Which expressions are equivalent to 4(4a+5)?

Choose 3 answers

A.16a+5

B.16a+20

C.12a+20+4a

D.2(8a+10)

E.16a+5+4

Answer:

(cross multiply)

2:3

16:X

2X=16×3

2x=48

x=48÷2

x=24

We are given the equation:

25 - b² = 4b

it can be simplified into the following:

b² + 4b - 25 = 0

In this simplified equation, we can see that it is very similar to the general form of a quadratic equation [ax² + bx + c = 0]

Therefore, we can say that the given equation is Quadratic

Answer:

x = 14.5°

Step-by-step explanation:

A+D = 180°

(8x-11) + (5y+2) = 180°

simplify:

5y + 8x = 189°

5y = 189 - 8x

D = B

(5y+2) = (4x+17)

simplify

5y = 4x + 15

then:

189 - 8x = 4x + 15

12x = 174

x = 14.5°

5y = 4(14.5) + 15

5y = 73

y = 14.6

check:

5(14.6) + 8(14.5) = 189

73 + 116 = 189

189 = 189

The bus that is the most consistent, given the data collected on travel times to school from two groups of students is C Bus 18, with a range of 10

To determine which bus is the most consistent, we should use the interquartile range (IQR) as the measure of variability. The IQR measures the spread of the middle 50% of the data, which makes it less sensitive to outliers compared to the range.

Bus 47:

Median (Q2): 16

Q1: 10

Q3: 22

IQR = Q3 - Q1 = 22 - 10 = 12

Bus 18:

Median (Q2): 12

Q1: 8

Q3: 18

IQR = Q3 - Q1 = 18 - 8 = 10

Bus 18 has a smaller IQR than Bus 47 (10 vs. 12), which means the travel times for Bus 18 are more consistent.

Note: Figures might be different due to options being for different variant but Bus 18 is the most consistent.

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Answer:

40 percent.

Step-by-step explanation:

Two-fifths is the same as 4/10, which is the same as 40/100. Since percentages are a part of 100, 40/100 is 40 percent.

The correct percentage that is equivalent to 2/5 would be 40%.

Used the concept of percentage of a number which states that,

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating the hundredth part of any quantity is called a percentage.

Given that the equivalent number is 2/5.

Let us assume that the percentage form of equivalent number = x

Hence, it can be written as,

x% = 2/5

x/100 = 2/5

Cross multiplying,

5x = 2 × 100

5x = 200

Divide 5 on both sides,

x = 200/5

x = 40

Therefore, 40% is equivalent to 2/5.

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Therefore , the solution of the given problem of circle comes out to be arc length 3.93 feet.

Every area of the plane that is separated by a specific amount from this additional point makes a circle (center). As a result, it is a curve made up of spots that are separated from one another on the surface. Additionally, it rotates similarly about the centre at every angle. Every collection of endpoints in the confined, two-dimensional sphere of a circle is uniformly spaced apart from the "centre."

Here,

A circle with a radius of 3 feet is equal to its diameter as follows:

=> C = 2πr = 2π(3) = 6π feet

Since there are 360° of angles in a circle's centre, the angle for a 75° curve is:

5/24 of a complete circle is 75/360.

Therefore, the 75° arc's extent is

5/24 × 6π = 5π/4 ≈ 3.93 feet

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The area of the dish, a, can be represented by the product of its length and width. Thus, we can write:

a = (279/10) cm x (178/10) cm

Simplifying this expression, we get:

a = 4953/100 cm^2

So, the correct equations are:

B) 178/10 x 279/10 = a

and

D) a ÷ 178/10 = 279/10

Answer:

-x-x-0.7

is equivalent to 1-2x-1.7

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

Rhys will have to pay £6 interest after the first year.

To calculate the interest, we can use the formula:

Interest = Principal x Rate

Where:

Principal = £200

Rate = 3% = 0.03 (in decimal form)

So, the interest Rhys will have to pay after the first year is:

Interest = £200 x 0.03 = £6

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Answer:

y = -2x + 9

Step-by-step explanation:

Let's start from the -2x, the slope is -2. The x is basically what says, this is the slope. The plus nine is the y-intercept. If you think in graph terms (which is how you solve this problem) you will see that on the y-axis the line will intercept at the 9. The every x integer it goes down it goes that times two. For example, if you go sideways 1 spot, the line will be at y=11.

The correct option b. Debit Accounts Payable $1,000; Credit Cash $980; Credit Merchandise Inventory $20, is the required journal entry for Toys R Fun.

For the stated question;

Toys R Fun is offered a discount of two percent if he settles within 10 days as well as the payable is required in 30 days, as indicated by the terms "2/10,n/30."

$20 (2 percent of $1,000) is the result.

On the 17th, which falls inside the discount days, the payment for the journal entry for Toys R Fun is:

$1,000 - Dr. Accounts Payable

Cr money - $980

$20 worth of Cr inventory.

Let's say, however, that the payment is made by December 30 rather than that day.

The submission will be:

$1,000 Dr. Accounts Payable.

$1,000 cash in Cr.

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The complete question is-

On Dec. 7, Toys R Fun purchased $1,000 of merchandise with terms of 2/10,n/30. If payment is made on December 30, demonstrate the required journal entry for Toys R Fun to record the payment under the perpetual inventory system.

a. Debit Cash $1,000; Credit Accounts Payable $1,000

b. Debit Accounts Payable $1,000; credit Cash $980; credit Merchandise Inventory $20.

c. Debit Accounts Payable $1,000; credit Cash $1,000

Answer:

93,600

Step-by-step explanation:

4x104= 416

416x225 = 93,600

The speed of the butterfly travelling is 30 miles per hour as given on the graph G.

For F, the slope is 150/25 = 6 so this is false

For G, the slope is 150/5 = 30, this is true.

For H, the slope is 25/150 = 1/6, This is false

For J, th slope is 5/150 = 1/30, this is also false.

Thus, the correct answer is option G.

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Full Question:

See attached image

Answer:

99% Confidence Interval = (5.824,6.036)

Step-by-step explanation:

The coffee and soup machine at the local subway station is supposed to fill cups with 6 ounces of soup. Ten cups of soup are bought with results of a mean of 5.93 ounces and a standard deviation of .13 ounces. Construct a 99 percent confidence interval for the true machine-fill amount.

The formula for confidence interval

= Mean ± z × σ/√n

Mean of 5.93 ounces

Standard deviation of .13 ounces.

n = 10 cups

z= z score of 99% confidence interval = 2.58

Confidence Interval =

5.93 ± 2.58 × 0.13/√10

5.93 ± 2.58 × 0.0411096096

Confidence Interval = 5.93 ± 0.106

= 5.93 - 0.106

= 5.824

= 5.93 + 0.106

= 6.036

Hence, Confidence Interval = (5.824,6.036)

The required solution for the inequality a + 5 > -7 is (-12, ∞).

Inequality shows relation between two expression which are not equal to each others.

The given inequality is,

a + 5 > -7

To find the solution for the inequality,

Simplify the inequality,

a + 5 > - 7

a > - 7 - 5

a > -12

The value of a is greater than -12, implies that,

The solution for the value of the given inequality is (-12, ∞).

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A (i think)

Step-by-step explanation:

Answer:

196 miles

Step-by-step explanation:

if he goes 140 miles with 5 gallons, each gallon lets him go 28 miles.

140miles/5gallons=28miles/1gallon

then 7 gallons lets you go 196 miles

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Uri paid a total of $85.47 for the landscaping service including tax and tip.

Taxes are compulsory payments made by a government organisation, whether local, regional, or federal, to people or businesses. Tax revenues are used to fund a variety of government initiatives, such as Social Security and Medicare as well as public infrastructure and services like roads and schools. Taxes are borne by whoever bears the cost of the tax in economics, whether this is the entity being taxed, such as a business, or the final users of the items produced by the firm. Taxes should be taken into consideration from an accounting standpoint, including payroll taxes, federal and state income taxes, and sales taxes.

Given that company charged $74 for the service plus 5% tax.

The tax is 5%, that is:

Tax = 5% of $74 = 0.05 x $74 = $3.70

Cost after tax = $74 + $3.70 = $77.70

Now, tip is 10%:

Tip = 10% of $77.70 = 0.10 x $77.70 = $7.77

Total cost = $77.70 + $7.77 = $85.47

Hence, Uri paid a total of $85.47 for the landscaping service including tax and tip.

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Answer:

$0.48

Step-by-step explanation:

2.40/5 = 0.48

Answer:

Step-by-step explanation:

Answer:

Width=85. Length=185. Area=15,725

Step-by-step explanation:

540/2=270, which is the sum of length+width.

270-15=255, so what's left is width+width+width.

255/3=85.

85*2=170

170+15=185

85*185=15,725

For the forecasting process to be effective, internal data should be highly disaggregated

Predicting the future based on historical and current facts is the forecasting process. The most popular method for doing this is trend analysis. It is typically ideal to use internal data that is significantly disaggregated for forecasting to be successful. This means that rather than aggregating or summarizing the data at a high level, it should be broken down into as much detail as feasible.

Since highly disaggregated data presents a more complete and precise picture of the variables that may impact future events, forecasting can be done more accurately and dependably. This can include information about previous sales, manufacturing rates, inventory levels, costs, and other elements that can be important for forecasting. Whereas, using highly aggregated data can lead to less accurate and reliable forecasts, as it may not capture the full range of factors that may influence future outcomes.

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Answer:

x>=3 make the inequality false

Step-by-step explanation:

4x-2x<12-6

2x<6

x<3

Answer:

Any number higher than 3

Ex. 4, 5, 6, 7, 8, 9, 10, etc

Step-by-step explanation:

4x + 6 < 2x + 12

-2x        -2x

---------------------

2x + 6 < 12

      -6    -6

------------------

2x < 6

÷2   ÷2

-----------

x < 3

Since x is less than 3, any number higher than 3 will make the inequality false. For Ex. 4

4(4) + 6 < 2(4) + 12

16 + 6 < 8 + 12

22 < 20 (false)

I hope this helps!

The equivalent expression to  4√3 is  √48 or 6.928.

An equivalent expression is an expression that has equal value to the original given expression.

From the given expression, we can determine its equivalent expression as follows;

The given expression = 4√3

We can square 4 and multiply it by 3 and enclose all with the square root.

4√3 = √(4² x 3 )

= √ ( 16 x 3 )

= √ ( 48 )

= 6.928

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Answer:

miles = 48(2/15)

miles = 96/15

miles = 6.4 miles

Step-by-step explanation: your welcome

Answer:

At the same rate, how many miles would he run in 48 minutes. --- miles/time = miles/time miles/48 min = 4 mi/30 min ---- miles = 48 ...

Step-by-step explanation:

The coordinates of the vertices for the image of the pre image is translated 4 units right are: ’(-1, 2), B’(5, 3), and C’(1, 0).

Translation on the coordinate plane is sliding a point or figure in any direction without any changes in size or shape.

During translation, the coordinates of the vertices of a figure or point change, and they slide left or right, up, or down without changing size or shape.

Given the question above, we need to find the coordinates of the vertices for the image of the pre image that are translated 4 units right.

So,

\(\rightarrow\sf \boxed{\boxed{-5+4=1=\bold{(-1,2)}}}\)

\(\rightarrow\sf \boxed{\boxed{1+4=5=\bold{(5,3)}}}\)

\(\rightarrow\sf \boxed{\boxed{-3+4=1=\bold{(1,0)}}}\)

Thus, the coordinates of the vertices for the image of the pre image is translated 4 units right are: ’(-1, 2), B’(5, 3), and C’(1, 0).

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This causes the volume of the balloon to decrease, leading to an increase in the number of collisions between gas particles and the inside surface of the balloon, and causing the balloon to shrink and shrivel up.

Temperature is a measure of the average kinetic energy of the particles in a substance or system. In other words, it is a measure of how hot or cold something is relative to a standard reference point. The SI unit of temperature is the kelvin (K), but temperature is often measured in degrees Celsius (°C) or Fahrenheit (°F) in everyday life. Temperature plays a crucial role in many natural and man-made processes, and is a key factor in determining the behavior of matter at different states.

Here,

When a sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 K, the gas particles inside the balloon lose thermal energy and slow down. As the temperature drops, the average kinetic energy of the gas particles decreases, causing them to move slower and collide less frequently. This results in a decrease in pressure inside the balloon.

According to the Ideal Gas Law, PV = nRT, where P is the pressure of the gas, V is its volume, n is the number of moles of gas, R is the gas constant, and T is the temperature in Kelvin. As the pressure inside the balloon decreases, its volume also decreases, since the number of moles of gas and the gas constant remain constant.

Since the balloon is sealed, the gas particles cannot escape, so they continue to collide with each other and the inside surface of the balloon. As the volume of the balloon decreases, the gas particles become more crowded, increasing the number of collisions between them. This leads to a decrease in the distance between the gas particles and the inside surface of the balloon, causing the balloon to shrink and shrivel up.

In summary, when a sealed, inflated balloon is placed into a flask of liquid nitrogen at a temperature of 77 K, the gas particles inside the balloon lose thermal energy, slow down, and collide less frequently, resulting in a decrease in pressure inside the balloon.

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El número "Novecientos mil cuatrocientos ochenta y nueve" se representa como 900,489 en notación numérica.

Por otro lado, el número "cuarenta mil dos" se representa como 40,002.

Si estamos buscando determinar cuál de estos dos números es mayor, podemos comparar las cifras en cada posición.

Comenzando desde la izquierda, el primer dígito de 900,489 es 9, mientras que el primer dígito de 40,002 es 4.

Dado que 9 es mayor que 4, podemos concluir que 900,489 es mayor que 40,002.

En general, al comparar números, se debe observar cada posición en orden de mayor a menor importancia.

Esto significa que el primer dígito a la izquierda es el más significativo y tiene más peso en el valor total del número.

Si los dígitos en la posición más significativa son iguales, se debe pasar a la siguiente posición hasta que se encuentre una diferencia.

En este caso, dado que el primer dígito de 900,489 es mayor que el primer dígito de 40,002, no es necesario comparar los dígitos en posiciones posteriores.

Por lo tanto, podemos concluir que el número "Novecientos mil cuatrocientos ochenta y nueve" (900,489) es mayor que "cuarenta mil dos" (40,002).

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Answer:

$27

Step-by-step explanation:

\( \frac{3}{4} (20) + \frac{3}{5} (20) = 15 + 12 = 27\)