If I have the numbers 2,5,9,7,4,11 what is the smallest fraction I can make?

After solving, the factor of equation -16 = x²+8x is:

So,

Given equation: -16 = x²+8x

Then,

Factors are: (x+4) and (x+4)

Therefore, after solving, the factor of equation -16 = x²+8x is:

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We will use factorization for the given equation. The factors of the expression x²-6 x+8 are x = 2, x = 4

Writing a number or other mathematical object as the result of numerous factors—typically smaller or simpler objects of the same kind—is known as factorization or factoring in mathematics. For instance, the polynomial x2 - 4 and the number 15 may both be factored using the formula 3 × 5.

Given,

x²-6 x+8

Using factorization,

x² -4x - 2x + 8

⇒ x(x - 4) - 2(x - 4)

⇒ (x-2) (x-4)

⇒ x = 2, x = 4

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Answer:

Step-by-step explanation:

3 pounds

12 divided by 4= 3 pounds

Answer:

  4, 0, 3

Step-by-step explanation:

You want to know which numbers are possible values of m, given a graph of the values of m.

The graph shows an empty circle at m=6, and an arrow extending to the left from that point. The empty circle means that m=6 is not a possible value of m.

The arrow extends through possible values of m, and extends to negative infinity. That means m may have any value less than 6. Such values on the offered list are ...

  4, 0, 3

__

Additional comment

The values 6, 7, 9 are not covered by the dot or the arrow, so are not possible values of m.

Answer:

0, 3, 4

Step-by-step explanation:

When the circle is open and pointing to the left, it means that the variable is less than the number the circle is at. In this case, it means that the variable is less than 6, so you would select all values that are less than 6!

I hope I helped!

Answer:

133

Step-by-step explanation:

for that we need to sort the numbers :

124,126,128,132,132,134,134,134,142,146

the median is the number, for which half of the other numbers are smaller, and the other half of the other numbers is larger.

as we have 10 numbers, there is no such single middle number.

instead, we take the 2 middle numbers and calculate their mean value. that is then the median.

the 2 middle numbers are based on our sorted list above

132, 134

the mean value is

(132 + 134)/2 = 133

and that is then the median.

Answer:

Step-by-step explanation:

The sum of two numbers is 56 and the difference is 24. What are the numbers?

remove the difference from the sum and divide by two, you have the first number, add the difference to the first number and you will have the second number

(56 - 24) : 2 =

32 : 2 =

16  (1st number)

16 + 24 =

40 (2nd number)

The length of the rectangle is 9 feet and the width of the rectangle is 10 feet.

The sum of a rectangle's boundary lengths on all sides is known as its perimeter. A rectangle's perimeter is a linear measurement that can be expressed in meters, feet, inches, or yards. Let's first comprehend the two fundamental characteristics of a rectangle.

Let the length of the rectangle be x feet

Then, the width of the rectangle will be x+1feet

We know that the perimeter of a rectangle is given by

P= 2(l+w)

Here

P= perimeter of a rectangle

l=length of the rectangle

w= width of the rectangle

Put l=x, w= x+1 and P= 38 in the perimeter formula

38 = 2(x+x+1)

Divide both sides by 2

19= x+x+1

19= 2x+1

Subtract 1 from both sides

18=2x

Divide both sides by 2

x=9 feet

This is the length of the rectangle.

Now, the width x+1 of the rectangle will be

9+1 = 10 feet

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An exponential function can be defined as a mathematical function whose values are generated by a constant that is raised to the power of the argument. Mathematically, an exponential function is represented by this formula:

f(x) = eˣ

Generally speaking, a mathematical model for any quantity (water) that decreases by r percent per unit of time is an exponential function of this form:

P(t) = I(1 - r)^t

Where:

Substituting the given parameters into the formula, we have;

P(t) = I(1 - r)^t

P(50) = 1500 × (1 - 0.3)^0.2{50}

P(50) = 1500 × (0.97)^10

P(50) = 1,106 gallons.

Therefore, there would be 1,106 gallons of water left in the pool after 50 minutes.

Next, we would determine the amount of time it would take to have less than 1000 gallons in the pool:

P(t) = I(1 - r)^t

1000 = 1500 × (1 - 0.3)^0.2t

1000 = 1500 × (0.97)^0.2t

1000/1500 = (0.97)^0.2t

2/3 = (0.97)^0.2t

Taking the log of both sides, we have:

log0.97(0.2t) = log(2/3)

t = log(2/3)/(0.27log0.97)

Time, t = 66.6 minutes.

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Complete Question:

A pool drains at a rate of 3% every 5 minutes. If it starts with 1500 gallons, how many gallons are left in the pool after 50 minutes? About how many minutes will it take to have less than 1000 gallons in the pool? Justify your answer with a mathematical model of the problem situation.

Answer: 1 1/2> 5/4> 100%> 7/10> 0.25

Step-by-step explanation:

1 1/2= 1.50

5/4= 1.25

0.25

7/10= 0.70

100%= 1

1.50>1.25>1>0.70>0.25

Answer: The diagonal line would have a negative slope

Step-by-step explanation:

The number of persons that would be able to receive the chocolates based on the question is 19

The total number of chocolate = 6 1/2

This can be written to be 13 / 2 or 6.5

The number or amount that she has to give from what is contained in the box to each person is 1/3 = 0.33

Hence to get the number of people that would receive the chocolate we would have

6.5 / 0.33

= 19.5

This can be approximated to 19

Hence the total number that would receive the chocolate is 19

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The simplified value of the expression −5 5/8 ÷ 5 is −1 1/8

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

−5 5/8 ÷ 5

Convert the mixed fractions to improper fractions

So, we have

−5 5/8 ÷ 5 = −45/8 ÷ 5

Express the quotient as a product

So, we have

−5 5/8 ÷ 5 = −45/8 x 1/5

Evaluate the product of the numerators in the above expression

So, we have

−5 5/8 ÷ 5 = −45/8 x 1/5

Evaluate the product of the denominators in the above expression

So, we have

−5 5/8 ÷ 5 = −45/40

Simplify the result

So, we have

−5 5/8 ÷ 5 = −9/8

Express as a mixed number

So, we have

−5 5/8 ÷ 5 = −1 1/8

Hence, the simplified value of the expression −5 5/8 ÷ 5 is −1 1/8

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The equation for the number of 30 days periods until the value of both cards will be equal is 130 - 3x = 110 - 2.5x

let

Number of 30 days period = x

Gift card 1:

130 - 3x

Gift card 2:

110 - 2.5x

130 - 3x = 110 - 2.5x

130 - 110 = -2.5x + 3x

20 = 0.5x

x = 20/0.5

x = 40

So,

Gift card 1:

130 - 3x

= 130 - 3(40)

= 130 - 120

= $10

Gift card 2:

110 - 2.5x

= 110 - 2.5(40)

= 110 - 100

= $10

Therefore, the value of each card when they have equal value is $10

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try do to division, 14÷3800

I'm not sure about the round though

Answer:

1. x≤9
2. x>12

Step-by-step explanation:

1. Rewrite so x is on the left side of the inequality.

3x−4≤23

Move all terms not containing x to the right side of the inequality.

3x≤27

Divide each term in 3x≤27 by 3 and simplify.

x≤9

2. Rewrite so x is on the left side of the inequality.

3x-4>32

Move all terms not containing x to the right side of the inequality.

3x>36

Divide each term in 3x>36 by 3 and simplify.

x>12

The number of miles driven per gallon is 401/20

Louie drove 5- 1/8 miles

He used 2.5 gallons for this journey

Therefore the number miles per gallon can be calculated as follows

401/8 = 2.5

x= 1

Cross multiply both sides

2.5x= 401/8

x= 401/8 ÷ 2.5

x= 401/8 × 1/2.5

= 401/20

Hence the number of miles per gallon is 401/20

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The value of function f(x) at x = - 1 and x = 3, will be -

f(-1) = 3

f(3) = 3

We have a function f(x).

We have to evaluate it at x = -1 and x = 3.

A function in mathematics is a relation between a dependent and independent variables [y and x respectively]. In a function, the dependent variable (y) always depends on independent variable (x) for its value. It is denoted by - y = f(x).

According to the question, we have -

f(x) = [- x + 2  , x ≤ 1] and f(x) = [x² - 4x + 6,  x > 1]

Now, for x = -1, f(x) will be -

f(- 1) = - (-1) + 2 = 3

and

for x = 3, f(x) will be -

f(3) = 3² - 4 x 3 + 6 = 3

Hence, the value of function f(x) at x = - 1 and x = 3, will be -

f(-1) = 3

f(3) = 3

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The y - intercept represents a cereal with zero grams of sugar that has a rating of about 57.

The general equation of a straight line is -

y = mx + c

where -

m → slope of line

c → y-intercept of line

Given a equation → y = 2.391x + 57.420 that models the taste rating of a cereal 'y' and 'x' represents the number of grams of sugar per serving.

The y-intercept of the equation represents the point at which the graph of the equation cuts the y - axis. Now, the coordinates of the y-intercept is of the form (0, y). Therefore, the x-coordinate will be 0. Now, the equation given is -

y = 2.391x + 57.420

Comparing it with the general equation of line -

y = 2.391x + 57.420

y =   mx     +    c

The y - intercept is c = 57.420

At x = 0, the equation becomes -

y = 2.391 x 0 + 57.420

y = 57.420

Now -

Number of grams of sugar per serving = 0

Taste rating of a cereal = y = 57.420

Therefore, the y - intercept represents a cereal with zero grams of sugar that has a rating of about 57.

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Answer:

210:35 = 6:1

Step-by-step explanation:

210:35

if divided by 35, then 6:1

Answer:

x=30

Step-by-step explanation:

on the left you have a ninety-degree angle.

5(x-12) = 90

5x-60=90

  +60 +60

5x=150

/       /

5      5

x=30

Answer:

Step-by-step explanation: the answer is D. because all of the oher choices don't make sense obviously.

Step-by-step explanation:

11dvccvgtgcgt5cjuuhh

The probability of grabbing a lemon-limbed or a fruit punch bottle from the cooler is 6/11.

'AND' represents multiplication and 'OR' represents addition.

The total number of bottles of sports drinks which is also our sample space

N(S) = 11.

The number of lemon-lime flavored bottles [tex]N(L_l)[/tex] = 3.

The Number of fruit punch flavored bottles [tex]N(F_p)[/tex] = 3.

So, the probability of grabbing a lemon-lime bottle [tex]P(L_l)[/tex] = [tex]\frac{N(L_l)}{N(S)}[/tex] = 3/11.

And, the probability of grabbing a fruit punch bottle [tex]P(F_p)[/tex] = [tex]\frac{N(F_p)}{N(S)}[/tex] = 3/11.

∴ The probability of grabbing a lemon-lime or a fruit punch bottle is the sum of the probability [tex]P(L_l) + P(F_p)[/tex].

= 3/11 + 3/11.

= 6/11.

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The answer to the value gotten without the significant figure doesn't make sense as there's a huge difference.

It should be noted that 13822 to 1 significant figures will be 13000.

Also, it should be noted that 623 to 1 significant figure will be 600.

14 to 1 significant figure will be 10.

Therefore, the multiplication will be:

= (13000 × 600) / 10

= 780000

Therefore, the answer to the value gotten without the significant figure doesn't make sense as there's a huge difference since the earlier value was 615079.

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Answer:

3-y/3

The slope is -2/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

64

Answer:  -2 (16x + 1)

Step-by-step explanation:

A=P e rt is known as the continual" growth formula.

What is a PE RT formula?

A = PRT, where "A" is the ending amount, "P" is the beginning amount (principal, in the case of money), "r" is the growth or decay rate (represented as a decimal), and "t" is the time (in whatever unit was used on the growth/decay rate), is the equation for "continual" growth (or decay).

What is the purpose of a PE RT?

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The answer will be y =2

x and y graph also known as the x and y-axis are two important lines that make a graph. A graph consists of a horizontal axis and a vertical axis where data can be represented. A point can be described in a horizontal way or a vertical way, which can be easily understood using a graph. These horizontal and vertical lines or axis in a graph are the x-axis and y-axis respectively.

A x and y graph can be defined by the two axes i.e. x-axis and the y-axis that form a coordinate plane for a graph. The horizontal axis is represented by the x-axis and the vertical axis is represented by the y-axis. The point where the x and y-axis intersect is known as the origin and is used as the reference point for the plane.

y = 1/3x

when x =0

y = 0

when x =3

y = 1/3×3 = 1

when x=6

y=1/3×6= 2.

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Answer:

Let s =cost of skiing per day. Here's what we know:

450 + 20s = 64s + 20s (the season pass plus ski rentals equates to daily skiing plus ski rentals)

We have 20s on both sides, so those cancel out easily:

450 = 64s

Divide both sides by 64:

7.03 ≈ s

You can't pay for a partial day, so the skier will have to ski for at least 8 days to make the season pass cheaper than getting daily passes.

Step-by-step explanation:

Hope this helps :D