One hundred students go to the cafeteria to
eat lunch. Six tables held the same amount of
students while an additional 10 students
stood in line. Which equation can be used to
find the number of students sitting at each
table?
A 100= 10x + 6
B 100 + 6 x= 10
C 10 x - 100 = 10
D 6x + 10 = 100

Answer:

3(x + 6)/18

= x + 6 /6

Step-by-step explanation:

hope this helps you

The new proposed internal volume of the building in cubic feet is 9720 cubic feet

The given parameters are:

Internal Length = 20 ft

Internal Width = 18 ft

Internal Height = 30 ft

From the question, the internal height is reduced by 10%.

So, the new internal height of the building is:

Internal height = Initial Internal Height * (1 - 10%)

This gives

Internal height = 30 ft * (1 - 10%)

Evaluate the product

Internal height = 27 ft

The new proposed internal volume in cubic feet is calculated as:

Volume = Internal Length * Internal Width * Internal Height

Substitute the known values in the above equation

Volume = 20 ft * 18 ft * 27 ft

Evaluate the product

Volume = 9720 cubic feet

Hence, the new proposed internal volume of the building in cubic feet is 9720 cubic feet

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Complete question

An architect has created a scale drawing for a residential townhouse in the shape of a rectangular prism. In the drawing, the internal width of the townhouse is labeled as 18 feet, the internal length as 20 ft, and the internal height as 30 ft.

The local building department tells the architect that if built, the building would be too tall according to local zoning laws and that its height must be reduced by 10%. If the architect creates a second scale drawing where the townhouse's height is reduced by 10%, what will be its new proposed internal volume in cubic feet?

Answer:

75—the profit

Step-by-step explanation:

simply subtract the cost price from selling price

325-250=75

Answer:

$75

Step-by-step explanation:

Calculating profit or loss:

Selling price - Cost price

The profit or loss

= 325-250

= +$75

∴ It has a profit of $75.

The linear regression equation that best fits the data set is y = 126x + 462.

To find the linear regression equation, we can use the following steps:

Calculate the slope and the y-intercept..

In this case, we have the following values:

y₂ = 4,920

y₁ = 650

x₂= 20

x₁ = 2

Substituting these values into the formula, we get the following:

m = (4,920 - 650)/(20 - 2) = 2,270/18 = 126.11

The y-intercept is calculated using the following formula:

b = y - mx

In this case, we can use the point (2, 650) because it is the first point in the table. Substituting these values into the formula, we get the following:

b = 650 - 126.11(2) = 461.89

The linear regression equation that best fits the data set is y = 126.11x + 461.89. Round each parameter to the nearest whole number, we get y = 126x + 462.

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The number of views of a video on the internet is shown in the table below as a function of the time since the video was posted (in hours).

Number of hours, x

Number of views, y

2

650

5

1,280

8 12

2,140

3,120

17

4,050

20

4,920

Find a linear regression equation, in the form y=ax+b, that best fits this data set. Round each parameter to the nearest whole number.

Answer:

78

Step-by-step explanation:

because I know everything

Answer: y=-(4y-12)/2 + 3; x=0 y=3

Answer:

x=3, y=0

Step-by-step explanation:

Answer:

(3, 0 )

Step-by-step explanation:

Given the 2 equations

2x + 2y = 6 → (1)

4x - 6y = 12 → (2)

Multiplying (1) by - 2 and adding to (2) will eliminate the x- term

- 4x - 4y = - 12 → (3)

Add (2) and (3) term by term to eliminate x

0 - 10y = 0

- 10y = 0 ⇒ y = 0

Substitute y = 0 into either of the 2 equations and solve for y

Substituting into (1)

2x + 2(0) = 6

2x = 6 ( divide both sides by 2 )

x = 3

solution is (3, 0 )

Answer: B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

i just got the biggest brain ever

Both arrangements use the same amount of plastic wrap, with a total surface area of 1240 cm².

To determine which arrangement of the four juice boxes uses the least amount of plastic wrap, we need to consider the total surface area that needs to be covered in each arrangement.

Arrangement 1:

In this arrangement, we can place the four juice boxes in a 2x2 square configuration, with two boxes stacked horizontally and two boxes stacked vertically. Let's calculate the total surface area to be covered:

Surface area of a single box = 2(lw) + 2(lh) + 2(wh)

= 2(107) + 2(105) + 2(7*5)

= 140 + 100 + 70

= 310 cm²

Since we have four boxes in this arrangement, the total surface area to be covered is:

Total surface area = 4 * 310 cm²

= 1240 cm²

Arrangement 2:

In this arrangement, we can stack the four juice boxes in a single column, one on top of the other. Let's calculate the total surface area for this arrangement:

Surface area of a single box is the same as in the previous arrangement:

Surface area of a single box = 310 cm²

Since we have four boxes stacked vertically, the total surface area to be covered is:

Total surface area = 4 * 310 cm²

= 1240 cm²

Therefore, both arrangements use the same amount of plastic wrap, with a total surface area of 1240 cm².

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Answer:

speed: .3 kilometers a minute. Distance traveled in 10 minutes: 3 kilometers

The insurance company expects the interest rate to be around 4.16%.

To find the expected interest rate, we can use the formula for present value of an annuity:

PV = PMT x (1 - (1 + r)^(-n)) / r

Where:

PV = present value of the annuity, which is the amount the insurance company needs to deposit

PMT = payment per period, which is $45,000

r = interest rate per period, which is what we need to find

n = total number of periods, which is unknown

We know that the insurance company needs to deposit $2,500,000 to make the payments, so we can set:

PV = $2,500,000:

$2,500,000 = $45,000 x (1 - (1 + r)^(-n)) / r

To solve for r, we can use trial and error or an iterative method. Here, we'll use trial and error.

Let's assume n = 20, which is a reasonable number of years for an insurance policy. Then we can solve for r:

$2,500,000 = $45,000 x (1 - (1 + r)^(-20)) / r

$2,500,000r = $45,000 x (1 - (1 + r)^(-20))

(1 + r)^(-20) = 1 - ($45,000 / $2,500,000) x r

1 + r = (1 - ($45,000 / $2,500,000) x r)^(-1/20)

r ≈ 0.0416 or 4.16%

Therefore, the insurance company expects the interest rate to be around 4.16%.

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The area of land the charity planted was 17000 m². The charity met its target

An equation is an expression that is used to show how numbers and variables are related using mathematical operators

1 km = 1000 m

1 km² = 1000000 m²

An environmental charity set a target to plant trees on 9000 m² of land in September.

In September, it planted trees on 0.017 km² of land. Hence:

Area of land planted = 0.017 km² * 1000000 m² per km² = 17000 m²

17000 m² is greater than 9000m². The charity met its target

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Answer:

top one

Step-by-step explanation:

brainliest

Answer:

the top one is bigger. always check the digit placing and exponents!

Answer:

The actual pressure is 36.50

Step-by-step explanation:

Given that:

Tire pressure reading = 8% higher

Reading = 39.42

As 100% will be the actual reading.

New reading = (100+8)% = 108%

Let,

x be the actual pressure of the tire

108% of x = 39.42

\(\frac{108}{100}x=39.42\\1.08x = 39.42\)

Dividing both sides by 1.08

\(\frac{1.08x}{1.08}=\frac{39.42}{1.08}\\x=36.50\)

Hence,

The actual pressure is 36.50

The line passes through the point (0, -1) on the x-axis, the x-intercept is (0, -1).  Again, using the given information, we know that the line passes through the point (4.5, 0) on the y-axis, the y-intercept is (4.5, 0).

To determine the intercepts of the line, we can refer to the given points where the line intersects the coordinate plane.
The x-intercept represents the point where the line intersects the x-axis.

From the given information, we know that the line passes through the point (0, -1) on the x-axis.

Therefore, the x-intercept is (0, -1).
The y-intercept represents the point where the line intersects the y-axis.

Again, using the given information, we know that the line passes through the point (4.5, 0) on the y-axis.

Therefore, the y-intercept is (4.5, 0).
In summary:
x-intercept: (0, -1)
y-intercept: (4.5, 0)
Note: The repeated term "intersects" were not directly relevant to the question, so I have not included them in the answer.

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The actual time it took Tory to travel 30 km is 0 hours.

As per the data given in the question,

Speed of the boat of both the person Tory and Emillio are same.

Let's call the time it took Tory to travel 30 km as "t" (in hours).

Emilio travelled for t + 3 hours, and during that time, he covered a total distance of 100 km.

So, we can write the equation:

30 + (t + 3) * 30 = 100

Solving for t:

30 + 30t + 90 = 100

30t = -60

t = -2

Since time cannot be negative, the actual time it took Tory to travel 30 km is 0 hours.

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Answer:

25

Step-by-step explanation:

You plug -5 as x and do negative 7 times negative 5. You then subtract that answer by 10 and get 25.

i hope this helps! let me know if i got it wrong

Answer:

0.2

Step-by-step explanation:

Answer:

0.16

Step-by-step explanation:

Answer:

ECHA

Step-by-step explanation:

1. slope = 1/2

2. slope = 4/2 = 2

3. slope = -1/2

4. slope = -2

Answer:

y= -1/3x-6

Step-by-step explanation:

The slope is rise over run

The y-intercept is the point where the line crosses the y-axis.

If this helped please consider giving brainliest.

Answer: y=.25x-6

Step-by-step explanation: find the slope with \(m=\frac{y2-y1}{x2-x1}\) and make it \(m=\frac{-6+7}{0-4} =1/4\) or .25

then, convert to y=mx+b form which would be \(y=\frac{1}{4}x-6\) or \(y=.25x-6\)

b standing for y intercept and m standing for slope.

Step-by-step explanation:

r=3/2=(4.5)/3=3/2

it is geometric, so we will use this equation:

a(n)=a1*(r)^(n-1)

and we have a(1)=2 , r=3/2    

So  explicit formula:

a(n)=2*(3/2)^(n-1)

hope this helps

Answer: B

Step-by-step explanation:

on edge warm-up

Answer: 2 5/6 I think.

Wait no. I just did the math and it would be 2 1/2

As a question answering platform, we do not have information about your organization. Therefore, we will provide a general response to the question, "what are the top two threats and the top two opportunities over the next five years?" The top two threats and top two opportunities over the next five years are as follows:

Top two threats:

1. Increased competition: With the rise of technology, businesses are becoming more competitive. A company's failure to keep up with new technologies and innovations will lead to decreased revenue.

2. Changing consumer preferences: As consumer tastes change, companies may find it challenging to keep up with their demands. Failure to do so may lead to decreased sales and revenue.

Top two opportunities:-

1. Technological advancements: The evolution of technology presents opportunities for companies to increase efficiency, reduce costs, and improve customer satisfaction. Companies that integrate new technologies into their operations can gain a competitive advantage

.2. Global expansion: Companies that expand their operations globally can take advantage of new markets and gain access to new customers. Global expansion also presents opportunities for companies to reduce costs by outsourcing operations to countries with cheaper labor.

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The two positive numbers that satisfy the given conditions are 20 and 20.

How to minimize an expression?

To minimize an expression, you typically need to find the value or values of the variables that result in the smallest possible value for the expression.

Let's assume the two positive numbers as x and y. We are given that their product is 400, so we have the equation xy = 400.

To find the values of x and y that minimize the expression 2x + 3y, we can use the concept of the arithmetic mean-geometric mean inequality (AM-GM inequality). According to the inequality, the arithmetic mean of two positive numbers is always greater than or equal to their geometric mean.

In this case, the arithmetic mean of x and y is (x + y)/2, and the geometric mean is √(xy). So, applying the AM-GM inequality, we have:

(x + y)/2 ≥ √(xy)

Plugging in xy = 400, we get:

(x + y)/2 ≥ √400

(x + y)/2 ≥ 20

To minimize the expression 2x + 3y, we want the values of x and y to be as close as possible. The equality condition of the AM-GM inequality holds when x = y, so we can choose x = y = 20.

When x = y = 20, the product xy is 400, and the expression 2x + 3y becomes 2(20) + 3(20) = 40 + 60 = 100. This gives us the minimum sum for twice the first number plus three times the second number.

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Answer:

14.4

Step-by-step explanation:

Cross multiply.

5x = 8 * 9

5x = 72

x = 14.4

Answer:

x= 14.4

Step-by-step explanation:

1. cross multiply

5*x and 8*9

5x=72

2. divide 72 by 5

x= 14.4

Answer:

The type of number that represents -4/2 is:

Choice B) Integer

Choice C) Rational

Step-by-step explanation:

The number -4/2 is an integer because it represents a whole number (-2) and it is also a rational number because it can be expressed as a fraction of two integers.

-4/2 is an :

Solution:

Before we make any decisions about the type of number -4/2 is, let's simplify it first.

It's the same as -2. Now, let's familiarize ourselves with the sets of numbers out there. Where does -2 fit in?

______________

This set incorporates only positive numbers and zero. So -2 doesn't belong here.

This set incorporates whole numbers and negative numbers. So -2 belongs here.

This set has integers, fractions, and decimals. So -2 does belong here too.

This is a set for numbers that cannot be written in fraction form (a/b, where b ≠ 0). So -2 doesn't belong here.

-4/2 belongs in the integer and rationals set.

Answer:

6._ _ is the hundreth.

Since the diget after 6 is infact greater than or equal to 5.. (8>5).

We can round up to 6.17

Answer:

8x + 2y = 10  ==>  y = -4x + 5

12x - 3y = -25​  ==>  y = 4x + 25/3

Step-by-step explanation:

8x + 2y = 10  ==> solve for y

2y = 10 - 8x  ==> subtract 8x on both sides

(2y = 10 - 8x) / 2 ==> divide the equation by 2 to make 2y into y

y = 5 - 4x  ==> simplify

y = -4x + 5  ==> put the equation in y=mx+b form

12x - 3y = -25​  ==> solve for y

12x = -25 + 3y  ==> make y positive by adding 3y on both sides

12x + 25 = 3y ==> add 25 on both sides to isolate y

(3y = 12x + 25) / 3  ==> divide the equation by 3 to make 3y into y

y = 4x + 25/3 ==> simplify