An artist recreated a famous painting using a 4:1 scale. The dimensions of the scaled painting are 8 inches by 10 inches. What are the dimensions of the actual painting?

40 inches by 50 inches
32 inches by 40 inches
12 inches by 14 inches
2 inches by 2.5 inches

By using the concepts of Probability, we got 36 eggs this chicken would lay in 30 days

We know very well that if any of chicken produces eggs ,it means that that days will be counted.

So on each days, there will be three possibility

So, any of the incident may occurs, so we account every incidents.

So, let suppose number of eggs after 30 days is X;

=> X = [(30×0)×(Probability of producing zero egg)] + [30×1×(Probability of           Producing single egg)] + [30×2×(Probability of producing two eggs)]

We are given Probability of Producing single egg=40/100

and Probability of Producing two eggs=40/100

Therefore,

=>X=[ 0+(\(\frac{40}{100}\)×30)+(\(\frac{40}{100}\)×2×30)]

=>X=[0+(1200/100)+(2400/100)]

=>X=0+12+24

=>X=36

So number of eggs after 30 days=X=36.

After solving the the above equation we get 36 eggs,

Hence, total number of eggs would lay by chicken in 30 days is 36.

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Answer:

12 hours

Step-by-step explanation:

Time taken by pipe A = 24 hours

Time taken by pipe B = 36 hours

Time taken by pipe C = 32 hours

To find:

How long would it take the three pipes to fill the pool if pipe B is turned on 3 hours after pipe A and pipe C is turned on 1 hour after pipe B?

Solution:

First of all, let us assume the total capacity of the pool.

Let us take LCM of 24, 36 and 32.

LCM of 24, 36 and 32 = 288

Let the total capacity of the pool = 288 units

Total units filled by pipe A in one hour = \(\frac{288}{24} = 12\ units\)

Total units filled by pipe B in one hour = \(\frac{288}{36} = 8\ units\)

Total units filled by pipe C in one hour = \(\frac{288}{32} = 9\ units\)

Now, for the first 3 hours, only pipe A operates, so units filled in first three hours = \(12\times 3 =36\ units\)

For the next one hour, A and B both operate together, so units filled in the next 1 hour = 12 + 8 = 20 units

Total number of units filled in 4 hours = 36 + 20 = 56 units

Units to be filled to completely fill the pool = 288 - 56 = 232 units

Now, after the 4th hours, all the pipes operate together.

So, number of units filled in each hour = 12 + 8 + 9 = 29 units

Time taken to fill 232 units = \(\frac{232}{29} = 8\ hours\)

Total time taken = 4 + 8 = 12 hours

Answer:

18

Step-by-step explanation:

the answer is 18 because when you multiply two negative numbers, the result is the same as if the two numbers were positive.

Therefore, -9x-2=9x2=18

Answer:

18

Step-by-step explanation:

(-9)-2

negative times a negtive = positive

9 *2 = 18

The rate of change of the area of the right triangle at that instant is -1.5 sq km/h.

Let ABC be a right triangle, right-angled at B.

the side decreasing be, BC = x

and the increasing side be, AB = y

then, AC = z = √(x² + y²) (using Pythagoras theorem)

It is given that, dx/dt = - 5km/h and dy/dt = 14 km/h

x = 3, y= 9 at certain instant

now, the area of the triangle = 1/2 xy

A = 1/2 xy

dA/dt = 1/2 (y).dx/dt + x/2.dy/dt

at x = 3, y = 9, substituting the values,

(dA/dt) = 1/2 (9)(-5) + 3/2 (14)

= -1.5

therefore, the rate of change of the area of the right triangle at the instant when x=3 and y= 9 is -1.5 sq km/h.

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Answer:

13.33 is the answer im pretty sure

Step-by-step explanation:

Answer:

13.3

Step-by-step explanation:

1. If it's possible - try cutting the number down to 10%-:

    We can do that by dividing 12 by 9, which would give us 10% of that

     number.

2. We get 1.33, which is 10% of the number. To get 100 percent, we just need to multiply by 10

3: 1.33*10 is 13.3, so the answer has to be 13.3

Answer:

I will try to help but where us ur question ¿

it's 2√6 or 4,89898 you just need to simplify

Answer:

Step-by-step explanation:

all you have to do is Divide both sides by -4

-4x=16

-4x/-4=-16/-4

Answer

x=-4

Answer:

X= -4

Hope it helps

Have a good day Ahead

Answer:

11 ; 2 ; 4 ; 6

Step-by-step explanation:

1) look at the constant with the highest degree (11)

2) look at the coefficent that mutiplies the constant with the highest degree (2)

3) Count the terms that are separated  by minus or plus (4)

4) look at the therm without variable (6)

The value of the midpoint between (1, 2) and (11,12) is,

⇒ (6, 7)\

We have to given that;

To find the midpoint between (1,2) and (11,12).

Since, A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.

Now, By definition of midpoint, we get;

The midpoint between (1,2) and (11,12) is,

⇒ (1 + 11)/2, (2 + 12) / 2

⇒ (12/2, 14/2)

⇒ (6, 7)

Thus, The value of the midpoint between (1, 2) and (11,12) is,

⇒ (6, 7)\

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The number of students on each row is 11

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

Boys = 80

Girls = 96

Next, we take the GCF of 80 and 96

This is represented as

Boys = 2 * 2 * 2 * 2 * 5

Girls = 2 * 2 * 2 * 2 * 2 * 3

So, we have

GCF = 2 * 2 * 2 * 2

Evaluate

GCF = 16

The number of students on each row is

Students = Boys/GCF + Girls/GCF

So, we have

Students = 80/16 + 96/16

Evaluate

Students = 11

Hence, the students are 11

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Answer:

The average monthly payment would be most affected by Mark's observation of one significantly lower payment. The reason is that the average is calculated by summing all the payments and dividing by the total number of payments, so any extreme values (such as the significantly lower payment) can have a substantial impact on the average value.

Step-by-step explanation:

Answer:

(AD)^2=(AB)^2-(BD)^2

(AD)^2=(15)^2-(12)^2

(AD)^2=225-144

AD=√81

AD=9.

Answer:

a) 15 000 litres

b) 1/3

Step-by-step explanation:

a) Since the pool has 7500 litres when half full, it must have double that when full.

7500 * 2 = 15 000

b) Since the full pool is 15000, when the pool has 5000 litres it has 5000 out of 15000, hence the fraction 5000/15000 which simplifies to 1/3.

Simplification: divide the numerator and denominator by 5000.

Answer:

a) 15000

b) 1/3

Step-by-step explanation:

If it is true that 60 percent of the trees in a forested region are classified as softwood, 0.015 is the probability of obtaining a sample proportion as large as or larger than the one obtained by the botanist.The correct answer is option C

The P-value is the probability of obtaining an outcome as extreme or more extreme than the one actually observed given that the null hypothesis is true. In this case, the null hypothesis is that the proportion of trees classified as softwood is 0.60. The P-value of 0.015 indicates that the probability of obtaining a sample proportion as large as or larger than the one obtained by the botanist is 0.015 if the null hypothesis is true.

Therefore, the P-value is an indicator of how well the sample data supports the null hypothesis. In this case, the P-value of 0.015 is lower than the commonly accepted significance level of 0.05, which indicates that the sample data does not support the null hypothesis and suggests that the proportion of trees classified as softwood is actually greater than 0.60.

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Answer:

Subtracting 7

Step-by-step explanation:

Given:

Clara is stacking cups; she put 45 plastic cups in the first stack, 38 plastic cups in the second stack, 31 plastic cups in the third stack, and 24 plastic cups in the fourth stack.

To Find:

What kind of sequence is this?

Solve:

Let's make a table:

[1 stack]  45

[2 stack] 38

[3 stack] 31

[4 stack] 24

Now all we have to do is subtract to see what each is:

45 - 38 = 7

38 - 31 = 7

31 - 24 = 7

Thus,

[1 stack]  45 ⇒ 7

[2 stack] 38 ⇒ 7

[3 stack] 31 ⇒ 7

[4 stack] 24 ⇒ 7

Hence, each stack is going down by 7.

Kavinsky

The expression of the mathematical statement is 3x + 4 = 12x - 14 and the solution is x = 2

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

The product of a number and three increased by four is the same as......

When represented as an expression

We have

3x + 4 = 12x - 14

Where the number is represented by x

Collect the like terms

So, we have

12x - 3x = 14 4

Evaluate

9x = 18

Divide by 9

x = 2

Hence, the mathematical statement when expressed as an expression is 3x + 4 = 12x - 14

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Answer:

\(\huge\boxed{x=\frac{W}{3y}}\)

Step-by-step explanation:

If we have the equation \(3xy=W\) and we want to solve for x, our goal is to isolate x one one side of the equation.

The question we have to ask ourself is ”What’s stopping x from being isolated?”

That would be the 3 and the y.

Since we’re multiplying x by the 3 and the y, we can divide both sides by the 3 and the y to get x isolated.

\(3xy \div 3y = w \div 3y\)

\(x = \frac{W}{3y}\)

Hope this helped!

The approximate area to the left of z = 0.15​ is 0.56

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

The left of z= 20.15

The area to the left of z is calculated by calculating the probability that the z-score is less than 0.15

In other words, this is represented as

Area = (z < 0.15)

This can then be calculated using a statistical calculator or a table of z-scores,

Using a statistical calculator, we have the area to be

Area =  0.55962

When this value is approximated, we have the approximated area to ve

Area =  0.56

Hence, the area is 0.56

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Answer:

To solve for x in the equation 8x + 7 = 6x + 15, you need to isolate the variable (x) on one side of the equation.

First, you can start by subtracting 6x from both sides of the equation to get:

8x + 7 - 6x = 15

Simplifying this gives: 2x + 7 = 15

Next, you can subtract 7 from both sides of the equation to get: 2x = 8

Finally, divide both sides of the equation by 2 to solve for x: x = 4

Therefore, the solution for x in the equation 8x + 7 = 6x + 15 is x = 4

Answer:

x = 4

Step-by-step explanation:

To solve the equation 8x + 7 = 6x + 15, you can start by isolating the variable on one side of the equation. To do this, you can subtract 6x from both sides of the equation to get 2x + 7 = 15. Then, you can subtract 7 from both sides of the equation to get 2x = 8. Finally, you can divide both sides of the equation by 2 to get x = 4 1.

I hope that helps!

Brahe's concept of the planetary system was most like that of the geocentric model

Brahe suggested a hybrid model that integrated parts of the heliocentric and geocentric systems based on his highly exact and accurate observations and measurements of planetary motion.

Brahe said that while the Sun orbited the Earth, the planets revolved around the Sun.

The Tychonic system was a theory that attempted to balance the planets' known motions with the widely held notion that the Earth was fixed.

Brahe's painstaking observations set the groundwork for our current comprehension of planetary motion, even though his model was subsequently supplanted by the heliocentric theory put forward by Copernicus and improved upon by Kepler.

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Answer: x=14

Step-by-step explanation:Simplify both sides of the equation(Distribute),Subtract 4/5 from both sides.Multiply both sides by 5/(-1).

Answer:

To complete the same work in 48 days working 10 hours a day, 40 additional women must be added. This is calculated by multiplying the number of days (60) by the number of hours worked per day (9) and dividing it by the number of days required (48) multiplied by the number of hours worked per day (10). This gives a total of 80 women.

The equation that can be used to find y, the year in which both bodies of water have the same amount of mercury is 0.05 + 0.1y = 0.12 + 0.06y. Hence, the 3rd option is the right choice.

In the question, we have been asked for the equation that can be used to find y, the year in which both bodies of water have the same amount of mercury.

First, we will find the equations showing the level of mercury in each body of water.

For the first water body:

Initial measure of mercury = 0.05 ppb.

Rate of rising = 0.1 ppb each year.

Number of years = y.

Thus, the equation showing level of mercury = 0.05 + 0.1y.

For the second water body:

Initial measure of mercury = 0.12 ppb.

Rate of rising = 0.06 ppb each year.

Number of years = y.

Thus, the equation showing level of mercury = 0.12 + 0.06y.

We are looking for the equation, to find y, the year in which both bodies of water have the same amount of mercury.

As they will have the same amount of mercury, their respective equations showing the level of mercury should be equal, that is:

0.05 + 0.1y = 0.12 + 0.06y, which is the required equation.

Thus, the equation that can be used to find y, the year in which both bodies of water have the same amount of mercury is 0.05 + 0.1y = 0.12 + 0.06y. Hence, the 3rd option is the right choice.

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For the complete question, refer to the attachment.

The volume of the figure is 3, 718 cubic units

It is important to note that the formula for determining the volume of  a right rectangular prism is expressed as;

V = whl

Where;

Now, we have the dimensions as;

Height = 8 + 18 = 26 units

Width = 11 units

length = 13 units

Substitute the values

Volume = 11 × 1 3× 26

Volume = 3, 718 cubic units

Hence, the value is  3, 718 cubic units

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Answer:

x= 27.4

Step-by-step explanation:

a triangle's angles always equal 180 so

34.6+118+x=180

add 34.6 and 118 to get

152.6+x=180

subtract both sides by 152.6 to get

x=27.4

John Barker's repair shop in Ontario is required to calculate the HST payable or refund for the first reporting period. The HST rate is 13% and the amount before HST sales is $150,000. The total HST collected from sales is $19,500 and the total ITCs are $19,790. The net HST payable/refund is $19,500 - $19,790 and the correct option is d) A refund of $5,980.

Given the following information for John Barker's repair shop in Ontario, we are required to calculate the HST payable or refund for the first reporting period. The HST rate for Ontario is 13%.Amount Before HST Sales $150,000 Equipment purchased $96,000 Supplies purchased $83,000 Wages paid $19,000 Rent paid $17,000Let's calculate the total HST collected from sales:

Total HST collected from Sales= HST Rate x Amount before HST Sales

Total HST collected from Sales= 13% x $150,000

Total HST collected from Sales= $19,500

Let's calculate the total ITCs for John Barker's repair shop:Input tax credits (ITCs) are the HST that a business pays on purchases made for the business. ITCs reduce the amount of HST payable. ITCs = (HST paid on eligible business purchases) - (HST paid on non-eligible business purchases)For John Barker's repair shop, all purchases are for business purposes. Hence, the ITCs are the total HST paid on purchases.

Total HST paid on purchases= HST rate x (equipment purchased + supplies purchased)

Total HST paid on purchases= 13% x ($96,000 + $83,000)

Total HST paid on purchases= $19,790

Let's calculate the net HST payable or refund:

Net HST payable/refund = Total HST collected from sales - Total ITCs

Net HST payable/refund = $19,500 - $19,790Net HST payable/refund

= -$290 Since the Net HST payable/refund is negative,

it implies that John Barker's repair shop is eligible for an HST refund. Hence, the correct option is d) A refund of $5,980.

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Answer:

x=-1, y=2

Step-by-step explanation:

2(2x+4)=6x+10

2x=-2

x=-1

y=2(-1)+4

y=2