Harry buys 3 granola bars for $5. Sidnee buys 9 granola bars for $15.What is the constant proportionality?

The population of US is 330 million approx.

A percentage is a figure or ratio that can be stated as a fraction of 100. If we need to calculate the percentage of a number, we must divide it by its full value and then multiply it by 100. As a result, the percentage is one part in one hundred. "Per 100" is short for "per percent." The number "%" is used to symbolize it.

Given

population of new york = 2.727272% population of US

population of new york = 9 million

population of US = 1/2.727272% of new york

population of US =  36.6666 x 90,00,000

population of US = 33,00,00,087.9 = 330 million approx

Hence population of US is approx 330 million.

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Answer:

\(ac - bd\)

Step-by-step explanation:

\(ac - bd \)

The ratio of the number of baskets scored by team A to the number of baskets by team B is 2: 5. Then the correct option is B.

In a basketball game, team B scored 5 baskets for every 2 that team A scored.

The utilization of two or more additional numbers that compares is known as the ratio.

Assume that Team A scored two baskets while Team B netted five.

The problem statement states that for every two baskets Team A scored, Team B scored five. This may be expressed as the ratio shown below:

Ratio = 2x : 5x

Ratio = 2: 5

Thus, the correct option is B.

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Answer:

Option D

Step-by-step explanation:

Measure of adjacent side = 20

Measure of Hypotenuse = 24

Since, measures of adjacent side and Hypotenuse have been given in the question, cosine ratio will be applied to find the measure of angle x.

cos(x) = \(\frac{\text{Adjacent side}}{\text{Hypotenuse}}\)

cos(x) = \(\frac{20}{24}\)

x = \(\text{cos}^{-1}(0.833)\)

  = 33.55°

  ≈ 33.6°

Option D is the answer.

The value of x in the equation -5(1/6-8) = 40 - х + 1/6х is 1

An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other. The algebraic equation usually consists of a variable, coefficients and constants.

The algebraic equation -5(1/6-8) = 40 - х +( 1/6)х has one variable which is x.

Firstly, we open the parentheses

-5/6 +40 = 40-x+(1/6) x

multiplying through by 6

-5+240 = 240-6x +x

collecting like terms

-5+240-240 = -5x

- 5 = -5x

divide both sides by -5

x= -5/-5

x= 1

therefore the value of x is 1

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Answer:

-7x+3

Step-by-step explanation:

Answer:

Step-by-step explanation:10x+15+2+x

11x+17

Step-by-step explanation:

brainliest please

Gain on Residual of Right-of-Use Asset ..................................... 1,500.00

The lease is a finance lease since at least one of the classification criteria is met.

*Present value = Lease payments × PV factor for 3 payments at 10% + (asset and liability) Guaranteed residual value × PV factor for single sum at 10%

= ($47,500 × 2.735537) + ($15,000 × 0.751315)

= $129,938.01 + $11,269.73

= $141,207.74

aThe amount of the capital lease obligation is the PV of the lease payments ($129,938.01) plus PV of the amount expected to be paid due to the residual value guarantee ($3,756.58 = $5,000 × 0.751315)

*Adjusted for $0.01 rounding error

3.

2019

Jan. 1 Right-of-Use Asset ...................................................... 133,694.59

Lease Liability ................................................................................ 133,694.59

1 Lease Liability ............................................................. 47,500.00

Cash ................................................................................................ 47,500.00

Dec. 31 Interest Expense ......................................................... 8,619.46

Lease Liability ................................................................................ 8,619.46

31 Maintenance Expense ............................................. 2,500.00

Property Tax Expense ................................................... 1,000.00

Cash ......................................................................................... 3,500.00

31 Amortization Expense ............................................... 44,564.86

Right-of-Use Asset

[133,694.59 ÷ 3] .......................................................................... 44,564.86

2020

Jan. 1 Lease Liability ............................................................. 47,500.00

Cash ................................................................................................ 47,500.00

Dec. 31 Interest Expense ......................................................... 4,731.41

Lease Liability ................................................................................ 4,731.41

31 Insurance Expense .................................................... 2,500.00

Property Tax Expense .................................................... 1,000.00

Cash ................................................................................................ 3,500.00

31 Amortization Expense ............................................... 44,564.86

Right-of-Use Asset ......................................................................... 44,564.86

2021

Jan. 1 Lease Liability ............................................................. 47,500.00

Cash ................................................................................................ 47,500.00

Dec. 31 Interest Expense ......................................................... 454.54

Lease Liability ................................................................................ 454.54

31 Insurance Expense .................................................... 2,500.00

Property Tax Expense .................................................... 1,000.00

Cash ................................................................................................ 3,500.00

31 Amortization Expense ............................................... 44,564.86

Right-of-Use Asset ......................................................................... 44,564.86

31 Lease Liability ............................................................. 5,000.00

Cash ................................................................................................ 3,500.00

Gain on Residual of Right-of-Use Asset ..................................... 1,500.00

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Answer:

X=5

Step-by-step explanation:

3x+9 is twice of 12 (24). 24-9=15, and 3*5=15, so x=5.

Answer:

Step-by-step explanation:

The value of n in the given equation is 1.

Define Algebraic Expression

In mathematics, an expression that includes variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.)

Given equation,

-1/2 (2n + 4) + 6 = -9 + 4(2n + 1)

Now, solve for n

first, solve the brackets

-1/2 * 2n + (-1/2) * 4 + 6 = -9 + 4*2n + 4 * 1

-n - 2 + 6 = -9 + 8n + 4

Solve the constants on both the sides,

-n + 4 = 8n - 5

Now, take out n value one side and constant terms other side

-n - 8n = -5 - 4

-9n = -9

Cancel out -9 from both the sides,

n = 1

Hence, the value of n in the given equation is 1.

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Answer:

Given that 1minute =3/7of the vessel

let the time taken in minutes to fill the whole of the vessel be' x' minute.

1min =3/7

xmin =whole vessel =1=7/7

=3x/7=1=x=7/3=2.3min=2min.3sec

The correct answer is 3/2. In this case, x = 3/2, and its square, (3/2)^2 = 9/4, is rational. x satisfies the given condition.option (c)

To explain further, we need to understand the properties of rational and irrational numbers.

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a fraction and has non-repeating, non-terminating decimal representations.

In the given options, (a) √5102.0 (£) and (b) √2 are both irrational numbers.

Their squares, (√5102.0)^2 and (√2)^2, would also be irrational, violating the given condition. On the other hand, (d) 4/5 is rational, and its square, (4/5)^2 = 16/25, is also rational.

Option (c) 3/2 is rational since it can be expressed as a fraction. Its square, (3/2)^2 = 9/4, is rational as well.

Therefore, (c) 3/2 is the only option where x is rational, but its square is irrational, satisfying the condition mentioned in the question.

In summary, the number x that satisfies the given condition, where x^2 is irrational but x is rational, is (c) 3/2.option (c)

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Answer:

16:10

4:2.5

64:40

Step-by-step explanation:

hope this helps

Answer:

see explanation

Step-by-step explanation:

given y varies directly as x³ then the equation relating them is

y = kx³ ← k is the constant of variation

to find k use the condition y = 4 when x = 2 , then

4 = k × 2³ = 8k ( divide both sides by 8 )

\(\frac{4}{8}\) = k , that is

k = \(\frac{1}{2}\)

y = \(\frac{1}{2}\) x³ ← equation of variation

The equivalent logarithmic value of the given expression log 3  + log 6 is equal to logarithm of 18.

The expression is equal to,

log 3  + log 6

By using the law of multiplication we have,

Log A + Log B = Log ( A × B )

Using the properties of logarithms, we can simplify the expression and get the equivalent logarithm number ,

Substitute the value of A = 3 and value of B = 6 in the formula we have,

log 3 + log 6

= log (3 × 6)

= log 18

Therefore, the expression log 3 + log 6 is equivalent to the logarithm of 18.

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Answer:

10

Step-by-step explanation:

Answer:

it's the one highlighted in orange

Step-by-step explanation:

I hope this helps with your question :)

The angle from the options given that is shown in the drawing is: D. <LIJ.

An angle is a geometric figure that is formed by two rays that share the same endpoint, called the vertex. The rays are called the sides of the angle, and the endpoint is called the vertex.

In the drawing given,  IJ and LI are two segments that have a common endpoint called vertex I.

Points L, I, and J forms an angle whose vertex is at I, as shown in the image given. Thus, the angle shown in the drawing is: D. ∠LIJ.

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Answer:

Answer vary :

4 1/3

Step-by-step explanation:

Answer:

4 kg

Step-by-step explanation:

so 1.6 * 4 is 6.4 so you just double check if you want

4 + 1.6 which is 1/4 of 6.4 will be 5.6 (matches with the question)

4 + (1.6*4) (indicates it's full) = 10.4( also Matches with the question)

there is another way by setting up an equation. let me know in comments if you want to see it that way

If  tank weighs 5.6kg when it 1/4 filled with water. If it weighs 10.4kg when it is full , then weight when it is empty is 0.93kg

Two or more expressions with an Equal sign is called as Equation.

Given,

A tank weighs 5.6kg when it 1/4 filled with water

Tank weighs 10.4kg when it is full

We need to find the weight when it is empty.​

Let weight of the tank “x” and the weight of the water in the full tank “y”.

From the problem statements, we deduce the following equations:

x + y/4 = 5.6kg => x = 5.6kg - y/4

x + y = 10.4kg => y = 10.5kg - x

y = 10.5kg - (5.6kg - y/4)

3y/4 = 4.9

Thus y = 6.53kg; x = 0.93kg

Hence, weight of the tank when it is empty is 0.93kg.

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Answer:

The growth model that represents the population of this city is not linear--it is exponential:

\(f(t) = 10000( {1.025}^{t} )\)

\(t = 0 \: represents \: 2010\)

Answer:

\(3.4x\le 100\)

Step-by-step explanation:

Given that,

Michael is cutting a 100-yard ribbon into pieces 3.4 yards long.

Michael says that an inequality that represents his project is 3.4x 100.

Let Michael cuts the ribbon in x no of variables. It is given as :

3.4x is the total length of all the pieces together

i.e.

3.4x is less than or equal to 100.

The required equation that represents the given scanario is :

\(3.4x\le 100\)

Answer:

Step-by-step explanation:

Sample Response: The variable, x, is the number of pieces of ribbon Michael cuts. Since each piece is 3.4 yards long, 3.4x is the total length of all the pieces together. This total length cannot be more than the 100 yards of ribbon he has, so 3.4x must be less than or equal to 100.

Answer:

1.43

Step-by-step explanation:

12 tenths ⇒ 1.2

23 hundredths ⇒ 0.23

0.23 + 1.2 = 1.43

The distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.

The bearing is defined as the angle measured clockwise from the north direction. A ship is anchored off a long straight shoreline that runs north and south.

From two observation points miles apart on shore, the bearings of the ship are 52 degrees and 134 degrees respectively. To find the distance from the ship to each of the observation points, we can use trigonometry.

Let's call the distance from the north observation point to the ship x, and the distance from the south observation point to the ship y. The bearings from the north and south observation points can be drawn as follows:

[asy]

unitsize(1cm);

pair O = (0,0), N = (-2,0), S = (2,0), A = (-2,1), B = (2,-1);

draw(O--N--A,Arrow);

draw(O--S--B,Arrow);

\(label("$52^\circ$", N + 0.3*dir(52), NE);\)

\(label("$134^\circ$", S + 0.3*dir(134), SE);\)

draw(O--A--B--cycle,dashed);

\(label("$x$", (N+A)/2, W);\)

\(label("$y$", (S+B)/2, E);\)

[/asy]

We can use the tangent function to find x and y, since we have the angle and opposite side.

From the north observation point, we have:

\($$\tan(52^\circ) = \frac{x}{2}$$$$x = 2\tan(52^\circ) \approx 2.95$$\)

From the south observation point, we have:

\($$\tan(134^\circ) = \frac{y}{2}$$$$y = 2\tan(134^\circ) \approx 9.88$$\)

Therefore, the distance from the north most ship to the observation is 2.9 miles and the distance from the south most ship to the observation is 9.9 miles.

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Step-by-step explanation:

The simplified expression is {3\tan^2\frac{3\pi^c}{4}}

Given:

In a right angle triangle ABC, \(m\angle C=90^\circ , a=4\) and \(\sin A=\dfrac{1}{2}\).

To find:

The length of the hypotenuse.

Solution:

It is given that \(m\angle C\), so opposite side of this angle is the hypotenuse, i.e., c.

In a right angle triangle,

\(\sin \theta=\dfrac{Perpendicular}{Hypotenuse}\)

In the given triangle,

\(\sin A=\dfrac{a}{c}\)

Substituting the given values, we get

\(\dfrac{1}{2}=\dfrac{4}{c}\)

By cross multiplication, we get

\(1\times c=4\times 2\)

\(c=8\)

Therefore, the length of the hypotenuse is 8 units.

Answer:

74

Step-by-step explanation:

-6(-5-4) - 4(-3-2)

30 + 24 + 12 + 8

= 54 + 12 + 8

= 66 + 8

= 74

Multiply the percentage by the total opportunities:

26 x 0.64 = 16.64

You are closing roughly 17 sales per day.

a) The vertex of function 1 is given as follows: (-2.8).

b) The vertex of function 2 is given as follows: (2,5).

c) The function with the larger maximum value is given as follows: Function 1.

The standard definition of a quadratic function is given as follows:

y = ax² + bx + c.

Hence the coefficients for the function 1 are given as follows:

a = -3, b = -12, c = -4.

The x-coordinate of the vertex is defined as follows:

x = -b/2a

Then:

x = -12/6

x = -2.

The y-coordinate of the vertex is given as follows:

f(-2) = -3(-2)² -12(-2) - 4

f(-2) = 8.

The vertex is the turning point of a quadratic function, where it changes from increasing to decreasing or vice versa, hence for function 2 it is given at (2,5).

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