what is the quotient of 4 ÷ 1/4?

Answer:

75 students

Step-by-step explanation:

So firstly lets make convert these words to alegbra :

30 people are 40%of the total students at the event meaning that the following equation can be made :

30 = 40% of x    (x is the unknown amount of students there)

30 = 40% * x

30 = 0.4x (we can convert the precentage into a decimal by dividing by 100)

Now that we have the equation that 30 = 0.4x we can evalute it and find x :

30=0.4x

30/0.4=0.4x/0.4 (divide by 0.4 on both sides)

75=x

So thats how we get that 75 students were in the event in total.

Answer:

A I think

Step-by-step explanation:

Answer:

Hundred thousands place.

Answer:

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

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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:

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

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.

The expression [tex](\frac{x^a}{x^b})^{a + b} \cdot (x^{b + c})^{b - c} \cdot (x^{c + a})^{c - a}[/tex] is an algebraic expression, and the result of simplifying the expression [tex](\frac{x^a}{x^b})^{a + b} \cdot (x^{b + c})^{b - c} \cdot (x^{c + a})^{c - a}[/tex] is 1

The expression is given as:

[tex](\frac{x^a}{x^b})^{a + b} \cdot (x^{b + c})^{b - c} \cdot (x^{c + a})^{c - a}[/tex]

Apply the power rule of indices

[tex](x^{a-b})^{a + b} \cdot (x^{b + c})^{b - c} \cdot (x^{c + a})^{c - a}[/tex]

Expand the exponents of the expression

[tex]x^{a^2-b^2} \cdot x^{b^2 - c^2} \cdot x^{c^2 - a^2[/tex]

Apply the product rule of indices

[tex]x^{a^2-b^2+b^2 - c^2+c^2 - a^2[/tex]

Collect like terms

[tex]x^{a^2- a^2-b^2+b^2 - c^2+c^2[/tex]

Evaluate the differences

[tex]x^{0-0 - 0[/tex]

This gives

[tex]x^{0[/tex]

Evaluate the exponent

1

Hence, the result of simplifying the expression [tex](\frac{x^a}{x^b})^{a + b} \cdot (x^{b + c})^{b - c} \cdot (x^{c + a})^{c - a}[/tex] is 1

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Answer:

9

Step-by-step explanation:

100% = 12

12/4= 3
25%=3

3+3+3=25%+25%=25%= 75%

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:

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: 2

Step-by-step explanation: It would have been 1.99949 but rounded to the nearest hundreth is 2 :)

A vector is a quantity in physics that has both magnitude and direction. The component form of Vector CD minus vector EF is <5, 8, -4>.

A vector is a quantity in physics that has both magnitude and direction. It is often represented by an arrow whose length is proportionate to the magnitude of the quantity and whose direction is the same as that of the quantity.

The value of the Vector CD can be written as,

[tex]|\vec{CD}| = (0+7)\hat i+(7-2)\hat j+(3-8)\hat k = 7\hat i+5\hat j-5\hat k[/tex]

The value of the Vector EF can be written as,

[tex]|\vec{EF}| = (6-4)\hat i+(-2-(-1))\hat j+(-3-(-2))\hat k = 2\hat i-3\hat j-5\hat k[/tex]

Now,  the component form of Vector CD minus vector EF can be written as,

[tex]\vec{CD} - \vec{EF} = < (7-2) , (5-(-3)) , (-5-(-1)) > = < 5,8,-4 >[/tex]

Hence, the component form of Vector CD minus vector EF is <5, 8, -4>.

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Answer:

the height of the cylinder

Step-by-step explanation:

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.

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:

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:

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.

Answer:

a=1/2b, 2a=b

Step-by-step explanation:

Since angle a is 1/2 the size of angle b, a=1/2b and b=2a. In order to get a numeral answer, you need the number of one of the angles.

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

30 = 2x - x

30 = x

hope it helps...!!!

Answer:

The Correct Answer is C.0.

Hope it hepls you Czn!

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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

Answer:

14

Step-by-step explanation:

I took the test.

Answer:

14

Step-by-step explanation: I took the test

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