There are 549 coins in a bottle.

ſ of the coins are £1 coins.

164 of the coins are 50p coins.

The rest of the coins are 20p coins.

Work out the total value of the 549 coins in pounds (£).

+

Total marks: 4

Answer:4.62x10^13

Step-by-step explanation:

Answer:

1800

Step-by-step explanation:

9x2=18

18~ 00

1800

Answer:

23 i think

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since the 2 lines running the same direction are parallel to each other, as marked, then x + 32 and 2x + 1 are corresponding and they are also congruent. That means that they are equal in measure:

x + 32 = 2x + 1 and

x = 30. So the angles measure 62 degrees each. That means that each angle that is diagonal to these 2 angles also measure 62 degrees. The angles above and next to each of these 62 degree angles are supplementary, meaning they measure 180 - 62 which is 118 degrees.

Answer:

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

Use slope equation:

Substitute coordinates and solve for n:

Answer:

77

Step-by-step explanation:

If the probability of choosing a red marble is 11/12, then 11/12 of the marbles in the bag must be red. Therefore, the number of red marbles is 84*11/12=7*11=77 marbles. Hope this helps!

There are several types of functions, but this question is limited to just 2 types, which are the exponential function and the linear function.

The given parameters can be represented as:

\(\begin{array}{cccc}{Years} & {1} & {2} & {3} & {House\ 1} & {186,160 } & {193,606.40 } & {201,350.66} & {House\ 2} & {190,000 } & {201,000 } & {212,000} \ \end{array}\)

(a): The type of function

First, we check if the function is linear by calculating the difference between each year

House 1

\(d = 193606.40 - 186160 = 7446.4\)

\(d = 201350.66 - 193606.40 = 7744.26\)

The difference are not equal; hence, the function is not linear. So, we can assume that it is exponential

House 2

\(d = 201000 - 190000 =11000\)

\(d = 212000 - 201000 =11000\)

The difference are equal; hence, the function is linear.

(b): The function of each

House 1

An exponential function is represented as:

\(y = ab^x\)

When \(x = 1;\ y =186,160\)

We have:

\(186,160 =ab^1\)

\(186,160 =ab\) ---- (1)

When \(x = 2;\ y =193606.40\)

We have:

\(193606.40 =ab^2\) --- (2)

Divide (2) by 1

\(\frac{193606.40}{186160} =\frac{ab^2}{ab}\)

\(1.04 = b\)

\(b = 1.04\)

Make a the subject in (1)

\(186,160 =ab\)

\(a = \frac{186160}{b}\)

\(a = \frac{186160}{1.04}\)

\(a = 179000\)

So, the function for house 1 is:

\(f(x) = 179000 * 1.04^x\)

House 2

A linear function is represented as:

\(y = mx + b\)

First, we calculate the slope (m)

\(m = \frac{y_2 -y_1}{x_2 - x_1}\)

So, we have:

\(m = \frac{201000 - 190000}{2 - 1}\)

\(m = \frac{11000}{1}\)

\(m = 11000\)

So, the equation is:

\(y =m(x-x_1) + y_1\)

Substitute known values

\(y =11000(x-1) + 190000\)

\(y =11000x-11000 + 190000\)

\(y =11000x+179000\)

So, the function for house 2 is:

\(f(x) =11000x+179000\)

(c): House with the greatest value in 30 years

This means that:

\(x = 30\)

For house 1, we have:

\(f(x) = 179000 * 1.04^x\)

\(f(30) = 179000 * 1.04^{30}\)

\(f(30) = 580568.15\)

For house 2, we have:

\(f(x) =11000x+179000\)

\(f(30) = 11000 * 30+ 179000\)

\(f(30) = 509000\)

By comparison;

\(580568.15> 509000\)

House 1 will have a greater value in 30 years

And the difference between the values is significant

The difference is:

\(d =580568.15-509000\)

\(d =71568.15\)

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SOLUTION:

Case: Proportions

Method:

The recommended dosage of a drug for pediatric patients is 200 mg per kilogram

We calculate John's weight in kg

Since

Next, the drug should he receive

Final an

Answer:

J=17

Step-by-step explanation:

J/-2 + 7 = -12

multiply both sides by -2 to cancel out the J/-2 and turn it into J + 7 = 24

transfer the 7 to the other side to get J = 24 - 7

J = 17

hopefully this helps.

Answer:

49

Step-by-step explanation:

-7 + 8 x 7

order of operations says to do 8 x 7 first

-7 + 56

simple addition gets you to

49

Answer:

49

Step-by-step explanation:

-7+8x7

Use PEMDAS

first multiply 8 and 7 =56

then add -7 and +56

56-7 =49

The integer in the solution set of 5/6m - 4 < 1/3m + 5 that would make it false is 20

The set is given as

S:{−18, 2, 15, 20}

The inequality expression is given as

five sixths m minus four is less than one third m plus 5

Rewrite the inequality expression properly

So, we have

5/6m - 4 < 1/3m + 5

Subtract 1/3m from both sides of the inequality expression

So, we have

1/2m - 4 < 5

Add 4 to both sides of the inequality expression

So, we have

1/2m < 9

Divide both sides of the inequality expression hy 1/2

So, we have

m < 18

This means that the integers in the solution set are integers that are less than 18

These integers are −18, 2, 15

All other integers would make the inequality false

Hence, the solution is 20

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Tom types 600 words in 15 minutes.

What do you mean by minutes?

A 60-second interval of time. In an hour, there are 60 minutes. For illustration, the time 10:35 is 35 minutes after 10 o'clock.

According to the question,

We have the given information:

Tom types 100 words in 2.5 minutes.

Now, we need to find the number of words does he type in 15 minutes,

Words type in 2.5 minutes = 100

Words type in 1 minute = 100/2.5

= 1000/25

= 40 words

Words type in 15 minutes = 40*15

= 600 words

Therefore, tom types 600 words in 15 minutes.

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g(x)=7x

Now

\(\\ \sf\longmapsto g(x)>28\)

\(\\ \sf\longmapsto 7x>28\)

\(\\ \sf\longmapsto x>\dfrac{28}{7}\)

\(\\ \sf\longmapsto x>4\)

Step-by-step explanation:

we have

g(x)=7x

We have to find the value of x when g(x) > 28.

\(\longrightarrow g(x)>28\\\\\longrightarrow 7x> 28\\\\\longrightarrow x> \dfrac{28}{7}\\\\\dashrightarrow x> 4 \)

The probability that more than three throws will be necessary to turn up an ace is 5/6. This is

because the probability of not turning up an ace on each throw is 5/6, and thus the probability of not turning up an ace in more than three throws is the product of all the probabilities, which is (5/6)3 = 125/216.

Therefore, the probability that more than three throws will be necessary is 1 - (125/216) = 91/216.

The probability that more than three throws will be necessary for an ace to turn up can be calculated by finding the probability that an ace will not turn up in the first three throws and then subtracting that from 1.

First, let's find the probability that an ace will not turn up in the first throw. Since there are 6 sides on a dice, and only one of them is an ace, the probability of not getting an ace on the first throw is 5/6.

Next, let's find the probability of not getting an ace on the first two throws. This would be the probability of not getting an ace on the first throw multiplied by the probability of not getting an ace on the second throw, which is (5/6) * (5/6) = 25/36.

Finally, let's find the probability of not getting an ace on the first three throws. This would be the probability of not getting an ace on the first two throws multiplied by the probability of not getting an ace on the third throw, which is (25/36) * (5/6) = 125/216.

Now, to find the probability that more than three throws will be necessary, we subtract the probability of not getting an ace on the first three throws from 1: 1 - (125/216) = 91/216

Therefore, the probability that more than three throws will be necessary for an ace to turn up is 91/216.

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Financial records  are important records and thus, needs to be saved safely. The method for solid system to keep it is: Option d. I, II, and III

Financial records are records of all financial transactions and receipts. They're needed for future cases like some contradictions, to get past details, to analyze data to make prediction about future sale and for development of the organization etc.

For keeping them, they should be saved in an easily accessible, and hardly destroy-able place. So that its prevented safely but accessible faster with correct authentication.

For the given case, for solid system for keeping financial records, we can actually follow all the three steps provided.

I. Making a mental note of all purchases made during the week. II. Recording money spent in a hand-held notebook. III. Organizing receipts and transactions on a computer.

Thus,

The method for solid system to keep it is: Option d. I, II, and III

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Answer:

it do be D

Step-by-step explanation:

Answer:

116/8 - 87/8 = 29/8 = 3 5/8 gal

Step-by-step explanation:

The sales tax rate is 8%.

The correct option is (b).

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Jenny bought scrapbooking supplies for $145.00.

She paid $11.60 in sales tax.

let the tax rate be x%.

So, the price without sales tax = 145 - 11.6 = $133.4

Thus, x% of 133.4 = 11.6

133.4 x = 1160

x = 8.65%

x= 8%

Hence, the tax rate is 8%.

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Answer:

The midpoint of AB is (-0.5, 0)

Step-by-step explanation:

( X1 plus X2 = -1/2 = -0.5, Y1 plus Y2 = 0

Answer:

Equilateral triangle

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is from PLATO

Answer:

Because ΔABC ≅ ΔDEC, ∠B ≅ ∠E by CPCTC which means:

2x + 31 = 7x - 24

-5x = -55

x = 11°.

Answer:

Chamoy

Step-by-step explanation:

585/9= 65

605/11= 55

Step-by-step explanation:

to find the time we need the speed she's driving with

so 406/7 = 58.14 miles per hour

so to drive 754 miles she will drive for 754/58.14= 12.97 hours

Answer:

79.4%

Step-by-step explanation:

the volume of a cylinder is as for any other regular 3D object

base area × height

the base area is for a cylinder a circle.

so, it is

pi×r² × height

the radius (r) is always half of the diameter.

so, volume of cylinder A is

Va = pi×(10/2)² × 8 = pi×25 × 8 = 200pi ft³

the volume of cylinder B is

Vb = pi×(12/2)² × 7 = pi×36 × 7 = 252pi ft³

therefore, in a volume of 252pi ft³ we have 200pi ft³ filled with water.

252pi = 100% filling

1% = 100%/100 = 252pi/100 = 2.52pi

how many % are 200pi ?

as many as times 1% fit into 200pi :

200pi/2.52pi = 200/2.52 = 79.36507937... ≈ 79.4%

Answer:

Cubic feet

Step-by-step explanation:

Answer:

Each student should get 7:75 gallons of water

Step-by-step explanation:

Do 62 divided by 8

Hola!

x = 7 , x = -7

Explicación:

Comienza restando 15 en cada lado:

\(2x^{2} + 15 -15=113-15\)

Usted obtiene:

\(2x^{2} =98\)

Ahora divide ambos lados por 2:

\(\frac{2x^{2} }{2} =\frac{98}{2}\)

Usted obtiene:

\(x^{2} =49\)

Como la ecuación está al cuadrado, tendrás que hacer:

\(x=\sqrt{f(a)} , x=-\sqrt{f(a)}\)

que te da: \(x=\sqrt{49} , x =-\sqrt{49}\)

Entonces:

\(\sqrt{49}=7 , -\sqrt{49} = -7\)

The Kalman filter is a common algorithm used to filter out statistical noise on a GPS.

Statistical noise in the demand of a process is defined as the amount of demand that is purely a result of randomness and could not have been forecasted with the best forecasting method.

Kalman filter is an optimal estimator that makes predictions about the state of a linear dynamic system from a series of measurements that contain statistical noise.

The Kalman filter works by first making a prediction about the current state of the system based on the previous state and the control input. Then, it updates this prediction with the new measurement to obtain an updated estimate of the state. This process is repeated for each new measurement, resulting in a more accurate estimate of the system's state.

In the case of GPS noise, the Kalman filter can be used to reduce the effect of measurement noise on the estimated position of the vehicle. The filter uses the previous position estimate and the control input (e.g., acceleration, steering angle) to predict the current position. This prediction is then updated with the new GPS measurement to obtain an updated position estimate. By repeating this process for each new measurement, the Kalman filter can reduce the effect of GPS noise on the estimated position.

In conclusion, the Kalman filter is a commonly used algorithm for filtering out GPS noise. It works by making predictions about the state of a system based on previous measurements and control inputs and then updating these predictions with new measurements. This results in a more accurate estimate of the system's state, which can be used to reduce the effect of GPS noise on the estimated position of a vehicle.

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Answer:

3

Step-by-step explanation:

Answer:1.5

Step-by-step explanation:

to answer this you need to create a triangle reasonable and esaily readable

do rise over run so 3/2 or 6/4 or 9/6 I think u get the idea

the answer is 3/2 in fraction in simplest form and 1.5 in integer form

PLS give me brainliest

Answer:

(x + 6)(x + 7)

Step-by-step explanation:

To factor the trinomial x^2 + 13x + 42, we need to find two numbers that multiply to 42 and add up to 13.

One way to do this is to list all the pairs of factors of 42 and see which pair adds up to 13:

1, 42 -> 1 + 42 = 43

2, 21 -> 2 + 21 = 23

3, 14 -> 3 + 14 = 17

6, 7 -> 6 + 7 = 13

So the pair of factors that we want is 6 and 7. We can use these numbers to rewrite the middle term of the trinomial:

x^2 + 13x + 42 = x^2 + 6x + 7x + 42

Next, we can group the first two terms and the last two terms:

x^2 + 6x + 7x + 42 = (x^2 + 6x) + (7x + 42)

Now, we can factor out the greatest common factor from each group:

x(x + 6) + 7(x + 6)

Notice that we have a common factor of (x + 6) in both terms. We can factor this out:

(x + 6)(x + 7)