the quotient is and

Answer:

108 inches²

Step-by-step explanation:

Rectangular prism = cuboid

To find how much paper is required to cover the box, we need to find the TSA of the cuboid.

TSA of cuboid = 2 [LB + LH + HB] = 2 [ (3×4) + (3×6) + (4×6) ] = 2 [ 12+18+24 ] = 2 × 54 = 108 inches²

The correct option is- I, IV. Fixed Annuity and Traditional IRA are the plans are  not considered a defined contribution plan.

In contrast, a defined contribution plan does not guarantee a certain level of benefits at retirement. Under these plans, either the employee or even the employer (or both) may make contributions to the owner's individual account under the plan.

Traditional IRA:

An individual retirement account (IRA) of this type allows your income to increase tax-free. Only when you take withdrawals in retirement do you have to pay taxes on the investment earnings.

Fixed Annuity:

A fixed annuity is a financial contract that offers a retirement income stream and guarantees a certain rate of return, such as 2%. You can predict how much your annuity will increase and how much money it will produce by using a set interest rate.

Thus, Fixed Annuity and Traditional IRA are the plans are  not considered a defined contribution plan.

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For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Answer:

x=6,36

Step-by-step explanation:

step 1 : cross multiply

x-3=3.36

x=3.36+3

x=6.36

Answer:

Step-by-step explanation:

Three-fifths or 3/5

Answer:

21 + 12

Step-by-step explanation:

You multiply out the brackets

3 *7=21

3*4=12

21+12=33

Value of variable x in the proportion is 6.

A fraction is used to express a portion of a whole or a ratio of two values. It is a mathematical statement known as a fraction bar or vinculum that has a numerator and a denominator separated by a horizontal line. The denominator is the total number of pieces that make up the whole, whereas the numerator is the number of parts that are being taken into account.

Given proportion;

10/10+x=35/56

Cross multiplying the proportion, we get

10×56=35×(10+x)

Multiplying the values on both side, we get

560=350+35x

Taking 350 on left hand side,

560-350=35x

35x=210

Dividing the equation by 35, we get

x=210/35

x=6

Hence, value of x in the proportion is 6.

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Answer:

(2,-1)

Step-by-step explanation:

We can use substitution to solve this system of equations. Since x is already solved for in the second equation, we can substitute 2y + 4 for x in the first equation:

4(2y + 4) + 2y = 6

Simplifying the left side:

8y + 16 + 2y = 6

Combining like terms:

10y + 16 = 6

Subtracting 16 from both sides:

10y = -10

Dividing both sides by 10:

y = -1

Now that we know y, we can use the second equation to find x:

x = 2y + 4

x = 2(-1) + 4

x = 2

Therefore, the solution to the system of equations is (x, y) = (2, -1).

The correct answer choice is (2, -1).

Answer:

51

Step-by-step explanation:

Hope this helps

180-90-39

La cantidad de dinero que le falta a Ricardo es 8,888 pesos.

Sabemos que Ricardo planea comprar una pantalla plana que cuesta 18,485 pesos por el momento sólo tiene 9,597 pesos, y queremos ver cuanto dinero le falta.

Para ver esto, debemos tomar la diferencia entre el valor de la pantalla plana y la cantidad de dinero que Ricardo tiene, entonces tendremos:

18,485 pesos - 9,597 pesos = 8,888 pesos.

Entonces concluimos que Ricardo necesita 8,888 pesos para la pantalla plana.

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The missing angle is <B= 40 degree and missing side length is AB = 12.25 and AC = 19.068.

To find the missing angle and side measures of ΔABC, we can use the properties of a triangle.

Given:

∠A = 50°

∠C = 90°

CB = 16

We can start by finding the measure of ∠B:

∠A + ∠B + ∠C = 180° (Sum of angles in a triangle)

50° + ∠B + 90° = 180°

∠B + 140° = 180°

∠B = 180° - 140°

∠B = 40°

Now, using Sine law

CB/ sin A = AB / sin C

16 / sin 50 = AB / sin 90

16 / 0.766044 = AB

AB = 12.25

Again 12.25 = AC/ sin B

12.25 = AC / sin 40

AC = 19.068

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Area of small sector is,

⇒ A = 3.28π cm²

And,. Area of large sector is,

⇒ A = 5.73π  cm²

We have to given that;

Angle ACB = 131°

And, radius = 3 cm

Since, We know that;

⇒ Area of sector = θ/360 × πr²

Hence, For θ = 131°

So, Area of small sector is,

⇒ A = 131/360 × π × 3²

⇒ A = 1179/360π

⇒ A = 3.28π cm²

For large sector,

Angle = 360 - 131

          = 229°

Hence, Area of large sector is,

⇒ A = 229/360 × π × 3²

⇒ A = 2061/360π

⇒ A = 5.73π  cm²

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Answer:

b

Step-by-step explanation:

This a very difficult question but im pretty sure its b

The total number of coins that were in Kay's bank are 137 coins.

In order to determine the number of dimes and nickels, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:

Since she has 11 less dimes than nickels, an equation which models this situation is given by;

n = d + 11     ....equation 1.

Note: 1 nickel is equal to 0.05 dollar and 1 dime is equal to 0.1 dollar.

Additionally, the coins are worth 10 dollars;

0.1d + 0.05n = 10 ....equation 2.

By solving both equations simultaneously, we have:

0.1d + 0.05(d + 11) = 10

0.1d + 0.05d + 0.55 = 10

0.15d = 9.45

d = 63 dimes.

For nickels, we have:

n = d + 11

n = 63 + 11

n = 74

Now, we can determine the total number of coins;

Total number of coins = n + d

Total number of coins = 74 + 63

Total number of coins = 137 coins.

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Answer:

$2.1 per pound

Step-by-step explanation:

price/pounds

52.92 / 25 = 2.1

Answer:

Step-by-step explanation:

Answer:

2/9

Step-by-step explanation:

set: 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18 (18 numbers)

factors of 6: 1,2,3,6 (4 numbers)

probabilty that the number is a factor of 6: 4/18 = 2/9

The solution is in the attached file

Answer:

x=26 is the answer

Step-by-step explanation:

Carleigh, Inc. should separate the organ meats from the residual and sell them abroad, as it would increase their total revenue by $17,150 per week.

To determine whether Carleigh, Inc. should separate the organ meats and sell them abroad, we need to calculate the incremental revenue and incremental costs associated with this decision.

The incremental revenue would be the revenue generated from selling the organ meats abroad, which is $52,000 per week. The incremental cost would include the cost of further processing ($27,500 per week), transportation cost ($12,100 per week), and the increase in resource spending for other activities ($3,120 per week).

Therefore, the incremental cost would be $42,720 per week. Subtracting this from the incremental revenue of $52,000, we get an incremental profit of $9,280 per week.

However, this decision would also decrease the value of the residual from $9,800 to $2,650 per week. Therefore, we need to subtract this decrease in value from the incremental profit. This gives us a net increase in profit of $17,150 per week ($9,280 - $7,130).

Thus, it would be beneficial for Carleigh, Inc. to separate the organ meats and sell them abroad.

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Answer: Para encontrar el denominador que falta, podemos utilizar una regla de tres simple. En este caso, queremos encontrar el valor de la segunda fracción, por lo que podemos escribir:

2/7 = 10/x

Para despejar x, podemos multiplicar ambos lados de la ecuación por x y luego dividir por 2:

2/7 * x = 10

x = 10 * 7 / 2

x = 35

Por lo tanto, el denominador que falta en la segunda fracción es 35. La fracción completa es:

2/7 = 10/35

Answer: 2x2 + 1000 x 1000 = 1000004

Step-by-step explanation: you add on 5 0's to the one and 2x2 = 4 so add on the 4 also

Answer:

1000004

Step-by-step explanation:

First we do can separate it into the parentheses: (2*2) + (1000*1000)

= 4 + 1000000

= 1000004

Answer:

0 - 1 - 2 + 3 - 4 + 5 - 6 +7 - 8 + 9 = 3

Step-by-step explanation:

Answer:

4x^2+19x-47

Step-by-step explanation:

(4x^2+8x+15)+(x^2-x-27)-(x-5)(x-7)

=(4x^2+8x+15)+(x^2-x-27)-x^2+7x+5x-35

=(4x^2+x^2-x^2) + (8x-x+7x+5x) + (15-27-35)

= 4x^2+19x-47

Hope this helps!

The given expression after simplifying 4x^2+19x-47.

We have given the following expression

\((4x^2+8x+15)+(x^2-x-27)-(x-5)(x-7)\)

An expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

\(=(4x^2+8x+15)+(x^2-x-27)-x^2+7x+5x-35\)

\(=(4x^2+x^2-x^2) + (8x-x+7x+5x) + (15-27-35)\)

\(= 4x^2+19x-47\)

The given expression after simplifying 4x^2+19x-47.

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9514 1404 393

Answer:

  (x-8)/(4x-4)  x ≠ 1 or 8

Step-by-step explanation:

Common factors can be cancelled, but cannot be ignored when it comes to determining where the function is undefined.

  \(\dfrac{x^2-16x+64}{4x^2-36x+32}=\dfrac{(x-8)^2}{4(x-8)(x-1)}=\boxed{\dfrac{x-8}{4x-4}}\)

The function is undefined for x=1 and x=8, the values of x that make the original denominator zero.

To answer this question, we need to know that the x- and y-intercepts are:

• The x-intercept: (5, 0). The point where the line passes through the x-axis.

• The y-intercept: (0, 3). The point where the line passes through the y-axis.

To find the equation of the line, we can use the two-point form equation of the line, and then we will find the standard form of the line, which is of the form:

We still need to label both points:

• (5, 0) ---> x1 = 5, y1 = 0.

• (0, 3) ---> x2 = 0, y2 = 3.

The two-point form of the line is given by:

Then, substituting these values into this equation, we have:

Then, we have:

This is the slope-intercept form of the line. To find the standard form of the line, we can multiply the equation by 5 as follows:

Adding 3x to both sides of the equation, we have:

Finally, the standard form of the line is given by 3x + 5y = 15.

Eight point seven four three eight

The length of the third side of the triangle, to the nearest hundredth, is approximately 54.75 units.

1. We have a triangle with two known side lengths: 43 and 67 units.

2. The angle included between these sides measures 27 degrees.

3. To find the length of the third side, we can use the Law of Cosines, which states that \(c^2 = a^2 + b^2\) - 2ab * cos(C), where c is the third side and C is the included angle.

4. Plugging in the known values, we get \(c^2 = 43^2 + 67^2\) - 2 * 43 * 67 * cos(27).

5. Evaluating the expression on the right side, we get \(c^2\) ≈ 1849 + 4489 - 2 * 43 * 67 * 0.891007.

6. Simplifying further, we have \(c^2\) ≈ 6338 - 5156.898.

7. Calculating \(c^2\), we find \(c^2\) ≈ 1181.102.

8. Finally, taking the square root of \(c^2\), we get c ≈ √1181.102 ≈ 34.32.

9. Rounding to the nearest hundredth, the length of the third side is approximately 34.32 units.

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second option

Step-by-step explanation:

0.1 : 1 in tenth place

0.01 : 1 in hundredth placs

0.001 : 1 in thousandth placs