(I SUCK AT MATHS)

If 15 metres of rope costs £22.50, how much would 12 metres cost?
​

Answer:

As Fraction: 80/100

As percentage: 80%

Step-by-step explanation:

I can't draw but could maybe explain; 80 out of 100 can be converted to 80/100 or 80%.

The number of people at the movie is 340

Let's represent the total number people at the movie as "x".

We know that the number of adults in the movie is 187 and the percentage of children is 45%

So we can write:

187 = (1 - 45%) * x

This gives

187 = 0.55x

To solve for x, we can divide both sides by 0.55:

x = 187/0,55

Evaluate

x = 340

Hence, the number of people is 340

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Answer:

\(x=-\frac{4}{5}\)

Step-by-step explanation:

\(6=\frac{3}{4}(10x+16)\\\mathrm{or,\ }6\times 4=3(10x+16)\\\\\mathrm{or,\ }24=30x+48\\\\\mathrm{or,\ }-24=30x\\\\\mathrm{\therefore}\ x=-\frac{4}{5}\)

a) the demand equation in the form of p = f(Q) is p = -10/3Q + 14533.33

b) when the price per unit of calculators is Rs 1650, approximately 3865 calculators are demanded.

c) when 4500 calculators are demanded, the price per unit should be approximately Rs 3010.

To find the demand equation in the form of p = f(Q), we need to determine the relationship between the price per unit (p) and the quantity demanded (Q) based on the given information.

Let's use the two data points provided:

Point 1: Price (p1) = Rs 1200, Quantity (Q1) = 4000

Point 2: Price (p2) = Rs 1500, Quantity (Q2) = 3000

First, we calculate the slope of the demand equation using the formula:

Slope = (Q2 - Q1) / (p2 - p1)

Substituting the values, we get:

Slope = (3000 - 4000) / (1500 - 1200) = -1000 / 300 = -10/3

Next, we use one of the data points and the slope to find the y-intercept (b). Let's use Point 1:

p1 = Rs 1200, Q1 = 4000

Using the equation of a straight line (y = mx + b), we can rearrange it to solve for b:

b = y - mx

b = 1200 - (-10/3)(4000) = 1200 + 40000/3 = 1200 + 13333.33 = 14533.33

Therefore, the demand equation in the form of p = f(Q) is:

p = -10/3Q + 14533.33

To find the number of calculators demanded (Q) when the price per unit is Rs 1650, we can rearrange the equation and solve for Q:

1650 = -10/3Q + 14533.33

-10/3Q = 1650 - 14533.33

-10/3Q = -12883.33

Q = (-12883.33) / (-10/3)

Q = 12883.33 * 3/10

Q ≈ 3865

Therefore, when the price per unit of calculators is Rs 1650, approximately 3865 calculators are demanded.

Now, let's determine the price per unit (p) when 4500 calculators are demanded. We rearrange the equation and solve for p:

4500 = -10/3Q + 14533.33

-10/3Q = 4500 - 14533.33

-10/3Q = -10033.33

Q = (-10033.33) / (-10/3)

Q = 10033.33 * 3/10

Q ≈ 3010

Therefore, when 4500 calculators are demanded, the price per unit should be approximately Rs 3010.

By using the slope-intercept form of a linear equation and the given data points, we can determine the demand equation and solve for various scenarios, including finding quantities demanded at specific prices and determining the appropriate price for a given quantity demanded.

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Answer:

Not sure what you are looking for but... I believe the answer is $2.92

Step-by-step explanation:

Given:

Initial gas - 12 gallons

Uses 1.25 gallons every hour

Find: gas remaining in the tank after 6 hours and t hours.

Solution:

a) after 6 hours

If 1.25 gallons of gas is used up every hour, then we can multiply 1.25 by 6 to determine the total amount of gas used after 6 hours.

After 6 hours, 7.5 gallons of gas were already used.

The remaining gas in the car would be:

After 6 hours of driving, only 4.5 gallons of gas remain in the tank.

b. after t hours

What we did above is we subtracted the result of the gallons used after 6 hrs from 12 gallons. Hence, the formula for solving the gas left after t hours is:

Gas left after t hours is 12 - 1.25t.

The equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is: R(x) = 250000 + 375x - 2.5x²

Equations are mathematical statements with two algebraic expressionsοn either sideοf an equals (=) sign. It illustrates the equality between the expressions writtenοn the left and right sides. To determine the valueοf a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

N(x) = 625 + 2.5x

The revenue R(x) will be the productοf the numberοf students enrolled and the fee charged per student. The fee charged per student will be (400 - x) dollars. So, the revenue function can be represented as:

R(x) = (625 + 2.5x)(400 - x)

Simplifying the expression, we get:

R(x) = 250000 + 375x - 2.5x²

Therefore, the equation that could be used to represent this situation, where x is the course fee and R(x) is the total revenue, is:

R(x) = 250000 + 375x - 2.5x²

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They ordered one pizza and 5 large drinks, the pizza cost $15 and the total cost was $26.75, so the cost of one large drink is:

So, one large drink cost $2.35

Answer:

p = -2/3

Hope this helps

The volume of the prism with a trapezoidal base is 312 m³

An equation is an expression that shows how numbers and variables are linked together using mathematical operations such as addition, subtraction, multiplication and division.

The volume of the prism is the product of the base area and the height. It is given by:

Volume = area of base * height

The prism shown in the diagram is a trapezoid prism, hence:

Area of base = (1/2)(5 + 8)(4) = 26 m²

Volume = area of base * height

Volume of prism = 26 m² * 12 m = 312 m³

The volume of the prism is 312 m³

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The type of scale commonly used on maps is a graphic scale, which uses a line or bar to represent distances accurately.

The type of scale used on a map is known as a map scale. It is a graphical representation that shows the relationship between distances on the map and their corresponding measurements in the real world. A map scale allows us to understand the size and proportion of features depicted on the map.

There are three main types of map scales: verbal scales, graphic scales, and representative fraction scales.

Verbal Scale: A verbal scale uses words to describe the relationship between distances on the map and real-world measurements. For example, a verbal scale might state "1 inch represents 1 mile" or "1 centimeter represents 10 kilometers." Verbal scales are commonly used on small-scale maps, where the level of detail is not as important.

Graphic Scale: A graphic scale, also known as a bar scale or linear scale, uses a line or a bar marked with specific distances. This line is divided into equal segments that represent units of measurement. By comparing the length of the line on the map to the corresponding distance in the real world, you can determine distances accurately. Graphic scales are often found on the margin or the legend of a map and are commonly used on medium- to large-scale maps.

Representative Fraction (RF) Scale: A representative fraction scale expresses the relationship between map distances and real-world distances using a ratio. For example, a representative fraction of 1:100,000 means that one unit of measurement on the map represents 100,000 of the same units in the real world. This type of scale is useful because it allows for precise calculations and conversions between map distances and real-world distances. Representative fraction scales are commonly used on topographic maps and engineering plans.

It's important to note that a map may include multiple scales to accommodate different levels of detail. For instance, a large-scale map of a city may have a more detailed scale than a small-scale map of an entire country.

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The additional gas it will take to fill the tank is 16 gallons

From the question, we have the following parameters that can be used in our computation:

Capacity = 24 gallons

Current volume = 1/3 full

This means that

Remaning volume = 1 - 1/3

Evaluate

Remaning volume = 2/3

The additional gas it will take to fill the tank is

Additional = 2/3 * 24

Evaluate

Additional = 16

Hence, the additional gas it will take to fill the tank is 16 gallons

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Answer:

19/99

yes this is the answer

Answer:

Step-by-step explanation:

you have to find the mean of the two fractions, adding and then dividing by two

(1/5 + 1/9) : 2 =

14/45 : 2 =

7/45

Answer:

Step-by-step explanation:

C = 4

The reason of this is because the absolute value of any number is always positive so that's why.

Using proportions, it is found that:

A. The equation is 0.95x = 456.

B. The original price of the television was $480.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

The television was sold with a 5% discount at $456, that is, 95% of the original price is of $456, hence:

0.95x = 456

x = 456/0.95

x = $480.

Thus:

A. The equation is 0.95x = 456.

B. The original price of the television was $480.

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Answer:

-4

Step-by-step explanation:

Answer:

A-

Step-by-step explanation:

APEX

Answer:

negative six

Step-by-step explanation:

The answer is a

Answer:

798980 doctors

Step-by-step explanation:

In a recent year, 26.2% of all registered doctors were female. The total number of registered doctors is 172900.

The percentage is a quantifiable way of comparing amounts with different totals. Because the percent is an equivalent fraction of the part with the whole, it is also a good way to get unknown amounts.

Percentages are basically fractions with a denominator of 100. We use the percent symbol (%) beside a number to indicate that it is a percentage. To calculate the percentage, divide the value by the total value and multiply the result by 100.

As given, 26.2%  of all registered doctors are females.

Consider, the total number of registered doctors as x

26.2% of x are females

26.2% of x is 45,300

26.2 / 100 × x = 45,300

x =  45,300 × 100 / 26.2

x = 172900.76

Therefore, the total number of registered doctors is 172900.

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6.247°

Option A is correct

Note that:

1' = (1/60)°

1'' = (1/3600)°

Therefore:

14' = (14/60)°

48'' = (48/3600)°

We can therefore compute the given expression as:

6° 14' 48" = 6° + (14/60)° + (48/3600)°

6° 14' 48" = 6.247°

The amount of medicine to be taken in each dose is 13/20 tablespoons.

To find the amount of medicine to be taken in each dose, we need to divide the total amount of medicine (2 3/5 tablespoons) by the number of doses (4).

First, let's convert the mixed number 2 3/5 into an improper fraction:

2 3/5 = (2 * 5 + 3)/5 = 13/5

Now, we can divide 13/5 by 4 to find the amount of medicine per dose:

(13/5) / 4 = 13/5 * 1/4 = 13/20

Therefore, 13/20 teaspoons of the medication should be consumed for each dose.

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\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$16000\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semi-annually, thus twice} \end{array}\dotfill &2\\ t=years\dotfill &5 \end{cases} \\\\\\ A=16000\left(1+\frac{0.05}{2}\right)^{2\cdot 5}\implies A=16000(1.025)^{10}\implies A\approx 20481.35\)

$16000 for five years at 5% APR compounded semiannually gives an interest of 4481 dollars.

Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.

We know the formula for compound interest compounded semiannually is,

A = P[1 + (r/2)/100]²ⁿ.

Where, A = amount, P = principle, r = rate and n = time in years.

Given,  $16,000 is deposited for five years at 5 % compounded semiannually.

A = 16000[1 + (5/2)/100]²ˣ⁵.

A = 16000[1 + 0.025]¹⁰.

A = 16000[1.025]¹⁰.

A = 16000×1.28.

A = 20481.

So, the interest earned is (20481 - 16000) = 4481 dollars.

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The simplified form of 13¹/3 + 2¹/3 - 10/2 is a fraction 64/6 that can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2 the final answer is 32/3.

Given

13¹/3+2¹/3-10/2​

Required simplified it =?

First, we have simplified both constants separately

13¹/3 = (3 * 13 + 1) / 3 = 40/3

2¹/3 = (3 * 2 + 1) / 3 = 7/3

now the expression become = 40/3 + 7/3 - 10/2

now taking LCM of 3 and 2 which is 6.

                                                = 80/6 + 14/6 - 30/6

 now we have to simplify this fraction by dividing by 2 = 64/6

Therefore, the simplified form of 13¹/3 + 2¹/3 - 10/2 is 32/3.

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Answer:

The one that is on the bottom half and on the right side.

Step-by-step explanation:

(0,30) to (10,0)

Because the x value 0 represents the time in which the paint job started and ends in the value 10

While the y value 30 is the amount of paint he started with and ends with 0

Answer:
Commutative Property: 2 + 3 + 4 = 4 + 3 + 2

Associative Property: 4(2 x 3) = (4 x 2)3

Distributive Property: 3(x + 3) = 3x +9

Step-by-step explanation:

Hello, no worries!

These are just basic definitions that you need to remember, and then you'll be on track. The commutative property is when you change the order of the numbers you're either adding or multiplying.

For example, 2 + 3 = 3 + 2.

The associative property is when you simply have just three terms that when you switch the order in a way, the answer will be the same.

For example, 2(5 x 4) = 5(4 x 2).

Last, but not least, the distributive property is when you distribute a term in the parentheses and multiply them.

Hope this helped, and best of luck with the rest of your assignment. (:

The probability that the proportion of teenagers in the sample who play video games on their phone is less than 0.497 is 0.6049

We can use the normal approximation to the binomial distribution to solve this problem, since

The mean of the sample proportion is equal to the population proportion, which is 0.48.

The standard deviation of the sample proportion is given by:

σ = √[(p * (1 - p)) / n]

σ = √[(0.48 * 0.52) / 60]

σ ≈ 0.064

To find the probability that the proportion of teenagers in the sample who play video games on their phone is less than 0.497, we can standardize this value using the z-score:

z = (0.497 - 0.48) /0.064

z = 0.266

Using a standard normal distribution calculator, we can find that the probability of getting z-score < 0.266

We have

P = 0.6049

Therefore, the probability of the proportion is approximately 0.6049

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The value of m that satisfies the equation -3 + m = 9 is m = 12.

To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.

-3 + m = 9

To move -3 to the other side, we can add 3 to both sides of the equation:

-3 + 3 + m = 9 + 3

Simplifying, we have:

m = 12

Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.

None of the provided answer options (A, B, C, D) match the correct solution.

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