This is the answer to a problem or an equation.

Example: For 3x+6=27, this is x=7

Answers

Answer 1

Answer:

x=7 is the answer

3x+6=27 is the equation

x=7 is the correct answer for the equation.

Answer 2

To solve the equation 3x + 6 = 27, subtract 6 from both sides and then divide by 3 to get x = 7. Verify by substituting x = 7 back into the original equation. This confirms the solution is correct by making a true statement.

Step by Step Solution:

When solving an algebraic equation, the goal is to find the value of the variable that makes the equation true. For example, consider the equation 3x + 6 = 27. To solve for x, follow these steps:

Subtract 6 from both sides of the equation: 3x + 6 - 6 = 27 - 6, which simplifies to 3x = 21.

Next, divide both sides by 3: 3x / 3 = 21 / 3, which gives x = 7.

To verify the solution, substitute x = 7 back into the original equation: 3(7) + 6 = 27. Simplifying this, we get 21 + 6 = 27, which is a true statement, verifying our solution.

Note that an identity in algebra is an equation that is true for all values of the variable, such as 6 = 6. In our example, the solution x = 7 makes both sides of the original equation equal, thus satisfying the equation.


Related Questions

If it is 12:50, what will the time be 5 hours and 20 minutes later?

Answers

Lets first make it easier.

If you add the 20 minutes to 12:50 it will turn to 1:10.

After this you add the 5 hours.

This will turn 1:10 into 6:10.

Hope this helps :)

The length of a rectangle is five feet less than
its width. If the area of the rectangle is 84
square feet, find its dimensions.

Answers

Answer:

Length is w-5

Area  = length x width

84 = (w-5)w

84 = w^2 - 5w

0 = w^2 - 5w - 84

0 = (  w     -    12 )( w   +     7    )

w + 7 = 0 leads to negative measures.

w-12=0 ---> w = 12

width is 12, length is 5 less, or 7

The dimensions of the rectangle are 12 feet by 7 feet, determined by solving the quadratic equation derived from the relationship between the length and width and the given area of the rectangle.

To find the dimensions of a rectangle where the length is five feet less than its width and the area is 84 square feet, we can set up an equation. Let's define the width of the rectangle as w feet. Then, the length would be w - 5 feet. Since the area of a rectangle is defined as the product of its length and width, we get the following equation:

w times (w - 5) = 84

Expanding the left side gives us:

w^2 - 5w = 84

To solve this quadratic equation, move all terms to one side to set the equation to zero:

w^2 - 5w - 84 = 0

Factoring the quadratic equation, we look for two numbers that multiply to give -84 and add to give -5. These numbers are -12 and +7. So the equation factors as follows:

(w - 12)(w + 7) = 0

The solutions to the equation are w = 12 and w = -7. However, width cannot be negative in this context, so we discard w = -7. Thus, the width is 12 feet and the length is 12 - 5 = 7 feet.

Therefore, the dimensions of the rectangle are 12 feet by 7 feet.

pleaseeeee answer this questionnnn it would mean alot please show work and explain thanks☺​

Answers

Answer:

Shown in the picture

Step-by-step explanation:

A:

Set the value of x to "5" and "30" to find the corresponding values of y (i.e. the altitudes of the plane at 5 or 30 minutes after beginning descent).

B:

Use the the same method to determine the set of coordinates (/ordered pairs) at each of the values for x given in part B of the question.

C:

The initial value is simply the starting value of y, or in other words, the altitude at which the plane begins to descend in this context;

So it will be 0 mins after the beginning of descent of the plane, i.e. when x = 0, therefore the answer is (0, 28000) as an ordered pair or simply 28000 ft.

D:

Rate of change is a fancy or more technical way of referring to the gradient of a function;

In this case of the context of a plane descending, it refers to the change in altitude over time;

This can be calculated using any two ordered pairs (or coordinates as I call them) using the formula of the difference in the y values divided by the difference in the x values.

Jane construct a four sided wall to wall to surround their castle . The wall has a perimeter of 100 feet. One side measures 16 feet. A different side side measures 22 feet. A third side measures 34 feet. What is the unknown side length

Answers

Answer:

34+22=56+16=72 100-72=28 feet

Step-by-step explanation:

WILL MARK BRAINLIEST AND THANK YOU!!! PLEASE HELP!!

Find the area of the shaded region.

540 sq km


113.1 sq km


426.9 sq km


320 sq km

Answers

Answer:

426.9 Km²

Step-by-step explanation:

The shaded area is the area of the triangle subtract the area of the circle.

Area of triangle = 0.5 bh ( b is the base and h the perpendicular height )

Here b = 40 and h = 27, thus

Area = 0.5 × 40 × 27 = 20 × 27 = 540 Km²

Area of circle = πr² ← r is the radius

Here the diameter is 12, thus radius = 12 ÷ 2 = 6

Area = π × 6² = 36π ≈ 113.1 Km²

Shaded area = 540 - 113.1 = 426.9 Km²

It takes 1 and 1 4th cups of milk to make 8 pancakes, how many cups of milk is needed to make 20

Answers

You need
1
3 —
8
Cups of milk.

729.46 what digit is in the tenths place ?

Answers

Answer:

4

Step-by-step explanation:

The first digit after the decimal point is the tenths place. in this case, it would be 4

Answer:

4 Is in the tenths place

Step-by-step explanation:

7 in the hundreds

2 in the tens

9 in the ones

4 in the tenths

6 in the hundredths


Calculate for pressure (P=F/A)
Force = 2,000 N
Area = 80 cm2

Answers

Answer:

25Ncm^2

Step-by-step explanation:

Pressure = force/area

Force = 2000N

Area = 80cm^2

Therefore,

Pressure = 2000/80

= 25Ncm^2

A building is 3 ft from an 8​-ft fence that surrounds the property. A worker wants to wash a window in the building 13 ft from the ground. He plans to place a ladder over the fence so it rests against the building.​ (See the​ figure.) He decides he should place the ladder 8 ft from the fence for stability. To the nearest tenth of a​ foot, how long a ladder will he​ need?

Answers

Answer:

Length of the ladder used by worker = 17 feet

Step-by-step explanation:

Given:

Height of the window from the ground = 13 ft

Distance of fence from the building = 3 ft

Distance of ladder from the building = (3+8) = 11 ft

We have to find the length of the ladder.

Let the length of the ladder be 'x'

From the diagram we can also say that 'x' is the hypotenuse of the right angled triangle.

Using Pythagoras formula:

⇒ [tex]hypotenuse\ 'x' =\sqrt{(perpendicular)^2+(base)^2}[/tex]

Here base length = 11 ft

Perpendicular = 13 ft

Plugging the values:

⇒ [tex]x=\sqrt{(13)^2+(11)^2}[/tex]

⇒  [tex]x=\sqrt{(169+121)}[/tex]

⇒ [tex]x= \sqrt{290}[/tex]

⇒ [tex]x=17.02[/tex] feet

The length of the ladder = 17 feet to its nearest tenth.

The worker will need a ladder that is approximately 8.5 feet long. This calculation is based on the Pythagorean theorem, considering the ladder's placement 8 feet from the fence and the need to reach a window 13 feet above the ground.

To find the length of the ladder the worker needs, we can use the Pythagorean theorem, as the ladder, the distance from the building, and the distance from the fence form a right triangle.

Let:

L be the length of the ladder.

D be the distance from the building to where the ladder rests (8 ft).

F be the distance from the fence to where the ladder rests (3 ft).

According to the Pythagorean theorem, we have:

[tex]L^2 = D^2 + F^2[/tex]

Substitute the known values:

[tex]L^2 = 8^2 + 3^2[/tex]

[tex]L^2 = 64 + 9[/tex]

[tex]L^2 = 73[/tex]

Now, take the square root of both sides:

L ≈ √73 ≈ 8.54 ft (rounded to the nearest tenth)

So, the worker will need a ladder that is approximately 8.5 feet long to safely reach the window 13 feet above the ground when placed 8 feet from the fence for stability.

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What is the LCM (least common multiple) of 2 and 7?

Answers

The answer is 14. 2x7=14 and 7x2=14. It is the lowest integer that is evenly divisible by both 2 and 7

Answer:

14

Explanation:

2  l     7

4  l    14

6  l   21

8  l   28

10 l  35

12 l  42

14 l  49

If you noticed the italized, bold, and underlined number fourteen, you would notice that 2 and 7 both have number fourteen as a multiple and it is also the least common multiple.

In x-5=9 the correct way to isolate the variable is to The number On both sides.

Answers

Answer:

x=14

Step-by-step explanation:

not sure what your asking for???

x-5=9

x=14

7. Two shoppers bought meat at a
supermarket deli. The first bought 3
pounds of meat for $9.87. The second
bought 4 pounds of meat for $16.76.
Neither of the shoppers had a coupon or
a discount card. Can you tell if both
shoppers bought the same kind of meat?
Explain why or why not.
s?

Answers

Final answer:

By calculating and comparing the price per pound of meat for each shopper, it is clear that they paid different prices per pound ($3.29 and $4.19), indicating they did not buy the same kind of meat.

Explanation:

To determine if both shoppers bought the same kind of meat, we need to calculate the price per pound that each shopper paid and compare the results. The first shopper bought 3 pounds for $9.87. To find the price per pound, we divide $9.87 by 3 pounds, which gives us $3.29 per pound.

The second shopper bought 4 pounds for $16.76. Similarly, we divide $16.76 by 4 pounds to get $4.19 per pound. Since the price per pound for each shopper is different, we can deduce that they did not buy the same kind of meat.

What is the value of the expression below?

7 divided by 2 minus 4.5 x times 3 + 8

Answers

Answer:

-2

Step-by-step explanation:

What is the answer to -8(-8x-6)=-6x-22

Answers

Answer:

THE ANSWER IS 1.2068965517

Step-by-step explanation:

Martin has a 7/23 balloon mortgage on his $195,000 home. He has been

making payments of $965 each month and will have a balloon payment due

for the amount of $170,143. If he decides to make the balloon payment, what

will be the total financed price he paid for his home?

Answers

Answer: 251,203

Step-by-step explanation:

Martin pays 965 every month for seven years. Therefore,

965×12×7= 81,060

Then, he has a balloon payment of 170,143 to make. Therefore, totaal financed price he paid for his home is 81,060+170,143= 251,203.

Answer: 251,203

Step-by-step explanation:

Martin pays 965 every month for seven years. Therefore,

965×12×7= 81,060

Then, he has a balloon payment of 170,143 to make. Therefore, totaal financed price he paid for his home is 81,060+170,143= 251,203.

A right rectangular prism's edge lengths are 2 1 2 inches, 2 inches, and 6 inches. How many unit cubes with edge lengths of 1 3 inch can fit inside the prism?

Answers

Answer:

810 cubes

Step-by-step explanation:

step 1

Find the volume of the rectangular prism

The volume of the rectangular prism is

[tex]V=LWH[/tex]

we have

[tex]L=2\frac{1}{2}\ in=2+\frac{1}{2}=\frac{5}{2}\ in[/tex]

[tex]W=2\ in\\H=6\ in[/tex]

substitute

[tex]V=(\frac{5}{2})(2)(6)[/tex]

[tex]V=30\ in^3[/tex]

step 2

Find the volume of the cube

The volume of the cube is

[tex]V=b^3[/tex]

where

b is the length side of the cube

we have

[tex]b=\frac{1}{3}\ in[/tex]

substitute

[tex]V=(\frac{1}{3})^3[/tex]

[tex]V=\frac{1}{27}\ in^3[/tex]

step 3

Find out how many unit cubes with edge lengths of 1/3 inch can fit inside the prism

Divide the volume of the prism by the volume of the cube

[tex]30:\frac{1}{27}=30(27)=810\ cubes[/tex]

a cheetah runs at a rate of 75 miles per hour about how many leaders can it run in 5 seconds​

Answers

Answer:

Distance in meters D = 167.75 meters

Step-by-step explanation:

Distance covered in 5 seconds is given by:

Distance, D = Speed (S) X Time (T)

Where,

Distance = ?

Speed = 75mph

Time = 5s

Since we are calculating distance in meters, we have to convert 75miles per hour to meters per second

75mph = 75miles/1hr X 1km/0.621miles X 1000m/1km X 1hr/60mins X 1min/60s

            = (75X1000) / (0.621X60X60) meter per second

            = 75000/2235.6 meter per second

            = 33.55 meter per second

∴ Distance D = 33.55 meter per second X 5 seconds

                      = 167.75 meters

Find the area of a square Park whose perimeter is 320m.

Answers

Answer:

Step-by-step explanation:

A square is equal on each side. There are a total of 4 sides so we would take 320 and divide it by four to find the size of one side.

320/4

80

A = lw

A = 80 x 80

A = 6400 m^2

Which statement correctly compares the constants of variation for the graph and the equation below?


On a coordinate plane, a line goes through points (0, 0) and (1, 3).






StartFraction 10 x Over 3 y EndFraction = 1

The graph has a greater constant of variation.
The equation has a greater constant of variation.
The constant of variation is the same for the graph and the equation.
The constant of variation cannot be compared because the equation is nonproportional.

Answers

Answer:

  The equation has a greater constant of variation

Step-by-step explanation:

The graph is of a line through point (0, 0) can be represented by the equation ...

   y = kx

Using the given values for x and y, we see that ...

  3 = k·1

  k = 3 . . . . . the constant of variation for the graph

__

The given fraction can be rewritten as ...

  y = (10/3)x = (3 1/3)x

In this form, the constant of variation is 3 1/3, greater than that of the graph.

Answer:

The equation has a greater constant of variation

Step-by-step explanation:The equation has a greater constant of variation

what is 17½ divided by ⅚​

Answers

the answer would be 21

Answer:

Step-by-step explanation:

(17 1/2) / (5/6) =

(35/2) / (5/6) =

35/2 * 6/5 =

105/5 =

21 <===

4/5 divided by 3/4 which equals something

Answers

Answer:

1.067

Step-by-step explanation:

16/15 is the answer

What is the first step when solving the equation below for x 4x - 0.2 = 1.9


A. Add 1.9 to both sides of the equation
B. Subtract 0.3 from both sides of the equation
C. Divide each side of the equation by 4
D. Add 0.3 to both sides of the equation

Answers

Answer:

First add 0.2 to both sides

x = 0.53

Step-by-step explanation:

4x - 0.2 = 1.9

4x - 0.2 + 0.2 = 1.9 + 0.2

4x = 2.1

Divide both sides by 4

4x/4 = 2.1/4

x =0.53

What is x in this equation 2-3/4x=11

Answers

Answer:

x=-12

Step-by-step explanation:

2-3/4x=11

3/4x=2-11

3/4x=-9

x=-9/(3/4)

x=(-9/1)(4/3)

x=-36/3

x=-12

1/2x-1/3y=5
X=2/3y+10
What is the y and the x

Answers

Answer:

The system has infinite solutions

Is a consistent dependent system

Step-by-step explanation:

we have

First equation

[tex]\frac{1}{2}x-\frac{1}{3}y=5[/tex]

Isolate the variable y

[tex]\frac{1}{3}y=\frac{1}{2}x-5[/tex]

Multiply by 3 both sides

[tex]y=\frac{3}{2}x-15[/tex] ----> equation A

Second equation

[tex]x=\frac{2}{3}y+10[/tex] -

Isolate the variable y

[tex]\frac{2}{3}y=x-10[/tex]

Multiply by 3/2 both sides

[tex]y=\frac{3}{2}x-15[/tex] ---> equation B

Compare equation A and equation B

The equations are identical

therefore

The system has infinite solutions

Is a consistent dependent system

What is the product? [4 2] x [-2 5 7 -1]

Answers

Answer:

The answer is [6 18}

Step-by-step explanation:

I just took the test :)

The product of the matrices [4 2] and [-2 5 7 -1] is a 1x4 matrix. The resulting matrix is [-8 -4 20 10].

 

In order to find the product of two matrices, we need to ensure that the number of columns in the first matrix matches the number of rows in the second matrix. The first matrix, [4 2], has 1 row and 2 columns (1x2), while the second matrix, [-2 5 7 -1], has 2 rows and 4 columns (2x4). Since the number of columns in the first matrix matches the number of rows in the second matrix, we can proceed with matrix multiplication.

To compute the product, we perform the following steps:

Step 1: Take the first row of the first matrix and multiply each element by the corresponding element in the first column of the second matrix.  

- First element: 4 * (-2) = -8  

- Second element: 2 * (-2) = -4

Step 2: Take the first row of the first matrix and multiply each element by the corresponding element in the second column of the second matrix.  

- Third element: 4 * 5 = 20  

- Fourth element: 2 * 5 = 10

Step 3: Now, we have the elements for the first row of the resulting matrix: [-8 -4 20 10].

Step 4: Repeat the above steps for the second row of the first matrix.

Step 5: Combine the results to form the final product matrix: [-8 -4 20 10].

So, the product of the matrices [4 2] and [-2 5 7 -1] is the 1x4 matrix

[-8 -4 20 10].

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What is the slope intercept form of this equation? 8x +6y=12

Answers

Answer:

y=-4/3x+2

Step-by-step explanation:

Kate wants to build a fence around her garden to prevent her rabbits from eating her vegetables. The rabbit fencing costs $7.50 per metre. How much will it cost to enclose a square garden with an area of 144m^?

Answers

It costs $ 360 to enclose a square garden with an area of 144 square meter

Solution:

Given that,

Kate wants to build a fence around her garden to prevent her rabbits from eating her vegetables

Given is a square garden

Area = 144 square meter

The area of square is given as:

[tex]Area = (side)^2\\\\144 = (side)^2\\\\Take\ square\ root\ on\ both\ sides\\\\side = 12[/tex]

Thus length of side of square is 12 meter

Find the perimeter of square garden:

Perimeter = 4(side)

Perimeter = 4(12)

Perimeter = 48 meter

The rabbit fencing costs $7.50 per meter

[tex]Cost = perimeter \times 7.50\\\\Cost = 48 \times 7.50\\\\Cost = 360[/tex]

Thus it costs $ 360 to enclose a square garden with an area of 144 square meter

Jack has a square garden in front of his house. The garden has an area of 66 square yards. Find the length of each side of the garden. Round your answer to the nearest tenth of a yard.
1. 8.2 yards
2. 8.1 yards
3. 8.3 yards
4. 8.4 yards

Answers

Its 2 because 8.1 yards are the nearest 10 yard

Find the missing number:
QUICKLY PLEASE

Answers

Missing value is Decreased by 20%

Step-by-step explanation:

We need to find the missing term.

As we can see from the figure we go from Decreased 10% and then decreased 10% to reach the final goal.

If we directly go from starting point to end point the total will be decreased by 20% as (10%+10%= 20%)

So, Missing value is Decreased by 20%

What are the coordinates of the image of vertex R after a reflection across the y-axis? (–4, 3) (4, –3) (–3, –4) (3, 4)

Answers

(–4, 3) (4, –3) (–3, –4) (3, 4)

this is a rather simple yet complex concept the easiest way to solve these is to do the exact opposite.

so in this instance it is refrcted across the y-axiss so we swap ONLY the x value NOT the Y ie (-4,3) would switch to (4,3)

same thing would apply if it reflected across x-axis ex (-4,-3)

If it reflect across orgin you change both signs. ex (4,-3)

ie.

(–4, 3) (4, –3) (–3, –4) (3, 4)

changes to

(4, 3) (-4, –3) (3, –4) (-3, 4)

hope it helps

The coordinates of the image of vertex R after a reflection across the y-axis is (3, 4).

What is reflection?

A reflection is an involution: when applied twice in succession, every point returns to its original location, and every geometrical object is restored to its original state.

Given is a point R = (-3, 4) we need to find the coordinates of the point R after it being reflected over y-axis,

So, we know that,

When dealing with reflection of a line or shape or a figure in the coordinate plane, especially if it is reflected across the y-axis, you just have to give the opposite of the given (original) x- coordinate in order to give a symmetric figure.

The rule of reflection over y-axis is =

(x, y) = (-x, y)

So,

R = (-3, 4), after it being reflected over y-axis =

R' = (3, 4)

Hence the coordinates of the image of vertex R after a reflection across the y-axis is (3, 4).

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