which expresion is equivilenet to 3/24

Answer:

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

Goodluck

Answer:

[tex]\sqrt 3[/tex]

Step-by-step explanation:

[tex]\tan 60^{\circ} = \dfrac{\sin 60^{\circ}}{\cos 60^{\circ}} = \dfrac{\tfrac{\sqrt 3}2}{\tfrac 12} = \dfrac{\sqrt 3}2 \cdot 2 = \sqrt 3[/tex]

[tex]\sf Simplified[/tex] ⇒ -2h

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Answer:

yes, it form a proportion...

Answer:

D. 5(x + 3)(x - 3)

Step-by-step explanation:

a² - b² = (a + b) (a - b)

5(x + 3)(x - 3)

5(x² - 9)

(5x² - 45)

5x² - 45

Option D is correct, the factored form of the expression  5x² - 45 is 5(x+3)(x - 3)

An expression is combination of variables, numbers and operators.

The given expression is 5x² - 45

Five times of x square minus forty five

x is the variable and minus is the operator

Let us take 5 common from the expression to find the factor form

5(x² - 9)

5(x² - 3²)

Now we know that a² - b²  = (a+b)(a-b)

5(x+3)(x-3)

Hence, the factored form of the expression  5x² - 45 is 5(x+3)(x - 3)

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Answer:

115.86

Step-by-step explanation:

Answer: 6 red and 7 blue

Step-by-step explanation:

Cut in half the amount of each balloon

Answer:

Step-by-step explanation:

Let

Eqautions as per question

Combined, there are 182 ​Asians, Africans,​ Europeans, and Americans in a village.

The number of Asians exceeds the number of Africans and Europeans by 59.

The difference between the number of Europeans and Americans is 14.

If the number of Africans is​doubled, their population exceeds the number of Europeans and Americans by 16

Substitute a, b and c into the first equation and solve for d

Find the other variables

We found that

Step-by-step explanation:

[tex]y = 6 \tan( \frac{x}{2} ) - 3[/tex]

Set y=0

[tex]0 = 6 \tan( \frac{x}{2} ) - 3[/tex]

[tex]3 = 6 \tan( \frac{x}{2} ) [/tex]

[tex] \frac{1}{2} = \tan( \frac{x}{2} ) [/tex]

[tex] \tan {}^{ - 1} ( \frac{1}{2} ) + \pi = \frac{x}{2} [/tex]

Multiply both sides by 2

[tex]2 \tan {}^{ - 1} ( \frac{1}{2} ) + 2\pi = x[/tex]

So the x intercepts of the function is

[tex]2 \tan {}^{ - 1} ( \frac{1}{2} ) + 2\pi[/tex]n

Answer:

b) 25x² - 1

Step-by-step explanation:

→ (5x + 1)(5x - 1)

→ 25x² + 5x - 5x - 1

→ 25x² - 1

Thus, option (b) is the answer.

Answer:

11x^2+4x-6

Step-by-step explanation:

Can't tell if its asking for the values of x, but thats the final expression^

Answer:

11[tex]x^{2}[/tex]+4x-6

Step-by-step explanation:

Answer:

215,00.

Step-by-step explanation:

Average price = 22500

18000*2 + 28000 + 27000 + x = 22500*5

91000 + x = 112500

X = 21500

Answer:

R215,00

Step-by-step explanation:

Let x = amount the 5th music shop charges for the strings

[tex]\sf mean=\dfrac{\textsf{sum of all the numbers}}{\textsf{amount of numbers}}[/tex]

[tex]\implies \sf 225=\dfrac{180+180+280+270+x}{5}[/tex]

[tex]\implies \sf 225\cdot 5=910+x[/tex]

[tex]\implies \sf 1125=910+x[/tex]

[tex]\implies \sf x=1125-910[/tex]

[tex]\implies \sf x=215[/tex]

Therefore, the fifth music shop charged R215,00 for the strings.

Explanation:

The fraction 5/2 turns into 10/4 when you multiply top and bottom by 2

5*2 = 10

2*2 = 4

Or you could use long division or a calculator to notice that

5/2 = 2.5

10/4 = 2.5

Both result in the same exact decimal value, so the fractions must be equal. Each person runs exactly 2.5 miles everyday.

Answer:4/10 =2/5

Step-by-step explanation:

you subtract the numerator but the denominator stays the same. I then found a number that could be divided into both numbers and got 2/5.

Answer:

the answer of given question is 1/5

Answer:

47/4 but you can simplify it to 11 3/4

Step-by-step explanation:

11 is the whole number and 75 is 3/4ths of 1 or another whole number.

Answer:

Step-by-step explanation:

Here's an example:

x^2 + 6x + 9 = 0

First factorise it:

(x + 3)(x + 3) = 0

So the solution is  x = -3 (multiplicity 2)

That is there are 2 roots both -3.

Its 0.92

Sure hope this helsp you :D

Answer:

7 goldfish

Step-by-step explanation:

10-3=7

Answer:

10-3=8

i think

Answer:

Step-by-step explanation:

The explanation of the problem is  shown in the attached figure.

AS shown in the  graph:

At t = 0 the speed = 4 miles/h then decrease to the speed = 2 miles/h during the first 3 seconds then increased to 5 miles/h during the next 2 seconds, then it became constant at 5 miles/h for the last 5 seconds.

So, the correct option is:

A. The speed of the car decreases from 4 mi/h to 2 mi/h in the first 3 seconds, increases to 5 mi/h in the next 2 seconds, and then remains at 5 mi/h for the last 5 seconds.

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Explanation:

Count the number of leaves marked in green.

There are 2+3+5+3 = 13 leaves total. This represents tickets were sold on 13 days.

Each stem and leaf combines to form a different ticket count. For instance, the stem of 1 and leaf of 8 combine to get the value 18. So 18 tickets were sold on that particular day.

A function assigns the values. The function is f(x) = (8x - 8)/(x² + 2x).

A function assigns the value of each element of one set to the other specific element of another set.

A rational function has a denominator and a numerator.

Vertical asymptotes are x-values that the function approaches but never touches. By setting the denominator to zero, we may discover the vertical asymptotes.

Since the vertical asymptote is x=-2 and x=0,  our denominator of the function will be

x(x+2) = x²+2x

Horizontal asymptotes are y values that the function approaches but never touches. Because the horizontal asymptote is y=0, the numerator's degree must be less than the denominator's degree. And because the x-intercept is equal to one, our numerator will be

x - 1

At the moment, The function can be assumed to be,

f(x) = (x - 1)/(x²+2x)

Next, we need to use the condition f(2)=1.   If we plug in x=2, f(x) should equal 1. But we need to multiply the right side of the function by some constant C.

The condition f(2)=1 must then be applied. If we substitute x=2, f(x) should equal 1. However, we must multiply the right side of the function by a constant C.

1 = C(2 - 1)/(2²+2(2))

Solve for C.

1 = C / 8

8 = C

So the function will be

f(x) = [8(x - 1)] / [(x² + 2x)]

f(x) = (8x - 8) / (x² + 2x)

Hence, the function is f(x) = (8x - 8)/(x² + 2x).

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Answer:

x = 40

Step-by-step explanation:

Preform the opposite opposite operation to get x by itself.

  -80 = -120 + x

+ 120   +120

    40  =  x

Answer:

answer

Step-by-step explanation:

Answer is, 40

Answer:

Question 1

Cost per 10,000 Popsicle sticks = $725.20

⇒ Single Popsicle stick = 725.20 ÷ 10000 = $0.07 (nearest cent)

Question 2

Cost per 1,000 motherboards = $8,730

⇒ Cost of Single motherboard = 8730 ÷ 1000 = $8.73

Cost per 10 motherboards = $100

⇒ Cost of Single motherboard = 100 ÷ 10 = $10

Difference = 10 - 8.73 = $1.27

Question 3

Create a table with the cost per 1 unit:

[tex]\begin{array}{| c | c | c | c |}\cline{1-4} \sf PART & \sf COST\:PER\:1\:of\:10 & \sf COST\:PER\:1\:of\:1000 & \sf COST\:PER\:1\:of\:10000\\\cline{1-4} \sf Motherboard & \$10.00 & \$8.73 & \$7.04 \\\cline{1-4} \sf Processor & \$5.00 & \$1.25 & \$0.63 \\\cline{1-4} \sf Popsicle & \$0.10 & \$0.09 & \$0.07 \\\cline{1-4} \sf Motor & \$4.50 & \$0.18 & \$0.04 \\\cline{1-4} \sf Sensor & \$6.30 & \$4.54 & \$3.18 \\\cline{1-4} \sf Small\:gear & \$1.00 & \$0.80 & \$0.70 \\\cline{1-4} \end{array}[/tex]

From inspection of the table, the Motor saves the most money per unit when 10,000 is bought, since the difference between the cost of 1 unit is the greatest for this part.

Question 4

Cost of 1100 motherboards

= cost of 1000 +  cost of 10 x 10

= 8730 + 100 x 10

= 8730 + 1000

= $9,730

Question 5

Cost of 12050 sensors

= cost of 10000 + cost of 1000 x 2 + cost of 10 x 5

= 31752 + 4536 x 2 + 63 x 5

= 31752 + 9072 + 315

= $41,139

Answer:

27 and 28

Step-by-step explanation:

x+x+1=55

2x+1=55

2x=55-1

2x=54

divide each side by 2

x=27

x+1=28

check your answer adding the two integers

27+28=55

Answer: 23

Step-by-step explanation:

By the alternate exterior angles theorem, [tex]4x-11=x+58 \longrightarrow x=\boxed{23}[/tex]

Answer:

the value of x must be -2 . ie option b

Answer:

x-1=-x²+2x+5

-x²+(2x-x)+(5+1)=0

-x²+x+6=0

(x-3)(x+2)

x=3 or x=-2

Answer:

123-456-789

Step-by-step explanation:

es la suprimeral

Answer:

d

Step-by-step explanation:

(8x)^2 = (2x)^2 + y^2

64x^2 - 4x^2 = y^2

60x^2 = y^2

y = 2x√15