Given that a:b = 5:4 and b/c = 7:3 find: a:b:c

By taking the 20 percent of £85 and adding that to the base salary, we can see that last week Brett earned £95

Here we need to work with percentages. We know that Brett wins a commission of 20% of sales.

So, if he sells a total amount of A (A is in dollars). Then what he gets is:

0.2*A

Where 0.2 is the decimal form of 20%.

Here we know that Brett wins £78 as a base, and last week he sell a total of £85, then the amount he gets by the commission is:

0.2* £85 =  £17

Adding that to the base he already earns each week, we get:

£78 +  £17 =  £95

In this way, we conclude that last week Brett earned £95

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Answer:

20 coins

Step-by-step explanation:

20x10 =200 so that is 20 is 10% of 200

Answer:

i don't know╰_╯

Step-by-step explanation:

Answer:
28cx2m−12cx+12c−35x2m+15x−15

Step-by-step explanation:

Answer:

It's best to use the completing the square method to solve a quadratic when the coefficient of the squared term is 1 and the coefficient of the linear term is even.

Answer:

A: -5x + 5

Step-by-step explanation:

(-2x + 9) - (3x - 4)

-2x + 9 - 3x - 4

= -5x + 5

So, the answer is A: -5x + 5

subtract 22 from 27 the results is=5

When ab = 0, the zero-product property tells us that at least one of the factors (a or b) must be zero in order for the equation to hold true.

We are given that ab = 0, where a and b are variables or numbers.

According to the zero-product property, if the product of two factors is equal to zero, then at least one of the factors must be zero.

In our case, we have ab = 0. This means that the product of a and b is equal to zero.

To satisfy the condition ab = 0, at least one of the factors (a or b) must be zero. If either a or b is zero, then when multiplied with the other factor, the product will be zero.

It is also possible for both a and b to be zero, as anything multiplied by zero gives zero.

Therefore, based on the zero-product property, we can infer that either a = 0 or b = 0 when ab = 0.

In summary, when ab = 0, the zero-product property tells us that at least one of the factors (a or b) must be zero in order for the equation to hold true.

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Answer:

7r is the correct answer

Step-by-step explanation:

7 x 8 = 56

Answer:

7 : 210

Step-by-step explanation:

ratio of teachers : students

= 210 : 3300 ← divide both parts by 30

= 7 : 210

7 : 110

Divide both sides by 30,

210 : 3300

= (210 / 30) : (3300 / 30)

= 7 : 110

The ratio of teacher to the student is 7 : 110

Answer:

B

Step-by-step explanation:

Answer:

{s | s < 90}

Step-by-step explanation: Took test

If you went to college and earned a four-year degree, then 70% more money would you expect to earn each year than if you did not graduate from high school.

The pursuit of a college education is such a crucial life goal that it has taken center stage in the "American Dream." Attend college, secure a career, purchase a home, and start a family. Even if it isn't usually that easy, it all begins with your college education.

According to a study conducted across the country and released by the State Higher Education Executive Officers Association (sheeo.org), the average pay for high school graduates is close to $30,000. Graduates with a bachelor's degree typically make a little over $50,000 per year.

The average annual salary for those with higher level degrees (master's, doctoral, or professional) is also close to $70,000. This results in a sizable wage discrepancy over the course of a person's lifetime.

Hence, if you went to college and earned a four-year degree, then 70% more money would you expect to earn each year than if you did not graduate from high school.

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Answer:

cool

Step-by-step explanation:

Answer:

C. is proportional.

Step-by-step explanation:

Answer:

70 feet

Step-by-step explanation:

If the miniature model has size of 1 inch, the real statue will be 10 feet in size. So if the model is 7 inch in size, the real statue will be 70 feet in size.

The surface areas of the pyramids are listed below:

In this problem we find six cases of square pyramids, whose surface areas shall be found by means of the following formulas:

A = 4 · 0.5 · b · s + b²

Where:

Now we proceed to determine the surface area of the square pyramid:

Case 1:

A = 4 · 0.5 · (5 in) · (10 in) + (5 in)²

A = 125 in²

Case 2:

A = 4 · 0.5 · (8 ft) · (15 ft) + (8 ft)²

A = 304 ft²

Case 3:

A = 4 · 0.5 · (10 yd) · (16 yd) + (10 yd)²

A = 420 yd²

Case 4:

A = 4 · 0.5 · (3 yd) · (8 yd) + (3 yd)²

A = 57 yd²

Case 5:

A = 4 · 0.5 · (8 in) · (17 in) + (8 in)²

A = 336 in²

Case 6:

A = 4 · 0.5 · (4 ft) · (11 ft) + (4 ft)²

A = 104 ft²

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Cylindrical shape.

To model the volume of the cut tree, the appropriate geometric shape is a cylinder.

This is because a cylinder's volume is equal to the product of the base's area and the height of the cylinder,

which can be determined by the length of the equal sections of the tree trunk.

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Answer:

y= -x+1

y=4x_14

solution

-x+1=4x-14

-x-4x= -14-1

-5x= -15

-5x/-5= -15/-5

x=3

while y=4x-14

y=4(3)-14

y=12-14

y= -2

I would implement a random sampling approach to determine the rate of smoking among teenagers.

Simple random sampling is a form of probability sampling in which a selection of participants is chosen at random from a population. Each person in the population has an equal probability of getting chosen. The data is then collected from as big a percentage of this random selection as feasible.

The Simple Random Sampling method is a dependable way of gathering information in which every member of a population is picked at random, purely by chance.

Random sampling guarantees that the findings received from your sample are close to those obtained if the full population was surveyed. The simplest random sample gives each unit in the population an equal probability of being chosen.

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Answer:

Slope: 19/4

y-intercept: 1.75

Step-by-step explanation:

19x-4y=7

To find the slope and y-intercept, change the order of the equation to put it in y-intercept form. (y-intercept form: y=mx+b). Where m equals slope and b is the y-intercept.

In order to do this, Subtract 19x from both sides of the equation to equal:

This equation can also equal out to:

Now, divide each side by -4

This will mean that 19/4 is the slope and 1.75 is the y-intercept

Answer:

A = 90.25π

Step-by-step explanation:

Area of a circle = \(\pi r^2\)

r = 9.5

A = 90.25π

Answer:

\(\pi \times 9.5 {?}^{2} \)

Using the information provided in the table, The total holding cost is  $547.50, the total setup cost is $600 and the total cost is  $1,147.50.

To develop a POQ (Periodic Order Quantity) solution use a lot-for-lot solution, which means that we will order exactly what we need for each period.

The missing values can be found on the attached table.

From the table, the total holding cost which is the sum of the holding costs for all periods is $547.50 while the total setup cost which is the sum of the setup costs for all periods is $600.

Therefore, the total cost is the sum of the holding cost and the setup cost and it is calculated as $1,147.50.

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Antonio's mother gives him 4$ allowance plus 25¢ for each chore he completes each week. He completed 12 chores last week.Antonio earned a total of $7 last week.

Antonio's mother gives him 4$ allowance plus 25¢ for each chore he completes each week. Let's say he completed C number of chores last week.According to the given statement, Antonio's allowance can be calculated as follows;Antonio's allowance = $4Antonio's reward for completing chores = 25¢ per chore ∴ Total reward for C chores = 25 C¢We know that $1 = 100¢∴ Total reward for C chores = (25 C)/100$Adding his reward for completing chores to his allowance will give us his total earning in the given week.

Therefore,Total earning = Antonio's allowance + Total reward for completing chores⇒ Total earning = $4 + (25 C)/100Now, we can simply replace C with 12 as he completed 12 chores last week.⇒ Total earning = $4 + (25 × 12)/100⇒ Total earning = $4 + 3⇒ Total earning = $7.

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Answer:

63 with 3 left over

Step-by-step explanation:

381/6=63.5

63x6=378

378+3=381

The inverse Laplace transform of F(s) is:

\(f(t) = e^(-t)\)

To find the inverse Laplace transform of each function, we need to express them in terms of known Laplace transforms. Here are the solutions for each function:

a)

\(F(s) = \large{\frac{2e^{-0.5s}}{s^2-6s+9}}\)

To find the inverse Laplace transform, we first need to factor the denominator of F(s). The denominator factors as (s - 3)². Therefore, we can rewrite F(s) as:

\(F(s) = \large{\frac{2e^{-0.5s}}{(s-3)^2}}\)

Now, we know that the Laplace transform of eᵃᵗ is 1/(s - a). Therefore, the inverse Laplace transform of

\(e^(-0.5s) \: is \: e^(0.5t).\)

Applying this, we get:

\(f(t) = 2e^(0.5t) * t \\

b) F(s) = \large{\frac{s-1}{s^2-3s+2}}\)

We can factor the denominator of F(s) as (s - 1)(s - 2). Now, we rewrite F(s) as:

\(F(s) = \large{\frac{s-1}{(s-1)(s-2)}}\)

Simplifying, we have:

\(F(s) = \large{\frac{1}{s-2}}\)

The Laplace transform of 1 is 1/s. Therefore, the inverse Laplace transform of F(s) is:

\(f(t) = e^(2t) \\

c) F(s) = \large{\frac{s-1}{s^2+s-2}}

\)

We factor the denominator of F(s) as (s - 1)(s + 2). The expression becomes:

\(F(s) = \large{\frac{s-1}{(s-1)(s+2)}}\)

Canceling out the (s - 1) terms, we have:

\(F(s) = \large{\frac{1}{s+2}}\)

The Laplace transform of 1 is 1/s. Therefore, the inverse Laplace transform of F(s) is:

\(f(t) = e^(-2t) \\

d) F(s) = \large{\frac{e^{-s}(s-1)}{s^2+s-2}}\)

We can factor the denominator of F(s) as (s - 1)(s + 2). Now, we rewrite F(s) as:

\(F(s) = \large{\frac{e^{-s}(s-1)}{(s-1)(s+2)}}\)

Canceling out the (s - 1) terms, we have:

\(F(s) = \large{\frac{e^{-s}}{s+2}}\)

The Laplace transform of

\(e^(-s) \: is \: 1/(s + 1).\)

Therefore, the inverse Laplace transform of F(s) is:

\(f(t) = e^(-t)\)

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Answer:

see explanation

Step-by-step explanation:

y(x + 1) = 51 ← substitute y = 3 into the equation

3(x + 1) = 51 ( divide both sides by 3 )

x + 1 = 17 ( subtract 1 from both sides )

x = 16

Given:

What to prove: x = 16

We have now proved that x = 16.

Hoped this helped.

\(BrainiacUSer1357\)

The amount of the investment at the end of 12 years for the following compounding methods when $400 is invested at an interest rate of 5.5% per year will be as follows:

Annual compounding Interest = 5.5%

Investment = $400

Time = 12 years

The formula for annual compounding is,A = P(1 + r / n)^(n * t)  

Where,P = $400

r = 5.5%

= 0.055

n = 1

t = 12 years

Substituting the values in the formula,

A = 400(1 + 0.055 / 1)^(1 * 12)  

A = 400(1.055)^12  

A = $812.85  

Hence, the amount of the investment at the end of 12 years for the annual compounding method will be $812.85.

Rate = 5.5%

Compound Interest = 400 * (1 + 0.055)^12

= $813 (rounded to the nearest cent).  

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In the absence of price discrimination, the profit-maximizing conditions would be different, and the resulting prices, quantities, total revenue, total cost, and profit would also be different.

To find the profit-maximizing conditions with third-degree price discrimination, we need to equate the marginal revenue (MR) to the marginal cost (MC) for each market segment.

Given the demand equations and the total cost function:

Market 1: Q1 = 160 - 10P1 or P1 = 16 - 0.1Q1

Market 2: Q2 = 200 - 20P2 or P2 = 10 - 0.05Q2

Total Cost: TC = 120 + 4Q

To find the profit-maximizing prices and quantities, we equate MR to MC for each market segment:

MR1 = MC:

16 - 0.2Q1 = 4

0.2Q1 = 12

Q1 = 60

MR2 = MC:

10 - 0.1Q2 = 4

0.1Q2 = 6

Q2 = 60

Substituting the quantities back into the demand equations, we find:

P1 = 16 - 0.1(60) = 10

P2 = 10 - 0.05(60) = 7

The total revenue (TR) can be calculated by multiplying the price by the quantity for each market segment:

TR = P1 * Q1 + P2 * Q2

TR = (10 * 60) + (7 * 60)

TR = 600 + 420

TR = 1020

The total cost (TC) is given by the total cost function:

TC = 120 + 4Q

TC = 120 + 4(60 + 60)

TC = 120 + 480

TC = 600

Finally, the profit (π) can be calculated by subtracting total cost from total revenue:

π = TR - TC

π = 1020 - 600

π = 420

In the absence of price discrimination, the profit-maximizing conditions would be different, and the resulting prices, quantities, total revenue, total cost, and profit would also be different.

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