you have 5814 meters of rope that you need to cut into 27 meters sections. How many 27 meter section of rope will you be able to create, and how much rope will be left over as waste?

Answer:

x + 6

Step-by-step explanation:

From the question given above, the following data were obtained:

Length of rectangle = 3x + 6

Width of rectangle = 4x – 1

Width of door =..?

A careful observation of the diagram shows that the door is located along the length of rectangular room.

In a rectangle, two sides are equal. Therefore,

x + door + x = 3x + 6

Making door subject of the above formula, we have:

x + door + x = 3x + 6

door + x + x = 3x + 6

door + 2x = 3x + 6

Subtract 2x from both side

door + 2x – 2x = 3x + 6 – 2x

door = 3x – 2x + 6

door = x + 6

Therefore, the width of the door is x + 6

Answer:

SO we have to solve this equation:

24p + 12 - 18p = 10 + 2p - 6

First, we will operate what we have in both sides:

24p - 18p + 12 = 10 - 6 + 2p

6p + 12 = 4 + 2p

We substract 2p in both sides and 12 too.

6p + 12 - 2p - 12 = 4 + 2p - 2p - 12

4p = -8

Now, we divide both sides by 4

4p/4 = -8/4

p = -2

The value of p is -2.

The correct option is (B)

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

24p +12 - 18p = 10 + 2p - 6

Now, solving for p

6p + 12= 2p + 4

6p - 2p = 4 -12

4p = -8

p= -8/4

p= -2

Hence, the value of p is -2.

Learn more about equation here:

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8 hours

110 miles ................. 5 hours

176 miles ..................x hours

x = 176×5/110 = 880/110 = 8 hours

Answer:

maya drives 110 miles in 5 hours. If she continued at the same rate, how long would it take to travel 176 miles?

We use the rule of three

110 miles -------------> 5 hours

176 miles ------------> ???

So (176 miles × 5 hours) /110 miles

We simplify by 《miles》 because it is in the numerator and the denominator

SO (176×5 hours )/110

= 880 hours / 110

= 8 hours

So she drives 176 miles in 8 hours.

Answer:

r = -46/3

Step-by-step explanation:

-3(r+2)=40

Distribute

-3r - 6 = 40

Add 6 to each side

-3r-6+6 = 40+6

-3r = 46

Divide by -3

r = 46/-3

r = -46/3

Answer:

the absolute value signs change the expression to:

3 ____ 2

so:

3 > 2

3 ≠ 2

Answer:

|-3| > |-2|

|-3| ≠  |-2|

Step-by-step explanation:

Answer:

a) 0.2 h

b) 5 cm

Step-by-step explanation:

The given equation is:

[tex] d = 5h [/tex]    (1)

Where:

d: is the depth in centimeters

h: is the time in hours  

a) The hours that takes for 1 cm of snow to accumulate in Harper's yard can be found by solving equation (1) for h and by entering d = 1 cm into the equation:      

[tex]h = \frac{d}{5} = \frac{1}{5} = 0.2 h[/tex]

Hence, it takes 0.2 hours for 1 centimeter of snow to accumulate in Harper's yard.  

b) The depth in centimeters of snow accumulate per hour is:  

[tex] d = 5h = 5*1 = 5 cm [/tex]

Therefore, 5 cm of snow accumulates per hour.  

I hope it helps you!

Answer:

9, 10

Step-by-step explanation:

If you enter the square root of 93 on a calculator, the answer is 9.64365076099. This is after 9 but before 10.

Answer:

No you wouldn't because you are not dividing or multiplying by a negative number.

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

When you solve the inequality, x is less than or equaled to -26.

Answer: -6/7

Step-by-step explanation:

3(5f+2)-f=2(-3)

  15f+6-f=-6 ⇔ distributive property

    14f+6=-6 ⇔ subtract f from 15f

        14f=-12 ⇔ subtraction property of equality (subtract 6 on both sides)

            f=-12/14 ⇔ division

            f=-6/7

Hope this helps!! :)

Please let me know if you have any question or need further explanation

Answer:

14f =-12

Step-by-step explanation:

3×5f+ 3×2-f = 2×-3

15f - f + 6 = -6

14f= -6

Answer:

30

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

150 = ?+120

Subtract 120 from each side

150-120 = ?

30 = ?

Answer:

[tex]\huge\boxed{<SUT = 30\ degrees}[/tex]

Step-by-step explanation:

According to exterior angle theorem:

The measure of the exterior angle is equal to the sum of non-adjacent interior angles.

So,

< VST = <STU + <SUT

150 = 120 + <SUT

<SUT = 150-120

<SUT = 30 degrees

Answer: This was confusing, but I think I get it.? Your answer is 800,000

Step-by-step explanation: 80,000 x 10 = 800,000

Answer: rational

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

It uses rational numbers to make an expression.

Answer:

scale factor = [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

Given

A(4, - 2 ) → A'(1, - [tex]\frac{1}{2}[/tex] )

To determine the scale factor compare the ratio of corresponding coordinates, image to original, that is

scale factor = [tex]\frac{1}{4}[/tex] = [tex]\frac{-\frac{1}{2} }{-2}[/tex] = [tex]\frac{1}{4}[/tex]

Answer:

P = 2 / 25

Step-by-step explanation:

If we assume that the combination of green and pink means, 1 green and 1 pink, then we can say the following:

P = 1 / 25 + 1 / 25

P = 2 / 25

This is because the squares where green and pink intersect only occurs twice.

Hence, the probability is P = 2 / 25.

Cheers.

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Let a,b,c,d be scalars.

In general if v and w are two vectors such that

v = <a, b>

w = <c,d>

then the difference of the two vectors is

v - w = <a-c, b-d>

so we subtract the coordinates

-----------------

Using that idea for the given vectors leads to

v = <9, -1>

w = <-1, -6>

v - w = <9 - (-1), -1-(-6)>

v - w = <9+1, -1+6>

v - w = < 10, 5 >

Answer:  2x^2      -16t

               25t         -20

Step-by-step explanation:

Multiply the corresponding terms to find out which answer belongs in each box. For the top left box you would multiply  5t x 4t = 20t^2. For the top right multiply -4 x 4t = -16t. For bottom left box multiply 5t x 5 = 25t and for the bottom right box multiple -4 x 5 = -20.

Answer:

The correct option is;

Up, rotate 90 degrees counterclockwise, down and right, rotate 90 derees clockwise, left

Step-by-step explanation:

The motion of the shape are

1) The shape is moved up from the initial position

2) The shape is then rotated 90 degrees in the reverse direction of the motion of the clock

3) The shape then moves two motion of coming down and moving right in one step

4) The shape is then rotated 90 degrees in the clockwise direction

5) In the final step, the shape is moved left.

Answer:

n = 20

Step-by-step explanation:

The number of diagonal that can be drawn in a polygon of n sides is given by :

[tex]D=\dfrac{n(n-3)}{2}[/tex]

If the number of diagonals are 230, then put D = 230 in above formula. So,

[tex]230=\dfrac{n(n-3)}{2}\\\\460=n^2-3n\\\\n^2-3n-460=0[/tex]

It is a quadratic equation, the value of n is equal to 20.

It means that for 230 diagonal, there are 20 sides of the polygon.

Answer:

13.28

Step-by-step explanation:

The digit in the hundredth place is 7. We see that the digit in the thousandth place, 5, makes the 7 round up to 8.

Answer:

13.28

Step-by-step explanation:

0 to 4 (round down )

5 to 9 (round up)

[tex]13.275 \\ \: 100[/tex]

Answer:

126 in³

Step-by-step explanation:

Given a cylindrical vase having a diameter (d) of 4 in, and an height (h) of 10 in, the amount of water it would contain can be calculated using:

Volume of cylinder = πr²h

Where,

r = radius = ½ of d = ½*4 = 2 in

h = height = 10 in

Take π as 3.14

Plug in the values into the formula

Volume = 3.14*2²*10 = 3.14*4*10 = 125.6 ≈ 126 in³

Answer:

[tex]\frac{\sqrt{3}}{11}>\frac{\pi }{24}>\frac{3}{25}>\frac{9}{100}[/tex]

Step-by-step explanation:

To get the order of the lengths in the order from greatest to least we will make the denominator of the given fractions common and then compare the numerators.

[tex]\frac{3}{25}, \frac{\sqrt{3}}{11}, \frac{9}{100},\frac{\pi }{24}[/tex]

LCM of the denominators,

2 |  25   11    100   24

2 |  25    11     50    12

5 |  25    11     25     6  

5 |    5     11     5      6  

      1      11      1       6

LCM = 2×2×5×5×6×11 = 6600

[tex]\frac{3}{25}=\frac{3}{25}\times \frac{264}{264}[/tex]

   [tex]=\frac{792}{6600}[/tex]

[tex]\frac{\sqrt{3}}{11}=\frac{\sqrt{3} }{11}\times \frac{600}{600}[/tex]

    [tex]=\frac{600\sqrt{3}}{6600}=\frac{1039}{6600}[/tex]

[tex]\frac{9}{100}=\frac{9}{100}\times \frac{66}{66}[/tex]

     [tex]=\frac{594}{6600}[/tex]

[tex]\frac{\pi }{24}=\frac{\pi }{24}\times \frac{275}{275}[/tex]

    [tex]=\frac{275\pi }{6600}[/tex]

    [tex]=\frac{864}{6600}[/tex]

Now we can arrange these fractions in the order of greatest to least.

[tex]\frac{1039}{6600}>\frac{864}{6600}>\frac{792}{6600}>\frac{594}{6600}[/tex]

[tex]\frac{\sqrt{3}}{11}>\frac{\pi }{24}>\frac{3}{25}>\frac{9}{100}[/tex]

Answer:

$74.68

Step-by-step explanation:

Convert the percent to a decimal.

4% = 0.04

Multiply his income by the percentage to find the tax.

$1,867 × 0.04 = $74.68

He can expect to pay $74.68.

Answer:

B) $74.68

Step-by-step explanation:

I took the test on Edge

Answer:

20 pounds

Step-by-step explanation:

If the model statue weighs 4 pounds and scale is 1:4, then 4x5=20.

Answer:

The sum is 1

Step-by-step explanation:

When you add a negative number to a positive number, it is basically just subtracting the negative from the positive. To make it simple, 5 + -4 is just 5 - 4.

Hannah was wrong in saying you take the sign of the larger number because it would not matter if the first number was a million, the signs don't change based on the size of numbers.

If you subtract 11.1 from 8.3 you get 2.8

2.8 is your answer :)

Since Peru spends 8.3 and Israel spends 11.1

Subtract that and that's how many more Israel spends on the internet

Answer:

I'm not sure but I believe it is "Three plus one-half times x."

Answer:

For the fraction it will be 3/10 and percent will be 30%

Step-by-step explanation: