k + 3 = 14 it will be 11/4.

What is a linear equation?

A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form Ax + B = 0.

We have given equation as

k/4 + 3 = 14

subtract by 3 both sides

k/4 + 3 -3 = 14 -3

k/4 = 11

On cross-multiplication, the equation becomes

k = 11(4)

k = 44

similarly,

4k + 3 = 14

subtract by 3 both sides

4k +3 - 3 = 14 - 3

4k = 11

On cross-multiplication, the equation becomes

k = 11/4

Thus, the value of k in both the equation is 44 and 11/4.

Learn more about linear equations;

https://brainly.com/question/16725192

You roll a number cube. Find P(number greater than 3)

Answers

Answer:

P (greater than 3) = 1/2

Step-by-step explanation:

A standard number cube has 6 sides, numbered 1 through 6.

We want to find the probability of rolling a number greater than 3. To find this probability, create a fraction. The numerator is the amount of numbers greater than 3 and the denominator is the total amount of numbers.

P(greater than 3)= numbers greater than 3/ total numbers

There are 3 numbers that are greater than 3 (4, 5 and 6).

There are 6 total numbers (1, 2, 3, 4, 5, and 6)

P (greater than 3) = 3/6

This fraction can be simplified. Both the numerator and denominator can be divided by 3.

P (greater than 3) = (3/3) / (6/3)

P (greater than 3)= 1/ (6/3)

P(greater than 3) = 1/2

The probability of rolling a number greater than 3 is 1/2.

What is the distance between the following points ?

Answers

Answer:

The square root of 85 (9.219544457 or 9)

Step-by-step explanation:

I got it correct on Khan Academy.

Hope this helps! :)

The number multiplied by the variable is called the ______________ of the variable.

Answers

Answer:

coefficient

explanation:

i just know the answer

Are there rotations , transitions or reflections in a chair? ( Geometry 1 honors, I will mark brainly.) ASAP

Answers

Answer:

see below

Step-by-step explanation:

There are reflections in a chair.  It really would depend on the chair.  This chair  would have a reflection along the y axis.  I don't know of any chair with a translation.  

Within a chair, we can have designs that are translations or rotations in the patterns of the fabric

how to do this question plz answer ​

Answers

Answer:

(⌐■-■)

Step-by-step explanation:

Add perimeter of a quarter circle with radius 7 cm.

Hope this helps....

Have a nice day!!!!

A cylindrical storage vessel is7cm in diameter and 6m long. Find its volumes. 211
231
251
271

Answers

Answer:

[tex] \boxed{ \huge{ \boxed{ \sf{ \bold{231 \: {cm}^{3} }}}}}[/tex]

Option B is the correct option.

Step-by-step explanation:

Given,

Diameter ( d ) = 7 cm

Radius is just half of diameter.

Radius ( r ) = 7 / 2 = 3.5 cm

Height ( h ) = 6 cm

Now, let's find the volume:

Volume of cylinder : [tex] \sf{\pi \: {r}^{2} h}[/tex]

plug the values

⇒[tex] \sf{ \frac{22}{7} \times {3.5}^{2} \times 6}[/tex]

Evaluate the power

⇒[tex] \sf{ \frac{22}{7} \times 12.25 \times 6}[/tex]

Calculate

⇒[tex] \sf{231 \: {cm}^{ 3} }[/tex]

Hope I helped!

Best regards!!

Answer:

The answer is 231 cm^3

Step-by-step explanation:

This is a volume question so we will bring out the question comment first:

Diameter= 7 cm

Height =6 cm

We have to change the diameter to radius so we will do: the diameter which is 7 divided by two which will be 3.5.

We can now start proper.

Formula of volume=pile r square h

22/7 or 3.14 times the radius raised to power 2 times the height=

22/7 x 3.5^2 x 6=

22/7 x 12.25 x 6=

231 cm³

Hope it helps.


A circular pond has a radius of 3 feet. What is the approximate distance around the edge of the pond?

Answers

Answer:

C=6π=18.84 ( if π=3.14)

Step-by-step explanation:

distance around the edge of the pond means the circumference of the circle=

C=2πr

C=2π(3)

C=6π=18.84 ( if π=3.14)

The approximate distance around the edge of the pond is 18.84 feet.

Given that, a circular pond has a radius of 3 feet.

What is circumference?

The circumference of a circle is the perimeter of the circle. It is the total length of the boundary of the circle. The circumference of a circle is the product of the constant π and the diameter of the circle.

We know that, the circumference of a circle is 2πr.

Now, 2×3.14×3

= 18.84 feet

Hence, the approximate distance around the edge of the pond is 18.84 feet.

Learn more about the circumference here:

https://brainly.com/question/28757341.

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A right circular cone of radius 6 inches, side length of 16 inches and height of h inches. Which is closest to the height of a cone that has a slant height of 16 inches and a radius of 6 inches? f 10 in. g 14.8 in. h 20 in. j 17.1 in.

Answers

Answer:

Height of cone (h) = 14.8 in (Approx)

Step-by-step explanation:

Given:

Radius of cone (r) = 6 in

Slant height (l) = 16 in

Find:

Height of cone (h) = ?

Computation:

Height of cone (h) = √ l² - r²

Height of cone (h) = √ 16² - 6²

Height of cone (h) = √ 256 - 36

Height of cone (h) = √220

Height of cone (h) = 14.832

Height of cone (h) = 14.8 in (Approx)

An airplane takes 8 hours to travel a distance of 5824 kilometers against the wind. The return trip takes 7 hours with the wind. What is the rate of the plane in still air and what is the rate of the wind?

Answers

Answer:

Speed of plane in still air = 780 km/h

Speed of air = 52 km/hr

Step-by-step explanation:

Let the speed of plane in still air = u km/h

Let the speed of air = v km/h

Against the air, the resultant speed = (u-v) km/hr

With the air, the resultant speed = (u+v) km/hr

Formula for speed is given as:

[tex]Speed = \dfrac{Distance}{Time }[/tex]

Given that:

Distance = 5824 km

Time taken against the wind = 8 hours

Speed against the wind:

[tex]u-v = \dfrac{5824}{8} \\\Rightarrow u-v = 728 ...... (1)[/tex]

Time taken with the wind = 7 hours

Speed with the wind:

[tex]u+v = \dfrac{5824}{7} \\\Rightarrow u+v = 832 ...... (2)[/tex]

Adding (1) and (2):

[tex]2u=1560\\\Rightarrow u = 780\ km/hr[/tex]

By equation (1):

[tex]780-v=728\\\Rightarrow v = 52\ km/hr[/tex]

Speed of plane in still air = 780 km/h

Speed of air = 52 km/hr

At the city museum, child admission is 5.50 and adult admission is 8.8 . On Thursday, three times as many adult tickets as child tickets were sold, for a total sales of 663.60 . How many child tickets were sold that day?

Answers

Answer:

78

Step-by-step explanation:

Adult tickets = x

Child tickets = 3(Adult tickets) = 3x

The cost of child admission is $5.50, and the cost of adult admission is $8.80.  Multiply the cost of admission by the variables and set equal to the total sales.

8.8(x) + 5.5(3x) = 663.6

8.8x + 16.5x = 663.6

25.3x = 663.6

x = 26

Child tickets = 3x

Child tickets = 3(26)

Child tickets = 78

78 child tickets were sold that day.

Other Questions
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