in a school of hundred students, 40 are in the hockey team and 70 are in the football team.
Each student is in at least one team. Find the number of students who are in both teams.​

The surface area of the rectangular prism is 170 square yards.

Surface area is the total area of a three-dimensional shape's surface. Add the areas of all six faces to find the surface area of a cuboid with six rectangular faces. Alternatively, label the cuboid's length (l), width (w), and height (h) and use the formula: surface area (SA)=2lw+2lh+2hw.

To calculate the surface area of the rectangular prism, add the areas of each of its faces.

The front and back faces are 5 yards by 6 yards in size, so each has an area of:

5 yards x 6 yards equals 30 square yards

The top and bottom faces are 5 yards by 5 yards, so each has an area of:

5 yards x 5 yards equals 25 square yards

The two side faces have dimensions of 6 yards by 5 yards, for a total area of:

30 square yards = 6 yards x 5 yards

As a result, the surface area of the rectangular prism is as follows:

Front face area plus back face area plus top face area plus bottom face area plus left side face area plus right side face area

= 30+30+25+25+30+30

= 170 square yards

As a result, the rectangular prism has a surface area of 170 square yards.

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Based on the given data, The shape's whole surface area is about 252 mm².

Based on the image, the shape appears to be a set of rectangles with different lengths and widths.

To find the area of this shape, we can break it down into smaller rectangles and add up their areas.

Starting from the bottom, we can see that the first rectangle has a length of 6 mm and a width of 4 mm. Its area is:

Area1

= 6 mm × 4 mm

= 24 mm²

Moving up to the second rectangle, we see that it has a length of 6 mm and a width of 3 mm. Its area is:

Area2

= 6 mm × 3 mm

= 18 mm²

The third rectangle has a length of 6 mm and a width of 5 mm. Its area is:

Area3

= 6 mm × 5 mm

= 30 mm²

The fourth rectangle has a length of 6 mm and a width of 3 mm. Its area is:

Area4

= 6 mm × 3 mm

= 18 mm²

The fifth rectangle has a length of 6 mm and a width of 15 mm. Its area is:

Area5

= 6 mm × 15 mm

= 90 mm²

The sixth rectangle has a length of 3 mm and a width of 9 mm. Its area is:

Area6

= 3 mm × 9 mm

= 27 mm²

Finally, the seventh rectangle has a length of 5 mm and a width of 9 mm. Its area is:

Area7

= 5 mm × 9 mm

= 45 mm²

To find the total area of the shape, we can add up the areas of all seven rectangles:

Total Area

= Area1 + Area2 + Area3 + Area4 + Area5 + Area6 + Area7

= 24 mm² + 18 mm² + 30 mm² + 18 mm² + 90 mm² + 27 mm² + 45 mm²

= 252 mm²

Therefore, the total area of the shape is approximately 252 mm².

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Answer:

[tex]\boxed{x=0}[/tex]

Step-by-step explanation:

We need solve for x

[tex]3=x+3-5x[/tex]

substract 3 to both sides of the equation:

[tex]3-3=x+3-5x-3\\0=-4x[/tex]

divide both sides of the equation by -4

[tex]\frac{0}{-4}=\frac{-4x}{-4}\\0=x\\\equiv x=0[/tex]

The value of "x" that satisfies the equation is x=0,

[tex]\text{-B$\mathfrak{randon}$VN}[/tex]

Answer:

Step-by-step explanation:

which band?

Answer:

False.

Step-by-step explanation:

A triangle's two smaller sides have to add to be bigger than the larger side.

Answer:

False, that cannot exist by the hypotenuse rule

Hope it helps!

Answer:

x = 0

y = 4

Step-by-step explanation:

x + 3y = 12                       x = -2y + 8

-2y + 8 + 3y = 12

y + 8 = 12

y = 4

Now put 4 in for y and solve for x

x + 3(4) = 12    

x + 12 = 12

x = 0

Let's Check

0 + 3(4) = 12    

12 = 12

So, x = 0 and y = 4 is the correct answer!

Answer:

If a quadratic equation has solutions of -3 and -4, then it can be written in factored form as:

(x + 3)(x + 4) = 0

To convert this to standard form, we can multiply out the factors:

x^2 + 7x + 12 = 0

Therefore, the quadratic equation in standard form that has solutions of -3 and -4 is:

x^2 + 7x + 12 = 0

Te surface area of the smaller figure based on the ratio is 1600m²

The ratio of the volumes of two similar figures is equal to the cube of the ratio of their corresponding sides.

Let x be the scale factor between the smaller and larger figures.

Then we have:

(x³)/(4000) = 6912

x³ = 6912/4000

x³ = 1.728

Taking the cube root of both sides, we get:

x = 1.2

So the scale factor from the larger figure to the smaller figure is 1:1.2.

The surface area of a similar figure is proportional to the square of the scale factor.

So we can use the scale factor to find the ratio of the surface areas:

SA(smaller) / SA(larger) = 1/(1.2)²

We know that the surface area of the larger figure is 2304m^2, so we can solve for the surface area of the smaller figure:

SA(smaller) = 2304 * 1/(1.2)²

SA(smaller) = 1600m²

Therefore, the surface area of the smaller figure is 1600m²

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Using  the substitution method, the solution of the system of equations -4x + y = 3 and 5x - 2y = -9 is (x, y) = (1, 7)

We can solve this system of equations using the substitution method by solving for one variable in terms of the other in one equation, and then substituting that expression into the other equation. Here's how:

-4x + y = 3 (Equation 1)

5x - 2y = -9 (Equation 2)

Solving Equation 1 for y, we get:

y = 4x + 3

Now, we substitute this expression for y into Equation 2 and solve for x:

5x - 2(4x + 3) = -9

5x - 8x - 6 = -9

-3x = -3

x = 1

We have found the value of x to be 1. Now, we substitute this value back into Equation 1 to find the value of y:

-4(1) + y = 3

y = 7

Therefore, the solution to the system of equations is (x, y) = (1, 7)

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Answer:

a. To write a linear function that relates the length of hair to the number of months, we need to find the slope and y-intercept of the line that passes through the given points. We can use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.

Using the given data, we can find the slope as:

m = (y2 - y1) / (x2 - x1) = (14.0 - 11.0) / (6 - 0) = 0.5

And we can find the y-intercept as:

b = y - mx = 11.0 - 0.5(0) = 11.0

So, the linear function that relates the length of hair to the number of months is:

y = 0.5x + 11.0

We can also graph this function as a straight line, passing through the given points (0, 11.0), (3, 12.5) and (6, 14.0), as shown below:

linear function graph

b. The slope of the function is 0.5, which means that the length of hair increases by 0.5 inches every month. In other words, the slope represents the rate of change of hair length with respect to time.

The y-intercept of the function is 11.0, which means that if the person doesn't cut their hair at all (i.e., x = 0), their hair length would still be 11.0 inches. In other words, the y-intercept represents the starting value of the hair length.

(please mark my answer as brainliest)

The cost of each store in two months is: Store A is 4281, Store B is 5485, Store C is 3153, and Store D is 6413.

To calculate the total number of pets delivered over the period of 2 months to each store, we need to add the corresponding elements of matrix K and matrix L. The result will be a new matrix representing the total number of pets delivered to each store.

So, we have: Matrix K:

| 8 4 3 |

| 2 1 3 |

| 1 3 2 |

| 7 2 6 |

Matrix L:

| 1 3 2 |

| 8 4 9 |

| 2 6 3 |

| 4 9 2 |

Total pets delivered to each store:

| 9 7 5 |

| 10 5 12 |

| 3 9 5 |

| 11 11 8 |

To calculate the cost of each store in two months, we need to multiply the total number of pets delivered to each store by the price of each type of drink, as given by the matrix:

| 225 195 212 |

So, the cost of each store in two months is:

Store A: (9 × 225) + (7 × 195) + (5 × 212) = 4281

Store B: (10 × 225) + (5 × 195) + (12 × 212) = 5485

Store C: (3 × 225) + (9 × 195) + (5 × 212) = 3153

Store D: (11 × 225) + (11 × 195) + (8 × 212) = 6413

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Answer: 38 I think if it's not right I'm sorry I'm bad at math that's like the only thing I suck at

Step-by-step explanation:

The listed price of the TV that Wayne bought was $947.37

Here we know that Wayne pays $660 for a TV whose price was marked down by (30 + 1/3)%

We can rewrite that discount as 0.30333... in a decimal form (get that just by dividing the percentage by 100%)

Then if the lited price of the TV is P, we can write the equation for the discount as follows:

660  = P*(1 - 0.3033...)

The number that we subtract is the percentage in decimal form.

Solving this for P gives:

P = 660/(1- 0.3033...) = 947.37

The listed price was 947.37 dollars.

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Answer:

2x=5 > -14

Step-by-step explanation:

6(x - 2) -3 ≥ -4 ( -3 + 9) +10​
6x-12-3 > 12-36+10
6x-15 > -36+22
6x-15 > -14
6x=15 > -14
3    3        
2x=5 > -14

By dividing we get: -6/2 ÷ 5 = -6/10 = -3/5, -4/3 ÷ 7 = -4/21, -224 ÷ 155 = -1.445, 224 ÷ 155 = 1.448, -519/35 = -14.83, 519/35 = 14.83.

.

To divide fractions, we need to remember the rule: "invert and multiply." This means that we take the reciprocal of the second fraction and then multiply it by the first fraction. For example, to divide -6/5 by 2/5, we invert 2/5 to get 5/2 and then multiply it by -6/5 to get -6/5 x 5/2 = -15/2. Similarly, to divide 224/155 by -1, we invert -1 to get -1/1 and then multiply it by 224/155 to get -224/155. To divide 519/35 by itself, we simply get 1 as the answer.

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Complete question:

Divide:

1. negative 6 and 2 over 5

2. negative 4 and 3 over 7

3. negative 224 over 155

4. 224 over 155

5. negative 519 over 35

6. 519 over 35

last one is the answer

Step-by-step explanation:

not a function because every input has more than 1 output

The linear relationship of Maggie crocheting squares is y = 6 + 6x graph (b)

Let x be the number of hours Maggie spends crocheting squares, and let y be the total number of squares she has made.

Initially, Maggie has 6 squares made,

so y = 6 when x = 0.

For each hour that she spends crocheting squares, Maggie makes 6 more squares.

Therefore, the relationship between x and y is:

y = 6 + 6x

This is a linear relationship with a slope of 6, which means that Maggie is crocheting squares at a rate of 6 squares per hour.

This is represented by graph (b)

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The fraction of the guests are 10 or 11 years old is 5/6

A fraction represents a part of a whole, where the whole is divided into equal parts.

To find the fraction of guests who are 10 or 11 years old, we need to add the fractions of guests who are 10 years old and 11 years old.

3/12 of the guests are 10 years old, which can be simplified to 1/4.

7/12 of the guests are 11 years old.

Therefore, the fraction of guests who are 10 or 11 years old is

1/4 + 7/12 = 3/12 + 7/12

Add the fractions

= 10/12

Simplify the fraction

= 5/6

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If the cost price of 20 articles is the same as selling price of 16 articles, then the gain percentage is 25%

To find the gain percent, we first need to calculate the profit earned on the sale of the 16 articles.

Let the cost price of each article be "C" and the selling price of each article be "S".

Given that the cost price of 20 articles is the same as the selling price of 16 articles, we can write:

20C = 16S

We can simplify this equation to:

S = (20/16)C = (5/4)C

Now, let's calculate the profit earned on the sale of 16 articles:

Profit = Total Selling Price - Total Cost Price

Profit = 16S - 20C

Profit = 16(5/4)C - 20C

Profit = 5C/2

The profit earned is 5C/2. The profit percent can be calculated as:

Profit Percent = (Profit / Cost Price) x 100

Profit Percent = (5C/2) / (20C) x 100

Profit Percent = 25%

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Answer: 23 degrees

Step-by-step explanation:

Assuming that 117 is the entire angle we can find that:

94+x = 117

Subtract 94 from both sides:

x = 117-94

x = 23 degrees

Sure! I can help you with that.

First, we should calculate the profit made by the shopkeeper. To calculate the profit, we will multiply the selling price of the table with 20%, which is 20% of 5400, or 1080.

Next, we should subtract the profit from the selling price to find the cost price of the table.

The cost price of the table = 5400 - 1080

The cost price of the table = 4320

Therefore, the cost price of the table is ₹ 4320.

Answer:

2 9/14

Step-by-step explanation:

The domain and range of the function f(x) =a^x, then option (c)  Domain = positive real numbers, range = positive real numbers.

The function f(x) = a^x is an exponential function with a base of a, where a is a positive real number. The domain of the function is all real numbers, because we can raise a positive number to any real power.

However, since a is positive, a^x will always be positive, which means that the range of the function is also positive real numbers. Therefore, the correct option is c. Domain = positive real numbers, range = positive real numbers.

Therefore, the correct option is (c) Domain = positive real numbers, range = positive real numbers.

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The speed of car is found as : 1 of 1140 miles per minutes.

The total number of miles the car will travel in 20 minutes is: 1 / 50 miles.

The same attribute is expressed using a unit conversion, but in a diverse unit of measurement.

For e.g., time can be highlighted in minutes rather than hours, and distance can be verbalized in kilometers, feet, or another comparable measurement unit instead of miles.

Speed of car =  3 of 57 miles per hour.

Speed of car =  3 mi / 57 hr

We know, 1 hour = 60 minutes;

So,

Speed of car =  3 mi / 57*60 min

Speed of car =  1 mi / 57*20 min

Speed of car =  1 mi / 1140 min

Thus, the speed of car is found as : 1 of 1140 miles per minutes.

In 20 minute:

Number of miles = 1 mi / 1140 min * 20 min

Number of miles = 20 / 1140 min

Number of miles = 1 / 50 miles

Thus, the total number of miles the car will travel in 20 minutes is: 1 / 50 miles.

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Answer:

e. 8/00 ggg： What sum of money amounts to Rs. 8700 in 3 years at the rate of 24% per annum? [Ans: Rs. 5058.14]

Step-by-step explanation:

The populations of the listed countries are

India is 1.366 billion

China is 1.397 billion

Argentina is 45 million

the United States is 332 million

and Egypt is 102 million people.

Let's start with India. According to the World Bank, India's population is approximately 1.366 billion people, which is the second-largest population in the world after China. India's land area is approximately 1.269 million square miles.

Moving on to China, it has the largest population in the world, with approximately 1.397 billion people. China's land area is approximately 3.705 million square miles, making it the fourth-largest country in terms of land area.

Argentina, on the other hand, has a population of approximately 45 million people, with a land area of approximately 1.073 million square miles. This makes it the eighth-largest country in the world in terms of land area.

The United States has a population of approximately 332 million people, and its land area is approximately 3.796 million square miles. It is the third-largest country in terms of land area and the fourth-largest in terms of population.

Lastly, Egypt has a population of approximately 102 million people, with a land area of approximately 386 thousand square miles. It is the 30th largest country in terms of land area and the 14th most populous country in the world.

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The value of the double integral using the easier order, ydA bounded by y = x − 6; x = y² is 125/12.

The double integral, indicated by ', is mostly used to calculate the surface area of a two-dimensional figure. By using double integration, we may quickly determine the area of a rectangular region. If we understand simple integration, we can easily tackle double integration difficulties. Hence, first and foremost, we will go over some fundamental integration guidelines.

Given, the double integral ∫∫yA and the region y = x-6 and x = y²

y = x-6

x = y²

y² = y +6

y² - y - 6 = 0

y² - 3y +2y - 6 = 0

(y-3) (y+2) = 0

y = 3 and y = -2

[tex]\int\int\limits_\triangle {y} \, dA\\ \\[/tex]

= [tex]\int\limits^3_2 {y(y+6-y^2)} \, dx \\\\\int\limits^3_2 {(y^2+6y-y^3)} \, dx \\\\(\frac{y^3}{3} + 3y^2-\frac{y^4}{4} )_-_2^3\\\\\frac{63}{4} -\frac{16}{3} \\\\\frac{125}{12}[/tex]

The value for the double integral is 125/12.

Integration is an important aspect of calculus, and there are many different forms of integrations, such as basic integration, double integration, and triple integration. We often utilise integral calculus to determine the area and volume on a very big scale that simple formulae or calculations cannot.

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The probability density function (PDF) of Y can be determined by the transformation of the PDF of X. Using the transformation rule, we can calculate that fy(y) = fx(x) |dx/dy|, where x is a function of y, since y = Fx(x).

We can use the Chain Rule to determine the derivative of x with respect to y. Since Fx is a monotone increasing function, dx/dy = 1/F'x(x). Substituting this into the transformation rule, fy(y) = fx(x) / F'x(x).

Therefore, to find fy(y), we need to calculate F'x(x). Fx is the cumulative distribution function, which means that its derivative F'x(x) is the probability density function of X, or fx(x). Substituting this into the transformation rule, fy(y) = fx(x) / fx(x). Since fx(x) = fx(2) and fx(2) is a constant, fy(y) = 1/fx(2).

To summarize, the probability density function of Y is given by fy(y) = 1/fx(2).

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The specificity of the test based on the given screening results is 0.967 (rounded to three decimal places).

To calculate the specificity, divide the number of true negatives (TN) by the total number of negative results (TN+FP). In this case, that would be 687/(687+22), which is equal to 0.967 (rounded to three decimal places).

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According to the given information, the solution to H(x) = 3 is x = 2.

What is equation?

In mathematics, an equation is a statement that asserts the equality of two expressions. An equation typically consists of two parts: the left-hand side (LHS) and the right-hand side (RHS). The LHS and RHS are separated by an equals sign (=), indicating that they have the same value. The general form of an equation is: LHS = RHS

To solve for x when H(x) = 3, we substitute 3 for H(x) in the equation and solve for x:

H(x) = -x + 5

3 = -x + 5

Subtracting 5 from both sides, we get:

-2 = -x

Multiplying both sides by -1, we get:

2 = x

Therefore, the solution to H(x) = 3 is x = 2.

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathtt{h(x) = -x + 5}\\\\\mathtt{3 = -x + 5}\\\\\mathtt{-x + 5 = 3}\\\\\textsf{SUBTRACT 5 to BOTH SIDES}\\\\\mathtt{-x + 5 - 5 = 3 - 5}\\\\\textsf{SIMPLIFY it}\\\\\mathtt{-x = 3 - 5}\\\\\mathtt{-x = -2}\\\\\mathtt{-1x = -2}\\\\\textsf{DIVIDE }\mathsf{-1}\textsf{ to BOTH SIDES}\\\\\mathtt{\dfrac{-1x}{-1} = \dfrac{-2}{-1}}\\\\\textsf{SIMPLIFY it}\\\\\mathtt{x = \dfrac{-2}{-1}}\\\\\mathtt{x = 2}[/tex]

[tex]\huge\text{Therefore your answer should be:}\\\\\huge\boxed{\mathtt{x = 2}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]