Mr Wong cuts a coil of wire into two pieces in the ratio 5 : 1 the length of the coil wire is 180. How long is the shorter piece of wire?

Answer:

Step-by-step explanation:

First, move the -11/4 to the other side, so the expression can equal 0.

[tex]x^2+6x+11/4=0[/tex]

To make the equation easier to work with, multiply both sides by 4, cancelling out the fraction.

[tex]4x^2+24x+11=0[/tex]

There are many ways to solve a quadratic equation (factoring, quadratic formula, completing the square).

Solving this equation by factoring is the easiest. Factoring with a leading coefficient greater than one can be difficult and there are many ways to accomplish it. The way I'm going to do it is to first find the factors of [tex]4x^2[/tex] and then the factors of 11. And then multiply across, add the middle terms (derived from multiplying) and try to make it equal 24x.

[tex]4x^2[/tex]:      24x         11:

2x         22x          11

2x           2x            1

           24x (works)

I'll then take the factors diagonal. (2x+1)(2x+11)=0

So [tex]x=-\frac{1}{2}, -\frac{11}{2}[/tex]

Answer:

14

Step-by-step explanation:

I took the test.

Answer:

14

Step-by-step explanation: I took the test

Answer:

tanA=28/45

Tan(A) =Y/X or Opposite/ Hypotenuse

Answer:

y = 1.4x - 4.6

hope this helped :)

Answer:

40 bottles

Step-by-step explanation:

6liters=6000ml so I do 6000/150=40.Therfore 40 bottle of 150ml can fill a bottle wth 6 literes

AND SORRY FOR BAD GRAMMAR BUT I HOPE IT HELPS!!

The chance of on-time assignment submission if it is a chemistry assignment is insufficient data.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have,

The probabilities by subject of on-time assignment submission and on-time arrival to class.

Before we can estimate the likelihood of interest, we must first know how many assignments are assigned in each class.

In physics, there were 25.1% of the on-time assignments, assuming that each class had the same number of assignments.

Here, we have insufficient data to find the on time submission.

Learn more about Probability here:

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Answer:

Simone is 16 and Olivia 12 years old.

Step-by-step explanation:

"Simone is four years older than her sister Olivia."

(1) Simone age = Olivia age + 4

"Their combined ages is 28."

(2) Simone age + Olivia age = 28

→ We can substitute from the first equation (1) Simone age with Olivia age + 4 into the second equation (2)

        Simone age + Olivia age = 28

      Olivia age + 4 + Olivia age = 28, subtract 4 from both sides

   Olivia age -4 +4 + Olivia age = 28 - 4

                            2· Olivia age  = 24 , divide both sides by 2

                               Olivia age = 24/2

                               Olivia age = 12 years old

→ From the first equation (1) we have:

Simone Age = Olivia age + 4 = 12 + 4 = 16 years old

Check our answer:

"Their combined ages is 28 "

12 + 16 = 28 ✅

Answer:

Hundred thousands place.

Answer:

In this case the number 7 would be located in the hundreds of thousands.

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I hope help you :)

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Answer:

64 mm^2

Step-by-step explanation:

The area of the rectangles is calculated by multiplying width and length:

for the bigger rectangle:

12*48 = 576 mm^2

for the smaller rectangle:

4*16 = 64 mm^2

Answer:

3 Is the Radius

Step-by-step explanation:

Diameter is always 2R (R for radius), as they have given us the diameter of 6 we can conclude the answer by forming a simple equations

D=2R

6=2R

3=R

Step-by-step explanation:

A=2πr(r+h)

A=6.28×14mm(+29mm)

A=77.92(14mm+29mm)

A=77.92×43

A=3350.56 mm

Hope it helps

KC

The interest rate you are earning on a bond that has a face value of $1000, a price of $950 and a coupon of $50 is 5.42%

The interest rate is the rate of return on the bond given its face value, coupon payments and price.

Interest rate can be determined using a financial calculator:

Interest rate = 5.42%

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Answer:

1/12 inches

Step-by-step explanation:

1/2 = 6/12

then:

7/12 - 1/2

is equivalent to:

7/12 - 6/12 = (7-6)/12

= 1/12

Answer:

The change in expected height for every one additional centimeter of femur length.

Step-by-step explanation:

The slope represents how the value along the y axis is affected by the value along the x axis. So if x = femur length and y = expected height,

the slope is how the expected height is affected by the femur length.

x + 30 = 2x (since angleA = angle D, due to congruency between the two triangles.)

30 = 2x - x

30 = x

hope it helps...!!!

Answer:

Your answer is $19.06

Step-by-step explanation:

You have to multiply the money by the decimal. In this case 14.55 by 31% (0.31 basically), and then add that to the original price.

a. Reflectional symmetry only. The mirror line is vertical along the center of the sunglasses. The left half mirrors over this line to get the right half, and vice versa. There isn't any rotational symmetry because we can't rotate the glasses (some angle between 0 and 360 exclusive of both endpoints) to have the image be the same as the preimage.

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b. Rotational symmetry only. The puzzle can be rotated 90 degrees and the before and after image will be the exact same. There isn't any reflectional symmetry here.

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c. Reflectional symmetry and rotational symmetry. Effectively a combination of parts a) and b). We have a horizontal line of symmetry to go with a vertical one. The angle of rotation is 180 degrees.

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d. Reflectional symmetry and rotational symmetry. Similar to part c). This time the angle of rotation is 360/3 = 120 degrees. There are 3 lines of symmetry and they all pass through a vertex of the triangle, and the symmetry lines are perpendicular to the opposite side.

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e. Reflectional symmetry and rotational symmetry. We can rotate 180 degrees and not change the image. There are two lines of symmetry which pass through the center, one line is horizontal and the other vertical.

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f. Rotational symmetry only. We don't have reflectional symmetry due to the smaller petals not matching up when reflections happen. But we can rotate the figure 120 degrees the same way we can with figure d.

Answer:

The Correct Answer is C.0.

Hope it hepls you Czn!

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Answer:

5) 12 pieces for $36

6) 12 pieces for $36

They require the same amount of wood pieces.

Step-by-step explanation:

5)

Sandbox A: ? = 2

one side is 6, the other is 4 + ? = 6, so 6-4= ? and 6 - 4 = 2

now we add up the perimeter: 2 + 2 + 4 + 4 + 6 + 6 = 24ft total

we know that each wood piece = 2 ft so:

24 / 2 = 12 pieces of wood

each piece costs $3, so we multiply...

12 * 3 = $36 for all the wood.

____________

Sandbox B: ? = 4

one side is 6, the other is 2 + ? = 6, so 6 - 2= ? and 6 - 2 = 4

now we add up the perimeter: 2 + 2 + 4 + 4 + 6 + 6 = 24ft total

we know that each wood piece = 2 ft so:

24 / 2 = 12 pieces of wood

each piece costs $3, so we multiply...

12 * 3 = $36 for all the wood.

Answer:

[tex]x = -12[/tex]

Step-by-step explanation:

Step 1:  Add 1/4x to both sides

[tex]-\frac{1}{4}x - 12 = x + 3[/tex]

[tex]-12 - \frac{1}{4}x + \frac{1}{4}x = x + 3 + \frac{1}{4}x[/tex]

[tex]-12 = \frac{5}{4}x + 3[/tex]

Step 2:  Subtract 3 from both sides

[tex]-12 - 3 = \frac{5}{4}x + 3 - 3[/tex]

[tex]-15 = \frac{5}{4}x[/tex]

Step 3:  Multiply both sides by 4/5

[tex]-15*\frac{4}{5}=\frac{5}{4}x * \frac{4}{5}[/tex]

[tex]-12 = x[/tex]

Answer:  [tex]x = -12[/tex]

Answer:

1/10 or 10%

Step-by-step explanation:

Probability of choosing one correct response: (2 correct options, 5 choices)

2/5

Once we've chosen one correct response, there are 4 options left, one of which is correct:

1/4

2/5 * 1/4 = 2/20 = 1/10

Hope this helps <3

Answer:

It is equally likely for 1, 2, 3, or all to be correct so probability is 1/4

Step-by-step explanation:

Toltal ways in which 2 options can be correct is (42), which is 6. Out of these only 1 is correct. So probability of selecting correct answer is 1/6. Since he has 5 chances the probability of getting marks is 1−(56)5. hope this helps if not let me know have a nice day

Answer:

275.

Step-by-step explanation:

If you convert 2m into CM you get 200.
If you convert 275 cm into M you get 2.75. So 275cm is bigger.