Joana's printer can print 96 black and white pages in 4 minutes. If the ratio of pages printed to minutes is constant, how many minutes will it take the printer to print 240 pages

Answer:

x = 17.9

Step-by-step explanation:

\(3x-24=29.7\\ Distribution Property\\\\3x=53.7\\\\Adding 24 to both sides\\\\x=17.9\\Divide by 3 to both sides\\\\Hope this helps:)\\\)

\(\text {Hello! Let's Solve this Equation!}\)

\(\text {The First Step is to Multiply 3 in the Parentheses:}\)

\(\text {3*x=3x}\\\text {3*8=24}\)

\(\text {Your new Problem is: 3x-24=29.7}\)

\(\text {The Next Step is to Add 24:}\)

\(\text {3x-24+24=29.7+24}\\\text {=53.7}\)

\(\text {Your new Problem is: 3x=53.7}\)

\(\text {The Final Step is to Divide 3:}\)

\(\text {3x/3=53.7/3}\)

\(\text {Your Answer would be:}\)

\(\fbox {x=17.9}\)

\(\text {Best of Luck!}\)

We see that since they are congruent triangles, their corresponding sides are also equal.

-> 2x + 1 = x + 3.
-> x + y = 3x - 3y

From the first equation, we can solve for x ;

2x + 1 = x + 3

Minus both sides by 1 :

2x = x + 2

Finally, minus both sides by x :

x = 2.

We substitute the value of x = 2 into the second equation :

2 + y = 6 - 3y

Add both sides by 3y :

2 + 4y = 6

Solve for y : 4y = 4 -> y = 1.

Answer:

10

Step-by-step explanation:

substitute a = 2 and e = 4 into the expression

3a + e

=  3(2) + 4

= 6 + 4

= 10

Answer:

-10 feet below the surface of the pool

Step-by-step explanation:

An integer is simply a whole number that can be positive, negative, or zero.

Now, we are told that A dive ring on the bottom of the pool is 10 feet below the surface of the water.

Going down the surface of the pool is a negative distance while going upwards is positive.

Thus, the integer to represent this is;

-10 feet below the surface of the pool

Answer:

The answer is A

Step-by-step explanation:

Because it's square all of the sides will be equal so 18*18=324. Hope this helps.

Answer:

7

Step-by-step explanation:

ΔABM and ΔDCM

4x - 1 = 3x + 6

4x - 3x = 6 + 1

x = 7

Answer:

C. 7

Step-by-step explanation:

Find the diagram to the question attached. Two congruent triangles has all its sides to be equal. This means that the sides of ΔABM will be equal to that of ΔDCM (SSS rule).

Given

BM = 3x+6

MC =4x-1

Since both triangles are congruent, then BM = MC

Next is to get x;

3x+6 = 4x-1

collect like terms'

3x-4x = -1-6

-x = -7

multiply through by -1

-(-x) = -(-7)

x = 7

Hence the value of x that will make triangles ABM and DCM congruent is 7

Answer:

To determine the percentage decrease in W when x is decreased by 9.75%, we need to first determine the relationship between w and x. Since w is proportional to the square root of x, we can write an equation to represent this relationship as follows:

w = k * √x

where k is the proportionality constant.

If the value of x is decreased by 9.75%, we can write the new value of x as follows:

x' = x * (1 - 0.0975) = x * 0.9025

Substituting this expression for x' into the equation above, we get:

w' = k * √(x * 0.9025)

To determine the percentage decrease in w, we can divide the new value of w by the original value of w and multiply by 100% to get the percentage change, or:

percentage decrease in w = (w' / w) * 100%

Substituting the expressions for w' and w into this equation, we get:

percentage decrease in w = [(k * √(x * 0.9025)) / (k * √x)] * 100%

Simplifying this expression, we get:

percentage decrease in w = (√(0.9025)) * 100%

Since the square root of 0.9025 is approximately 0.95, we can say that the percentage decrease in w is approximately 5%. This means that the value of w decreases by approximately 5% when the value of x decreases by 9.75%.

Answer:

50; 25; 105

Step-by-step explanation:

Sum of the angles of triange is 180, so we have 2x + x + 2*2x + 5 = 180 (x is number of degrees of second angle), if I understood word 'twice' correctly.

Next, let me solve this:

2x + x + 4x + 5 = 180

7x + 5 = 180

7x = 175

x = 25

So, second angle is 25 degrees, first is 25*2=50 degrees and third is 50*2+5=105 degrees.

Hope that this was helpful.

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

n=5, -5

Answer:

\(n=\frac{3i\sqrt{22}-2}{-8}\)

Step-by-step explanation:

\((2-8n)^2=-198\)

\(\sqrt{(2-8n)^2} =\sqrt{-198}\)

\(2-8n=i\sqrt{198}\)

\(2-8n=3i\sqrt{22}\)

\(-8n=3i\sqrt{22} -2\)

\(n=\frac{3i\sqrt{22}-2}{-8}\)

I hope this helps!

Answer:

x= -11

Step-by-step explanation:

2x-5+5=x-11

2x=x-11

x=-11

Question:

James has 14,500g of sand in his sandbox. He brings home another 7,400g of sand from the beach to add to his sandbox. How many kilograms of sand does James have in his sandbox now?

Answer:

The quantity of sandbox James has is 21.9kg

Step-by-step explanation:

Given

Initial quantity of sandbox = 14,500 g

Additional quantity = 7,400 g

Required

Total quantity of sandbox in kg

Tp get the total quantity of sandbox, we simply add in the initial and additional quantity of sandbox together;

This is represented mathematically as follows;

Total = Initial Quantity + Additional Quantity

Total = 14,500 g + 7,400 g

Total = 21,900 g

But the question says the answer should be in kg

1000 g is equivalent to 1 kg

21,900 g will be equivalent to \(\frac{21,900}{1,000} kg\)

\(21,900g = \frac{21,900}{1,000} kg\)

\(21,900g = 21.9 kg\)

Hence, the quantity of sandbox James has is 21.9kg

Answer:

176

Step-by-step explanation:

Apply PEMDAS

Solve the parenthesis first

11 ( 7 + 9 )

11 ( 16 )

Now open the parenthesis and you will have your answer

11 times 16

176

Answer:

29

Step-by-step explanation:3*10=30

1*1=1

30-1=29

To begin solving this problem, we need to determine the dimensions of the rectangular region that the farmer will fence in. Let's say the length of thr uses, is given by the equation:
e rectangle is L and the width is W. The perimeter of the rectangle, which will be the length of fencing the farme
2L + W = 350

Solving for W, we get:

W = 350 - 2L

Next, we need to divide the rectangular region into three smaller rectangles by placing two parallel fences. Let's say the two fences are placed along the length of the rectangle, dividing it into three sections with widths of x, y, and z. Therefore, we have:

L = x + y + z

Now, we can determine the area of the entire fenced-in region by summing the areas of the three smaller rectangles. The area of a rectangle is given by the equation:

Area = Length x Width

Therefore, the total area of the fenced-in region is:

Area = (xW) + (yW) + (zW)

Substituting W = 350 - 2L and L = x + y + z, we get:

Area = (x(350-2(x+y+z))) + (y(350-2(x+y+z))) + (z(350-2(x+y+z)))

Simplifying this equation, we get:

Area = 350(x+y+z) - 2(x^2 + y^2 + z^2)

To maximize the area, we need to take the derivative of this equation with respect to one of the variables (x, y, or z), set it equal to zero, and solve for the variable. This process is too complicated to do by hand, so we will use a calculator or computer program to find the maximum area.

After finding the maximum area, we can determine the dimensions of the region that give us this maximum area. We do this by using the equations we derived earlier:

W = 350 - 2L

L = x + y + z

With the maximum area and these equations, we can solve for the dimensions of the region that give us the maximum area.

In summary, the farmer should fence in a rectangular region with dimensions that maximize the total area of three smaller rectangles created by placing two parallel fences. The maximum area can be found by taking the derivative of the area equation and setting it equal to zero. The dimensions of the region that give us the maximum area can be found by using the equations we derived earlier.

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Answer:

CE = 21.2

Step-by-step explanation:

CE = CD + DE = 14 + 7.2 = 21.2

Answer:

SAS

Step-by-step explanation:

So, 1−x represents the percent of original price being paid as we know that if percentage is given in decimal form, then to get the percent of original.

The decimal number framework has 10 digits which range from 0 to 9 with the base 10 and transformation from paired to decimal can assist us with better figuring out the compound parallel numbers. The decimal numeral framework is the standard framework for meaning number and non-whole number numbers. It is the augmentation to non-whole number quantities of the Hindu-Arabic numeral framework. The approach to meaning numbers in the decimal framework is frequently alluded to as decimal documentation. Numerous numeral frameworks of antiquated civilizations utilize ten and its powers for addressing numbers, perhaps on the grounds that there are ten fingers on all fours began counting by utilizing their fingers. Models are first and foremost the Egyptian numerals, then the Brahmi numerals, Greek numerals, Hebrew numerals, Roman numerals, and Chinese numerals.

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The result of an average of more than 100% in a survey of tenants on cleaning chores in shared apartments is likely due to social desirability bias.

The average tenant response of more than 100% in a study about cleaning duties in shared apartments is probably the product of social desirability bias. Social desirability bias occurs when respondents give answers that they think are socially acceptable or desirable, rather than their true opinions or behavior.

In this case, tenants may have overstated their contribution to cleaning the apartment, in order to appear more helpful or responsible, leading to an average percentage higher than 100%.

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The maximum number of guesses necessary to guess correctly a given number between the numbers n and m can be determined by using a binary search algorithm.

In a binary search, you repeatedly divide the search space in half based on whether the target number is greater or smaller than the midpoint. This process continues until the target number is found.

The maximum number of guesses required can be calculated by determining the number of times you need to divide the search space in half until you narrow down to the correct number. This can be expressed as the logarithm (base 2) of the size of the search space.

If the size of the search space (m - n + 1) is a power of 2, the maximum number of guesses will be log2(m - n + 1). Otherwise, if the size of the search space is not a power of 2, the maximum number of guesses will be ⌈log2(m - n + 1)⌉.

Note that this assumes a worst-case scenario where the target number is at the most distant end of the search space. In practice, the actual number of guesses required may be lower if the target number is found earlier during the search process.

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Answer: 2

Step-by-step explanation:

We can list out their factors

10:1,2,5,10

6:1,2,3,6

Both have the same factors of 2.

Answer: 2

Step-by-step explanation:

since the factors or 10 are 5 and 2

and the factors of 6 are 3 and 2

then 2 must also be a common factor of the other numbers

The study conducted by the Gallup News Service, asking 1,004 adults about their level of concern regarding global warming, is a cross-sectional study.

The study conducted by the Gallup News Service, where 1,004 adults were surveyed and asked about their level of concern regarding global warming, can be categorized as a cross-sectional study. In a cross-sectional study, data is collected at a specific point in time from a sample of individuals or units from a population. In this case, the survey gathered information from a group of adults at a particular time to understand their level of concern regarding global warming.

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The true statement is that An integer programming solution can be better than the linear programming solution to the same problem. So, option(b) is right one.

In integer linear programming is harder than linear programming, because the branch-and–bound method requires many iterations of the simplex method, integer programming problems, So, option(a) is false one.

Hence, required answer is option(b).

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Complete question :

which of the following statements is true? group of answer choices

a) in general, it is no more difficult to solve an integer programming model than a linear programming one.

b) an integer programming solution is better than the linear programming solution to the same problem rounding does not necessarily.

c) provide feasible solutions and feasible solutions from rounding are not necessarily optimal.

d) all of these answers

a) Contribution (objective value) = $132.14

b) The firm earns $132.14 at the optimal solution.

c) An additional hour of time available for the third machine is worth $0.14 to the firm.

d) An additional 5 hours of time available for the second machine will increase the objective value by $3.69.

The best result obtained from using computer software to solve the LP problem is: X1 = 11.43, X2 = 12.86, X3 = 5.71

b) The number of unused hours at the ideal solution is:

Machine 1 still has 8.57 hours of time left.

There are no hours left on Machine 2 at the moment.

There are still 94.29 hours left on Machine 3.

c) The shadow price of the third limitation is worth an extra hour of time available for the third machine. With the exception of increasing the right-hand side of the third constraint by one unit, we can solve the LP problem using the same constraints to determine the shadow price. Using LP to solve this issue, we discover that the shadow price for the third constraint is

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Answer:

The choice C) y = - 3x + 13

Step-by-step explanation:

\(6x + 2y = 26 \\ 2y = 26 - 6x \\ \\ y = \frac{26 - 6x}{2} \\ \\ \\ y = \frac{26}{2} - \frac{6x}{2} \\ \\ \\ y = 13 - 3x\)

y = - 3x + 13

I hope I helped you^_^

Answer:

C

Step-by-step explanation:

6x + 2y = 26 ( subtract 6x from both sides )

2y = - 6x + 26 ( divide terms by 2 )

y = - 3x + 13 → C

Check the picture below.

so let's check the middle of the picture, inscribed angle "b" is intercepting the purple arc, wait a second!!! angle 22° is intercepting the same arc! ahaaa!.

now let's check the right of the picture, inscribed angle "a" is intercepting that brown arc, wait a second!!! angle 45° is intercepting the same arc!! ahaa!!.

well, you can see what's "c" and "d".