10 The number of students who brought
their own lunch to school on Tuesday was"
57 fewer than the number of students
who ate the school lunch. There were
more than 485 students who brought
their lunch.
Part A
Write an inequality to find the possible
number of students, n, who ate the
school lunch.
Part B
How many students could have possibly
eaten the school lunch?

Answer:

x=-60

Step-by-step explanation:

Answer:

-60

Step-by-step explanation:

1/3 x = -20  Multiply both sides by 3

3(1/3) x = 3(-20)

x = -60

Check

1/3(-60) = -20

-20 = -20

If the height of seven and three fourths yards and a base of 20 yards, then the area of the right triangle is 77.5 square yards.

To calculate the area of a right triangle, we can use the formula:

Area = (base * height) / 2

where the base is one of the sides of the triangle, and the height is the perpendicular distance from that side to the opposite vertex.

In this case, the height of the right triangle is 7 and 3/4 yards, and the base is 20 yards. Plugging these values into the formula, we get:

Area = (20 * 7.75) / 2 = 155 / 2 = 77.5 square yards

In summary, to calculate the area of a right triangle, we can use the formula that relates the base and height to the area. In this case, we needed to use the given values of the height and base of the right triangle to compute the area in square yards.

The resulting area represents the amount of surface inside the triangle and is useful in many applications, such as geometry, physics, and engineering.

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Option b. This would tell you the proportion of students who attend college in their home state. A large proportion means that students prefer to attend college in their home state and a small proportion means that students prefer to attend college in a different state.

The variable computed as the number of students in each state who attend college in the state divided by the total number of students from the state who attend college can provide insights into students' preferences for attending college in their home state. A large proportion of students who attend college in their home state indicates that students prefer to stay close to home for higher education, while a small proportion suggests that they are more likely to attend college in a different state. This information can be useful for policymakers and educators to better understand the higher education preferences of their state's students and to develop policies and programs to encourage more students to attend college within their home state.

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Complete question:

The U.S. Census Bureau collects a large amount of information concerning higher education. For example, the bureau provides a table that includes the following variables: state, number of students from the state who attend college, number of students who attend college in their home state.

Consider a variable computed as the number of students in each state who attend college in the state divided by the total number of students from the state who attend college. Explain how you would use this variable to describe something about the states.

a. This would tell you the proportion of the state’s population that attend college in their home state. A large proportion means that less of the state’s population attend college while a small proportion means that more of the state’s population attend college.

b. This would tell you the proportion of students who attend college in their home state. A large proportion means that students prefer to attend college in their home state and a small proportion means that students prefer to attend college in a different state.

c. This would tell you the proportion of students who attend college in their home state. A large proportion means that students prefer to attend college outside their home state and a small proportion means that students prefer to attend college in their home state.

d. This would tell you the proportion of the state’s population that attend college in their home state. A large proportion means that more of the state’s population attend college while a small proportion means that less of the state’s population attend college.

Answer:

Step-by-step explanation:

To calculate the final account balance for a savings account with an initial deposit of $5,460.75, compounded semiannually with an interest rate of 3.92%, for 51 months, we need to use the formula:

A = P * (1 + r/n)^(nt)

where A is the final account balance, P is the initial deposit, r is the interest rate (as a decimal), n is the number of times the interest is compounded in a year, t is the number of years, and nt is the number of compounding periods.

In this case, n = 2 (since the interest is compounded semiannually), r = 3.92%/100 = 0.0392, t = 51 months / 12 months/year = 4.25 years, and nt = 2 * 4.25 = 8.5.

Substituting the values into the formula, we get:

A = $5,460.75 * (1 + 0.0392/2) ^ (8.5)

A = $5,460.75 * 1.0196^8.5

A = $5,460.75 * 1.2408

A = $6790.32

So, the final account balance if the initial deposit is invested with interest compounded semiannually is $6790.32.

B) Comparing the final account balance of the simple interest account and the compound interest account, we can see that the compound interest account yields a higher balance ($6790.32) than the simple interest account ($6370.51). This is because compounding interest allows for the interest earned in one period to be reinvested, so the interest earns interest in future periods, which increases the overall amount of interest earned over time. In contrast, simple interest is calculated only on the initial deposit, so the amount of interest earned remains constant over time.

If after the second hour, the increase in ticket sales every hour was 20 more than the increase of the previous hour, it will take 12 hours to sell 10,000 tickets for the Boulders concert.

To solve this problem, we need to find the number of hours it will take to sell 10,000 tickets for the concert. We are given the number of tickets sold in the first three hours and the rate at which ticket sales increase each hour after the second hour.

Let's denote the number of tickets sold in the fourth hour by "x". Then, the number of tickets sold in the fifth hour will be "x + 20", and the number of tickets sold in the sixth hour will be "x + 40", and so on.

Using this information, we can set up an equation to find "x":

500 + 560 + x + (x + 20) + (x + 40) + ... = 10,000

Simplifying the equation, we get:

3x + 1020 + 20n = 9500

where "n" is the number of hours after the third hour.

Solving for "n", we get:

n = (10,000 - 1020 - 3x) / 20

Now, we need to find the value of "x" that satisfies this equation. We can do this by testing different values of "x" until we find the one that gives an integer value for "n".

Let's start by trying "x = 640 + 20 = 660". Plugging this value into the equation, we get:

n = (10,000 - 1020 - 3(660)) / 20 = 9

We arrived at this solution by using the given information about the rate of increase in ticket sales and setting up an equation to solve for the number of hours it will take to sell 10,000 tickets. We then tested different values of "x" until we found the one that satisfied the equation and gave an integer value for "n".

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Answer: The answer is 3 slices

Step-by-step explanation:

if you cut a pizza into 12 peices and devide it by 4 people each person gets 3

We know that the store sells nuts for $2 per pound and chocolate for $0.95 per pound. We also know that x represents the total pounds of nuts, and 32 represents the total pounds of chocolate.

In order to write an equation that represents a mixture that costs $1.48 per pound, we first need to find an expression to represent the total pounds in this situation, which would be (x + 32).

Now that we have this, let's just combine everything we know into one equation:

2x + 0.95(32) = 1.48(x + 32)

Therefore, the correct answer choice is option B.

The probability that a person responded Yes or was under the Age of 55 was C. 57 %

The probability that a person who responded either said yes or was under the Age of 55 is:

= Probability that a person answers yes + probability that a person is under 55 - Probability that a person was under 55 and answered yes

The probability a person who responded either said yes or was under the Age of 55 is therefore:

= ( 25 / 103 ) + ( 59 / 103 ) - 17 / 103

= 57 %

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As (-2, 2) and (4, -1) lie on a line the equation of the line is: y = (-1/2)x + 1

We can use the slope-intercept form of a linear equation,

which is y = mx + b, where m is the slope and b is the y-intercept.

First, we need to find the slope of the line using the two given points. The slope formula is:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

Plugging in the values, we get:

m = (-1 - 2) / (4 - (-2)) = -3/6 = -1/2

Now we have the slope (m = -1/2), and we can use either of the two given points to find the y-intercept (b).

Let's use the first point (-2, 2):

y = mx + b

2 = (-1/2)(-2) + b

2 = 1 + b

b = 1

So the equation of the line is:

y = (-1/2)x + 1

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Referring to the given kite, the length of the other diagonal. DF, is 21 cm.

A kite is a quadrilateral shape, meaning it has four sides. The two pairs of adjacent sides are of equal length, while the opposite sides are not.

The shape of a kite is typically described as having two pairs of congruent adjacent sides that are connected by two diagonal lines that intersect at a right angle. The diagonal lines of a kite are perpendicular to each other, and the shorter diagonal bisects the longer diagonal.

Let's denote the point of intersection of the two diagonals as O.

Since the two diagonal intersect at a right angle, diagonal DF is perpendicular to diagonal EG.

DG = 13 cm

FG = 20 cm

OG = 1/2 EG = 1/2 x 24 = 12 cm

Using the Pythagorean Theorem:

OD = √(DG² - OG²)

     = √(13² - 12²) = 5 cm

OF = √(FG² - OG²)

     = √(20² - 12²) = 16 cm

DF = OD + OF

     = 5 + 16 = 21 cm

The picture in your question is missing, most likely it was like on the attached picture.

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Answer: c

Step-by-step explanation: I got it right

Answer:Twerk

Step-by-step explanation:Twerk

Answer: A

Step-by-step explanation: There isn't much work to be shown here, however you can look at graphical patterns to get your answer. It says the initial value is $200000 so you can eliminate B and D because they start at $100000. That leaves A and C. C is increasing at a higher rate and is greater than 100% per year. That leaves option A.

The area of Norway's is 24% more than the area of Colorado.So, the area of Colorado is approximately 260,449 square kilometers.

What is Area?

Area is a measurement of the amount of two-dimensional space occupied by a surface or an object. In mathematics, area is a scalar quantity that describes the size of a region in a plane. The units of area are typically square units, such as square meters, square centimeters, square inches, etc.

The formula for the area of a shape depends on the shape itself. For example, the area of a rectangle is equal to its length multiplied by its width, while the area of a circle is equal to π times the square of its radius. Other common shapes and their area formulas include triangles, parallelograms, and trapezoids.

Let's call the area of Colorado "x". If Norway's area is 24% more than Colorado, then Norway's area can be represented as x + 0.24x = 1.24x.

To find the area of Colorado, we can set up an equation:

1.24x = area of Norway

x = area of Norway / 1.24

The area of Norway is 323,802 square kilometers. Therefore, the area of Colorado can be calculated as:

x = 323,802 / 1.24

x = 260,449 square kilometers

So, the area of Colorado is approximately 260,449 square kilometers.

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Answer:480

Step-by-step explanation

The function that has a simplified base of (4∛4) is 4(∛16[tex])^({2x)[/tex].

Calculating the exponential growth or decay of a given collection of data is done using an exponential function, which is a mathematical function. Exponential functions, for instance, can be used to estimate population changes, loan interest rates, bacterial growth, radioactive decay, and disease spread.

From the general formula of an exponential function, we know that;

f(x) = a[tex](b)^x[/tex]

Now, we have;

f(x) = (4∛4[tex])^x[/tex]

4(∛16[tex])^({2x)[/tex], the base is (∛16)²

(∛16)²

= √(16^(⅔))

=256^(⅓)

= 4∛4

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Answer:

C.

Step-by-step explanation:

Took the test. :)

Answer: In a right-angled triangle, we can use the Pythagorean Theorem to find the length of the remaining side. The theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

In this case, the length of side BC can be found using the Pythagorean Theorem:

BC^2 = AB^2 + AC^2

BC^2 = 10.5^2 + 5.2^2

BC^2 = 110.25 + 27.04

BC^2 = 137.29

BC = √137.29

BC ≈ 11.68 m

Now that we have the length of side BC, we can use the inverse cosine function (cos^-1) to find the angle ∠CBA:

∠CBA = cos^-1 (BC / AB)

∠CBA = cos^-1 (11.68 / 10.5)

∠CBA ≈ 68.194°

Rounding to 3 significant figures, the answer is ∠CBA = 68.2°.

Step-by-step explanation:

The solution of the equation are as follows:

y = 15

v = 28

r = 95.5

m = 30

d = 54

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.  The equation can be solved by finding the value of the variables.

A variable is a number represented with letter in an equation.

Therefore, let's solve the equation.

y + 4 - 1 = 18

y = 18  - 4 + 1

y = 15

v - 7 = 9 + 12

v = 12 + 9 + 7

v = 28

53.5 + 44 = 2 + r

r = 53.5 + 44 - 2

r = 95.5

m + 18 + 23 = 71

m = 71 - 18 - 23

m = 30

22 + 15 = d - 17

d = 22 + 15 + 17

d = 54

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Answer:

61 over 4 haircuts per day

A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare numbers, and you can compare them using division.

A way to solve for the number of haircuts per day is to use this equation:

You could also use this fraction:

Inserting the numbers into the fraction::

Therefore, the rate for a ratio using the two different quantities is 61 over 4 haircuts per day.

No, I do not agree with Bard. The area of the given circle is 12.56 unit²and, not 3.5 unit² which Bard claims to be.

What is a circle?

A circle is a shape made up of all points in a plane that are at a specific distance from the centre point. In other words, it is the path a moving point in a plane takes to move around a curve while maintaining a constant distance from another point.

From the figure, we can see that the radius of the circle, the distance from the centre of the circle to the boundary is 2 units.

The area of the circle = πr²

where π is a constant with an approximate value of 3.14 and r is the radius of the circle.

Now substituting the value of r of the given circle in the area equation, we get,

the area of given circle = π * 2² = 3.14 * 4 = 12.56 unit²

Therefore the area of the given circle is 12.56 unit²and, not 3.5 unit² which Bard claims to be.

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If Jemma got 2 out of 20 questions wrong on her most recent math quiz, then the incorrect percent is 10% .

Total number of questions in  the Math's quiz is = 20 ;

Number of incorrect questions done by Jemma is = 2 ;

Number of correct questions done by Jemma are = 18 ;

So , to find the percentage she got incorrect, we divide ; (number of incorrect answers) by (total number of questions) and then multiply by 100 ;

that means ⇒ (2/20) × 100 = 10% ;

Therefore, Jemma got 10% of the questions incorrect on her most recent math quiz.

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The given question is incomplete , the complete question is

If Jemma got 2 out of 20 questions wrong on her most recent math quiz, what percent did she get incorrect ?

Answer:

X        Y

2        1

4        7

5        10

Step-by-step explanation:

There are 2002 groups of 5 people that can answer the 5 phone lines.

This is a combination problem, because we want to choose groups of 5 people from a group of 14, and the order in which we choose the people does not matter.

The formula for the number of combinations of n objects taken r at a time is:

C(n,r) = n! / (r! * (n-r)!)

In this case, we want to choose 5 people out of a group of 14, so we can plug those values into the formula:

C(14,5) = 14! / (5! * (14-5)!)

Simplifying the factorial terms:

C(14,5) = (1413121110) / (54321)

C(14,5) = 2002

Therefore, there are 2002 groups of 5 people that can answer the 5 phone lines.

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After adding and subtracting the rational expressions , the simplified rational expression is 4x - 4/x² - 5/x³ + 9  .

We first simplify each expression inside the parentheses :

that means :

⇒ (2x + 5/x² -3x) = (2x - 3x + 5/x²) = (-x + 5/x²) ;

⇒ (3x + 5/x³ - 9x) = (-6x + 5/x³)  ;

⇒ (x + 1/x² - 9) = (-9 + x + 1/x²)  ;

Now we substitute these expressions into original equation/expression :

we get ; (-x + 5/x²) - (-6x + 5/x³) - (-9 + x + 1/x²)

Simplifying further ,

we get ;

⇒ -x + 5/x² + 6x - 5/x³ + 9 - x - 1/x²  ;

On Combining the like terms, we get ;

⇒ 4x - 4/x² - 5/x³ + 9

Therefore, the simplified rational expression is 4x - 4/x² - 5/x³ + 9.

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The given question is incomplete , the complete question is

Adding and subtracting rational expressions, Simplify the rational expression  (2x + 5/x² -3x) - (3x + 5/x³ - 9x) - (x + 1/x² - 9)  .

Answer:

if the angle has the arrow on top pointing straight up thats a right angle if it is leaning towards the left instead it is obtuse and if is getting closer to the right side it is acute.

Step-by-step explanation:

i can't tell you anything else if there is no picture to base this question.

PLEASE GIVE BRAINLIEST!

thank you and have a good day, I hoped this helps :)

Answer:

1/12

Step-by-step explanation:

To calculate the chances of Douglas eating one  slice of cheese pizza

3/(5+3+1) = 1/3

To calculate the odds of him eating another cheese pizza slice

2/(5+2+1) = 1/4

To calculate the odds of Douglas eating the same two kinds of pizza

1/4 times 1/3

there you go! :)

Answer:

0.0256x^4y^4

Step-by-step explanation:

The different values in the row of the table are: 1. l = 2π²r/ 2160, A = π²r²/ 2160. 2. α = 60/r and sector area A = πr/60.

The sector is essentially a section of a circle, and it may be described using the following three criteria:

The area of a disc that is surrounded by two radii and an arc is known as a circular sector.

The circle is divided into the Major Sector and the Minor Sector by a sector.

The region with a lesser extent is referred to as the Minor Sector, whereas the territory with a larger area is referred to as the Major Sector.

Given that,

Central angle = [tex]\frac{\pi}{6}[/tex].

The arc length is given as:

l = α/360 (2πr)

Where, α is the central angle.

Substitute the value of central angle we have:

l = (π/6)/360 2πr

l = 2π²r/ 2160

The sector area is given as:

A = α/360  πr²

A = (π/6)/360 πr²

A = π²r²/ 2160

Similarly, the arc length is given as:

l = π/3

Substituting the value of l in arc length we have:

π/3 = α/360 (2πr)

α = 360(π)/ 6πr

α = 60/r

The sector area is given as:

A = α/360  πr²

A = (60/r) 360 πr²

A = πr/60

Hence, the different values in the row of the table are: 1. l = 2π²r/ 2160, A = π²r²/ 2160. 2. α = 60/r and sector area A = πr/60.

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Answer:

speak Spanish

Step-by-step explanation:

I"m sorry

to help

Answer: look at the image for the answer and solution

Step-by-step explanation: