find the area of the figure

Answer:

x = 51

Step-by-step explanation:

(x-3) /4 = 12

Multiply each side by 4

(x-3) /4 *4 = 12*4

x-3 = 48

Add 3 to each side

x-3+3 = 48+3

x = 51

Answer:

[tex]\Huge \boxed{x=51}[/tex]

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

Step-by-step explanation:

[tex]\displaystyle \frac{x-3}{4} =12[/tex]

Multiplying both sides by 4.

[tex]\displaystyle \frac{x-3}{4} *4=12 *4[/tex]

[tex]x-3=48[/tex]

Adding 3 to both sides.

[tex]x-3+3=48+3[/tex]

[tex]x=51[/tex]

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

Answer:

169.2 cm

Step-by-step explanation:

Because the boxes are identical, the height of the combined boxes = 56.4 cm x 3 = 169.2 cm

Answer:

The number is 39

Step-by-step explanation:

Let the number at the tens place be x and the number at ones place be y.

Hence, The number is 10x + y.

From the question, the digit at ones place (y) is three times the digit at tens place (x). That is, y is three times x. This means

y = 3x ...... (1)

Also, When 54 is added to the number, its digits are reversed (That is, the resulting number would be 10y + x). This means

10x + y + 54 = 10y + x ...... (2)

Put the value of y = 3x from equation (1) into equation (2) to solve for x

Then,

10x + y + 54 = 10y + x

10x + 3x + 54 = 10(3x) + x

13x + 54 = 30x + x

13x + 54 = 31x

31x - 13x = 54

18x = 54

x = 54/18

x = 3.

Now, Put the value of x = 3 into equation (1) to solve for y

y = 3x

y = 3(3)

y = 9.

Hence, x = 3 and y = 9.

Since the number is 10x + y

Substitute the values of x and y.

Then,

10x + y = 10(3) + 9

=30 + 9

= 39

Hence, the number is 39.

Answer:

15x + 13

Step-by-step explanation:

Product of a number 'x' & 15 : x *15 = 15x

Sum of 15x & 13:

15x + 13

Answer:

17

Step-by-step explanation:

$4.25 - 17 quarters

$3.10 - 31 dimes

Answer:

17 quarters and 31 dimes are in the jar

Step-by-step explanation:

First, you need to set up two equations based on the information given.

First is an equation for the total number of coins:

48 = d + q

d = dimes

q = quarters

Second is an equation for the total amount in the jar and the respective amount per variable (d = .1 , q = .25).

7.35 = .1d + .25q

Using the first equation, you need to solve for one variable. In this case well solve for d, so we can later plug it in to solve for q.

48 = d + q

d =  48 - q

Next, we can plug our formula for d into our second equation, so we only have one variable to solve for, q.

.1(48-q) +.25q = 7.35

4.8 - .1q + .25q = 7.36

4.8 + .15q = 7.35

.15q = 2.55

q = 17

Finally, to solve for d with a number, we can plug q = 17 back into our first formula : 48 = d + q

48 = 17 + d

d = 31

I hope this helps!

-TheBusinessMan

Answer:

2 + 4(n-1).

Step-by-step explanation:

As x increases from 1,  f(x) increases  by 4.

Arithmetic sequence.

So the formula is  a1 + d(n - 1)

= 2 + 4(n-1).

The function which defines the series will be 2 + 4(n-1).

A series of numbers is called a number series. We must identify the laws that lead to the production of a number series in order to answer the questions about number series. The questions that might arise from these topics are as varied as these series themselves.

Given functions are f(1) = 2, f(2) = 6, f(3) = 10,f(4) = 14 f(5) = 18. The sequence will be represented by the function:-

As x increases from 1,  f(x) increases by 4. Arithmetic sequence.

F = a₁+ d(n - 1)

F = 2 + 4(n-1).

Therefore, the function which defines the series will be 2 + 4(n-1).

To know more about the number series follow

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Answer:

Step-by-step explanation:

Average speed is the change in distance of a body with respect to time. This is expressed as:

[tex]v = \delta y/\delta t\\v = \dfrac{y(t_2)-y(t_1)}{t_2-t_1}[/tex]

Given the function of the height in metres expressed as y = 56t − 1.86t² and time interval [1,2]

t₁ = 1sec and t₂ = 2 secs

y(t₂) = 56t₂ − 1.86t₂²

y(2) = 56(2) − 1.86(2)²

y(2) = 112-7.44

y(2) = 104.56

y(t₁ ) = 56t₁  − 1.86t₁ ²

y(1) = 56(1) − 1.86(1)²

y(1) = 56-1.86

y(1) = 54.14

Substituting the derived value into the formula for finding the average speed:

[tex]v = \dfrac{y(t_2)-y(t_1)}{t_2-t_1}\\\\v = \dfrac{104.56-54.14}{2-1}\\\\v = \dfrac{50.42}{1}\\\\v = 50.42m/s[/tex]

Hence, the average speed over the given time intervals. [1, 2] is 50.42m/s

Answer:

  see below

Step-by-step explanation:

If your equations are the ones shown in the second attachment, then their solution is the one shown in the first attachment.

_____

Apparently, your "interactive graph" needs two points to draw a line through. For these equations, the x- and y-intercepts are found easily enough.

  -3x +3y = 9

To find the x-intercept, set y=0 and divide by the coefficient of x: 9/-3 = -3

To find the y-intercept, set x=0 and divide by the coefficient of y: 9/3 = 3.

  2x -7y = -14

Same procedure: x-intercept = -14/2 = -7; y-intercept = -14/-7 = 2.

All of these intercepts are shown in the third attachment. Using them, you can use your tool to plot the lines and estimate their point of intersection.

Answer:

She had 22 friends at her graduation party.

Step-by-step explanation:

70 chocolates total minus 3 chocolates times the number of friends she had at the party = 4

70-3x=4

Subtract 70 from both sides of the equation

-3x=4-70

Simplify

-3x=-66

Divide both sides of the equation by -3

-3x/-3=-66/-3

Simplify

x=22

Answer:

d =(m-q)/a

Step-by-step explanation:

[tex]q+ad=m\\ad = m-q\\\frac{ad}{a} = \frac{m-q}{a} \\\\d = \frac{m-q}{a}[/tex]

Answer:

d =  ( m-q)/a

Step-by-step explanation:

q+ad=m

Subtract q from each side

q-q+ad=m-q

ad = m-q

Divide each side by a

ad/a = ( m-q)/a

d =  ( m-q)/a

Answer:

Step-by-step explanation:

[tex]y = 11x + 11b\\Move \: 11x\:to\:the \:left\:and\:change\:its\:sign\\\\y -11x =11b\\\\Divide\:both\:sides\:of\:the\:equation\:by\: 11\\\frac{y}{11} -\frac{11x}{11} = \frac{11b}{11} \\y/11 -x =b\\\\b = \frac{y}{11} - x[/tex]

Answer: b = y/11 - x

Step-by-step explanation: You have to isolate your variable by dividing each side of the equation by your factors that DO NOT contain any variable.

I hope this helps you out.

Answer:

Step-by-step explanation:

3 ∣ 861,1353

______________

41 ∣ 287,451

______________

7 ∣ 7,11

______________

11 ∣ 1,11

______________

      1,1

LCM = 3 × 41 × 7 × 11

= 9471.

Hope this helps

plz mark as brainliest!!!!!!

Answer:

861 = 3×7×41

1353 = 3×11×41

LCM = 3×7×11×41

= 9471

Step-by-step explanation:

Answer:

The correct option is D.

Hoped I helped

Answer:D

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

Given

9x - 3 - 8x = 7 - x , that is

x - 3 = 7 - x ( add x to both sides )

2x - 3 = 7 ( add 3 to both sides )

2x = 10 ( divide both sides by 2 )

x = 5

Answer:

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

So we have the equation:

[tex]3x-7=x+3[/tex]

Subtract x from both sides. The right cancels:

[tex](3x-7)-x=(x+3)-x\\2x-7=3[/tex]

Add 7 to both sides. The left cancels;

[tex](2x-7)+7=(3)+7\\2x=10[/tex]

Divide both sides by 2:

[tex](2x)/2=(10)/2\\x=5[/tex]

So, our answer is C

Answer:

C) x = 5

Step-by-step explanation:

A) 3(-5) - 7 = (-5) + 3

   -15 - 7 = (-5) + 3

   -23 = (-5) + 3

   -23 = -2 (they do not equal the same so no)

B) 3(2) - 7 = (2) + 3

    6 - 7 = (2) + 3

    -1 = (2) + 3

    -1 = 5 (they do not equal the same so no)

C) 3(5) - 7 = (5) + 3

    15 - 7 = (5) +  3

    8 =  (5) + 3

    8 = 8 (they equal the same so yes)

D) 3(-2) - 7 = (-2) + 3

    -6 - 7 = (-2) + 3

    -13 = (-2) + 3

    -13 = 1 (they do not equal the same so no)

Answer:

3/5

Step-by-step explanation:

The teacher has six novels more than the doctor.

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

We have been given that 4/5 of the teacher's books and 2/3 of the doctor's books are novels.

Since a teacher and a doctor each have 45 books.

As per the fractions of the book,

The number of teacher's books = 4/5(45) = 36

The number of doctor's  books = 2/3(45) = 30

Therefore the required difference would be 36- 30 = 6 books

Hence, the teacher has six novels more than the doctor.

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Answer:

.837537537 =  

837537537

1000000000

Step-by-step explanation:

Answer:

0

-

1000000000

i think it will help you

Answer:

-2380

Step-by-step explanation:

you first multiply 17 by 4

next multiply 68 by 35

you get 2380

finally add a negative sign in front of it

Answer:

Line n

Step-by-step explanation:

We see on the picture that XM=MY

So M is midpoint of the segment XY

Line n passes through midpoint M, so it is the segment bisector of XY

Correct choice is Line n

Answer:

3.5% because 1.035 * 100 = 3.5

Answer:

3.5

if you take 100 times 1.035 you get 103.5

Answer:

r = P / vt

Step-by-step explanation:

P = vrt

P / vt = r

r = P / vt

Answer:

[tex]\large \boxed{\mathrm{C }}[/tex]

Step-by-step explanation:

The ray CF does not contain the ray CB.

The number line, does not contain CB is CF. Therefore, option C is the correct answer.

A line segment is a path between two points that can be measured. Since line segments have a defined length, they can form the sides of any polygon.

In the given number, there are six divisions A, B, C, D, E, F.

Ray CB is in the line segment AD, AE, FA, BE, BF.

The number line, does not contain CB is CF. Therefore, option C is the correct answer.

Learn more about the line segment here:

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Answer:

x=2 y = 0

Step-by-step explanation:

good luck

Answer:

[tex]4^{10}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex] , thus

4² × [tex]4^{8}[/tex] = [tex]4^{(2+8)}[/tex] = [tex]4^{10}[/tex]

Step-by-step explanation:

[tex]m = - \frac{2}{3} \\ ( - 10 ,\: 8) = (x_1,y_1)[/tex]

[tex]y-y_1=m(x-x_1)[/tex]

Plug in the values into the equation

[tex]y - 8 = - \frac{2}{3} (x - ( - 10)) \\ y - 8 = - \frac{2}{3}( x + 10) \\ [/tex]

[tex]y - 8 = - \frac{2}{3} x - \frac{20}{ 3 } \\ y = - \frac{2}{3} x - \frac{20}{3} + 8 \\ [/tex]

[tex]y = - \frac{2}{3} x + \frac{4}{3} [/tex]

To solve for x-intercept , Arrange the values in

[tex]ax + by + c = 0[/tex]

=

[tex] - \frac{2}{3} x - y + \frac{4}{3} = 0[/tex]

To find x-intercept .let y = 0 in the above equation

[tex] - \frac{2}{3} x - y + \frac{4}{3} = 0 \\ - \frac{2}{3} x - 0 + \frac{4}{3} = 0 \\ [/tex]

[tex] - \frac{2}{3} x + \frac{4}{3} = 0 \\ - \frac{2}{3} x = - \frac{4}{3} [/tex]

Solve for x ;

[tex]x = 2[/tex]

To find y intercept , let x = 0

and solve for y .

I hope it helps <3

y = mx + b    

m = -²/₃ and line pases  through (-10, 8) so:

8 = -²/₃(-10) + b

8 = ²⁰/₃ + b

b = 8 - ²⁰/₃

b = 8 - 6²/₃

b = 1¹/₃

b = ⁴/₃

Slope Intercept Form:

x-intercept:

-²/₃x + ⁴/₃ = 0

-²/₃x =- ⁴/₃

x = - ⁴/₃ ÷(-²/₃)

x = 2                  

y-intercept:

y =  -²/₃•0+ ⁴/₃ =  ⁴/₃

Answer:

.2 miles per minute or .2x

Step-by-step explanation:

it move one tenth in half a minute so it moves 2 tenths in a minute.

Answer:

66666.67 miles/hr

Step-by-step explanation:

Given that:

Earth complete its orbit of the Sun which is 584 million miles

Time taken to complete the orbit = 365 days

To find:

Speed of earth in miles per hour = ?

Solution:

First of all, we need to convert the distance in miles and time in hours to get our answer.

Let us have a look at the conversion units:

1 day = 24 hours

So, 365 days = 24 [tex]\times[/tex] 365 hours = 8760 hours

Distance traveled = 584 million miles

1 million miles = 1000000 miles

584 million miles = 584000000 miles

Formula for speed is given as:

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

Let us put the values of Distance and time given in miles and hours to get the speed in miles/hr.

[tex]Speed = \dfrac{584000000}{8760}\\\Rightarrow \bold{Speed = 66666.67\ miles/hr}[/tex]

So, the answer is: 66666.67 miles/hr

Step-by-step explanation:

Hey, there!!

While simplifying the algebraic expression, you must be very careful about the signs.

Here,

(6x-4) (9x-2)

Multiply 2nd expression by 1st expression,

= 6x ( 9x - 2) -4 ( 9x - 2)

[tex] = (54 {x}^{2} - 12x) - (36x - 8)[/tex]

Opening brackets,

[tex] = 54 {x}^{2} - 12x - 36x + 8[/tex]

Simplifying them we get,

[tex] = 54 {x}^{2} - 48x + 8[/tex]

Therefore, the answer is 54x^2 - 48x +8.

Hope it helps..

Answer:

{ 1,2,3,4,5,6}

Step-by-step explanation: