a carpenter has a board that is 5/6 yards wide. he cuts the board into 3 pieces, if all the pieces are the same with

Answer: The area is 12 inches

Step-by-step explanation:

If the bigger one is 24 inches, and the bigger one is two times the size of the smaller one, the smaller one is 12 iches

Answer:

Step-by-step explanation:

9x-1 + 5x-15 =180, 14x-16=180, x = 14

9x-1 + y-20 = 180, 126-1-20+y =180, y = 105

Answer:

1133232323232332323332

Step-by-step explanation:

Answer: 1133232323232332323332

Step-by-step explanation:

Answer:

? =64.62306

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adjacent side / hypotenuse

cos ? = 3/7

Taking the inverse cos of each side

cos ^-1 ( cos ? ) = cos ^-1 (3/7)

? =64.62306

Answer:

The angle is approximately 23°

Step-by-step explanation:

let the angle be ∆

using trigonometrical identity,

tan ∆=3/7

tan∆=0.4286

∆=tan^-1(0.4286)

∆=23.19°

Answer:

x = 8

x = 21/14

x = 8

x = 15/21

x = 1/4

x = 7

Step-by-step explanation:

(For all instances of number, let it be x)

Double the sum of a number and 15. The result is the same as the product of 23 and the number.

2x + 15 = 23 + x

2x - x + 15 = 23 + x - x

x + 15 = 23

x + 15 - 15 = 23 - 15

x = 8

Multiply a number by 15 and add 2. The result is the same as the sum of 23 and the number.

15x + 2 = 23 + x

14x + 2 = 23

14x = 21

x = 21/14

Double a number and add 15. The result is the same as the sum of 23 and the number.

2x + 15 = 23 + x

x + 15 = 23

x = 8

Double a number and add 15. The result is the same as the product of 23 and the number. (This time we will move the x to the other side as the right side has a larger x than the left side)

2x + 15 = 23x

15 = 21x

x = 15/21

Multiply a number by 15 and add 2. The result is the same as the product of 23 and the number.

15x + 2 = 23x

2 = 8x

2/8 = x

x = 1/4

Double the sum of a number and 15. The result is the same as the sum of 23 and the number.

2(x + 15) = 23 + x

2x + 30 = 23 + x

x + 30 = 23

x = 7

Answer:

He can pay for 5 friends plus himself while staying within the budget.

Step-by-step explanation:

No parents are allowed in.

45 + 5.5p = 80    80-45=35   5.5p = 35   35/5.5 = 6.4

So he can pay for himself plus 5 people, and probably a drink.

Hope this helps!

Answer:

it is 2.35

Step-by-step explanation:

Answer:

t = d/r

Step-by-step explanation:

Given the equation, d = rt for t:

Switch sides:

rt = d

Divide both sides by r to isolate t:  

[tex]\frac{rt}{r} = \frac{d}{r}[/tex]

t = d/r

Answer:

(x²+1)(x²-1)⁶ = x¹⁴-5x¹²+9x¹⁰-5x⁸-5x⁶+9x⁴-5x²+1

Step-by-step explanation:

Pascal triangle 6th row for (a + (-b))⁶;  ... for (x²-1)⁶

a⁶+6a⁵(b)¹+15a⁴(b)²+20a³(b)³+15a²(b)⁴+6a(b)⁵+1*(b)⁶   .. a=x²   b = -1

= x¹²+6x¹⁰(-1)¹+15x⁸(-1)²+20x⁶(-1)³+15x⁴(-1)⁴+6x²(-1)⁵+1*(-1)⁶

= x¹²-6x¹⁰+15x⁸-20x⁶+15x⁴-6x²+1

(x²+1)(x²-1)⁶ = (x²+1)(x¹²-6x¹⁰+15x⁸-20x⁶+15x⁴-6x²+1)

                  = x¹⁴-5x¹²+9x¹⁰-5x⁸-5x⁶+9x⁴-5x²+1

Answer:

x=15

Step-by-step explanation:

Rate as BRAINLIEST

JM = 4x-29

4x-29 = 6+13 +2x-18

4x -29 = 19 +2x -18

4x -29 = 1 +2x

2x -29 = 1

2x = 30

x = 15

Answer:

4m8n8p6

Step-by-step explanation:

Answer:

5^7 or 78125

Step-by-step explanation:

Answer:

([ 1 ], [ 2 ], [ 3 ])

Step-by-step explanation:

y – 3z = -7; z = 3 => y = 2

x + 4y +z = 12 => x + 4(2) + 3 = 12 => x = 1

([ 1 ], [ 2 ], [ 3 ])

Answer:

Where is your attachment or question

Answer:The F-5 is an agile, highly maneuverable, reliable supersonic fighter, combining advanced aerodynamic design, engine performance and low operating costs. ... The U.S. Navy operates the F-5 in its adversary squadrons to simulate enemy aircraft in aerial combat training exercises.

Answer:

T-.5 = x (200)

Step-by-step explanation:

Let T = total time in hours

30 mn = .5 hours  30 /60 = .5

$ 2.00 is the rate per hour.

so  T − .5 =  the time that will be charged at the rate

Therefore the  total charge is then

T − .5 × 2.00

Answer:

12(2A+B)=12*3

Step-by-step explanation:

Answer:

[tex]12[/tex]

Step-by-step explanation:

We know that [tex]24=12*2[/tex], [tex]12=12*1[/tex], and [tex]36=12*3[/tex].

So, we can re-write the equation as [tex]12*2*A+12*1*B=12*3[/tex].

We can factor out a [tex]12[/tex] from both sides to get [tex]12(2A+B)=12(3)[/tex].

The insides can't be simplified anymore, so the final equation is [tex]12(2A+b)=12(3)[/tex] and the gcf is [tex]\boxed{12}[/tex]

Using a linear function, we have that:

a) The values are: a = 11 and b = 5.

b) The rule is:

[tex]y = 3x + 2[/tex]

c) The value of the output is 62.

d) The value of the input is 25.

The equation of a linear function is given by:

[tex]y = mx + b[/tex]

In which

First, we are going to solve item b to find the rule, then we solve other items.

Item b:

In the table, we have two points: (1,5) and (2,8).

The slope is given by change in y divided by change in x, thus:

[tex]m = \frac{8 - 5}{2 - 1} = 3[/tex]

Then

[tex]y = 3x + b[/tex]

Point (1,5) means that when [tex]x = 1, y = 5[/tex], and this is used to find b.

[tex]5 = 3(1) + b[/tex]

[tex]b = 2[/tex]

Thus, the rule is:

[tex]y = 3x + 2[/tex]

Item a:

a is the value of y when x = 3, thus:

[tex]y = a = 3(3) + 2 = 11[/tex]

Thus, a = 11.

b is the value of x when y = 17, thus:

[tex]3b + 2 = 17[/tex]

[tex]3b = 15[/tex]

[tex]b = 5[/tex]

The values are: a = 11 and b = 5.

Item c:

The value of the output is y when x = 20, thus:

[tex]y = 3(20) + 2 = 60 + 2 = 62[/tex]

Thus, the value of the output is 62.

Item d:

The value of the input is x when y = 77, thus:

[tex]3x + 2 = 77[/tex]

[tex]3x = 75[/tex]

[tex]x = \frac{75}{3}[/tex]

[tex]x = 25[/tex]

The value of the input is 25.

A similar problem is given at https://brainly.com/question/25004958

Answer:

6.71

Step-by-step explanation:

Using the distance formula:

[tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

= √(-1-5)^2 + (8-5)^2

= √36 + 9

= √45

= 3√5 <- Optional

= 6.70820393

≈ 6.71

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Answer:

[tex]3\sqrt{5}[/tex]

Decimal form: 6.70820393 …

Step-by-step explanation:

The length of this line can be found by using the distance formula:

[tex]{\sqrt (}(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2})[/tex]

Step 1: Plot the coordinates of both points.

Step 2:  Evaluate the x-axis and y-axis distance between the points.

Step 3:  Square both results.

Step 4: Add the squared results.

Step 5: The answer lies in the square root of the equation.

Answer:

x=5

Step-by-step explanation:

In this equation, we need to find x. According to the Vertical Angles Congruence Theorem, all vertical angles are congruent. Therefore, because angles (2x+12) and (8x-18) are vertical angles, they are congruent. We can set this up as an equation and simply solve for x:

2x+12=8x-18   Subtract 2x from both sides.

-2x      -2x

12=6x-18         Add 18 to both sides.

+18    +18

30=6x             Divide both sides by 6.

/6   /6

5=x

I hope this helps!! Have an amazing day :)

Answer:

x = 5

Step-by-step explanation:

The two angles have the same degree because of the Vertical Angles rule. This means that if angles are vertical, then they are congruent. Therefore, we can solve for x by setting the two angles equal to each other.

2x + 12 = 8x - 18

    + 18         + 18

2x + 30 = 8x

-2x          -2x

30 = 6x

÷6    ÷6

5 = x

We can then double check this by inputing x back into the equations

2x + 12 = 2(5) + 12 = 10 + 12= 22

8x - 18 = 8(5) - 18 = 40 - 18 = 22

These check out so x = 5

I hope this helped :)

Answer:

First you have to understand a one cupcake has 1/6 pound of dough.

Then to calculate the number of cupcakes, divide the total 36 pounds of dough by a 1/6 pound.

36/(1/6)

= 36 ×(6/1)

= 216 cupcakes

Answer: 216 cupcakes can be made

Step-by-step explanation:

Given information

36 pounds of dough in total

⅙ pound of dough per cupcake

Set variables

Let x be the number of cupcakes that could be made

Set equations from given information

Total = unit × number

36 = (1/6) × x

Multiply 6 on both sides to isolate [x] variable

36 × 6 = (1/6) × x × 6

216 = 1 × x

[tex]\boxed{x=216}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

y = 70°

Step-by-step explanation:

4x - 50 and 2x + 30 are equal, because they are corresponding angles

4x - 50 = 2x + 30

4x = 2x + 80

2x = 80

x = 40°

The angle below 2x + 30 = y, because they are vertical angles

Since we know what x is, we can substitute x from 2x + 30

And since two angles that take up a line are 180°, we can add them

2(40) + 30 + y = 180

80 + 30 + y = 180

110 + y = 180

y = 180 - 110

y = 70

-Chetan K

Answer:

60000

Step-by-step explanation:

56763 so you're going to take that number and you're going to run it to the nearest thousands by doing that you're going to take the six and six is either closest to zero or 10 and it is closer to 10 which would be your answer so you're going to add these zero replacing the six seven six and three in the equation and making me five of six by adding the one from the number 10 if you have any other questions text me if that doesn't make sense

Answer:

1 /5

Step-by-step explanation:

x=−11/2=−5/2 1 =−5.5

Answer:

D = 0, x = -3

Step-by-step explanation:

D = b*b - 4ac = 36 - 4*9 = 36 - 36 = 0

x = -b/2a since D = 0, so

x = -6/2 = -3

Answer:

The picture is to small.

Step-by-step explanation:

To small.