Figure A is a scale image of Figure B. What is the value of x?

khan academy

Answer:

x = 1 and y =5

Step-by-step explanation:

[tex]8x -2y= -2\\Divide by -2\\-4x+y = 1\\add 4x\\y= 1+4x\\[/tex]

Substitute this value of y in the next equation.

[tex]9x+5(1+4x) = 34\\9x+5+20x=34\\29x+5=34\\29x=29\\x=1[/tex]

Solve for y using x.

[tex]y=4x+1\\y=4(1)+1\\y=5[/tex]

Step-by-step explanation:

Given

x = 3/4

y = -2/5

Now

X + y = 3/4 - 2/5

[tex] \frac{3 \times 5 - 2 \times 4}{20} [/tex]

[tex] = \frac{15 - 8}{20} [/tex]

[tex] = \frac{7}{20} [/tex]

Answer:

7/20

Step-by-step explanation:

x=3/4

y= -2/5

x+y=?

to get the sum, plug in x=3/4 into the x and y= -2/5 into the y

1. x + y = ?

2. 3/4 + (- 2/5) = ?

3. 3/4 - 2/5 =?

4. find the lcm of 4 and 5 to get the common denominator (in this case, the lcm of 4 and 5 is 20)

5. multiply 3/4 by 5 (numerator and denominator) and 2/5 by 4 (numerator and denominator)

6. 15/20 - 8/20 = 7/20

the answer is 7/20

Step-by-step explanatio

Answer is: B

Step-by-step explanation: correct answer is B

b  

2

−a  

2

Given, acotθ+bcscθ=p

           bcotθ+acscθ=q

⇒p  

2

−q  

2

=(p−q)(p+q)

                   =[acotθ+bcscθ−bcotθ−acscθ][acotθ+bcscθ+bcotθ+acscθ]

                   =[cotθ(a−b)−cscθ(a−b)][cotθ(a+b)+cscθ(a+b)]

                   =(a−b)(cotθ−cscθ)(a+b)(cotθ+cscθ)

                   =(a  

2

−b  

2

)(cot  

2

θ−csc  

2

θ)

                   =(−1)(a  

2

−b  

2

)[∵csc  

2

θ−cot  

2

θ=1]

                   =(b  

2

−a  

2

)

Answer:

He must sell 1390 carrots

Step-by-step explanation:

30x + 300x/30 = 55500

40x = 55500

x = 1387.5

1387.5

multiply 30 by .3 to get $9 for 30 carrots

Then add $3 to this amount to get $12 dollars.

Divide 555 by 12 to get 46 R3.

Multiply 46 by 30 because its 46 bundles of 30 carrots

Then divide the 3 dollars by .3 for each carrot to get 10 carrots

1380+10 = 1390

Hasib must sell 1390 carrots in order to earn $555.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given information; Hasib earns 30 cents for every carrot he sells. He earns an extra $3 for every 30 carrots he sells.

So, the equation form;

30x + 300x/30 = 55500

40x = 55500

x = 1387.5

Now, multiply 30 by .3 to get $9 for 30 carrots

Then add $3 + 9 = $12 dollars.

Now, Divide 555/ 12 = 46 R3.

46 x 30  = 1380  because its 46 bundles of 30 carrots

For each carrot to get 10 carrots

1380 + 10 = 1390

Therefore, Hasib must sell 1390 carrots in order to earn $555.

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Trả lời:

86 và 91

Giải thích từng bước:

Cho hai số là x và y. Nếu tổng của chúng là 177, thì;

x + y = 177 ... 1

Nếu 17 bị trừ đi số đầu tiên, nó được biểu thị là x - 17

Nếu 25 được thêm vào số thứ hai l, nó được biểu thị bằng y + 25

Nếu số thứ nhất bây giờ bằng 2/3 số thứ hai, thì:

x-17 = 2/3 (y + 25) .... 2

Từ 1, x = 177-y ... 3

Thay thế 3 thành 2

177-y-17 = 2/3 (y + 25)

160-y = 2/3 (y + 25)

3 (160-y) = 2 (y + 25)

480-3y = 2y + 50

-3y-2y = 50-480

-5y = -430

y = 430/5

y = 86

Vì x = 177-y

x = 177-86

x = 91

Do đó hai số là 86 và 91

Answer:

(1,3)

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

1. Electrical energy consumption is measured at kilowatt-hour (KWh). Thus the cost of energy consumed for the month is $31.104.

2. The amount of energy used in the house for the month is 731.634 KWh.

3. The length of the board equals the sum of each length of the pieces. The length of the board to buy is 8.70 feet.

1. The rate of consumption of energy is measured in kilowatt-hour.

In the given question,

12 cent is paid per kilowatt-hour.

60 watts of light for 1 hour = 0.06 KWh

3 light bulbs of 60 Watts each for 1 hour = 3 x  0.06

                                           = 0.18 KWh

But,

30 days = 30 x 24 hours

                        = 1440 hours

The total energy consumed for the month = 1440 x 0.18

                                      =  259.20 KWh

The total cost for the month = 0.12 x 259.20

                                               = $31.104

Thus, the total cost for the month is $31.104.

2. Charge per kilowatt-hour = $0.11

Total power bill = $80.48

So that,

Total cost on bill = amount charge per kilowatt x total energy consumed in KWh

Which implies;

$80.48 = $0.11 x total energy consumed in KWh

total energy consumed = [tex]\frac{80.48}{0.11}[/tex]

                               = 731.634 KWh

Therefore, the amount of energy used in the house for the month is 731.634 KWh.

3. Each length of the two end pieces = 2.6 feet each

Given that the remaining piece needs to be 0.86 times longer than each of the first two. Then;

the length of the remaining piece = 2.6 + 0.86

                                                         = 3.46

The length of the remaining piece = 3.46 feet

The length of the board to buy = 2.6 + 2.6 + 3.46

                                                   = 8.66

Thus, the length of the board to buy is 8.70 feet.

Related link: 1, 2. https://brainly.com/question/13988193

                     3. https://brainly.com/question/16046083

Answer:

27 cubic meters

Step-by-step explanation:

For square, length and width is same.

3x3 = 9 square meters

3x3x3 = 27 cubic meters

Volume of a cube = length · width · height, or:

Volume of a cube = length³

We know that a cube is made up of 6 squares, so if the area of one of the squares is 9, we can take the square root to find the sides:

√9 = ±3

(and in this case, you can't have negative measurements, so it's positive.)

Now, all we have to do is cube the side length, so:

3³ = 27.

If you have any questions, feel free to ask! :)

Hi! I'm happy to help!

We can see that A's coordinates currently are -6 for x and 2 for y.

When we move x+3, it moves the x coordinate to the right 3 units. This changes it from -6 to -3. When we move y -2, we move the y coordinate down 2 units. This changes it from 2, to 0.

To sum it up: The final coordinates of A will be -3 for x and 0 for y, also written as (-3,0).

I hope this was helpful, keep learning! :D

Answer:

4/9 is the answer for this question

Step-by-step explanation:

Answer:

Step-by-step explanation:

x = 4.999....  ---------(I)

After decimal point only one digit is repeating. So multiply both sides by 10

10x = 49.999.....(II)

subtract (I) from (II)

10x = 49.999...

x    =   4.999....  {subtract}

   9x = 45

    x = 45/9

x = 5/1

Answer:

4

Step-by-step explanation:

The ratio of the area of similar figures is the ratio between corresponding sides squared. This means that 64/4 or 16 is the square of the ratio of corresponding sides. By taking the square root of 16, we get that ratio is 4.

Answer:

a) 450 gravel   b)1250 sand

Step-by-step explanation:

:)

Answer:

0.13

Step-by-step explanation:

N(s)=310+276+155+445

=1186

P=155:1186

=0.13

The rate of change is 7 because its 7 miles per hour

Answer:

● 23.55 units

Step-by-step explanation:

Arc length = 5( 270 π/ 180)

= 7.5 π units

= 7.5 (3.14)

= 23.55 units

OAmalOHopeO.

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

Explanation:

For now, we'll just find the perimeter of the full circle. The term "circumference" is the same as the perimeter of the circle.

Use the circumference formula to get

C = 2*pi*r

C = 2*3.14*5

C = 31.4

The distance around the full circle is approximately 31.4 units. It's approximate because pi = 3.14 is approximate.

We don't want the full distance around the circle. Instead, we want just the length of the green arc shown in the drawing. This is exactly 3/4 of the full circle, aka 3/4 = 0.75 = 75% of the full perimeter.

The length of the green arc is about 0.75*C = 0.75*31.4 = 23.55 units long. Imagine using a cloth ruler (used in tailoring clothes) as one way to confirm that this arc length is roughly 23.55 units long. Or you could imagine unwrapping this curved portion to lay it completely straight and flat against a ruler.

Look in the images it is solved.

Answer:

d ≤3

Step-by-step explanation:

9−4d≥−3

Subtract 9 from each side

9-9−4d≥−3-9

−4d≥−12

Divide by -4, remembering to flip the inequality

-4d/-4 ≤ -12/-4

d ≤3

360 grms of 6kg

answer,

first convert 6kg into grms.

6kg = 6000grms.

now,

360 grms of 6kg= (360/6000)×100•/•

= 6 •/•

Answer:

136^3 cm

Step-by-step explanation:

Big square:

5 × 4 × 6 = 20 × 6 = 120

Small rectangle:

7 - 5 = 2

2 × 2 × 4  = 4 × 4 = 16

Both:

120 + 16 = 136

The volume of this figure is 136 cm^3.

Hope this helped.

Answer:

Below

Step-by-step explanation:

First you can find the front area and just multiply it by the length

Find the area of the small square

A = lw

   = (2)(2)

   = 4 cm^2

Find the area of the large square

A = lw

   = (6)(5)

   = 30 cm^2

Now just multiply the area of the two by the length

34 x 4 = 136 cm^3

Hope this helps!

Answer:

m = 7 - 3n

Step-by-step explanation:

subtract 3n from both sides of the equation

7 ( X — 1 ) + 15 ( X + 9 )

= 7 X — 7 + 15 X + 135

= 22 X + 135 — 7

= 22 X — 128 ( Ans )

7 ( X – 1 ) + 15 ( X + 9 )

= 7X – 7 + 15X + 135

= 7X + 15X + 135 – 7

= 22X + 128 ( Answer )

Answer:

standard= 21.333%

prime= 42.666%

expedited= 6.666%

locker= 29.333%

Step-by-step explanation:

Slope = rise/run = 1/2

You need to plot these two points = (1,0) and (3,1) and make a line paas through

Answer by Gauthmath

Answer:

arc GH = 74°

Step-by-step explanation:

The inscribed angle GFH is half the measure of the intercepted arc aGH, then

arc GH = 2 × 37° = 74°

Answer:

[tex]\frac{1}{9}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex] , then

[tex]3^{-2}[/tex] = [tex]\frac{1}{3^2}[/tex] = [tex]\frac{1}{9}[/tex]

Answer:

C. 4

Step-by-step explanation:

The graph seems to start at y=4, and decreases.

Answer:

Marquice sold 20 tickets and Tim sold 25 tickets

Step-by-step explanation:

Let us assume that Tim sold x number of tickets, Marquice sold 25% more x or 1.25x. ATQ, x+1.25x=45. x=20. So Marquice sold 20 tickets and Tim sold 25 tickets

Step-by-step explanation:

square of 5 is 25 and it divided by the cube root of 27 means 3

Now ,

#25÷3

= 8 [1] (•°• 3×8 = 24)

Here,

we got 1 as a reminder .

Hope it is helpful to you

✌️✌️✌️✌️✌️✌️✌️

The remainder will be 1.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The square of 5 is divided by the cube root of 27.

Now,

Since, The square of 5 is divided by the cube root of 27.

Hence, We get;

⇒ 5² / ∛27

⇒ 25 / 3

After divide we get;

 3   )  25  ( 8

         24

       --------

          1

Thus, The value of remainder = 1

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