What value of p will make this equation true?

6р+4 = 4р – 8
—— ———-
6 3

A. 10 B. -6 C. -1 D. 2

The ratio of lower-level seats to the total seats in the theater is approximately 0.6923. This means that for every 1 seat in the upper level, there are approximately 0.6923 seats in the lower level.

The ratio of lower-level seats to the total seats in the theater can be calculated by dividing the number of lower-level seats by the sum of lower-level seats and upper-level seats. In this case, the theater has 4,500 lower-level seats and 2,000 upper-level seats.

To find the ratio, we add the number of lower-level seats and upper-level seats: 4,500 + 2,000 = 6,500.

Then, we divide the number of lower-level seats (4,500) by the total number of seats (6,500): 4,500 / 6,500 = 0.6923.

Therefore, the ratio of lower-level seats to the total seats in the theater is approximately 0.6923. This means that for every 1 seat in the upper level, there are approximately 0.6923 seats in the lower level.

It's important to note that the ratio is typically expressed in the form of "x:y" or "x/y," where x represents the number of lower-level seats and y represents the total number of seats. In this case, the ratio is approximately 4,500:6,500 or 0.6923:1.

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Answer:

12173

Step-by-step explanation:

    1 21  73      

3 | 365²19

Long division:

Starting from the first digit of the number being divided (i.e. 36519), move along dividing each digit by 3;

If the digit cannot be divided by 3 perfectly, the remainder should be in the next position of value to the next digit in the sequence, so for the above calculation:

First digit is 3, 3/3 = 1, so write the number 1 above;

There is no remainder so simply move to next digit;

The second digit in the number is 6, 6/3 = 2, so write 2 above, next to the previous 1;

Once again, no remainder so move on;

Third digit is 5, 5/3 = 1 with a remainder of 2, so we write 1 above, next to the previous 2 and the remainder of 2 will be placed before the next digit in the number, which is 1;

Understand, this 2 is not to be added to the digit, like 1 + 2, but rather should be added at the next higher position of value (i.e. multiplied by 10), so it will be 1 + 20, which is 21;

Now, we continue as previously, 21/3 = 7, so 7 should be written above, next to the 1;

There is no remainder, so move on;

Last digit is 9, 9/3 = 3 so this written next to the 7 above;

There is no remainder;

There are no more digits and no remainder to deal with so the division is complete;

The number above is the answer.

The quadratic function graphed is defined as follows:

g(x) = -4(x - 1)² + 3.

The quadratic function of vertex(h,k) is given by the rule presented as follows:

y = a(x - h)² + k

In which:

The coordinates of the vertex in this problem are given as follows:

(1,3).

Hence:

g(x) = a(x - 1)² +  3.

When x = 2, g(x) = -1, hence the leading coefficient a is obtained as follows:

-1 = a + 3

a = -4.

Hence the function is:

g(x) = -4(x - 1)² + 3.

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Answer:

No hablo espanol

Step-by-step explanation:

Seriously what are you saying XD

If f: rn → rm is a linear map, then its derivative is simply the map itself. This is because a linear map is a function that preserves vector addition and scalar multiplication.

In other words, if we take two vectors in the domain and add them together, and then apply the linear map, it is the same as applying the linear map to each vector separately and then adding the results. Similarly, if we multiply a vector in the domain by a scalar and then apply the linear map, it is the same as multiplying the result of applying the linear map to the original vector by the same scalar.
Formally, we can express this idea using the concept of a Jacobian matrix. The Jacobian matrix of a function describes the rate at which the function changes near a particular point. For a linear map, the Jacobian matrix is simply the matrix that represents the map. This means that the derivative of f is the matrix A such that f(x) = Ax for all x in rn.
To see why this makes sense, consider the simplest case of a linear map from R1 to R1, given by f(x) = ax, where a is a constant. The derivative of this function is f'(x) = a, which is just the constant coefficient of the linear map. More generally, the derivative of a linear map f: rn → rm is the matrix A such that f(x) = Ax for all x in rn.

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Answer:

=2.

Step-by-step explanation: 1:x−y=9 2:2x+2y=2.  Can i get brainliest?

The equation 3+7+2=+2 is actually not true, but false.

The equation 3+7+2=+2 is actually not true, but false. This is because the sum of 3, 7, and 2 is 12, not 2.

In general, an equation is considered true if the expressions on both sides of the equal sign are equivalent in value. In this case, the expressions on the left-hand side (3+7+2) and the right-hand side (+2) are not equivalent, and therefore the equation is false.

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The system of equation line 1: y=-2x+4 and line 2: y=-2x has no solution.

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

We are given the system of equation as;

line 1: y=-2x+4

line 2: y=-2x

Here we can put x = 1

Then;

y= -2(1) + 4

y = -2 + 4

y = 2

-2x=-2x+4

x = 0

Therefore, we can see that the system of equation has no solution.

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Answer: 222/6=37

Step-by-step explanation:

288-66=222

222/6=37

The maximum monthly profit is $420.  To find the maximum monthly profit, we need to find the production level (X) that will maximize the profit.

We can do this by setting the marginal profit equation equal to zero and solving for X:

p'(x) = -0.4x + 20 = 0
0.4x = 20
x = 50

So, the production level that will maximize the profit is 50 widgets per month.

To find the maximum monthly profit, we need to calculate the total monthly revenue and subtract the fixed cost. The total monthly revenue can be calculated as the product of the price per unit and the number of units sold:

p(x) = -0.2x^2 + 20x
p(50) = -0.2(50)^2 + 20(50) = $500

So, the total monthly revenue is $500.

The maximum monthly profit can now be calculated as:

Profit = Total Revenue - Fixed Cost
Profit = $500 - $80
Profit = $420

Therefore, the maximum monthly profit is $420.

So, the answer is $420.

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\(\frac{11}{13}\) % of a quantity is equal to 0.00846 of the quantity.

A percentage is a figure or ratio that can be stated as a fraction of 100 in mathematics. If we need to determine a percentage of a number, multiply it by 100 and divide it by the total. So, a part per hundred is what the percentage refers to. Percent signifies for every 100. The sign "%" is used to denote it.

When a fraction of a whole is expressed as a number between 0 and 100, it is called a percentage. All of something is 100 percent, half of it is 50 percent, and none of it is 0%.

11/ 13 % of a quantity or 0.846 % of a quantity means

0.846 / 100 = 0.00846

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Answer:

D). Diego is correct because the price of one can of soda multiplied by the number of sodas needed will give you the total cost of the soda.

Step-by-step explanation:

Since every person is expected to drink one can of soda:

Let the price of each can of soda = p

and the total number of people present at the picnic = n

∵ Total price = p(the price of each soda can) * n(number of people)

Thus, Diego correctly asserts that if he multiplies the 'unit price for a can of soda by the number of people attending the picnic', he would be able to deduce the total cost of soda. Hence, Max is incorrect and option D is the correct answer.

Answer:

p=3/5

Step-by-step explanation:

steps are in the picture.

If you need to ask question about it ,i shall gladly give your answer.

Answer:

no it's equal to 3/2 because 2 negatives equal a positive number

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

No, it's not equivalent

Step-by-step explanation:

\(-(\frac{3}{2} ) = 1\frac{1}{2\\}\)

\(-\frac{3}{2} = -1\frac{1}{2}\)

The smallest positive integer that is both multiple of 4 and 7 is 2

In mathematics, multiples are the results of multiplying an integer by a given number.

The given numbers for this problem are 4 and 7. The positive multiples of 4 and 7 will be listed and the first number that appeared in the both multiples s the smallest positive integer that is both a multiple of 7 and a multiple of 4.

The multiples of 4

4 8 12 16 20 24 28 32 36 .......

The multiples of 7:

7 14 21 28 35 42 49 56 63 70 77 84 91 98 .....

The smallest common multiple is 28

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Answer:

100×38

Step-by-step explanation:

Add the 75 and the 25, then that is what you multiply with 38

Using monthly payment formula, the Smith Family's total monthly payment is approximately $2,360.99.

To calculate the total monthly payment for the Smith Family, we need to consider the mortgage payment, insurance, property tax, and HOA fees.

1. Mortgage Payment:

The loan amount is the house price minus the down payment:

$350,000 - $70,000 = $280,000.

To calculate the monthly mortgage payment, we need to determine the interest rate and loan term. Since you mentioned it's a 15-year loan, we'll assume an interest rate of 4% (which can vary depending on market conditions and the borrower's credit).

We can use a mortgage calculator formula to calculate the monthly payment:

M = P [i(1 + i)ⁿ] / [(1 + i)ⁿ⁻¹]

Where:

M = Monthly mortgage payment

P = Loan amount

i = Monthly interest rate

n = Number of months

The monthly interest rate is the annual interest rate divided by 12, and the loan term is 15 years, which is 180 months.

i = 4% / 12 = 0.00333 (monthly interest rate)

n = 180 (loan term in months)

Plugging in the values into the formula:

M = $280,000 [0.00333(1 + 0.00333)¹⁸⁰] / [(1 + 0.00333)¹⁸⁰⁻¹]

Using a calculator, the monthly mortgage payment comes out to be approximately $2,014.99.

2. Insurance:

The monthly insurance payment is given as $66.

3. Property Tax:

The monthly property tax payment is given as $230.

4. HOA Fees:

The HOA fees are stated as $600 per year. To convert this to a monthly payment, we divide by 12 (months in a year): $600 / 12 = $50 per month.

Now, let's add up all these expenses:

Mortgage payment: $2,014.99

Insurance: $66

Property tax: $230

HOA fees: $50

Total monthly payment = Mortgage payment + Insurance + Property tax + HOA fees

Total monthly payment = $2,014.99 + $66 + $230 + $50

Total monthly payment = $2,360.99

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a) The first 4 terms of the sequence n + 5 are 6, 7, 8, and 9. The 10th term is 15.

b) The first 4 terms of the sequence 2n - 1 are 1, 3, 5, and 7. The 10th term is 19.

a) n + 5

The given sequence is n + 5. We can find the first 4 terms by substituting the values of n from 1 to 4.

Then we can find the 10th term by substituting n = 10.

1st term = n + 5 = 1 + 5 = 6

2nd term = n + 5 = 2 + 5 = 7

3rd term = n + 5 = 3 + 5 = 8

4th term = n + 5 = 4 + 5 = 9

10th term = n + 5 = 10 + 5 = 15.

So, the first 4 terms of the sequence n + 5 are 6, 7, 8, and 9. The 10th term is 15.

b) 2n - 1.

The given sequence is 2n - 1. We can find the first 4 terms by substituting the values of n from 1 to 4. T

hen we can find the 10th term by substituting n = 10.

1st term = 2n - 1 = 2(1) - 1 = 1

2nd term = 2n - 1 = 2(2) - 1 = 3

3rd term = 2n - 1 = 2(3) - 1 = 5

4th term = 2n - 1 = 2(4) - 1 = 7

10th term = 2n - 1 = 2(10) - 1 = 19.

So, the first 4 terms of the sequence 2n - 1 are 1, 3, 5, and 7. The 10th term is 19.

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Answer:

h = 6/5     h =-2

Step-by-step explanation:

|5h+2|=8

An absolute value equation has a positive and a negative solution

5h+2=8        5h+2=-8

Subtract 2 from each side

5h+2-2=8-2        5h+2-2=-8-2

5h = 6                  5h = -10

Divide by 5

5h/5 = 6/5            5h/5 = -10/5

h = 6/5                         h =-2

Answer:

See below

Step-by-step explanation:

\(\displaystyle \frac{(4-\sqrt{3})(4+\sqrt{3})}{\sqrt{13}}\\\\=\frac{16-3}{\sqrt{13}}\\\\=\frac{13}{\sqrt{13}}\\\\=\frac{13}{\sqrt{13}}\cdot\frac{\sqrt{13}}{\sqrt{13}}\\\\=\frac{13\sqrt{13}}{13}\\\\=\sqrt{13}\)

Note that \((4-\sqrt{3})(4+\sqrt{3})=4^2-\sqrt{3}^2=16-3=13\) is a difference of squares

Answer:

32

Step-by-step explanation:

Answer:

it is 32

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

25  =     x

20           16

(25*16)/20 = 20

The divergence theorem states that the surface integral of the divergence of a vector field over a closed surface is equal to the triple integral of the divergence of the vector field over the volume enclosed by the surface

we are given the vector field F = (11x, 2y, \(z^{2}\)) and the surface S defined by the equation \(x^2 + y^2 + z^2\)= 1, which represents a unit sphere.

To evaluate the surface integral ∬S F · ds using the divergence theorem, we first need to calculate the divergence of the vector field F. The divergence of F, denoted as ∇ · F, is given by the sum of the partial derivatives of the components of F with respect to their corresponding variables. Therefore, ∇ · F = ∂(11x)/∂x + ∂(2y)/∂y + ∂(z^2)/∂z = 11 + 2 + 2z.

Applying the divergence theorem, the surface integral ∬S F · ds is equal to the triple integral ∭V (∇ · F) dV, where V represents the volume enclosed by the surface S.

Since the surface S is a unit sphere centered at the origin, the triple integral ∭V (∇ · F) dV can be evaluated by integrating over the volume of the sphere.

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Answer:

3.3%

Step-by-step explanation:

compound interest: A = Pe^(rt)

A = 534.46

P = 450

t = 5

534.46/450 = e^(5r)

e^(5r) = 1.18

lne^(5r) = ln 1.18

(5r)lne = ln1.18

ln1.18 = 5r

5r = 0.165

r = 0.033

or 3.3%

Answer:

I would just rewrite it as -6r^2 + 6r

The kennel's height is known to be a certain value is W = 65 / \([(1/2)H^2]\)

To determine the width of the kennel, we need to use the given information about the kennel's height and the ratio between height and length.

Let's break down the information provided:

For every 2/3 of a foot in the kennel's height, there is 3/4 of a foot in the kennel's length.

The total volume of the kennel is unknown.

The kennel's height is unknown.

Let's solve this step by step:

Let's assign variables to the unknown values:

Let H be the kennel's height (in feet).

Let L be the kennel's length (in feet).

Let W be the kennel's width (in feet).

Based on the given ratio, we can express the length L in terms of the height H:

L = (3/4) * (2/3) * H = (1/2)H

The volume of a rectangular box is calculated by multiplying its length, width, and height. We are given that the total volume of the kennel is cubic feet, so we can set up the following equation:

L * W * H = 65

Substitute the expression for L from step 2 into the volume equation:

(1/2)H * W * H = 65

Simplify the equation:

\((1/2)H^2\) * W = 65

Rearrange the equation to solve for the width W:

W = 65 / \([(1/2)H^2]\)

Given that the kennel's height is known to be a certain value (you didn't provide this information), you can substitute it into the equation to find the width of the kennel.

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The equation to predict how many hours, x, the second part of the trip will take is :x = (total distance - distance traveled in the first part) / average speed x = (125 - 75) / 50  x = 1

To predict how many hours, x, the second part of the trip will take, we can use the equation:

x = (total distance - distance traveled in the first part) / average speed

In this case, the total distance of the trip is 125 miles, and the distance traveled in the first part is the product of the average speed and the time taken for the first part, which is 50 miles/hour * 1.5 hours = 75 miles.

Substituting these values into the equation, we have:

x = (125 - 75) / 50

Simplifying the equation, we get:

x = 50 / 50

x = 1

Therefore, the equation to predict how many hours, x, the second part of the trip will take is:

x = (total distance - distance traveled in the first part) / average speed

x = (125 - 75) / 50

x = 1

This means that the second part of the trip will take 1 hour to complete after the bus stops to refuel.

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