Which is more, 2.5 meters or 260 centimeters?

The fraction that names one part of the granola bar shared by Tiana and her 3 brothers is c. 1 / 4.

Tiana has 3 brothers and they all shared a piece of the granola bar. This means that the number of people who shared the granola bar is:

= Tiana + 3 brothers

= 4 people

With each of them getting a piece of the granola bar, it means that the fraction that names one part of the bar is:
= Number of granola bars / Number of people

= 1 / 4

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The full question is:

Tiana shares a granola bar with her 4 brothers. They each get one piece of the bar. What fraction names one part?

Answer:     [tex]A = 28.26 ft^2[/tex]

Step-by-step explanation:

The formula for the area of a circle is: A = π[tex]r^2[/tex]

We need to plug in the values from the question into the formula.

[tex]A = (3.14)(3)^2[/tex]

A = (3.14)(9)

A = 28.26

Don't forget the units! Since we found the area of the circle, we need to square the units.

[tex]A = 28.26 ft^{2}[/tex]

10 pints is equal to 5 quarts.

Given that there are 10 pints.

We need to convert pints to quarts.

To convert pints to quarts, we need to keep in mind that there are 2 pints in 1 quart.

Given that we have 10 pints, we can divide this value by 2 to obtain the equivalent amount in quarts:

10 pints / 2 pints per quart

= 5 quarts

Therefore, 10 pints is equal to 5 quarts.

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The box will accelerate down the ramp at a rate of 0.063 m/s²

To find the acceleration of the box down the ramp, you can use the equation:

a = g sin(θ) - (μ g cos(θ)) / m

In this equation, "a" is the acceleration of the box, "g" is the acceleration due to gravity (9.8 m/s²), "θ" is the angle of the ramp with respect to the horizontal, "μ" is the coefficient of friction between the box and the ramp, and "m" is the mass of the box.

Plugging in the values that you know, you get:

a = 9.8 × sin(24.7) - (0.211 × 9.8 × cos(24.7)) / 34.9

This simplifies to:

a = 4.095 - 1.87/ 34.9 = 0.063 m/s²

Thus, the box will travel down the ramp at a speed of 0.063 m/s².

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The point that is marked X on the graph is the standard free energy of the reaction.

Let us note that when we talk about the standard free energy of the reaction what we mean here is the energy of the reaction that is free to be able to do work. In the case of the standard change in the free energy, we are looking at the change of the free energy of the standard states of the substance.

The graph as we have it is trying to show the reaction profile and the reaction profile would give the difference between the free energy of the products and the reactants and this is the standard change in free energy.

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We can see here that AC and BC are:

AC = 5cm

BC = 3cm

A triangle is a three-sided polygon, and it is one of the basic shapes in geometry. In a triangle, three straight lines, called sides, are connected end-to-end to form the shape. The point where two sides meet is called a vertex, and there are three vertices in a triangle.

There are several types of triangles, each with their own specific properties. The most common classification of triangles is based on their side lengths.

Using Sine Rule, we have:

[tex]\frac{a}{Sin A} = \frac{b}{Sin B}[/tex] where:

Sin A = Sin 30° = 0.5

Sin B = Sin 80° =  0.9848

a = x cm

b = 5cm

Thus, inserting the the above values into the Sine Rule equation, we have:

[tex]\frac{x}{0.5} = \frac{5}{0.9848}[/tex]

Cross-multiplying, we have:

0.9848x = 5×0.5

0.9848x = 2.5

∴ x = 2.5 ÷ 0.9848 = 2.538cm

≈ 3cm.

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Answer:

Step-by-step explanation:

y=1/3x-13/3

Okay so we have the points (1,-4) and (-5,-6).

Slope = (-6+4 ) / (-5-1)

Slope = -2/-6

Slope = 1/3

y=mx+b

m=1/3

Now let's take a point from the equation, and use the slope to determine b.

-4=1/3(1)+b

b=-4 1/3

Now let's combine our elements.

y=1/3x-13/3

Answer:

Step-by-step explanation: Half of 70 is 35 so there are 35 Sixth-grader and then you do 70 multiplied by 30% and get 21

The width of the given rectangle is; 7 units

Let the length of the rectangle be x and let the width be y.

We are told that the length of a rectangle is the sum of the width and 2. Thus;

x = y + 2

Now, formula for area of rectangle is;

A = length * width

Thus;

A = y(y + 2)

Now, we are told that the area is 63 square units and as such;

y(y + 2) = 63

y² + 2y - 63 = 0

Factorizing gives us;

(y + 9)(y - 7) = 0

Thus; y = 7

x = 7 + 2

x = 9

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Answer:

Step-by-step explanation:

6.25 X 8 = 50.000 then add 370,000 + 50.000 = 420,000

A Histogram from the menu should be used.

A histogram is a bar graph-like representation of data that buckets a range of outcomes into columns along the x-axis. The y-axis represents the number count or percentage of occurrences in the data for each column and can be used to visualize data distributions.

Given data is $25,745; $26,512; $27,322; $27.750; $29,820; $32,500; $35,448; $52,020; $63,485: $87,167

We know that Histograms are graphs that are preferred to determine any probability distribution of data. So, the Median, maximum value, and lowest value can be easily demonstrated in "Histogram graphs"

Thus, Histograms should be used.

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It will take 9 years to double the money at 9% per annum

Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.

Given:

let P = 100

Interest = 100

Apply formula of interest

Interest= (P x R x T) ÷ 100

100= (100x 9 xT )÷100

T= 11.11 years

In case of annually compounded interest let us assume that Rs 100 to[tex](1.09)^ 9 =(1.09)^T[/tex] become 200 . Apply formula

A=P[tex](1+R/100)^T[/tex]

200=100 [tex](1+9/100)^T[/tex]

200=100 [tex](109/100)^T[/tex]

2 =  [tex](109/100)^T[/tex]

[tex](1.09)^ 9 =(1.09)^T[/tex]

On Comparing

T= 9 years.

Hence, It will take 9 years.

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Answer:

k should equal 2 and above

Step-by-step explanation:

A product of 6 is 12 which is 6 * 2 so therefore k should equal anything above 2

The quotient is 33x-8 and the remainder is 44.

What is quotient?

In arithmetic, a quotient is described as a quantity produced by the division of two numbers.

The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division, or as a fraction or a ratio.

The result of dividing 23-2-11x-8 by x+1 using synthetic division is:

23 | -2  -11x -8

x+1 | 23  21  11x

          44  33x-8

I conclusion, synthetic division is also an arithmetic method for manually performing Euclidean division of polynomials, with less writing and fewer calculations than long division.

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Answer:

-600 is the sum of the arithmetic SERIES till [tex]S_{12}[/tex]

Step-by-step explanation:

Since this is a SERIES you would use the finite arithmetic SERIES formula

which is [tex]S_{n} = \frac{n}{2} (2a_{1} +d(n-1))[/tex]

[tex]S_{12} = \frac{12}{2} (2(-6) + -8(12-1))[/tex]

[tex]S_{12} = 6(-12 + -8(11))[/tex]

[tex]S_{12} = 6(-12 + -88)[/tex]

[tex]S_{12} = 6(-100)[/tex]

[tex]S_{12} = 600[/tex]

Therefore, the sum of the SERIES would be -600. Hope this helps!

The fraction that is equivalent to a terminating decimal between 0.25 and 0.50 is given as follows:

C. 7/20.

A fraction is represented by the division of a term x by a term y, such as in the equation presented as follows:

Fraction = x/y.

The terms that represent x and y are listed as follows:

Hence the conversion from fraction to decimal for each item in this problem is given as follows:

This means that the correct option is given by option C.

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The solution of the given inequality is x<6.5. Therefore, option D is the correct answer.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is x/x-6 >13.

Multiply x-6 on both the sides of an inequality, we get

x>13(x-6)

x>13x-78

Add 78 on both the sides of an inequality, we get

x+78>13x

Subtract x on both the sides of an inequality, we get

78>12x

12x<78

x<6.5

Therefore, option D is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

This rational inequality can be used to determine the number of seconds, , that a beginning ice-skater can skate before losing his or her footing. x/x-6 >13  If Charlene has never ice-skated before, which inequality describes the number of seconds she can expect to skate before losing her footing?

A. 6>x>6.5

B. x<6

C. x<0

D. x<6.5

E. x<6

Answer:

If HG = HK, then HG = HK. This statement is true by definition, as both sides of the equation are equal to the same value.

If KHJ = KJH, then KHJ = KJH. This statement is also true by definition, as both sides of the equation are equal to the same combination of letters.

August surveys may not adequately represent Christmas buyers' intentions. Surveying customers on a weekday between 10 AM and 4 PM may not capture the spending intentions of all demographic groups, resulting in a skewed sample.

It's also vital to consider economic situations, customer preferences, and promotional bargains when predicting consumer spending.

Generally, It is possible that the survey results do not accurately predict the actual spending during the Christmas season. Surveying shoppers in August, several months before the Christmas season, may not accurately reflect the shopping plans of consumers closer to the holiday. Additionally, surveying shoppers during a weekday and between the hours of 10 AM and 4 PM may not capture the spending plans of all demographic groups, potentially leading to a biased sample.

Another reason why the survey estimate of $250 is so far below the previous $400 figure could be due to the fact that the survey only asked 5 questions. This may not have been enough to gather enough information about the spending habits and intentions of the shoppers surveyed.

It's also worth noting that there are many different factors that can influence consumer spending, such as economic conditions, changes in consumer preferences, and the availability of promotional deals, so it's important to consider these other factors as well when trying to predict future spending.

In conclusion, the survey results do not provide a reliable indication of the sales for the upcoming Christmas. Without more information about the survey methodology and the results, it's difficult to determine the reasons for the discrepancy between the survey estimate and the actual spending from the previous Christmas season.

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Answer:

Step-by-step explanation:

1st. 4000x73+292000

2nd. 292000+42+292042

3rd. 292042-34=292008

The required answer is,

Percentage of green = 37%.

The surface area of a cylinder can be defined as the total space covered by the flat surfaces of the bases of the cylinder and its curved surface.

A=2πrh+2πr2

r Radius

h Height

Here, we have,

Surface area of a cylinder = πr² + 2πr h

With r = 22 and h = (6 + 10) = 16

Area = π * 22² + 2 * π * 22 * 16

Area = 1520.728 + 2211.968

Area = 3732.696 in²

Now,

Percentage of green = surface area of green ÷ total surface area

Surface area of green = 2πr h

Surface area of green = 2 * π * 22 * 10

Surface area of green = 1382.48

Percentage of green = 1382.48 / 3732.696 * 100%

Hence, the required answer is,

Percentage of green = 37%

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An inequality's solution is a value that makes the inequality true. There are various ways to resolve an inequality.

The solution set is the collection of all possible solutions to an inequality. The meaning of the symbol / is "is not greater than or equal to." A relationship between two expressions or values that is not equal to each other is known as inequality in mathematics.

So inequality results from an imbalance. in order to demonstrate that substituting one or more variables into an inequality or equation "works out". This means that the equation or inequality can be reduced to a true statement.

A number sentence proves that two numerical expressions are equal. When two numerical expressions are equivalent, a number sentence is said to be true (that is, both evaluate to the same number). Otherwise, it is alleged to be false.

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Answer:

75 = 4w

Step-by-step explanation:

Let w = width

Let w + 5 = length

Let p = perimeter ( Perimeter is given: 70 ft. )

Write the formula to find the perimeter of a rectangle

p = 2 ( l + w )

Sub the numbers in

70 = 2 [(w+5) + (w)]

Simplify the equation

70 = 2 (2w + 5)

70 = 4w + 5

75 = 4w

The area of the shape as shown in the diagram  is 50.24 squared unit.

Area can be defined as the region bounded by a plane shape.

To calculate the area of the shape, we use the formula below.

Formula:

Where:

From the question,

GIVEN:

Substitute these values into equation 1

Hence, the area is 50.24 squared unit.

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Answer:

b = 4

Step-by-step explanation:

b^3=64

3√b = √64

b = 4

Answer:

b = 4

Step-by-step explanation:

Answer:  Choice 2. x = 5 ± i √5

Step-by-step explanation:

Use the formula

(b/2)^2

in order to create a new term. Solve for x by using this term to complete the square.

Hope this helps!

Answer:

✓2^5

Step-by-step explanation:

use the concept of indixes.

so;

By the power rule;

= (2^1/2)^2 *(2^3/4)^2

=2*(2^3/2)

2^(1+3/2)

2^5/2

✓2^5.

The value of solution of the expression is,

⇒ [tex]\sqrt{2^{5} }[/tex]

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ [tex](2^{1/2} * 2^{3/4} )^{2}[/tex]

Now, We can simplify as;

⇒ [tex](2^{1/2} * 2^{3/4} )^{2}[/tex]

⇒ [tex](2^{(5/4) } )^{2}[/tex]

⇒ [tex](2^{5/2} )[/tex]

⇒ [tex]\sqrt{2^{5} }[/tex]

Thus, The value of solution of the expression is,

⇒ [tex]\sqrt{2^{5} }[/tex]

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Answer:

-34p-63q

Step-by-step explanation:

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The function that best shows the relationship between n and f(n) is;

f(n) = 24(0.5)ⁿ⁻¹

The function table below that shows the amount of chlorine is;

n    1        2      3     5

f(n)  24     12      6    3

Where f(n) is the amount in ounces, that was left in the pool after n weeks:

We can see that the value of f(n) is decreasing as n increases from the table.

Due to the fact that f(n) does not have common difference. Let us attempt tp see if it has a common ratio;

12/24 = 0.5

6/12 = 0.5

3/6 = 0.5

Using the formula for the nth term of a geometric progression is;

aₙ = arⁿ⁻¹

Where;

a represents the first term = 24

r represents the common ratio = 0.5

Thus, the equation of the function is;

f(n) = 24(0.5)ⁿ⁻¹

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