Solve the inequality: 6x - 5 = 4x - 9

Answer:

x=5

Step-by-step explanation:

If you graph the equation you can see that the axis of symmetry is x=5

The probability that each guest got one roll of each type is 3/1, which is a fraction with a numerator of 3 and a denominator of 1. Since the numerator and denominator are relatively prime integers, the value of m + n is 3

The equation for the probability that each guest got one roll of each type is m/n, where m and n are relatively prime integers.

We can expand this equation to

m/n

= 3/1.

Since the numerator and denominator are relatively prime integers, we can solve for m + n by multiplying both sides of the equation by 1.

Multiplying both sides of the equation by 1 gives us

m + n = 3.

Therefore, the value of

m + n is 3.

Let m = numerator and n = denominator in the probability of m/n.

Given that each guest got one roll of each type, the probability is m/n.

The numerator and denominator are relatively prime integers, so m and n have no common factors.

Therefore,

m + n = 3.

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Answer: a; b

Step-by-step explanation: Both answers are possibilities because 0a = 0 and 0b = 0. Hope this helps!

Answer:

2,958

Step-by-step explanation:

2,000+900=2,900 2,900+50=2,950 2,950+8=2,958

From the resulting solution, the correct linear inequality graph is Graph C.

Given the inequality equation below:

2(2x-1)+7< 13 or -2x+5 ≤ -10.​

Simplify the expression

2(2x-1)+7< 13

Expand

4x - 2 + 7 < 13

4x + 5 < 13

4x < 13 - 5

4x < 8

x < 2

For the inequality -2x+5 ≤ -10.

-2x+5 ≤ -10

-2x  ≤ -15

x  ≥ 7.5

Hence the solution to the given system of inequalities are x < 2 and x  ≥ 7.5

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The customer will pay $6.30 for the 60 local calls that all lasted 3 minutes.

To find out how much the customer will pay, we need to calculate the total cost for all the local calls.
Step 1: Calculate the total number of minutes for all the calls
Since the customer made 60 local calls and each call lasted 3 minutes, we can multiply 60 by 3 to get the total number of minutes.
60 calls * 3 minutes/call = 180 minutes
Step 2: Calculate the total cost for all the minutes
The customer pays $0.035 per minute for local calls. To find the total cost, we can multiply the total number of minutes by the cost per minute.
180 minutes * $0.035/minute = $6.30

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Remember that linear equations are in the form

where x is the slope of the line and b will b the number that intercepts the y axis, it should look like this

in this case the line on the left crosses the y axis over the point 3, which means that the equation on that line should be y=2x+3

also the line at the right crosses over the point -2, which means that the equation must be y=2x-2

Answer:

Step-by-step explanation:

21 - 6x > 34

-6x > 13

x < -13/6

The number of words Gillan can read in 1 minute is,  165

A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.

Given that,

Gillan read 3,135 words in 19 minutes

The number of words read each minute = w

Now, it has given,

Total words = 3135

Time taken = 19 minutes

For words per minute,

we need to take ratio of total words and total time taken,

Ratio =  Total words/Time taken

         =   3135/19

         =   165

Hence, the number of words in 1 minute is 165

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fn is an integrable function on [a, b]. further, assume that the sequence (fn) converges uniformly to f on [a, b]. f is integrable on integral [a, b].

Let ε > 0. Since (fn) converges uniformly to f on [a, b], there exists an N such that |fn(x) - f(x)| < ε for all x ∈ [a, b] and all n ≥ N.

Since fn is integrable on [a, b], it follows that

∫a b|fn(x)|dx < ∞ for all n ≥ N.

We have

∫a b|f(x)|dx ≤ ∫a b|fn(x)|dx + ∫a b|fn(x) - f(x)|dx

Since |fn(x) - f(x)| < ε, it follows that

∫a b|f(x)|dx ≤ ∫a b|fn(x)|dx + ε(b - a)

Since the right hand side is finite, it follows that ∫a b|f(x)|dx is finite. Hence, f is integrable on integral [a, b].

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A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.

The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.

Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.

Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.

A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

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Answer: 19,958,400

Step-by-step explanation: Multiply the length value by 63360.

315 x 63,360 = 19,958,400

Answer:

(-3/4)x^2 + 6x = 3

Step-by-step explanation:

It takes 8 seconds for the ball to reach its maximum height and then return to ground level; thus, the highest point (vertex) the ball will reach is reached after 4 seconds.  The graph showing this motion is a parabola that opens down.  Thus, the coefficient 'a' must be negative.

Returning to a * x ^ 2 + bx + c, we write out two instances of this formula, one for x = 0 and the other for x = 8.  This is because {0, 8} are the x-intercepts.

Then, for x = 0, a * x ^ 2 + bx + c   becomes  a * 0 ^ 2 + b*0 = 0,

and for x = 8,  a * x ^ 2 + bx + c  becomes  a(8)^2 + b(8) + c = 0

The first equation tells us that 'c' must be 0.  The second equation tells us that  64a + 8b = 0, which is equivalent to 8a = -b, or a = -b/8.

We then have the quadratic function  (-b/8)x^2 + bx + 0.  All we have to do now is to find the value of b.  The vertex of this parabola is (4, 12), and so the quadratic becomes

(-b/8)(4)^2 + b(4) = 12.  To solve this for b, multiply all terms by 8:

-b(16) + 32b = 96, or

16b = 96, or b = 6.  Since a = -b/8 (see above), a = -6/8 or a = -3/4.

Then the equation of motion is

height of ball = (-3/4)x^2 + 6x

We want to know when the ball is at a height of 3 m.  Thus, set this equation of motion = to 3 and solve for x (the times at which height = 3 m):

(-3/4)x^2 + 6x = 3            This is the desired quadratic equation.

Answer:

C

Step-by-step explanation:

2/3x - 5>3

Add 5 to each side

2/3x - 5+5>3+5

2/3x > 8

Multiply each side by 3/2

3/2 *2/3x > 8*3/2

x > 12

There is an open circle at 12 and the lines goes to the right

Answer:

that would be -2200 sorry if im wrong

Step-by-step explanation:

The number of tiles in the bag of 10 that are yellow in colour are; 5 tiles

We are given;

Total number of tiles in bag = 10 tiles

Now, we are told that in the bag, the tiles are either blue, green, red, or yellow.

Now, after selecting a tile, we are told that it is put back and as such we have after 100 selections that we have 24 blue tiles, 12 green tiles and 12 red tiles. Thus;

Number that will be yellow = 100 - 24 - 12 - 12 = 52 yellow tiles

Thus, it means that the probability of selecting a yellow tile is;

52/100

Thus, number of tiles out of the 10 in the bag that are yellow =

(52/100) * 10 = 5.2

Approximately 5 yellow tiles

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Complete question is;

How many yellow tiles are most likely in the bag? Enter the answer in the box. A tile is randomly selected from a bag that contains 10 tiles. The tiles are either blue, green, red, or yellow. After the color is recorded, the tile is placed back in the bag. A tile is pulled 100 times, of which 24 are blue tiles, 12 are green tiles, and 12 are red tiles.​

Solve for \(t\) when \(h=0\), given \(v_0=0\) and \(h_0 = 4\).

\(0 = -16t^2 + 4 \implies 16t^2 = 4 \implies t^2 = \dfrac14 \implies t = \dfrac12\)

so it will take half a second for the ball to hit the ground.

a) The Ferris wheel has an angular speed is 12.222 radians per minute.

b) The Ferris wheel makes 116.712 revolutions in an hour.

Kinematics is a branch of mechanical physics that studies the motion of objects without considering its causes. In other words, kinematics studies displacements, velocities and accelerations in translation, rotation and combined motion. In this case we find a Ferris wheel rotating around its axis at constant rate.

a) Then, the angular speed (ω), in radians per minute, is determined by the following product:

ω = v / R

Where:

Please notice that the length of the radius is the half of the length of the diameter.  

If we know that v = 5 mi / h and R = 36 feet, then the angular speed of the wheel is:

ω = [(5 mi / h) · (1 h / 60 min) · (5280 ft / 1 mi)] / [(0.5) · (72 ft)]

ω = 12.222 rad / min

The angular speed is 12.222 radians per minute.

b) A revolution is equal to an angular displacement of 2π radians and an hour is equal to 60 minutes. Then, we can derive the number of revolutions in an hour by dimensional analysis:

n = (12.222 rad / min) · (1 rev / 2π rad) · (60 min / h)

n = 116.712 rev / h

There are 116.712 revolutions in an hour.

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Answer:

24-4x

Step-by-step explanation:

That's your answer

Answer:

y = -x + 2

Step-by-step explanation:

linear equation is y = mx + b, where m is the slope

m = (y2 -y1)/(x2-x1) => (-1+2/(3-4 )

m = 1/-1 => -1

Now let's use given point (4, -2) and m value, so we can solve for b.

-2 = (-1)(4) + b => b= -2+4 => b= 2

Therefore, our equation is now y = -x + 2

Answer:

.20x = 72, so x = 360

.30(360) = 108

Answer:

sam is 30 and harry is 10

Step-by-step explanation:

hope you liked my answer .

Answer: Sam is 30 years old, and Harry is 10 years old.

Step-by-step explanation:

Answer:

30015 Remainder 15

Step-by-step explanation:

Answer:

30,015  11/50

Answer:

true

Step-by-step explanation:

The simplified form of the addition of all is 8\(\sqrt{10}\) + 220

A radical is an expression that involves a square root or cube root.

Analysis:

The radicals are \(\sqrt{8}\)\(\sqrt{20}\), 4\(\sqrt{10}\) and 10\(\sqrt{4}\).

The combined form is  \(\sqrt{8}\)\(\sqrt{20}\) + 4\(\sqrt{10}\)  + 10\(\sqrt{4}\).

                                      \(\sqrt{4}\)\(\sqrt{2}\)\(\sqrt{4}\)\(\sqrt{5}\) + 10\(\sqrt{4}\) + 10(2)

                                       4\(\sqrt{10}\) + 4\(\sqrt{10}\) + 20 = 8\(\sqrt{10}\) + 20

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Answer:

126

Step-by-step explanation:

The supplement of 54° is the angle that when added to 54° forms a straight angle (180° ). So,

54 + x = 180

x = 126

Answer:

Step-by-step explanation:

               x^2

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

2x + 1  /  2x^3     -     x^2    +      x      +    1

               2x^3    +    x^2

              -----------------------

                                    0 + x + 1

                                        x + 1

The quotient is  x^2 + ------------

                                       2x + 1

Answer:

The answer to 34,977* 2,344 is 81986088. Therefore, it is an even number.

Step-by-step explanation: