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2

In a high school stadium there are 750 seats. There are twice as many seats in the home

section as there are in the visitor section. Which system of equations could be used to

determine the number of seats in the home section, h, and the number of seats in the

visitor section, v, in the stadium?



PLEASE HELP HURRY PLEASEEE

Answer: 3/52

Step-by-step explanation:

You want to pick a diamond jack, diamond queen or diamond king

There are only 3 of those so

P(DJ or DQ or DK) = 3/52        There are 3 of those out of 52 total

The ratio of Nathan's nickels to dimes to quarters is 4 : 4 : 17.

Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within other value(s).

The ratio = 8 : 8 : 34 = 4 : 4 : 17

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4 liters of 15% salt and 6 liters of 25% salt is needed to produce 10 L of 21% salt solution.

Let x represent the amount of 15% salt solution in Liters and let y represent the amount of 25% salt solution in liters.

Since a total of 10L of 21% salt solution is needed, hence:

x + y = 10       (1)

Also, the second equation is given by:

15% of x + 25% of y = 21% of 10          

0.15x + 0.25y = 2.1          (2)

We need to solve both equation 1 and equation 2 simultaneously. Multiply equation 1 by 0.15 and subtract from equation 2:

0.1y = 0.6

y = 6 liters

Put y = 6 in equation 1:

x + 6 = 10

x = 4 liters

Therefore 4 liters of 15% salt and 6 liters of 25% salt is needed to produce 10 L of 21% salt solution.

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If there are 1,000 phones in total and 100 of them have between 200 and 249 songs while 600 of them have between 150 and 199 songs, then there are more phones with between 150 and 199 songs.

We cannot determine whether there are more phones that have between 200 and 249 songs stored on them than have between 150 and 199 songs without additional information.

For example, if there are 1,000 phones in total and 500 of them have between 200 and 249 songs while 200 of them have between 150 and 199 songs, then there are more phones with between 200 and 249 songs. However, if there are 1,000 phones in total and 100 of them have between 200 and 249 songs while 600 of them have between 150 and 199 songs, then there are more phones with between 150 and 199 songs.

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Answer: Length = 17 ft

Concept:

Here, we need to know how to find the perimeter of a rectangle.

Perimeter (rectangle) = 2 (l + w)

l = length

w = width

If you are still confused, you may refer to the attachment below for a graphical explanation or tell me.

Solve:

**Disclaimer** I assume that the length is [3 feet longer than twice its width] because a [yard] would not use length to measure it. If it was, then you may refer to my answer. If it was not, then you may tell me and I will redo it.

Let x be the width

Let 2x + 3 be the length

Given information

Perimeter = 48 ft

width = x

length = 2x + 3

Given expression deducted from the question

Perimeter = 2 (l + w)

Substitute values into the expression

48 = 2 (2x + 3 + x)

Combine like terms in the parentheses

48 = 2 (2x + x + 3)

48 = 2 (3x + 3)

Expand parentheses and apply the distributive property

48 = 2 · 3x + 2 · 3

48 = 6x + 6

Subtract 6 on both sides

48 - 6 = 6x + 6 - 6

42 = 6x

Divide 6 on both sides

42 / 6 = 6x / 6

x = 7

Find the value of length

Length = 2x + 3 = 2(7) + 3 = 14 + 3 = \(\boxed{17}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Step-by-step explanation:

y = -3x + 7

since the slope of the line AB = (4 - 2) /( 3 - (-3)) = 1/3

slope of line perpendicular to AB will be -3

Step-by-step explanation:

The y-axis reflection line will be horizontal. Take each plotted point and make it an equal distance from the y-axis (0, The reflection line will match the x-axis) you will then have the reflection.

Answer:

x = 4

Step-by-step explanation:

Subtract 1 from both sides:

10x = 40

Divide both sides by 10:

x = 4

Answer:

x= c/a+b

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

the new image would increase in size not reduce

The triangles with the given side lengths are classified as follows:

The ordered side lengths of the triangles are given as follows:

a, b and c.

Considering these side lengths, the triangles are classified as follows:

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The total income of the entire population is rising at a rate of $18.16 billion per year in 1997.

In this problem, we are given the population of a country and its annual growth rate, as well as the average annual income of a person and its growth rate. We need to determine how quickly the total income of the entire population is rising in 1997.

First, let's calculate the total population growth in 1997:

Population in 1997 = 20 million

Population growth rate = 0.2 million per year

So, the population in 1998 will be:

Population in 1998 = 20 million + 0.2 million = 20.2 million

Now, let's calculate the average income growth in 1997:

Average income in 1997 = $15,000 per year

Income growth rate = $800 per year

So, the average income in 1998 will be:

Average income in 1998 = $15,000 + $800 = $15,800 per year

Next, we need to calculate the total income of the entire population in 1997:

Total income in 1997 = Population in 1997 x Average income in 1997

Total income in 1997 = 20 million x $15,000 = $300 billion per year

Now, let's calculate the total income of the entire population in 1998:

Total income in 1998 = Population in 1998 x Average income in 1998

Total income in 1998 = 20.2 million x $15,800 = $318.16 billion per year

Finally, we can determine how quickly the total income of the entire population is rising in 1997:

Total income growth rate = (Total income in 1998 - Total income in 1997) / 1 year

Total income growth rate = ($318.16 billion - $300 billion) / 1 year

Total income growth rate = $18.16 billion per year

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Answer:

D. All whole numbers less than or equal to 31

Step-by-step explanation:

The x value in this situation is the number of years after 1970 and until 2001.

This means that the domain will be the number of years after 1970 and until 2001.

Since the situation calculates the value of land in years after 1970, the domain will start at 0. Since it is until 2001, which is 31 years after 1970, the domain will go up to 31.

So, the domain will include all whole numbers less than or equal to 31.

The correct answer is D. All whole numbers less than or equal to 31

The domain of the function is a real number from 1971 to 2001. Then the correct option is B.

Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.

The value of a piece of land in a town is increasing every year.

Its value, in dollars, in t years after 1970 and until 2001 can be modeled by the function

\(\rm y = 31, 000(1.001) ^ t\)

Then the domain of the function will be

All real numbers are greater than or equal to 1971 and less than or equal to 2001.

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Answer:

\(m = \frac{4}{5} \\ from \: \: y = mx + c \\ at \: (0,5) \: \: \\ 5 = 0 \times \frac{4}{5} + c \\ c = 5 \\ equation \: is \: \: y = \frac{4}{5} x + 5\)

Vertical angles are a pair of non-adjacent angles formed by the intersection of two lines. They are equal in measure. The value of y is 25.

In this case, we are given two vertical angles with measures (2y + 5)° and (4y)°. Since they are equal, we can set up an equation to find the value of y.

(2y + 5)° = (4y)°

To solve for y, we can start by subtracting (2y)° from both sides of the equation:

5° = 2y°

Next, divide both sides of the equation by 2 to isolate y:

2.5° = y°

Therefore, the value of y is 2.5° or 25.

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The equation could be used to solve for charles' rate if it is represented by x is 2x=54.

In the given question wehave to find the equation could be used to solve for charles' rate if it is represented by x.

Bill riding a bicycle at an average rate of 9 mph.

Charles' rate is x.

So the relative rate = x−9 mph

Distance traveled by Bill in 4 hours = 9*4 =36 mph

Charles' overtook Bill in 2 hours. So

Relative Rate = Distance/Time

x−9=36/2

Multiply by 2 on both side. We get

2(x−9)=36

Simplifying

2x−18=36

Add 18 on both side, we get

2x=36+18

2x=54

Hence, the equation could be used to solve for charles' rate if it is represented by x is 2x=54.

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Answer:

2

Step-by-step explanation:

If p = 5 and q = 1, the equation would look like

2 - (1 - 5/5)

2 - (1 - 1)   [5/5 is a giant 1]

2 - (0)

2

There are 0.28 bags of pea and 11.72 bags of corn

These are simultaneous equations because they involve the variables x and y, and we want to find values for x and y that satisfy both equations at the same time.

We have that;

p = Number of bags of pea

c = Number of bags of corn

p + c = 12 ------ (1)

2.89p + 3.25c = 37.90 ---- (2)

c = 12 - p ----- (3)

Substitute (3) into (2)

2.89p + 3.25(12 - p) = 37.90

2.89p + 39 - 3.25p = 37.90

2.89p - 3.25p + 39 = 37.90

-0.36p = 38.90 - 39

-0.36p = -0.1

p = 0.28

The number of bags of corn is now;

0.28 + c = 12

c = 12 - 0.28

c = 11.72

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Proof:

3 consecutive integers are x, x+1 , x+2.

Add these values.

x+x+1+x+2

3x+3

3×(x+1)

3(x+1) is the multiple of 3 for any integer value of x.

Answer: We have proved that the sum of 3 consecutive numbers is always a multiple of 3.

Let us assume: 3 consecutive integers are x, x+1 , x+2.

Then add these values.

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

It is the multiple of 3 for any integer value of x.

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According to the rules of significant figures:



1.25 × 200 = 300

the answer is

TRue

In the first question, the statement "Using logarithmic differentiation we obtain that the derivative of the function y = x² satisfies the equation y = 4x log x + 2x" is true.

In the first question, using logarithmic differentiation on the function y = x², we differentiate both sides, apply the product rule and logarithmic differentiation, and simplify to obtain the equation y = 4x log x + 2x, which is correct.

In the second question, the statement is false. When using logarithmic differentiation on the function y = (1+x²)²(1 + sin x)²/(1-x²), the derivative is calculated correctly, but the equation given is incorrect. The correct equation after logarithmic differentiation should be y' = (4x/(1 + x²)(1 + sin x))(1-x²) - (2x(1+x²)²(1 + sin x)²)/(1-x²)².

In the third question, the product z²w is calculated correctly as 30-10%.

It is important to accurately apply logarithmic differentiation and perform the necessary calculations to determine the derivatives and products correctly.

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We see that both triangles are similar, so their corresponding sides are proportional. We have

Then, the height of the wall is 15 ft.

Answer:

y = 12

Step-by-step explanation:

Area = 14

Area = l • w

14 = y • 7/6

multiply each side by 6/7

12 = y

Total possible arrangements are 55,450

Multiply the number of opportunities for each event by its own X times, where X equals the number of occurrences in the sequence.

A child possesses 12 blocks, six of that are black, three of which are red, two of which are white, and one of which is blue. If the child arranges the blocks in a line, we must determine the best possible arrangement.

If the child arranges the blocks in a line, the following arrangements are possible:

As a result, the arrangements could be as follows:

\(= > \frac{12!}{6!3!2!1!}\)

=> (12 × 11 × 10 × 9 × 8 × 7 × 6! )/ 3 × 2 × 1 ×2 × 6!

=> 55,440

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The inequality that models the scenario is the first one:

$24 + $2*n ≤ $37

Solving that we conclude that Eli can buy at most 6 notebooks.

We know that Eli wants to buy a calculator that costs $24 and some notebooks, such that each notebook costs $2.

Then If Eli buys the calculator and n notebooks the total cost will be:

$24 + $2*n

We know that Eli has a total of $37 to spend, so that is the maximum amount he can spend. Thus, we can write the inequality:

$24 + $2*n ≤ $37

So the correct option is the first one.

Now also let's solve the inequality for n.

$24 + $2*n ≤ $37

$2*n  ≤ $37 - $24

$2*n ≤ $13.

n ≤ $13/$2

n ≤ 6.5

So Eli can buy at most 6 notebooks.

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Answer:

6283 in³

Step-by-step explanation:

The largest sphere that can fit into the cardboard box must have its diameter, d equal to the length, L of the cardboard box.

Since the cardboard box is in the shape of a cube, its volume V = L³

So, L = ∛V

Since V = 12000 in³,

L = ∛(12000 in³)

L= 22.89 in

So, the volume of the sphere, V' = 4πr³/3 where r = radius of cube = L/2

So, V = 4π(L/2)³/3

= 4πL³/8 × 3

= πL³/2 × 3

= πL³/6

= πV/6

= π12000/6

= 2000π

= 6283.19 in³

≅ 6283.2 in³

= 6283 in³ to the nearest whole cubic inch

Answer:

the shortest side = 22 cm

the medium side = 54 cm

the longest side = 66 cm

Step-by-step explanation:

Let the shortest side = x

As the longest side is three times longer than the shortest side,

the longest side = 3x

As the medium side is ten more than twice the shortest side,

the medium side = 2x+10

the perimeter = 142

x+3x+2x+10 = 142

6x+10 = 142

6x = 142-10

6x = 132

x = 22

the shortest side = 22 cm

the longest side = 3*22 = 66 cm

the medium side = (2*22)+10 = 44+10 = 54 cm