2. In a certain town, the tricycle fare for the first kilometer costs ₱15.00. An additional amount of ₱6.50 is added for every succeeding kilometer. If Anthony paid, ₱47.50 to the tricycle driver, how many kilometers did he travel?

Answer:

$2853.60

Step-by-step explanation:

4.1 percent of 8700 is 356.7 multiply it by the 8 years and you get 2853.60

Answer:

is it only my or is the picture like static

Step-by-step explanation:

Answer:

2450

Step-by-step explanation:

You have the size of one of the playgrounds area's, but remember, there are 2. So double your answer.

According to the information we can infer that the period of the graph is 8.

To determine the period of the graph we have to consider that the period of a grah is the distance between rigdes. So, in this case we have to count what is the difference between each rigde.

In this case, the distance between rigdes is 8 units because the first is located in the line 1 an the second is located in the line 9. So we can conclude that the period of the graph is 8.

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Answer:

3.85 or 77/20

Step-by-step explanation:

2 1/5 -> 11/5

1 3/4 -> 7/4

find common denominator

44/20

35/20

multiply

1540/400

simplify(by a factor of 20)

77/20

77/20=3.85

Answer:

These are consecutive interior angles.

Consecutive interior angles always add up to 180 degrees.

If they add up to 180 degrees, then we can use this equation:

(x + 5) + (9x - 55) = 180

And then solve for it:

10 x - 50 = 180

10x = 130

x = 13

Ta - da! works like magic

Answer:

4*x^2+5x

Explanation:

Answer:

Step-by-step explanation:

I am getting the ans wait

The difference between 126 1/4 and 78 7/12 is 143/3 or 47 2/3.

To find the difference between the numbers simplify means;

to subtract 78 7/12 from 126 1/4 .

126 1/4 - 78 7/12

First, convert the mixed fractions into improper fractions.

( 126 × 4 + 1 )/4 - ( 78 × 12 + 7) /12

505/4 - 943/12

Multiply first term by 3/3 which is the same as 1.

( 505/4 × 3/3 ) - 943/12

1515/12 - 943/12

( 1515 - 943) / 12

572 / 12

143/3 or 47 2/3.

Therefore, the difference is 143/3 or 47 2/3.

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Answer:

4/5

Step-by-step explanation:

the equation of slope is y1-y2/ x1-x2

you get 4/5

The number of sodas sold at the baseball game was 119, while the number of hot dogs sold was 72.

Let's assume the number of sodas sold as 'x' and the number of hot dogs sold as 'y'.

According to the problem, the total number of sodas and hot dogs sold is 191, so we can write the equation:

x + y = 191   ...(1)

The problem also states that the number of hot dogs sold was 47 less than the number of sodas sold. Mathematically, we can express this as:

y = x - 47   ...(2)

To find the values of x and y, we can solve the system of equations (1) and (2). Substituting equation (2) into equation (1), we have:

x + (x - 47) = 191

Simplifying the equation:

2x - 47 = 191

2x = 191 + 47

2x = 238

Dividing both sides by 2:

x = 238/2

x = 119

Substituting the value of x back into equation (2):

y = 119 - 47

y = 72

As a result, the total amount of sodas sold is 119, and the total amount of hot dogs sold is 72.

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The linear function that relates y to x is given as follows:

y = -0.5x + 57.

The slope indicates that the height decays 0.5 feet per minute. The y-intercept indicates that the descent starts at a cruising altitude of 57 feet.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The coefficients m and b represent the slope and the intercept, respectively, and are explained as follows:

From the table, when x = 0, y = 57, hence the intercept b is given as follows:

b = 57.

When x increases by 10, y decays by 5, hence the slope m is given as follows:

m = -5/10

m = -0.5.

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Answer:

the answer is 100 cuz if the test was 120 questions and both boys got 30 plus questions right and 20 questions wrong then the answer would be 100 questions right

Both boys get 14 problems correct of the entire test composed by 120 problems.

In this question we must determine how many questions Andy and Bob got correct. The total of problems (\(p\)) is the sum of problems that neither got correct (\(x\)), problems that only Andy got correct (\(y\)) and problems that both boys got correct (\(z\)). Hence, we have the following algebraic expression:

\(p = x + y + z\) (1)

And according to the statement, the relationships between the number of problems got correct by Andy and the number of problems that Bob got correct (\(u\)) is described by the following expressions:

\(y = u + 30\) (2)

\(y = 6\cdot z\) (3)

If we know that \(p = 120\) and \(x = 20\), then the solution to this system of linear equations is:

\(y + z = 100\) (1)

\(y - u = 30\) (2)

\(y - 6z = 0\) (3)

The solution of this system is: \(y = 85.714\), \(z = 14.286\), \(u = 55.714\).

Since the quantity of solved problems must be integers, we have the following approximate solution: \(y = 86, z = 14, u = 56\)

Hence, we conclude that both boys get 14 problems correct of the entire test composed by 120 problems. \(\blacksquare\)

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Answer:

900 kg

Step-by-step explanation:

Let's assume the cost price (C.P.) of sugar is Rs. x per kg.

The total quantity of sugar is 1500 kg.

Let the quantity of sugar sold at 8% profit be represented by y kg.

The quantity of sugar sold at 18% profit would then be (1500 - y) kg.

Using the rule of alligation, we can set up the following proportion:

(8% profit) y kg

-------------- = ------

(18% profit) (1500 - y) kg

Simplifying the proportions, we find that the difference in percentages is 4% (18% - 14% = 4%) and 6% (14% - 8% = 6%).

The ratio of these differences is 2:3.

This means that for every 2 kg of sugar sold at 8% profit, 3 kg of sugar is sold at 18% profit.

Since y represents the quantity sold at 8% profit (2 kg), we can calculate the quantity sold at 18% profit (3 kg) as follows:

(2 kg) * (3/2) = 3 kg

Therefore, the quantity sold at 18% profit is 900 kg.

\(f^(-1)(2) = 6\), which is consistent with our earlier result.

A function that "undoes" another function is known as an inverse function. If f(x) is a function, then f(x inverse, )'s indicated by f-1(x), is a function that accepts f(x output )'s as an input and outputs f(x initial )'s input.

Given the function f(x) = √(2x - 8), if f^(-1)(x) is the inverse function of f(x), what is \(f^(-1)(2)\)?

Solution:

To find f^(-1)(2), we need to find the value of x such that  \(f(x) = 2\) . We can set up an equation:

\(f(x) = \sqrt(2x - 8) = 2\)

Squaring both sides, we get:

\(2x - 8 = 4\)

\(2x = 12\)

\(x = 6\)

Therefore, \(f^(-1)(2) = 6.\)

We can also verify this result by using the definition of an inverse function. If f^(-1)(x) is the inverse function of f(x), then by definition:

\(f(f^(-1)(x)) = x\)

We can substitute x = 2 and solve for f^(-1)(2):

\(f(f^(-1)(2)) = 2\)

\(f^(-1)(2) = (f(6))^(-1)\)

f(6) = √(2(6) - 8) = √4 = 2

Therefore,\(f^(-1)(2) = 6\), which is consistent with our earlier result.

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Answer:

It would be 212

Step-by-step explanation:

212 tens divided by 10 is 21.2 tens.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

There are 212 tens.

And tens is a digital device.

So, 212 tens divided by 10,

=212/10

= 21.2

Therefore, the value is 21.2 tens.

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The tourist's investment function can be expressed as follows:

f(x) = 720 + 35x

According the question,

The tourist's investment function can be expressed as follows:

f(x) = 720 + 35x

Where x represents the quantity of additional tours that the tourist wants to add to their travel package.

The function f(x) represents the total cost of the travel package plus the additional cost of the extra tours.

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Large Tractors Sold at Break Even Point= 26 units

Small Tractors Sold at Break Even Point= 39 units

Break-even point is where sales are equivalent to the sum of all costs incurred by the company. It is a significant concept in accounting as it gives the managers vital information on how many units must be sold to make business operations profitable.

From the question, it was stated that Wagner Enterprises sells for every three small tractors, two large tractors. Therefore, the sales mix will be:

The contribution margin per unit will be computed first, after which we multiply the sales mix by the computed margin per unit to get the Weighted Average Contribution Margin (WACM). This is shown below:

For Large Tractor:

Selling Price per Unit = $62,000

Variable Cost per Unit = $28,520

Contribution Margin per Unit = ($62,000 - $28,520) = #33,480

Multiply by sales-mix of 2/5 = 2/5 times $33,480 = 13,392 (WACM)

For Small Tractor:

Selling Price per Unit = $34,000

Variable Cost per Unit = $16,320

Contribution Margin per Unit = ($34,000 - $16,320) = #17,680

Multiply by sales-mix of 3/5 = 3/5 times $17,680 = 10,608 (WACM)

The Total Weighted Average Contribution Margin per unit is therefore:

$13,392 + $10608, equaling $24,000.

Now we can find the Break-even Point in Unit.

Formula for Break-even Point in Unit = Total Fixed Cost (TFC) divided by Weighted Average Contribution Margin in unit

Total Fixed Costs = $1,560,000

WACM in unit = $24,000

Break-Even Point = \(\frac{1,560,000}{24,000}\) = 65 units

From the calculations, the total units that must be sold to break-even are equivalent to 65 units. Given the above sales mix, the 65 units will be shared thus:

Therefore, 26 units of Large Tractors and 39 units of Small Tractors were sold at Wagner's Enterprise break-even point.

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The volume of the suitcase is 35/8 cubic feet or approximately 4.375 cubic feet.

A rectangular prism is a three-dimensional solid object that has six faces, where each face is a rectangle. It is also called a rectangular parallelepiped. A rectangular prism is a type of prism because it has a constant cross section along its length.

A rectangular prism's volume V is determined by:

V = l × w × h

where l denotes the prism's length, w its width, and h its height. Here are the facts:

l = 2 3 ft

w = 1 1/2 ft

h = 1 1/4 ft

When we enter these values into the formula, we obtain:

V = (2 3 ft) × (1 1/2 ft) × (1 1/4 ft)

= (7/3 ft) × (3/2 ft) × (5/4 ft)

= 35/8 ft³

Therefore, the volume of the suitcase is 35/8 cubic feet or approximately 4.375 cubic feet.

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Answer:

D

Step-by-step explanation:

(-i)⁵ can be written as (-i)² * (-i)² * (-i). Since (-i)² is the same as i², this equals -1 * (-1) * (-i) which becomes -i.

Answer:

The probability that the selected number is an odd number or a multiple of 3 is 6/9, or 2/3. This is because there are 6 numbers that meet the criteria out of the 9 numbers in the set: 1, 3, 5, 7, 9, and 3.

The general exponential decay formula is given by:

where a is the original amount of what we are studying and b is the percentage by which the orginal amount will decline.

Therefore, comparing the general formula we conclude that the functions that represent exponential decay are b and c.

Explanation:

She scored 92 points in 4 games. The unit rate is 92/4 = 23 points per game.

Over the course of 17 games, Maria would have a total of 17*23 = 391 points assuming her scoring rate is kept the same.

Answer:

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

The probability of a right answer in one question is 1/2.

Since it is same for each question and the number of questions is 5, then Mason can get:

The present value of the payments that Mason would receive over five years is $37,901.

Here, we have,

To find the present value of the payments that Mason would receive over five years, we can use the present value formula for an annuity:

PV = PMT x [1 - (1 + r)^(-n)] / r

Where we have:

PV = present value of the payments

PMT = amount of each payment ($10,000 in this case)

r = interest rate per period (10% or 0.10 in this case)

n = total number of periods (5 in this case)

Plug in the values:

PV = $10,000 x [1 - (1 + 0.10)^(-5)] / 0.10

PV = $10,000 x [1 - 0.6209] / 0.10

PV = $10,000 x 3.7901

PV = $37,901

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complete question:

Mason would receive $10,000 every year for five years. The rate of interest is 10%. What would be the present value of the amount that would be received by Mason at the end of five years?

Answer:

Step-by-step explanation:

x^2+20=4 first isolate the variable by subtracting 20 on both sides.

x^2=-16 again isolate the variable but this time you square root both sides.

\(\sqrt{x}^2\)=\(\sqrt{-16\) then simplify

x= ±4

Therefore, the rate of change, in cm per minute, of the height when the height is 6 cm is approximately -6 cm/min.

Given,The width of the box = 10 cm Length of the box = 17 cmThe volume of the box = 527 cubic cm/minWe need to find the rate of change, in cm per minute, of the height when the height is 6 cm.We know that the volume of the box is given as:V = l × w × h where, l, w and h are length, width, and height of the box respectively.It is given that the width and length are being held constant.

Therefore, we can write the volume of the box as

:V = constant × h Differentiating both sides with respect to time t, we get:dV/dt = constant × dh/dtNow, it is given that the volume of the box is decreasing at a rate of 527 cubic cm per minute.

Therefore, dV/dt = -527.Substituting the given values in the above equation, we get:

527 = constant × dh/dt

We need to find dh/dt when h = 6 cm.To find constant, we can use the given values of length, width and height.Substituting these values in the formula for the volume of the box, we get:

V = l × w × hV = 17 × 10 × hV = 170h

We know that the volume of the box is given as:V = constant × hSubstituting the value of V and h, we get:

527 = constant × 6 cm

constant = 87.83 cm/minSubstituting the values of constant and h in the equation, we get

-527 = 87.83 × dh/dtdh/dt = -6.0029 ≈ -6 cm/min

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Answer:

dip, tilt, slant, incline, descend

Answer:

v = 7

Step-by-step explanation:

42 = v + 35

-35        -35

7 = v

The answer is D. 7

I took the quiz and got it right

The walkway is 11 feet 6 inches long.

To find the length of the walkway, we need to add the lengths of the two boards.

The first board is 6 feet 11 inches long, which can be written as 6 + 11/12 feet using the fact that there are 12 inches in a foot.

The second board is 5 feet 7 inches long, which can be written as 5 + 7/12 feet.

Now we can add the lengths of the two boards:

6 + 11/12 feet + 5 + 7/12 feet

= 11 + 6/12 feet

=11 + 1/2 feet

Therefore, the walkway is 11 feet 6 inches long.

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