Solve.
5/8+3/4 _______. -2/3-5/6

Answer:

No {false}

Step-by-step explanation:

All congruent figures are similar, but not all similar figures are congruent. (It is like a theory, don't forget it)

The input (x) that satisfies the condition of being multiplied by 6 and then Subtracted by 80 to give the same value as the output is 16.

The input as "x." According to the given information, the input (x) is multiplied by 6 and then subtracted by 80, resulting in the output. In mathematical terms, this can be expressed as:

Output = (6 * x) - 80

The problem states that the input and output are the same. Therefore, we can set up the equation:

x = (6 * x) - 80

To solve for x, we'll rearrange the equation and isolate the variable:

x - 6 * x = -80

Combine like terms:

-5 * x = -80

Divide both sides by -5:

x = (-80) / (-5)

Simplifying the division:

x = 16

Hence, the input (x) that satisfies the condition of being multiplied by 6 and then subtracted by 80 to give the same value as the output is 16.

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Answer:

1- 1.25

2- 0.8

3- 2.5

4- 0.4

Step-by-step explanation:

Hope this helps

The mechanical advantage of the given machine is 40, Velocity ratio is 80 and efficiency is 0.5.

The given question is concerned with finding the mechanical advantage, velocity ratio and efficiency of a weight lifting machine.

The problem has provided the following information:

Weight of the object, W = 1 kN = 1000 NEffort applied, E = 25 NHeight through which the object is lifted, h = 100 mm = 0.1 m Distance through which the effort is applied, d = 8 m

We know that, mechanical advantage = load/effort = W/E and velocity ratio = distance moved by effort/distance moved by the load.Mechanical advantage

The mechanical advantage of the given machine is given by; Mechanical advantage = load/effort = W/E= 1000/25= 40Velocity ratioThe velocity ratio of the given machine is given by;

Velocity ratio = distance moved by effort/distance moved by the load.= d/h = 8/0.1= 80EfficiencyThe efficiency of the given machine is given by;

Efficiency = (load × distance moved by load) / (effort × distance moved by effort)Efficiency = (W × h) / (E × d)= (1000 × 0.1) / (25 × 8)= 0.5

Therefore, the mechanical advantage of the given machine is 40, velocity ratio is 80 and efficiency is 0.5.

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The net present value of the project of the company Alpha Industries is $494,918.

Given,

The initial cost of the project = $7.9 million

Cost of debt = 5.58 percent

Cost of equity = 11.25 percent

The debt-equity ratio= .59

Tax rate = 40 percent.

Let us assume

Equity be $x, then

Total = $1.59x

Respective weights =  Pretax cost of debt × (1 - tax rate)

=5.58% × (1 - 0.4)

Respective weights = 3.348%

WACC = Respective costs × Respective weights

WACC = (x ÷ 1.59x × 11.25%) + (0.59x ÷ 1.59x × 3.348)

WACC = 8.318%

The present value of annuity = Annuity × (1 - (1 + interest rate)^ - time period] ÷ Rate

=1.63 × [1 - (1.08317811321)^-7]÷ 0.08317811321

= $1.63 × 5.150256501

The present value of annuity = $8,394,918.10

The net present value = The present value of  cash inflows - The present value of cash outflows

= $8,394,918.10 - $7,900,000

The net present value of the the project = $494,918

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Answer:

Hope the picture will help you

Please check the image below to understand some common place values.'

Now, for our number:

Shown below is the image of the place value of the number [2,405,008.097]:

Answer:

\(y = 0.04\)

Step-by-step explanation:

\(y\) ∝ \(\frac{k}{x}\) (k is a constant we need)

\(12 = \frac{k}{20}\)

\(k = 0.6\)

\(y = \frac{0.6}{15}\)

\(y=0.04\)

Answer:

x = 11

Step-by-step explanation:

Angle CAB = 33 degrees (Z-figure)

Angle ACE = 180 degrees (line), therefore angle ACB = 180 - 5x.

Sum of all angles in the triangle should equate to 180 degrees.

Now the sum is of all angles in triangle ABC is:

CAB + ABC + ACB = 33 + (180 - 5x) + 2x = 213 - 3x

So 213 - 3x should equal 180.

213 - 3x = 180 <=> -3x = -33 <=> x = 11

The values of {m} that is greater than 4.6 represent the solution of the given inequality.

An inequality is used to compare two or more expressions or numbers.

For example -

2x > 4y + 3

x + y > 3

x - y < 6

The given inequality is -

5m - 7 > 16

Adding 7 on both sides, we get -

5m - 7 + 7 > 16 + 7

5m > 23

m > 23/5

m > 4.6

Therefore, the values of {m} that is greater than 4.6 represent the solution of the given inequality.

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The inverse of a matrix A is A^-1. And I, the identity matrix, is equal to A.A^-1.

The square matrix needs to be non-singular and have a non-zero determinant value in order to get the inverse matrix. Let's think about the 2 x 2 square matrix A.

Inverse of  matrix:

A^(-1)=Adj A/|A|

A-1 stands for Inverse of Matrix for matrix A. There is a straightforward formula for calculating the inverse of a 2 × 2  matrix. In order to find the inverse of a matrix of order 3 or higher, we also need to be aware of the matrix's determinant and adjoint. When multiplied by the provided matrix, the other matrix that serves as the inverse of that matrix yields the multiplicative identity.

There are two ways to find a matrix's inverse. Through the use of an adjoint of a matrix and simple processes, it is possible to derive the inverse of a matrix. Row or column transformations can be used to carry out the basic operations on a matrix. Additionally, the adjoint and determinant of the matrix can be used to apply the inverse of matrix formula in order to get the inverse of a matrix.

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Answer:

the answer is 70%

Step-by-step explanation:

if all equals 100% and theres 10 pounds that means 7 pounds is eaqual to 70%

The x ≤ 5 means , Jon can buy at most 5 packets of milk

The middle value of a data , calculate by sum of all the data points to the number of data points is called the mean.

The amount between $2 and $10 is A  $8

an amount between $10 and $20 is B  $15

What is an amount greater than $50  C$65

What is your name :  D John

What is the name of an item that you will buy only once E : White Chocolate

What is the name of an item that you will buy more than once? (F) Milk

John is going shopping for White Chocolate and  Milk. The cost of White Chocolate is $15 and the cost of each packet of milk is $8 .If John can spend at most $65. how many milk packet can be purchased

Let x represents the number of milk packet

The inequality that can be formed is

8 x + 15 ≤ 65

A = 8 , B = 15 ,  C = 65

8x ≤ 40

x ≤ 5.

The inequality is plotted on the graph , as the data can be anything below and equal to 5 , it is represented by a shaded region.

The x ≤ 5 means , Jon can buy at most 5 packets of milk.

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The inverse of the function → f(x) = 2x + 5  is → f⁻¹(x) = (x/2) - (5/2).

Inverse of a function can be calculated by following the steps mentioned below -

According to the question, the equation given is as follows

y = f(x) = 2x + 5

y = 2x + 5

Replace 'y' with 'x', we get -

x = 2y + 5

Now, solve for y -

2y = x - 5

y = (x/2) - (5/2)

Replace 'y' with f⁻¹(x) -

f⁻¹(x) = (x/2) - (5/2)

Hence, the inverse of the function → f(x) = 2x + 5  is → f⁻¹(x) = (x/2) - (5/2).

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Answer:

x-2/1

X+3/1

x+1/1

x-11/1

Step-by-step explanation:

just put over 1 in the bottom for all the equation

Answer:

The better buy is to buy 10 kilograms of potatoes at $ 3.92, since each kilogram costs $ 0.392.

Step-by-step explanation:

To find the cost per unit in each case and then state which is the better buy, the following calculations must be performed:

6kg of potatoes for $ 2.45:

2.45 / 6 = 0.408

15 kg of potatoes for $ 5.9:

5.90 / 15 = 0.393

10 kg of potatoes for $ 3.92:

3.92 / 10 = 0.392

Thus, the better buy is to buy 10 kilograms of potatoes at $ 3.92, since each kilogram costs $ 0.392.

Answer:

0.9 cubic centimeters

Step-by-step explanation:

Answer: 3/4 + 7/12 - (-4) = 3/4 + 7/12 + 4 (two minuses make a plus)

3/4 + 7/12 + 4/1 = 9/12 + 7/12 + 48/12           (4 = 4/1 or 4 divided by 1)  

(to add the fractions the denominators need to be the same. Multiply both the denominator and numerator by the same number)

(9+7+48)/12 = 64/12 = 5 and 1/3 or 16/3

We can also get this answer by leaving the 4 as a whole number:

9/12 + 7/12 +4 = 16/12 + 4 = 1 and 1/3 + 4 = 5 and 1/3

If you put the sum in a calclator you also get 5 and 1/3.

Hope this helps :)

The number of grams of cocoa is 50.9 grams

This is the mass of an object

Since we have that a chocolate bar contains 53% cocoa and the weight of the chocolate bar is 96 grams.

Let

So, we have that

x = pW

Given that

Substituting the values of the variables into the equation, we have that

x = pW

x = 0.53 × 96 grams

x = 50.88

x ≅ 50.9 grams

So, the number of grams of cocoa is 50.9 grams

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Answer:

x = 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

4x + 1 = 5x - 2

-4x       -4x

1 = x - 2

+2    +2

3 = x

Answer:

3 + 0.25x

Step-by step answer:

1. add like terms inside the bracket 8+4=12

2. divide each term in bracket by 4

12/4 = 3

x/4 = 0.25x

Answer:

Step-by-step explanation:

1/4(8+4+x)=

1/4(12+x)=

3+ x/4

Since f and m are parallel lines, the statement of corresponding angles confirms that <2 and <3 are congruent.

Cooresponding angles are this:

Answer:

1$

Step-by-step explanation:

We have proven that from ten distinct two-digit numbers, one can always choose two disjoint nonempty subsets so that their elements have the same sum.

What is a disjoint set?

Two sets are said to be disjoint when they have no common element. If a collection has two or more sets, the condition of disjointness will be the intersection of the entire collection should be empty.

To prove that from ten distinct two-digit numbers, one can always choose two disjoint nonempty subsets so that their elements have the same sum, we can consider the following two sets:

Set A: The first five two-digit numbers, in order from smallest to largest.

Set B: The last five two-digit numbers, in order from smallest to largest.

Since the ten two-digit numbers are distinct, we know that the numbers in Set A and Set B are also distinct. Therefore, Set A and Set B are disjoint nonempty subsets.

The sum of the elements in Set A is equal to the sum of the elements in Set B. This can be seen by considering the fact that the sum of the first five two-digit numbers is equal to the sum of the last five two-digit numbers.

Therefore, we have proven that from ten distinct two-digit numbers, one can always choose two disjoint nonempty subsets so that their elements have the same sum.

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Answer:

307.88

Step-by-step explanation:

the answer is D : 4

According to the problem statement, one side of the rectangle is of length 5 cm. The other side can have any length greater than 4 cm (since the area of the rectangle should be greater than 4 cm^2).

Let's call this other side "x".

We know that the area of a rectangle is given by the formula A = l*w, where l is the length and w is the width.

Therefore, we can write the equation: 5*x = A, where A is the area of the rectangle.

We can also say that the area of the square and the rectangle is equal to 4 cm^2.

If we call the side of the square "y", then we can write the equation: y^2 = 4 cm^2.

Solving for y, we get: y = 2 cm.

Therefore, the length of the rectangle that can be cut into a square and a rectangle of area 4 cm^2 is 5 cm - y = 5 cm - 2 cm = 3 cm.

So, there are 4 possible rectangles that can be cut into a square and a rectangle of area 4 cm^2: (5,3), (3,5), (6,4), and (4,6).

So the answer is D : 4

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Answer:

Step-by-step explanation:

It’s not clear what you’re referring to by “surveying”. However, here are some questions that you can ask yourself while reading to help you better understand what you’re reading1:

the x-coordinate of the point that is 2/5 of the way from V to W on this line segment is approximately 8.08.

A coordinate is a number or set of numbers that specifies the position of a point in a space. Coordinates are used to describe the position of objects in various mathematical systems, including two-dimensional and three-dimensional Euclidean spaces, as well as non-Euclidean spaces like spherical or hyperbolic geometries.

by the question.

The x-coordinate of the point that is 2/5 of the way from V to W can be found by first determining the x-coordinate of the point that is 2/5 of the way from V to W and then using the formula for finding the x-coordinate of a point on a line given its y-coordinate.

To find the point that is 2/5 of the way from V to W, we need to first find the distance between V and W. Using the distance formula:

d =\(\sqrt{11-(-4)^{2} }\) + (2 - \((-4)^{2}\)) = \(\sqrt{225+36}\)= \(\sqrt{261}\)

Then, the distance between V and the point we're looking for is (2/5) * \(\sqrt{261}\), and the distance between the point we're looking for and W is (3/5) * \(\sqrt{261}\).

To find the x-coordinate of the point we're looking for, we can use the formula:

x = (distance from V to point we're looking for)/ (total distance) * x

coordinate of W + (distance from point we're looking for to W)/(total distance) * x-coordinate of V.

Substituting the values, we found:

x = (2/5 *\(\sqrt{261}\))/\(\sqrt{261}\)) * 11 + (3/5 * \(\sqrt{261}\))/\(\sqrt{261}\)) * (-4) = 8.08

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Answer:

A) 0.99413

B) 0.00022

Step-by-step explanation:

A) First of all let's find the total grading time from 6:50 P.M to 11:00 P.M.:

Total grading time; X = 11:00 - 6:50 = 4hours 10minutes = 250 minutes

Now since we are given an expected value of 5 minutes, the mean grading time for the whole population would be:

μ = n*μ_s ample = 42 × 5 = 210 minutes

While the standard deviation for the population would be:

σ = √nσ_sample = √(42 × 6) = 15.8745 minutes

To find the z-score, we will use the formula;

z = (x - μ)/σ

Thus;

z = (250 - 210)/15.8745

z = 2.52

From the z-distribution table attached, we have;

P(Z < 2.52) ≈ 0.99413

B) solving this is almost the same as in A above, the only difference is an additional 10 minutes to the time.

Thus, total time is now 250 + 10 = 260 minutes

Similar to the z-formula in A above, we have;

z = (260 - 210)/15.8745

z = 3.15

P(Z > 3.15) = 0.00022