which question represents a line that passes through (2,-1/2) and has a slope of 3?

Answer:

1/10

Step-by-step explanation:

1/6 / 1 2/3

Convert 1 2/3 to 5/3.

1/6 / 5/3

1/6 x 3/5

3/30 or 1/10

The result of the division of 1/6 by 1 2/3 can be found by first converting 1 2/3 to an improper fraction, then taking the reciprocal of this fraction and multiplying it by 1/6. This gives the result as 1/10.

To solve this fraction division problem, we first need to convert the mixed number 1 2/3 to an improper fraction. A mixed number like 1 2/3 means one plus 2/3, and it can be converted to an improper fraction by multiplying the whole number by the denominator and adding the numerator. For 1 2/3, this means: (1*3 + 2)/3 = 5/3.

Now, we have the problem 1/6 / 5/3. In fraction division, we can replace the division with multiplication by the reciprocal of the second fraction. The reciprocal of a fraction is created by switching the numerator and the denominator. So, the reciprocal of 5/3 is 3/5.

Our equation 1/6 / 5/3 then becomes 1/6 * 3/5 = 3/30 = 1/10 when simplified. Hence, the result of 1/6 divided by 1 2/3 in its simplest form is 1/10.

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Answer:

35

Step-by-step explanation:

given total number of students = 49

fraction of students that gave speeches = 5/7

number of students that gave speeches

= (5/7) x 49

= (5 x 49) / 7

= 245/7

= 35

Answer:35 students have their speeches

Step-by-step explanation:

1/7 of 49 is 7, so if it is 5/7 of the students multiply 5x7

Answer: 20.52

Step-by-step explanation:

Answer:20.52

Step-by-step explanation:

A line the decimals on top of each other then add the whole numbers and the numbers outside of the decimal

Answer:

25-a-b=c or also c=25-a-b

Step-by-step explanation:

We need to get "c" by itself.

The equation for the total amount of laps is a+b+c=25

To get c by itself, we subtract a and b from both sides

Thus, we get c=25-a-b

Hope this helped!

Answer:

19x/14 + 97/56

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

95%

Step-by-step explanation:

We have that:

The number of potato chips in a bad is normally distributed with a mean of 75 and a standard deviation of 5.

We want to use the empirical rule to solve this:

We know that:

65=75-2(5)

That means

[tex]65 = 75 - 2 \sigma[/tex]

Also, 85=75+2(5)

[tex]85 = 75 + 2 \sigma[/tex]

According to the the empirical rule approximately 95% of the distribution is within 2 standard deviation of the mean

Answer:

Given:

Area of the rectangle  = 30 square inches.

length of the sides are whole numbers.

Solution:

The base of the rectangle  is  x and the height is y

We know that Area of the rectangle  = [tex]length \times breadth[/tex]

That is

30 = [tex]x \times y[/tex]

The possible values of length and breadth

length x : 1    2      3      5    6    10   15    30

breath  y: 30   15    10   6     5    3      2      1

Now

30 =  xy

[tex]y = \frac{30}{x}[/tex]

when y increases x decreases and vice versa

Answer:

C (1/4)

Step-by-step explanation:

Answer:

C 1/4

Step-by-step explanation:

Simplified expression is 6y² - 24y - 51. Value for y=-2 is 21 and value for y=3 is  -69.

Step-by-step explanation:

⇒ 6y² - 21y - 3y + 12 - 63

⇒ 6y² - 24y - 51

⇒ 6y² - 24y - 51 = 6(-2)² - 24(-2) - 51 = 24 + 48 - 51 = 21

⇒ ⇒ 6y² - 24y - 51 = 6(3)² - 24(3) - 51 = 54 - 72 - 51 = -69

Step-by-step explanation:

Equation of the given line is :

[tex] 2x +12y= - 1\\

\therefore 12y = - 2x - 1\\

\therefore y = \frac {- 2}{12}x - \frac {1}{12}\\

\therefore y = - \frac {1}{6}x - \frac {1}{12}\\[/tex]

Equating above equation with [tex] y= m_1x + c

[/tex] we find:

[tex] m_1 = - \frac{1}{6}[/tex]

Where [tex] m_1[/tex] is the slope of given line:

Let the slope of required line be [tex] m_2.[/tex]

Since lines are perpendicular

[tex] \therefore m_1 \times m_2= - 1\\

\\\therefore - \frac{1}{6} \times m_2= - 1\therefore m_2= 6\\[/tex]

Equation of required line in slope point form is given as:

[tex] y-y_1 =m_2(x-x_1) \\

\therefore y-9 =6(x-0)\\

\therefore y-9 =6x\\

\huge\orange {\boxed {\therefore y =6x+9}} \\[/tex]

Answer: A. Y= -6x+9

Step-by-step explanation:

Answer:

ight man that answer is 43 your welocome smart aint i

Step-by-step explanation:

Answer:

answers: 8

Step-by-step explanation:

Using zero as a counterexample, it disproves the conjecture '-x is negative', because when x=0, -x (which becomes -0) equals 0, not negative.

A counterexample is an example that disproves a statement or proposition. In this case, we are given the conjecture '-x is negative'. If x is an integer, it can be positive, negative, or zero. To counter this statement, we can use zero as a counterexample. When x=0, -x (which becomes -0) is not negative but equals to 0. This proves that the original conjecture is not always correct, as it can have exceptions.

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Answer:x^2 +15x +36

Step-by-step explanation:

Answer:

[tex]x=-15[/tex]

Step-by-step explanation:

Complete question :      In a right triangle other two angles are [tex](0.3x+64)\textdegree\ and\ (0.1x+32)\textdegree[/tex] find the value of [tex]x[/tex].

In a right angle the third angle is [tex]90\textdegree[/tex]

we know that

Sum of angle in a triangle [tex]=180\textdegree[/tex]

[tex](0.3x+64)+(0.1x+32)+90=180\\\\0.3x+64+0.1x+32+90=180\\\\0.4x+96+90=180\\\\0.4x+186=180\\\\0.4x=-6\\\\[/tex]

Dividing [tex]0.4[/tex] both sides

[tex]\frac{0.4x}{0.4}=\frac{-6}{0.4}\\\\x=\frac{-60}{4}\\\\x=-15[/tex]

Answer:

Step-by-step explanation:

The the 3 consecutive numbers be

X, X + 1, X + 2

: X + X + 2 = 60

2X = 60 - 2

2X = 58

X = 58/2

X = 29

THE NUMBERS ARE 29, 30 AND 31

Answer:

  x = 17

Step-by-step explanation:

Vertical angles are congruent, so ...

  5x° = 85°

  x = 85°/5° . . . . . . divide by the coefficient of x

  x = 17

Answer:

B: The domain represents a 11-month period of flower production.

Step-by-step explanation:

The domain of a Function

It's the set of all the values a function can take in its independent variable. The independent variable (usually x) is represented as the horizontal axis of a graph, where we can know the interval of values considered for values of the function.

In the provided graph, we can see the horizontal axis is labeled 'Months' and its values range from 1 to 11. The vertical axis is labeled "Number of flowers produced" which will be the Range of the function.

From the options presented, we can discard the C and D because they are related to the number of flowers produced, which is not the domain of the function. The option A talks about the months of production but the months range up to 180. Option B is the correct choice.

B: The domain represents a 11-month period of flower production.

Answer:10, hope it helps!! :)

Step-by-step explanation:

22 + 62 ÷ 22=

4 + 36 ÷ 4=10

Answer:

w=9 feet

l=11 feet

Step-by-step explanation:

Let the length of the rectangle be l and width be w

Condition 1:

l=2+w --------(I)

Condition 2:

2l+2w=40--------(2)

Putting eq (1) in (2)

2(2+w)+2w=40

4+2w+2w=40

4+4w=40

4w=40-4

4w=36

Dividing both sides by 4

w=9

Now

Putting w=9 in eq (1)

l=2+9

l=11

The area of Nevada, based on map measurements converted to actual miles using the map's scale, is calculated to be approximately 156,800 square miles.

The question relates to finding the area of the state of Nevada using its scaled measurements from a map. Given that the scale on the map is 1/2" to 20 miles, and the physical distances measured on the map are 8" wide and 12.25" long, we need to convert these measurements into actual miles before calculating the area. To do this conversion, we set up a proportion based on the scale given:

By cross-multiplying, we find that x, the actual length in miles, is approximately 490 miles. Having converted both the width (8" which is equivalent to 320 miles) and the length, we can now calculate the area of the trapezoid that represents Nevada. Assuming the shape is close to rectangular for simplicity, the area would be width × length, or:

Area = 320 miles × 490 miles = 156,800 square miles.

Answer:

A, C, and E are correct

Step-by-step explanation:

B can't be right because 2 is an exponent, not a coefficient

D can't be right because 6 doesn't go into 7

Hope this helped!

There are 120 combination in 12345.

A combination is a technique to determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

Given that;

To find number of combination in 12345.

Since, There 5 digits in the given number.

Hence, Possible combinations are,

⇒ 5!

⇒ 5 × 4 × 3 × 2 × 1

⇒ 120

Thus, There are 120 possible combination in 12345.

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Complete question is,

How many combinations with 12345 without repeating the numbers?

Answer:

Cross multiply

Step-by-step explanation:

[tex]\frac{2x+1}{3}\geq 5\\\\ 2x+1\geq 15\\2x\geq 15-1\\2x\geq 14\\\frac{2x}{2}\geq \frac{14}{2}\\ x\geq \frac{(2)(7)}{2}\\ x\geq 7[/tex]

Answer:

1/3 (39.09)=17 thats all thanks

Answer:

Step-by-step explanation: 2× (9×4-35) +27

Using BODMAS

= 2× (36-35)+27

=2×(1) + 27

=2 + 27

=29

The distance along the path of the ship be within the range of the torpedoes is 4 kilometers.

Explanation:

The submarine lies 3 km from the target ship.

Let B denotes the target ship and C denotes the submarine.

Let AC denotes the the target ship would be within the range of the torpedoes.

The image attached below illustrates that the distance between submarine and the target ship and the range of the torpedoes.

Let BC denotes the distance between the target ship and the submarine. Let AC denotes the range of the torpedoes.

To determine the length of AB, let us use Pythagorean theorem,

[tex]AC^{2} =AB^{2} +BC^{2}[/tex]

Substituting the values of BC = 3 and AC = 5, we have,

[tex]5^{2} =AB^{2} +3^{2}[/tex]

Squaring the terms, we get,

[tex]25 =AB^{2} +9[/tex]

Subtracting both sides by 9, we have,

[tex]16 =AB^{2}[/tex]

Taking square root on both sides,

[tex]AB = 4[/tex]

Thus, the distance along the path of the ship be within the range of the torpedoes is 4 kilometers.

The value of x = 7

What are linear equalities in one variable?

The linear equation in one variable is an equation that is expressed within the form of ax+b = zero, where a and b are integers, and x is a variable and has only one answer.

Conclusion: For example, 2x+3=8 is a linear equation having a single variable in it. therefore, this equation has only one solution, which is x = 5/2.

3 (x+6)= 39

3x + 18 = 39

3x = 39 - 18

3x = 21

x = 21/3

x = 7

The above question is an example of linear equalities in one variable.

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Answer:

24+24x I believe is the answer. Good luck on your test :)

Answer:

D

Step-by-step explanation:

2x2(4x3 - 3x2 + 6x)

= 2x²(4x³ - 3x² + 6x)

= 8x^5 - 6x⁴+ 12x³