a bank teller counted P1,250.00 in P 0.25 coin and P3,200.00 in P0.10 coins how many coins in all were counted​

Answer:

I have completed the answers and attached them to the explanation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question asks for a subtraction expression:

length is always a positive number so bigger number first here.

OB = 4-(-1)              >only moves in x direction so subtract x's

AB = 4-(-2)             >only moves in y direction so subtract y's

1.1. Accumulated depreciation:

The accumulated depreciation for the machine bought on 1 July 2013 would be R150,000 as of 31 March 2016.

1.2. Machine realization:

The machine bought in 2013 was sold for R120,000 on 30 June 2015, resulting in a profit/loss on the sale of R10,000.

1.1. Accumulated Depreciation:

To calculate the accumulated depreciation, we need to determine the annual depreciation expense for each machine and then accumulate it over the years.

Machine bought on 1 July 2013:

Cost: R250,000

Depreciation rate: 20% per annum on cost

Depreciation expense for the year ended 31 March 2014: 20% of R250,000 = R50,000

Depreciation expense for the year ended 31 March 2015: 20% of R250,000 = R50,000

Depreciation expense for the year ended 31 March 2016: 20% of R250,000 = R50,000

Accumulated depreciation for the machine bought on 1 July 2013:

As of 31 March 2014: R50,000

As of 31 March 2015: R100,000

As of 31 March 2016: R150,000

1.2. Machine Realisation:

To record the sale of the machine bought in 2013, we need to adjust the machine's value and the accumulated depreciation.

Machine's original cost: R250,000

Accumulated depreciation as of 30 June 2015: R100,000

Net book value as of 30 June 2015:  

R250,000 - R100,000 = R150,000.

On 30 June 2015, the machine was sold for R120,000.

Realisation amount: R120,000

To record the sale:

Debit Cash: R120,000

Debit Accumulated Depreciation: R100,000

Credit Machine: R250,000

Credit Machine Realisation: R120,000

Credit Profit/Loss on Sale of Machine: R10,000 (difference between net book value and realisation amount).

These entries will reflect the appropriate balances in the ledger accounts and properly close off the accounts for the years ended 31 March 2016.

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Answer:

4 L 600 mL

Step-by-step explanation:

1 L = 1000 mL

so 27 L 600 mL = 27000 + 600 = 27600 mL

27600/6 = 4600 mL

4 L 600 mL.

All statements that describe the transformation of f(x) to g(x) include the following:

A. horizontal translation 3 units left.

D. vertical translation 3 units down.

In Mathematics and Geometry, the vertical translation a geometric figure or graph downward simply means adding a digit to the value on the y-coordinate of the pre-image or function.

In Mathematics and Geometry, a horizontal translation to the right is modeled by this mathematical equation g(x) = f(x - N) while a vertical translation to the positive y-direction (downward) is modeled by this mathematical equation g(x) = f(x) - N.

Where:

In this scenario, we can logically deduce that the graph of the parent function f(x) = x² - 5 was translated or shifted to the left (horizontally) by 3 units and downward (vertically) by 3 units;

f(x) = x² - 5.

g(x) = (x + 3)² - 5 - 3

g(x) = (x + 3)² - 8

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For the given function the value of limits are

\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\) is 5

\(\lim _{x\to 0^+}\left(f\left(x\right)\right)\) is 0

\(\lim _{x\to 0}\left x^2+5\)is 5

The given function is f(x)= x²+5, when x≤0

f(x)=2x when x>0

\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\)

Which is \(\lim _{x\to 0^-}\left x^2+5\)

The given limit is a left hand limit as there is minus in the limits

When we apply x as 0 we get the value 5

Now \(\lim _{x\to 0^+}\left(f\left(x\right)\right)\)

So \(\lim _{x\to 0^+}\left 2x\)

The given limit is a right hand limit as there is positive in the limits

When we apply x as 0 we get 0

Now \(\lim _{x\to 0}\left(f\left(x\right)\right)\)

Which is \(\lim _{x\to 0}\left x^2+5\)

We get 5

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According to the information provided, 4.5 litres of red paint and 1400 ml of blue paint are required to manufacture the paint mixture.

Red paint requires 3/4 x 6 = 9/2 = 4.5 litres.

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Answer:

the answers are in the photo

Step-by-step explanation:

you can solve for the range and domain by making an x and y chart, listing the x values, then using the graph in the first part to find the y values with the slope. for the matching part, you can find what the slope is by seeing how much the x values increase and same with the y values. then match the graph with wahtever equation has that slope. I hope this helps

Answer:

\( \frac{12}{ \cos(34) } \)

Step-by-step explanation:

\( \cos(34) = \frac{12}{z} \\ z = \frac{12}{ \cos(34) } \)

Answer:

x^2 - 2 /3 (x+3)

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The equivalent expression shows the length and the width of the path is (x-10)(x-8).

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term. First, there must be a term other than zero in the coefficient of x² (a≠ 0) for an equation to be a quadratic equation. The x²term is written first when constructing a quadratic equation in standard form, then the x term, and finally the constant term. The numerical values of a, b, and c are typically expressed as integral values rather than fractions or decimals.

Given:

A = x² - 18x +80.

Now, factorizing

x² - 10x - 8x + 80

=x(x-10) - 8(x-10)

=(x-8)(x-10)

Hence, equivalent expression shows the length and the width of the path is (x-10)(x-8).

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Answer:

\( b.~~s \le 35 \)

Step-by-step explanation:

The speed limit is the maximum allowed speed. If the speed limit is 35 mph, you can drive at 35 mph or less than 35 mph. You need to show a speed that is less than or equal to 35 mph.

Answer:

\( s \le 35 \)

Answer:

103

Step-by-step explanation:

Every straight line's angle measurement is 180 degrees, so if one angle is 77 degrees, the other must be 103 degrees to equal 180. (77+103=180)

Hope this helps!

Answer:

7 : 5

Step-by-step explanation:

\(\boxed{\begin{minipage}{4 cm}\underline{Area of a semicircle}\\\\$A=\dfrac{1}{2} \pi r^2$\\\\where:\\ \phantom{ww} $\bullet$ $r$ is the radius.\\ \end{minipage}}\)

If the diameter of the outer semicircle is 8 cm, then its radius is 4 cm.

Area of a semicircle with radius 4 cm:

\(\implies A=\dfrac{1}{2} \pi \cdot 4^2\)

\(\implies A=\dfrac{1}{2} \pi \cdot 16\)

\(\implies A=8 \pi \; \sf cm^2\)

Area of a semicircle with radius 3 cm:

\(\implies A=\dfrac{1}{2} \pi \cdot 3^2\)

\(\implies A=\dfrac{1}{2} \pi \cdot 9\)

\(\implies A=\dfrac{9}{2} \pi \; \sf cm^2\)

Area of a semicircle with radius 2 cm:

\(\implies A=\dfrac{1}{2} \pi \cdot 2^2\)

\(\implies A=\dfrac{1}{2} \pi \cdot 4\)

\(\implies A=2\pi \; \sf cm^2\)

Area A

To find the area of section A, subtract the area of a semicircle with radius 3 cm from the area of a semicircle with radius 4 cm:

\(\implies \textsf{Area A}=8 \pi - \dfrac{9}{2} \pi\)

\(\implies \textsf{Area A}= \dfrac{7}{2} \pi \; \sf cm^2\)

Area B

To find the area of section B, subtract the area of a semicircle with radius 2 cm from the area of a semicircle with radius 3 cm:

\(\implies \textsf{Area A}=\dfrac{9}{2} \pi-2 \pi\)

\(\implies \textsf{Area A}=\dfrac{5}{2} \pi\; \sf cm^2\)

Therefore, the ratio of area A to area B is:

\(\implies \dfrac{7}{2} \pi : \dfrac{5}{2} \pi\)

\(\implies \dfrac{7}{2} : \dfrac{5}{2}\)

\(\implies 7:5\)

Answer:

Robin.

Step-by-step explanation:

Clinton scored 24% of his attempts which means 24/100.

Then Katniss scored 6/25 of his attempts which means 24/100.

After that Robin scored 0.26 of his attempts which means 26/100.

Finally William scored 1/5 of his attempts which means 20/100.

Therefore, Robin has the highest score and wins the competition.

Answer:

3/9 = 1/3 of a minute or 20 seconds

Step-by-step explanation:

Answer:

1/3 of a minute

Step-by-step explanation:

1/3 x 3 = 1 bottle

1/9 x 3 = the time

1/9 x 3 = 3/9 or 1/3

It is important to note that this equation assumes a constant density of seawater, which is not always the case in the deep ocean. In addition, the pressure at a given depth can vary depending on factors such as temperature and salinity. This equation should be used with caution and in conjunction with other measurements and data analysis techniques.

The given equation for pressure in pounds per square foot at a depth of d feet is P = 14 + 4d/9. We are given that the pressure measured by the scientific team is 306 pounds per square foot. To find the depth at which this pressure is measured, we need to solve the equation for d.

Substituting P = 306 in the equation, we get:

306 = 14 + 4d/9

Multiplying both sides by 9, we get:

2754 = 126 + 4d

Subtracting 126 from both sides, we get:

2628 = 4d

Dividing both sides by 4, we get:

d = 657 feet

The scientific team is measuring the pressure at a depth of 657 feet below the surface of the ocean.

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Answer:

2π ft²

Step-by-step explanation:

Circle Area:

A = πr²

A = π × (4 ft)²

A = 16π ft²

Sector Area:

A = (45°)/(360°) × 16π ft²

A = 2π ft²

Answer:

Step-by-step explanation:

The first step contains the error.

2x - 10 =    22            Add 10 to both sides

   + 10     +10

2x = 32                      Divide by 10

2x/2 = 32/2

x = 16

Answer:

\(\{a\) ∈ \(R\ -21 \le a \le \infty \}\) --- set builder

\([-21,\infty)\) --- interval notation

Step-by-step explanation:

Given

\(-3a - 15 \le -2a + 6\)

Required

Solve

Collect like terms

\(-3a + 2a \le 15 + 6\)

\(-a \le 21\)

Divide by -1

\(a \ge - 21\)

Rewrite as:

\(-21 \le a\)

Using set builder

\(\{a\) ∈ \(R\ -21 \le a \le \infty \}\)

Using interval notation, we have:

\([-21,\infty)\)

Answer:

x = 4

z = 92°

Step-by-step explanation:

From the picture attached,

Two straight lines are intersecting each other at a point so that,

(12x + 50)° + (13x + 30)° = 180° [Linear pair of angles]

25x + 80 = 180

25x = 100

x = 4

Therefore, measure of (13x + 40)° = 13×4 + 40

                                                        = 52 + 40

                                                        = 92°

Since, z° = (13x + 40)° [Vertically opposite angles]

Therefore, z° = 92°

An equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is \(7x > -22.\)

To find an equivalent inequality, we can start by simplifying the given inequality and then make adjustments to preserve its truth.

Let's simplify the given inequality step by step:

\(-4(x + 7) < 3(x - 2)\)

Expanding both sides:

\(-4x - 28 < 3x - 6\)

Grouping like terms:

\(-4x - 3x < -6 + 28\)

Simplifying:

\(-7x < 22\)

To maintain the direction of the inequality, we need to multiply both sides by -1.

However, when we multiply or divide both sides of an inequality by a negative number, the direction of the inequality is reversed.

Therefore, we need to flip the inequality sign:

\(7x > -22\)

Hence, an equivalent inequality to the given \(-4(x + 7) < 3(x - 2)\) is

\(7x > -22.\)

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Answer:

\(\displaystyle f^{-1}(x)=\frac{3+x}{x-2}\)

Step-by-step explanation:

We have the function:

\(\displaystyle f(x)=\frac{2x+3}{x-1}\)

Find the inverse of f(x). First, we call y=f(x):

\(\displaystyle y=\frac{2x+3}{x-1}\)

We have to solve for x. Multiply by x-1:

\(y(x-1)=2x+3\)

Operate:

\(yx-y=2x+3\)

Join all the x's to the left side and move the rest to the right side:

\(yx-2x=3+y\)

Factor:

\(x(y-2)=3+y\)

Solve for x:

\(\displaystyle x=\frac{3+y}{y-2}\)

Interchange the variables:

\(\displaystyle y=\frac{3+x}{x-2}\)

This is the inverse function:

\(\boxed{\displaystyle f^{-1}(x)=\frac{3+x}{x-2}}\)

Answer: It's not balanced because it's less likely to include teens, young adults, and senior citizens in the patron population.

Step-by-step explanation: If wants to get a good sample for the whole "population," she should've taken broader samples of people of all ages.  

Answer:

I think it is B .................

Step-by-step explanation:

Answer:

Acute

Step-by-step explanation:

two of the angles are acute and the other is right.

the mean and median are equal.

The percent change in Pilar's shell collection from the beginning of the day to the end is,  22.5%

Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".

Given that,

Pilar has 40 shells in her collection.

She collects 6 more shells in the morning and 3 more shells in the afternoon.

The percent change in Pilar's shell collection from the beginning of the day to the end = ?

At the beginning of the day, Pilar has 40 shells.

In the morning, she collects 6 more shells, bringing her total to

= 40 + 6

= 46 shells.

Then, in the afternoon, she collects 3 more shells, bringing her total to

=46 + 3

= 49 shells.

To find the percent change in Pilar's shell collection from the beginning of the day to the end, we can use the formula:

percent change = (final value - initial value) / initial value * 100%

Plugging in the values we have:

percent change = (49 - 40) / 40 x 100%

percent change = 9 / 40 x 100%

percent change = 22.5%

Therefore, there is a 22.5% increase in Pilar's shell collection from the beginning of the day to the end.

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Answer:

Step-by-step explanation:

\(\frac{-3+7i}{-6-7i} \times \frac{-6+7i}{-6+7i} =\frac{18-21i-42i-49i^2}{(-6)^2-(7i)^2} \\=\frac{18-63i -49(-1)}{36-49i^2} \\=\frac{18+49-63 i}{36-49(-1)} \\=\frac{67-63i}{36+49} \\=\frac{67-63i}{85} \\=\frac{67}{85} +(\frac{-63}{85} )i\\\)

\(a=\frac{67}{85} \\b=\frac{-63}{85}\)

The method is: Find the increase and find the ratio of the increase and the old price.

The percentage increase is 20%

A percentage is defined as the ratio that can be expressed as a fraction of 100.

The method below shows how you would calculate the % increase.

First step: Find the increase:

increase = 480 - 400 = $80

Second step: Find the ratio of the increase and the old price and multiply by 100 to express in percentage:

80/400 * 100 = 20%

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Answer:

0.75 inches?

Step-by-step explanation:

I did it on the calculator:

3 divided by 4 = 0.75