Jaime runs 8 miles every 3 days.
At this rate how long will it take
Jaime to run 96 miles?

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

x p(x) x.p(x)

-10 0.11 -1.1

-9 0.13 -1.17

-8 0.18 -1.44

-7 0.02 -0.14

-6 0.16 -0.96

-5 0.13 -0.65

-4 0.27 -1.08

Mean = sum of x.p(x)

mean = -1.1 + (-1.17) + (-1.44) + (-0.14) + (-0.96) + (-0.65) + (-1.08)

= - 1.1 - 1.17- 1.44 - 0.14 - 0.96 - 0.65 - 1.08

mean = -6.54

The ages of the three brothers are 4, 6, and 8.

We are given that the ages of the three brothers are consecutive even integers. Let x be the age of the first brother. Then, the ages of the three brothers are x, x+2, and x+4.

We are also given that the product of the first and third brothers' ages is 20 more than twice the second brother's ages. This can be expressed as the following equation:

x(x+4) = 2(x+2) + 20

Expanding and simplifying the left-hand side, we get:

\(x^{2}\) + 4x = 2x + 24

Simplifying further, we get:

\(x^{2}\) + 2x - 24 = 0

This is a quadratic equation that can be factored as:

(x+6)(x-4) = 0

Therefore, the possible values of x are -6 and 4. Since we are looking for even integers, the age of the first brother must be 4.

Therefore, the ages of the three brothers are:

First brother: 4 years old

Second brother: 6 years old

Third brother: 8 years old

We can check that these ages satisfy the given condition:

4 * 8 = 2(6+2) + 20

32 = 32

Therefore, the ages of the three brothers are 4, 6, and 8.

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The correct questions:

Three brothers have ages that are consecutive even integers. The product of the first and third boys' ages is 20 more than twice the second boy's age. Find the age of each of the three boys.

The surface area of the larger solid is approximately 172 mm sq. approx

Given

The volume of the smaller solid = 540 mm cube

The volume of the larger solid = 857.5 mm cube

The surface area of the smaller solid = 108 mm sq.

Required to find the surface area of the larger solid =?

Let the surface area of the larger solid be x.

(surface area of smaller solid) / (volume of smaller solid) = (surface area of larger solid) / (volume of larger solid)

Putting the values in the above formula we get the value of x.

108 mm^2 / 540 mm^3 = x / 857.5 mm^3

x = 171.5 mm sq

Thus, the surface area of the larger solid is approximately 172 mm sq

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Answer: Approximately 1.0233 meters

Round this however you need to

====================================================

Work Shown:

Refer to the drawing below.

sin(angle) = opposite/hypotenuse

sin(17) = x/3.5

3.5*sin(17) = x

x = 3.5*sin(17)

x = 1.02330096652958

x = 1.0233

Be sure that your calculator is in degree mode.

Without the tringles, we will have 3 rectangles

The formula of the area of a rectangle

for the first rectangle

l=10 in

w=6 in

for the second rectangle and third rectangle

l=10in

w=5 in

the remaining surface area is

the remaining surface area is 160 in^2

Answer:

The answer is 168!

Step-by-step explanation:

6*4=24 (There are two triangles so you don't have to divide by 2, 24 is simply the answer to both), 6*9=54, 5*9*2=90, 90+54+24=168! I hope this helps! Have a great rest of your day!

Answer:

A≈114.12

Step-by-step explanation:

A=2AB+(a+b+c)h   AB=s(s﹣a)(s﹣b)(s﹣c)

              s=a+b+c/2

                              A=ah+bh+ch+1

2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=9·5+6·5+4·5+1

2·﹣94+2·(9·6)2+2·(9·4)2﹣64+2·(6·4)2﹣44≈114.12459

here is the full explanation , I took a blackboard pavcs math quiz

Answer:

The 2 rays the form ACB ARE AC and CB

Answer: Covert the mixed number to an improper fraction for them to be too simple fractions and multiply them.

Step-by-step explanation:

By multiply fraction  by a mixed fraction you will have to rewrite the mixed number as an improper fraction.

For example ,

1  1/2  is a mixed fraction. If you convert it to improper fraction, you will get 3/2 then you multiply.

Answer:

7/12, 2/3, 17/24, 3/4

The moment of inertia for rotation about the z axis is  \(I & =\frac{a^2 M}{3}\).

A triangular prism of mass m, whose two ends are equilateral triangles.

Two ends are equal.

The xy plane with side 2a, is centered on the origin with its axis along the z axis.

Find the moment of inertia for rotation the z-axis.

It is divide into 4 triangles with side 'a' k one side is 3cm.

\($$\begin{aligned}& I_{\text {BiG }}=16 I_{\text {small }} . \\& I_{\text {BIG }}=4 I_{\text {small }}+P_{A T}\end{aligned}$$\)

It is fact that the big triangle is made up from four small triangles. connected with parallel axis theorem.

Now, we have to find the distance from the center of mas of small outer triangles to the origin. so, that it is PAT.

\($$\therefore z=2 \sqrt{x^2-\frac{a}{2} ^2}$$\)

\($$\begin{aligned}& =2 \sqrt{\left(\frac{a}{\sqrt{3}}\right)^2-\frac{a^2}{4}} \\& =2 \sqrt{\frac{a^2}{3}-\frac{a^2}{4}} \\I_{\text {Big }} & =\frac{\sqrt{3}}{3} a \cdot \\& \left.=4 I_{\text {small }}+3 m \frac{\sqrt{3}}{3} a\right)^2 \\I_{\text {Big }} & =4 I_{\text {small }}+\frac{3 m}{4} \frac{1}{3} a^2 \\& =\frac{a^2}{4}\end{aligned}$$\)

⇒ Now, by using the \($I_{\text {Big }}=I$\)

⇒\(I & =4\left(\frac{\sqrt{2}}{16}\right)+\frac{a^2 M}{4} \\\)

⇒\(4 I & =I+a^2 m\)

⇒\(4 I-I & =a^2 m \\\)

⇒\(3 I & =a^2 M . \\\)

⇒\(I \quad & =\frac{a^2 M}{3}\)

Therefore, the moment of inertia is \(I & =\frac{a^2 M}{3}\).

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Answer:

4(2x + 1)

Step-by-step explanation:

14x + 4 - 6x

Rearrange the expression with like terms together

14x - 6x + 4

8x + 4

Factorize the expression

4(2x + 1)

The method that will not give the correct number of inches is that the total length of the plant in a week is 19/4 inches.

Length of the small plant = 2 1/2 = 5/2 inches

Rate of growth = 3/4 inches

Increase in length in 3 weeks will be:

= 3 × 3/4 = 4

Total length = 5/2 + 9/4

= 19/4 inches.

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Answer:

x^2

Step-by-step explanation:

1^2=1

2^2=4

3^2=9

Using the Venn Diagram principles, the number of customers at the supermarket who purchased both shirts and pants is 26.

A Venn Diagram shows a pictorial or graphical representation of the relationship (similarities and differences) between data sets.

In a Venn Diagram, overlapping circles or other shapes can be used to depict the logical relationships between two or more data sets or items.

The total number of customers at a supermarket = 118

The number of customers who purchased shirts, n(A) = 45

The number of customers who purchased pants, n(B) = 59

The number of customers who purchased neither shirts nor pants = 40

Let the number of customers who purchased both shirts and pants = n(A ∩ B)

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

n(A) = 45 n(B) = 59 n(A ∪ B) = 118 - 40 = 78

Substituting values:

78 = 45 + 59 - n(A ∩ B)

Solving for n(A ∩ B), we get:

n(A ∩ B) = 45 + 59 - 78 n(A ∩ B) = 26

Thus, using the formula of Venn Diagram, we can conclude that at this supermarket with 118 customers, 26 customers purchased both shirts and pants.

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Answer:

see explanation

Step-by-step explanation:

vertical angles are angles on the opposite side at a vertex of 2 lines.

1 and 6 , 2 and 5 , 3 and 8 , 4 and 7 are all vertical angles

supplementary angles sum to 180°

adjacent angles on a straight line sum to 180°

1 and 2 , 3 and 4 , 5 and 6 , 7 and 8 are examples of supplementary angles.

Answer:

y=8x

Step-by-step explanation:

The equation of line is y= 8x.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given point:

(1, 8)​

and, x+8y=5​

8y= 5-x

y= 5/8 - 1/8x

Now, slope of perpendicular line

slope= 8

Now, using equation of line

y= mx+ c

and, line passes through (1, 8)

8= 8(1)+ c

c=0

Hence, equation of line is y= 8x.

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Answer:

B, C, G

Step-by-step explanation:

If we look at the graph, it shows that if an employee works for 5 hours, then they will earn $36.25.

We can take 36.25 and divide that by 5 to get the hourly wage.

36.25 ÷ 5 = 7.25

We now know that employees get $7.25 every hour.

Using this we can look back to the graph.

'A' says that if an employee does not work, they will earn $7.25.

We know that this is wrong because if you do not work, then you do not earn money.

Let's look at 'B'.

If employees work for one hour, they will earn $7.25

We know this is correct because we now know the hourly wage.

Let's look at 'C'

If employees work for 4 hours, then they will get a revenue of $29.

We can figure this out by using this equation.

number of hours × hourly wage = total payment

4 × 7.25 = 29

Then this means that this is correct.

Let's look at 'D'

It says that if employees work for 10 hours, they will earn $73

Let's use that same equation again.

10 × 7.25 = 72.5

Employees earn $72.5 for working 10 hours, not $73.

So, this is obviously incorrect.

Let's look at 'E'

It says that if employees work for 3.5 hours, they will get a revenue of $21.75.

3.5 × 7.25 = 25.375

Therefore, this is incorrect.

Now let's take a look at 'F'.

It says that if employees work for 7.25 hours, then they earn $1.

This is incorrect.

And lastly, 'G'.

We know that if you do not work, then you do not earn money.

Therefore, A, B and G are the correct answers.

The statement translated to an algebra equation will give the value of the unknown number w = 11/5

Algebra is the branch of mathematics that helps to represent problems or values in the form of mathematical expressions using letters to represent unknown values.

Let us represent the unknown number with the letter w so that the statement can be written as the equation:

5w - 8 = 3

add 8 to both sides

5w - 8 + 8 = 3 + 8

5w = 11

divide through by 5

5w/5 = 11/5

w = 11/5

Therefore, the statement translated to an algebra equation will give the value of the unknown number w = 11/5

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Answer:

The closet equivalent of the ratio of 'a' to 'c' is:

\(\frac{a}{c}=1.680\:\)

Step-by-step explanation:

Given

i.e.

a=0.63x

i.e.

c=3/8x

Hence,

\(\frac{a}{c}=\frac{0.63x}{\frac{3}{8}x}\)

\(\frac{a}{c}=1.680\:\)

Thus, the closet equivalent of the ratio of 'a' to 'c' is:

\(\frac{a}{c}=1.680\:\)

Roselyn can drive a distance until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.Roselyn can travel 120 km before running out

Distance travelled with 20 l of petrol in solution and final answer.

Roselyn's average speed is 60 kilometers per hour, and she needs to travel 150 kilometers to reach her family's place. Therefore, she will require a total of 150/60 = 2.5 hours to complete the journey.

The car's fuel efficiency is 6 kilometers per liter, meaning it consumes 1/6 liters of fuel per kilometer. To determine the total fuel required, we multiply the fuel consumption rate by the total distance: 150 * (1/6) = 25 liters of fuel.

Since the car's tank has 20 liters of fuel at the beginning of the drive, Roselyn will need an additional 25 - 20 = 5 liters of fuel to complete the journey.

As fuel costs 0.60 dollars per liter, Roselyn will need to spend a total of 5 * 0.60 = 3 dollars to purchase the necessary fuel.

Therefore, Roselyn can drive until she runs out of fuel for a time of 2.5 hours or until she spends all the fuel, whichever comes first.

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We have to find all the different lunch choices that a student have, where one lunch consists of one sandwich, one snack, and one drink.

For doing so, we remember the multiplication principle. As for each option of sandwich, we have _ options for the snacks, and for each snack we have _ options of drinks, we just have to multiply each one of the values. In this case,

Answer:

π(6 cm) (10 cm)

Step-by-step explanation:

As we know that

The formula to calculate the lateral surface area of the cone is πrl

where

r denotes the radius i.e. 6 cm

l denotes the length i.e. 10 cm

So based on the above information

The expression that shows the lateral surface area of the cone is

π(6 cm) (10 cm)

Therefore the third option is correct

Hence, the same would be relevant

Answer:

171 > 117

Step-by-step explanation:

171 is greater than 117 meaning the alligator is eating the bigger number, 171.

Answer:

Step-by-step explanation:

The Gini coefficient is 2(−13/30) = -13/15.

The Lorenz curve L(p) can be expressed as the cumulative distribution function of a random variable X. The Gini coefficient is then given by the area between the diagonal line (representing perfect equality) and the Lorenz curve L(p).

In other words, the Gini coefficient is the ratio of the area between the diagonal line and the Lorenz curve to the total area under the diagonal line.

The Lorenz curve for the state can be given as L(p)=p^4/3.Ron can compute the Gini coefficient by finding the area between the diagonal line and the Lorenz curve.

The diagonal line goes from (0,0) to (1,1).The area under the diagonal line is 1/2.

The area between the diagonal line and the Lorenz curve is given by∫[0,1](L(p)−p)dp=

∫[0,1](p^4/3−p)dp

=(1/15)−(1/2)

= -13/30

The Gini coefficient can be negative when the Lorenz curve lies above the diagonal line, which indicates that the distribution is more equal than the hypothetical distribution of perfect equality.

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Answer:

REPOST THE QUESTION WITH THE WHOLE QUESTION IN FRAME

Step-by-step explanation:

Answer:

Step-by-step explanation:

The logical sequence would be II, III and then I.

We are stating the points are on the same line, then stating that the straight line is forming a 180° angle.

It is logical after these two steps to state the line is cut by two parallel lines and move to next steps of the proof.

The triangles whose side lengths prove they are NOT right triangles are 5, 9, 6 and 19, 16, 10

Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Mathematically, it can be written as c² = a² + b² , where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

Since the hypotenuse is the longest side in a right triangle. We can write:

5, 9, 6

9² = 6² + 5²   (Pythagoras theorem)

81 = 61     (False, this is NOT a right triangles)

7, 25, 24

25² = 24² + 7²

625 = 625  (True, this is a right triangles)

5, 3, 4

5² = 4² + 3²

25 = 25 (True, this is a right triangles)

0.5, 1.2, 1.3

1.3² = 1.2² + 0.5²

1.69 = 1.69 (True, this is a right triangles)

19, 16, 10

19² = 16² + 10²

361 = 356 (False, this is NOT a right triangles)

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The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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