how do u solve these two equations ??

a + 2b = 4
3a + b = 7

ANSWER

EXPLANATION

We want to divide the polynomial:

by:

To do this, we use the long division method:

Therefore, the answer is:

with a remainder of:

Answer:

\(d^{2} - 9d + 54 - \frac{332}{d+6}\)

Step-by-step explanation:

Hope this helps! :))
please let me know if its incorrect

Answer: 200 video games and 275 software programs for a maximum profit of $45,625

Step-by-step explanation:

475 - 200 = 275

200 times 125 = 25000

275 times 75 = 20625

Maximum profit per week = $45,625

Answer:

9 students

Explanation:

Every 8th person that entered the cinema received a free ticket.

The number of students who entered in the first hour = 76.

The first person given a ticket was the 8th person.

To calculate the number of persons who received a free ticket, we can view this problem as an arithmetic sequence in which:

• The first term = 8

• The last term = 76.

• The common difference (every 8th person) = 8.

Using the formula for the last term of an arithmetic sequence, we have:

Our goal is to find n, the number of students.

Since the number of students that entered in the first hour is not more than 76, we have that:

9 students received a free ticket.

Answer:

1*2(3-2n) = 2(n-2)

Thanks for giving question. I am working my way up to brainliest and Master Answerer

Step-by-step explanation:

mondey balance 104.24$

Tuesday balancs -23.99$

value = 104.24+23.99=128.23$

Answer:

Step-by-step explanation:

since they say that there are the 3 parallelograms, and that the two small ones are also part of the bigger one.. then HJ and FG are parallel lines and there fore  ∠2 ≈ ∠3

:)

Answer: 5.306mL

Step-by-step explanation:

0.14 + 3.7 + 1.466 = 5.306mL

I hope this helped!

Answer:

x = 2

Step-by-step explanation:

The numbers that are equivalent to three and two ninths are:

twenty-nine ninths

The given fraction in words "three and two ninths" is writen in figures as

3 2/9 this is a mixed fraction

Writing the fraction an improper fraction

three and two ninths = 29/3

Writing the fraction in decimal

three and two ninths = 3.222222 where 2 is repeating

converting to percent

3.2222 * 100 = 322.22 where 2 is repeating

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2.75,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

The function f has the property injective. (D)

An injective function is also known as a one-to-one function, which means that for every unique output, there is a unique input.

In this case, the function f maps the single element in the domain {1} to the single element in the codomain {1}, and there is only one possible output for the single input, so it is injective.

It does not have the properties of being increasing, decreasing, strictly increasing, strictly decreasing, or surjective because the function is a constant function mapping the single element in its domain to the single element in its codomain.

As a result, it does not change in value and cannot be classified as increasing or decreasing. Additionally, it is not surjective because the codomain contains one element that is not mapped to by the function.

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The number of pages that were sent or received beyond the 40 page limit under the plan was 70 pages.

Given that an online fax company, EFaxlt.com, has a customer plan where a subscriber pays a monthly subscription fee of $12.75 dollars and can send/receive 40 fax pages at no additional cost. For each page sent or received past the 40 page limit, the customer must pay an overage fee of $0.06 per page.

Let p be the number of pages that were sent or received beyond the 40 page limit under the plan. Thus, the total number of pages sent or received within the plan is (40 + p).Since the monthly bill under this plan comes out to be $16.47, the total cost, in dollars, to send p pages beyond the plan's monthly limit is given byC = 0.06p + 12.75= $16.47Therefore,0.06p + 12.75 = 16.47Solve for p,0.06p = 16.47 - 12.750.06p = 3.72p = 3.72/0.06p = 62

Therefore, the number of pages that were sent or received beyond the 40 page limit under the plan was 70 pages (p + 40)

The total number of pages that were sent or received beyond the plan's monthly limit was 70 pages.

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Explanation:

Let's expand out (2 - 7i)(a + bi) using the FOIL rule

(2 - 7i)(a + bi) = 2a + 2bi - 7ai - 7bi^2

(2 - 7i)(a + bi) = 2a + 2bi - 7ai - 7b(-1)

(2 - 7i)(a + bi) = 2a + 2bi - 7ai + 7b

(2 - 7i)(a + bi) = (2a+7b) + (2bi-7ai)

(2 - 7i)(a + bi) = (2a+7b) + (2b-7a)i

We're told the result is purely imaginary. What this means is that the real part (2a+7b) is zero, while the imaginary part (2b-7a) is nonzero. If both are zero, then we have 0+0i = 0 which is purely real.

For example, the complex numbers 0-7i and 0+2i are purely imaginary.

Let's use the fact that 2a+7b must be zero to do the following steps:

2a+7b = 0

2a = -7b

a = -7b/2

a/b = -7/2 which is the final answer

We must check to see if 2b-7a is nonzero

2b - 7a = 2b - 7(-7b/2)

2b - 7a = 2b + 24.5b

2b - 7a = 26.5b

The result is nonzero if and only if b is nonzero. Luckily we're told b is nonzero at the top of the problem. So we don't have any worries that (2b-7a) is zero.

Therefore, (2a+7b) + (2b-7a)i will be purely imaginary with a/b = -7/2

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

A concrete example:

Let a = -14 and b = 4

a/b = -14/4 = -7/2

(2-7i)(a+bi) = (2-7i)(-14+4i) = 0 + 106i which is purely imaginary.

I'll let you do the steps in expanding that out using the FOIL rule.

Answer:

This is what it would look like. Hope this helps!

The system of equations is:

x + y = 10

4x + 3y = 36

The solution is x = 6 and y = 4.

A)

Let's define the variables:

We can write the system of equations:

x + y = 10

4x + 3y = 36

Isolate x on the first equation to get:

x = 10 - y

Replace that in the other one:

4*(10 - y) + 3y = 36

40 - 4y + 3y = 36

40 - y = 36

40 - 36 = y

4 = y

And thus, the value of x is:

x = 10 - y = 10 - 4 = 6

They bought 6 cheese wafers and 4 chocolate ones.

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Answer:

To compare 2 2/3 to another mixed number, you need to convert both mixed numbers to improper fractions.

To convert 2 2/3 to an improper fraction, you need to multiply the whole number (2) by the denominator of the fraction (3), and then add the numerator (2). This gives you:

2 2/3 = (2 x 3) + 2/3 = 6 + 2/3 = 20/3

Now that you have the improper fraction for 2 2/3, you can compare it to the improper fraction of another mixed number.

For example, if you want to compare 2 2/3 to 4 1/2, you would convert 4 1/2 to an improper fraction:

4 1/2 = (4 x 2) + 1/2 = 8 + 1/2 = 17/2

Now that you have both mixed numbers as improper fractions, you can compare them by finding a common denominator and then comparing the numerators. In this case, the common denominator is 6, so you need to multiply 17/2 by 3/3 to get:

17/2 = (17 x 3)/(2 x 3) = 51/6

Now you can compare 20/3 and 51/6 by looking at their numerators:

20/3 = 6.666...

51/6 = 8.5

So 2 2/3 is less than 4 1/2.

Answer:

\(\huge\boxed{\sf 1}\)

Step-by-step explanation:

f(x) = 3x - 4

Put x = 3

f(3) = 3(3) - 4

f(3) = 9 - 4

Also,

g(x) = x²

Put x = 2

g(2) = (2)²

Subtract Eq. (2) from Eq. (1)

= 5 - 4

\(\rule[225]{225}{2}\)

Answer:

F(3) -g(2) = 1

Step-by-step explanation:

F(3)= 3(3) -4= 5

g(2)= \(2^{2}\) = 4

f(3) -g(2)= 5-4 =1

The probability that it is not raining if the flight leaves on time is 0.9.

Let's define the events:

A: It is raining

B: The flight is delayed

We have,

P(A) = 0.19 (probability that it will rain)

P(B) = 0.1 (probability that the flight will be delayed)

P(A ∩ B) = 0.07 (probability that it will rain and the flight will be delayed)

Using the formula for conditional probability, we have:

P(A' | B') = P(A' ∩ B') / P(B')

Since A' and B' are complementary events (if it's not raining, then the flight is leaving on time), we can rewrite the formula as:

P(A' | B') = P(B' | A') x P(A') / P(B')

We know that P(A) + P(A') = 1, so P(A') = 1 - P(A).

Now, let's substitute the given values into the formula:

P(A' | B') = (P(B' | A') x (1 - P(A))) / P(B')

P(B' | A') represents the probability that the flight is leaving on time given that it's not raining.

We know that:

P(B') = 1 - P(B) = 1 - 0.1 = 0.9

we can estimate P(B' | A') as:

P(B' | A') ≈ P(B') = 0.9

Now we can substitute the values into the formula:

P(A' | B') ≈ (0.9 x (1 - 0.19)) / 0.9

P(A' | B') ≈ 0.81 / 0.9

P(A' | B') ≈ 0.9

Therefore, the probability that it is not raining if the flight leaves on time is 0.9.

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Answer:

Step-by-step explanation:

1. Each point moves 3 times as far from the origin as it was.

2. Each point moves to 1/3 its previous distance from the origin.

3. Each point moves twice as far from (2, 2) as it was.

1. Each point moves 3 times as far from the - 1

i. The wind power is calculated to be approximately 10.44 MW.

ii. The mechanical power that could be achieved by the wind turbine rotor is approximately 9.58 MW.

iii. The electrical power output of the wind turbine is approximately 8.77 MW.

To determine the wind power, we need to use the formula: P_wind = 0.5 * ρ * A * V^3, where ρ is the air density, A is the swept area of the turbine rotor, and V is the wind speed. Given the air flow rate and speed, we can calculate the wind power to be approximately 10.44 MW. The mechanical power that could be achieved by the wind turbine rotor is calculated by multiplying the wind power by the power coefficient, which is the maximum possible efficiency of the wind turbine according to the Lanchester-Betz limit. In this case, the mechanical power is approximately 9.58 MW. Finally, the electrical power output of the wind turbine is determined by considering the efficiencies of the gear, generator, and electric system. By multiplying the mechanical power by the product of these efficiencies, we can find the electrical power output, which is approximately 8.77 MW. Overall, based on the given data and the mentioned efficiencies, the wind power is converted into mechanical power by the rotor and further into electrical power by the generator and other components of the wind turbine system.

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Let's begin by listing out the information given to us:

slope-intercept form of the equation of the line is given by:

Answer:

Current speed is 40mph

Step-by-step explanation:

We firstly need to know what is intended by upstream and downstream. When the boat travels in the direction of the current (horizontal movement of the water), we say it is moving downstream otherwise it is moving upstream.

Let's assume the speed of the boat is A and that of the current is B, then the speed when it moves dowstream would be A + B and the speed if it moves upstream would be A – B.

In this question, we know that the speed of the boat is 40mph. Given that it takes the same time to travel 8miles upstream as it does to travel 24miles downstream, we have

Speed upstream = 8/t

Speed downstream = 24/t

Respectively.

Let speed of current be X, then

Speed downstream = 40 + X

Speed upstream = 40 – X

From the question we have:

(40 + x)/24 = (40 – X)/8

(40 + x)/3 = (40 – x)/1

3(40 – x) = 40 + X

120 – 3x = 40 – X

120 – 40 = 3x – X

2x = 80

X = 40.

Therefore, current speed is 40mph

My answer is 5.2.30am I am not Paris Paris I'm thankful to 6.30am I am not

Answer:

7

Step-by-step explanation:

Step-by-step explanation:

Since,

\(60\%25 = 15\)

Another equation that equals 15 is

\(25 \times 0.6 = 15\)

Answer:

A

Step-by-step explanation:

espero que mi respuesta ayude

hope my answer helps

Answer:

The answer for this equation is 2x⁶.

Step-by-step explanation:

In order to solve the equation, you have to Take out the Constants.

\( \frac{20}{10} {x}^{4} {x}^{2} \)

Now you have to Simplify 20/10 to 2 because 10 divided by 20 is 2.

\( {2x}^{4} {x}^{2} \)

And now you have to Use the product rule:

\( {x}^{a} {x}^{b} = {x}^{a + b} \)

\(2x ^{4 + 2} \)

and lastly, you have to simplify 4 + 2 to 6.

\( {2x}^{6} \)

Therefor, the answer for this equation is 2x⁶.

Answer:

i have questine

Step-by-step explanation:

Answer:

For this problem, multiply these fractions.

First, make each one an improper fraction: 2 4/5 is the same as 14/5 and 2 3/7 is the same as 17/7.

Now, 14/5 times 17/7 yields 238/35 which reduces to 34/5. This may be expressed also as the mixed fraction 6 4/5.

So, the shipment contains 6 4/5 tons of sugar. (This is also equal to 13,600 pounds of sugar.)