Name a fraction that is equivalent to three twelfths and also has a denominator that is less than 12. Explain how you found your answer

Based on the number of miles that Reshanda rode on her bicycle from her house, her average rate over the last 7 hours of the trip was 7 miles per hour

The average rate shows the speed that a person was going over a period of time such that they were able to cover a certain distance, in that period of time.

First, find the number of miles that Reshanda rode in the last 7 hours of her trip on the bicycle:

= Number of miles after 11 hours - Number of miles after 4 hours
= 79 miles - 30 miles

= 49 miles

Reshanda was able to ride for 49 miles in the last 7 hours so her average rate was:

= Distance / Time

= Number of miles ridden / Time ridden

= 49 / 7

= 7 miles per hour

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The total surface area of the figure will be 1968.85 square meters.

To determine  the surface area of the figure, we need to find the area of each face and then add them together.

Surface Area of the rectangular prism = 2(lb + bh + hl)

= 2(16 × 9.5) + 2(9.5 × 14) + 2(16 × 14)

= 2(152 + 133 + 224) = 2(509)

= 1018 m²

Next, we need to find the area of the triangular prism on the front with dimensions 11 m, 12.7 m, and 14 m:

Surface Area of the triangular prism;

= (11 × 14) + 2(0.5 × 11 × 12.7) + 2(0.5 × 12.7 × 14)

= (154 + 350.35 + 445.5)

= 950.85 m²

Therefore, the total surface area of the figure will be;

Total Surface Area = Surface Area of rectangular prism + Surface Area of triangular prism

= 1018 m² + 950.85 m²

= 1968.85 m²

So, the surface area of the figure is 1968.85 square meters.

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Answer: 24 ft

Step-by-step explanation:

By the Pythagorean theorem,

\(7^{2}+x^{2}=25^{2} \\ \\ 49+x^{2}=625 \\ \\ x^{2}=576 \\ \\ x=\boxed{24 \text{ ft}}\)

Step-by-step explanation:

This is an equation, where we need to find the value of x.

To solve this equation, we can first use the distributive property to expand 3.4(x + 7) which gives 3.4x + 3.4 * 7 = 3.4x + 23.8

Now we have the equation:

3.4x + 23.8 - 2.1 = 35.5

Next, we can add 2.1 to both sides of the equation:

3.4x + 23.8 = 37.6

Then, we can subtract 23.8 from both sides of the equation:

3.4x = 13.8

Finally, we can divide both sides of the equation by 3.4 to find the value of x:

x = 4

Therefore, the value of x that solves the equation is 4.

Answer:

The number is gradually increasing representing the people entering the park, the number becomes constant after a while , and lastly the people are starting to leave causing the decline on the graph.

Step-by-step explanation:

This the plebian explanation of how my teacher it.

The graph is showing the entry of the people in the amusement park.

A graph represents the data on the vertical and horizontal coordinates so we can see the trend of the data.

A graph is a structure that resembles a set of items in mathematics, more specifically in graph theory, in which some pairings of the objects are conceptually "connected."

The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.

As more people visit the park, the number progressively rises; after a while, it stabilizes; and finally, as more people start to leave, it begins to drop on the graph.

Therefore, the graph is showing the entry of the people in the amusement park.

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Answer:

ok we know the box means 90 degrees and one corner is 63 degrees so in order to get 180 degrees we add 90+63 which is 153 then we take that away from 180 so the answer is 17

Answer:

True

Step-by-step explanation:

If the discriminant \(D=b^2-4ac < 0\), then there are two complex roots

If the discriminant \(D=b^2-4ac > 0\), then there are two real roots

If the discriminant \(D=b^2-4ac=0\), then there is only one real root

Answer:

none of the Above

Step-by-step explanation:

Answer:

"w" (and any subsequent words) was ignored because we limit queries to 32 words.

w = 0.33 so, w lies before A, B, and C.

Option A is the correct answer.

It is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

We have,

Average weight.

w = Sum of all the weight / 3

w = (0.5 + 0.3 + 0.2) / 3

w = 1/3

w = 0.33

Now,

A = 3, B = 6, and C = 7 on the number line.

0.33 lies before A, B, C

Thus,

w lies before A.

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5998 subscribers are needed to bring a total profit of $120,000.

The amount that a business makes in net profit is what remains after all operating costs, interest costs, and tax costs have been subtracted from the gross profit. Accordingly, we must first determine the gross profit in order to calculate the net profit. As a result, the equation for calculating net profit is net profit = gross profit - expenses.

120000 = 20(x) + .01( x - 3000)

Now solve for x

120000 = 20x +.01x - 30,

Add 30 both sides,

120030 = 20.01x

Divide by 20.01

x = 5998.50075

so they need  5998 subscribers.

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Considering the definition of perpendicular line, the equation of the perpendicular line that passes through the point (x, y) = (3, 1) and is perpendicular to the line 2x + 3y = 12 is y= 3/2x -7/2.

A linear equation o line can be expressed in the form y = mx + b

where

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

In this case, the line is 2x+3y= 12. Expressed in the form y = mx + b, you get:

3y= 12 - 2x

y= (-2x +12)÷ 3

y= -2/3x +4

Since multiplying the slopes of two perpendicular lines, you get -1, and the line has a slope of -2/3, you get:

-2/3× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (-2/3)

slope perpendicular line= 3/2

The line passes through the point (3, 1). Replacing in the expression for parallel line:

1= 3/2× (3) + b

1= 9/2 + b

1- 9/2 = b

-7/2= b

Finally, the equation of of perpendicular line is y= 3/2x -7/2.

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The points we have are:

We label this points as follows for reference:

We have that the ratio is:

Where we will call a=1 and b=3.

And we use the following formula for finding the coordinates of a point given the two endpoints and the ratio:

Substituting our values:

We solve the operations:

Point P is at (2,0)

Answer:

Yes, the cube on the right is more than twice as the cube on the left.

Answer:

f(x) \(\leq\) 3x + 4

g(x)  ≥ -1/2x - 5

Step-by-step explanation:

Point D is below f(x)  and above g(x)

Helping in the name of Jesus.

The probability that at least one person will be infected by the flu in the sample of 12 people is approximately 0.9313.

What exactly is probability?

Probability is a measure of how likely an event is to occur. It is a numerical number ranging from 0 to 1, with 0 indicating that an event is impossible and 1 indicating that an event is unavoidable.

The number of favourable outcomes divided by the total number of potential outcomes yields the probability.

Now,

To solve this problem, we can use the concept of the complement rule of probability, which states that the probability of an event happening is equal to 1 minus the probability of the event not happening.

Let A be the event that at least one person is infected by the flu in the sample of 12 people. The complement of A is the event that no one is infected by the flu in the sample.

Probability of  complement of A will be

P(A') = (0.8)¹² = 0.0687 (rounded to four decimal places)

Therefore, the probability of at least one person being infected by the flu in the sample of 12 people is:

P(A) = 1 - P(A') = 1 - 0.0687 = 0.9313

Therefore,

                  the probability that at least one person will be infected by the flu in the sample of 12 people is approximately 0.9313.

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Answer:

8)36

Step-by-step explanation:

78+66=144

180-144=36

9)63+86=149

180-149=31

180-31=149

10)180-(6+25x)=180-(44)-(18x-3)

x=5

11)35+2x+5+x-10=180

x=50

The dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ration.

To determine the amounts of the 70% protein supplement and the 20% protein ratio needed to make a 1900-pound high-grade 55% protein ration, we can set up a system of equations.

Let's assume x represents the pounds of the 70% protein supplement and y represents the pounds of the 20% protein ratio.

The total weight equation is given by:

x + y = 1900

The protein content equation is given by:

(0.70x + 0.20y) / 1900 = 0.55

Simplifying the second equation, we get:

0.70x + 0.20y = 0.55 × 1900

0.70x + 0.20y = 1045

Now, we can solve this system of equations to find the values of x and y.

Rearrange the first equation to solve for x:

x = 1900 - y

Substitute this expression for x in the second equation:

0.70(1900 - y) + 0.20y = 1045

1330 - 0.70y + 0.20y = 1045

1330 - 0.50y = 1045

-0.50y = 1045 - 1330

-0.50y = -285

y = -285 / -0.50

y = 570

Now substitute this value of y back into the first equation to find x:

x + 570 = 1900

x = 1900 - 570

x = 1330

Therefore, the dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ratio.

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Answer:

l = 15 feet

Step-by-step explanation:

l = 2w + 3

First you solve for the width(w)

(2w+15) (w-6) = 0

This means

2w+15=0 OR. w-6=0

First let’s solve 2w+15=0

2w = -15

w = -7.5

Width can’t be negative so that can’t be the answer. So we look at the second equation w-6=0

w= 6

Since we found the width now we can find the length by using the formula l = 2w + 3

= 2(6) + 3

= 12 + 3

= 15 feet

You can check this by using the given area which is 90.

A = lw = 15*6 = 90

The quotient of a number x and two tenths is 5x

Quotient is defined as the quantity derived from the division of two numbers.

From the information given, we are to find the the quotient of;

The quotient is written thus;

= x/ 2/ 10

Take the inverse of the denominator and multiply

= x × 10/ 2

= 10x/ 2

find common divisor

= 5x

Thus, the quotient of a number x and two tenths is 5x

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Answer:

  2x² -x -9 = 0

Step-by-step explanation:

You want 4x^2-x=2x^2+9 written in standard form.

The standard form of a quadratic equation is ...

  ax² +bx +c = 0

To get that form, we can subtract the right-side expression from both sides:

  (4x² -x) -(2x² +9) = 0

  2x² -x -9 = 0 . . . . . . . . simplify

Answer:

I will help you okay????

The required value of the x in the proportional relationship is 8.

Given that,
Variables y and x have a proportional relationship and y = 21 when x = 14. What is the value of x when y = 12 is to be determined.

proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.

Here,
y = 21 when x = 14,
y = 12 when x = ?
So y is proportion to x,
21 / 12 = 14 / x
x = 14 (12 / 21)
x = 2 (12 / 3)
x = 2 (4)
x = 8

Thus, the required value of the x in the proportional relationship is 8.

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The unit rate of computers per day using the graph is that 12 computers are made per day.

The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.

To obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x

So, it is given by:

\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)

\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)

\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)

\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)

\(\bold{Slope = 12}\)

Unit rate = 12 computers per day.

The attachment of the graph is given below.

Therefore, the unit rate of computers per day is 12.

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Answer:

To find the total amount in Mr. Hunter's account, we need to use the formula:

A = P(1 + r/n)^(nt)

where:

A = the total amount

P = the principal amount (the initial investment)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, P = $900, r = 0.06, n = 1 (compounded annually), and t = 2.

So, plugging in these values, we get:

A = 900(1 + 0.06/1)^(1*2)

A = 900(1.06)^2

A = 900(1.1236)

A = $1,011.24

Therefore, the total amount in Mr. Hunter's account after 2 years is $1,011.24.

The solution to the questions are:

From the question, we have the following parameters that can be used in our computation:

Length = 350 - 2x

Width = x

The area of a rectangle is the product of its dimensions

So, we have

Area = Length x Width

Substitute the known values in the above equation, so, we have the following representation

A = (350 - 2x) * x

Evaluate

A = 350x - 2x²

Differentiate and set to 0

350 - 4x = 0

So, we have

4x = 350

Divide by 4

x = 87.5

Recall that

Length = 350 - 2x

So, we have

Length = 350 - 2 x 87.5

Evaluate

Length = 175

The area is then calculated as

Area = Length x Width

So, we have

Area = 175 x 87.5

Evaluate

Area = 15312.5 square meters

Hence, the area is 15312.5 square meters

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1.243 is the measure of the value of x from the given expression

Rational equations are those that contain rational expressions. A rational expression is a fraction with polynomial numerator and denominator. A rational expression, in other terms, is a ratio between two polynomials.

Given the following rational equation

√11 x = √17

We need to determine the measure of the value of x.

Taking the square of both sides we will have:

(√11 x)² = (√17)²

11x² = 17

x² = 17/11

x² = 1.545

Take the square root of both sides

√x² = √1.545
x = 1.243

Hence the measure of the value of x from the given equation is 1.243.

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Answer:

Step-by-step explanation:

The following set of real numbers  R = { (x,y) : (2,3), (4,4), (6,5), (8,6)...} is linear.

A set is a collection of well defined objects.

According the given set we have R = { (x,y) : (2,3), (4,4), (6,5), (8,6)...}

The set is of real numbers and it is linear.We can define this linear relationship by for every 2 point right shift or run in x axis results in 1 point up shift in y axis or rise.

We know linear equation is of form y = mx + b. Where m is the slope and b is the y intercept.

Slope(m) = rise/run or (y₂ - y₁)/(x₂ - x₁).

lets take two pair of co-ordinates from he given set.

(x₁,y₁) = (2,3) and (y₁,y₂) = (4,4).

Slope (m) = (4 - 2)/(4 -3)

           m = 2.

Now the equation can be written as

y = 2x + b to find the y intercept we will put the values of x and y from any of the co-ordinate.

(x,y) = (2,3)

∴ y = mx + b

3 = 2(2) + b

b = -1.

∴ y = 2x - 1.

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The system of equations has a solution such that x = -3 and y = 2.

To solve the system of linear equations:

3x - y = -11

-x + y = 5

We can use the method of elimination:

Add the two equations together to eliminate y:

3x - y + (-x + y) = -11 + 5

Simplifying:

2x = -6

Divide both sides by 2:

x = -3

Substitute x = -3 into one of the equations to solve for y:

-x + y = 5

-(-3) + y = 5

3 + y = 5

Subtract 3 from both sides:

y = 2

Therefore, the solution to the system of equations is x = -3 and y = 2.

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