A regular-size box of cereal measures 312 inches by 812 inches by 15 inches. The manufacturer also sells an individual-size box that has a volume that is 110 of the volume of the regular-size box. What is the volume of the individual-size box of cereal

Answer: y=-1x+0

so,  y=-1x

After solving the equation the greatest rate is y=x. therefore, the correct option is D

What does rate in math mean?

In mathematics, the term 'rate' usually refers to a ratio or a comparison between two different values. It is defined as the amount of one quantity with respect to another, and is most commonly expressed as a fraction, with one value being the numerator and the other being the denominator. For example, "the rate of increase" is a comparison between the amount of increase in an item over time, such as the rate of inflation over a period of time. Additionally, the term 'rate' can also be used to describe a rate of change, such as the rate of growth of a population. In this case, the rate of change describes how quickly the population is changing over time.

Given that:

For rate we have to differentiate all the function first

A) y = 3/4x + 1

dy/dx = 3/4

B) y = -x

dy/dx = -1

C) y = 1/2x +2

dy/dx = 1/2

D) y = x

dy/dx = 1

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For the given width length ratio and perimeter of rectangle, the length of rectangle is 80 cm.

The perimeter of a shape is defined as the total length of its boundary. The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape.

Let the width of the rectangle be 3x, and the length be 4x (since the ratio of the width to the length is 3:4).

The perimeter of a rectangle is the sum of the lengths of all four sides, so we have:

Perimeter = 2(length + width)

Substituting the expressions for the length and width, we get:

280cm = 2(4x + 3x)

Simplifying the right-hand side, we get:

280cm = 14x

Dividing both sides by 14, we get:

x = 20

Therefore, the length of the rectangle is 4x = 4(20) = 80 cm

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0.003 is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations

To calculate the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations.The mean is the expected number of calls involving a fax transmission, while the standard deviation is the measure of variability in the distribution. We then use this information to calculate the probability of exceeding the expected number by more than 2 standard deviations, which can be done using the z-score formula. The z-score for values more than 2 standard deviations away from the mean is 2.33, which corresponds to a probability of 0.003. Thus, the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations is 0.003.

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If United Bank offers a 15-year mortgage at an APR of 6.2%.

a. Monthly Payment  is $1,025.90

b. Total Interest is  $64,662

c. Monthly Payment  $810.55

d. Total Interest is $123,165

e. Difference in the monthly payments is $215.35.

f.  You could save 10 years of payments

Using this formula to find the monthly payment

Monthly Payment = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Total Interest = (Monthly Payment * n) - P

where

P= principal amount borrowed

r = monthly interest rate (APR / 12)

n = total number of monthly payments

a. United Bank Monthly payment

P = $120,000

r = 6.2% / 12 = 0.00517

n = 15 years * 12 months/year = 180

Monthly Payment = 120000 * (0.00517 * (1 + 0.00517)^180) / ((1 + 0.00517)^180 - 1)

Monthly Payment  = $1,025.90

b.  United Ban Total interest

Total Interest = ($1,025.90* 180) - 120000

Total Interest = $64,662

c. Capitol Bank Monthly payment

P = $120,000

r = 6.5% / 12 = 0.00542

n = 25 years * 12 months/year = 300

Monthly Payment = 120000 * (0.00542 * (1 + 0.00542)^300) / ((1 + 0.00542)^300 - 1)

Monthly Payment  = $810.55

d. Capitol Bank Total interest

Total Interest = (810.55 * 300) - 120000

Total Interest = $123,165

e. Capitol Bank has the higher total interest by $58,503 ( $123,165 - $64,662).

f. The difference in the monthly payments is:

$1025.90 - $810.55= $215.35.

g. You could save 10 years of payments if you took up a 15-year mortgage as opposed to a 25-year mortgage.

Therefore the Monthly Payment  is $1,025.90.

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Answer:

It would be 6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

5x + 2 - 7x = -10

Combine the two x's:

-2x + 2 = -10

Subtract 2 from both sides:

-2x = -12

Divide both sides by -2:

x = 6

Answer:

6

Step-by-step explanation:

The prime factorization of 12x is 3*2*2x. The prime factorization of 18 is 2*3*3. The same thing that appears in both prime factorizations is 3*2, or 6.

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The cost of one computer is £600 and the cost of one printer is £800.

Computing equipment is bought from a supplier. The cost of 5 Computers and 4 Printers is £6,600, and the cost of 4 Computers and 5 Printers is £6,000. Form two simultaneous equations and solve them to find the costs of a Computer and a Printer.

Let the cost of a computer be x and the cost of a printer be y.

Then, the two simultaneous equations are:5x + 4y = 6600 ---------------------- (1)

4x + 5y = 6000 ---------------------- (2)

Solving equations (1) and (2) simultaneously:x = 600y = 800

Therefore, the cost of a computer is £600 and the cost of a printer is £800..

:Therefore, the cost of one computer is £600 and the cost of one printer is £800.

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Answer:

A=2(wl+hl+hw)

A=2(6ft×7ft+6ft×7ft+6ft×6ft)

A=2(42ft²+42ft²+36ft²)

A=2(120ft²)

A=240ft²

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Are yellow 1/7 in a percentage of 28=4

Answer:

4

Step-by-step explanation:

Since 1/7 of the 28 golf balls are yellow, we have to divide 28 by 7 to find out the precise number of balls.

28/7=4

Therefore, 4 of the golf balls are yellow.

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The radius of curvature of the lens is = 8cm

The radius of curvature is defined as the radius of the circle that is made by a spherical mirror or lens.

The focal length is defined as the distance between the point of convergence of your lens and the sensor

The refractive index is the measure of bending of a light ray when passing from one medium to another.

The relationship between focal length and radius of curvature is that R=2f

Where R = radius of curvature

f= Focal length

Therefore, radius of curvature = 2×4 =8cm

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The correct option will be C that is x+y=15 and 7x+12y=145 as the system of equation defines, "A group of equations involving one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations intersect, are the solutions to systems of equations".

A group of equations involving one or more variables is known as a system of equations. The variable mappings that satisfy each component equation, or the points where all of these equations intersect, are the solutions to systems of equations. In order for one term to have equal and opposite coefficients in the two equations, multiply one or both equations by an integer. The equations are combined to form a single equation with a single variable. Do the variable's solution. Reintroduce the variable into the equation and then find the value of the other variable. Systems of linear equations in two variables can be solved in one of three ways: by graphing; by the substitution method; or by the elimination method.

Here,

Let x be the plate of 7 inch and y be the plate of 12 inch.

x+y=15

The total of diameter for both the plate is 145 inches.

7x+12y=145

The right option is C, which has the values x+y=15 and 7x+12y=145. according to the equations' definition, "A system of equations is a collection of equations involving one or more variables. Systems of equations have solutions that are either the variable mappings that satisfy each component equation or the locations where all of these equations intersect ".

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56 employees chose purple as their favorite color choice for sales tags.

The circle graph is a visual representation of the data, where each sector's angle is proportional to the percentage of the total number of employees who chose that color. This graph is an effective way to communicate complex data quickly and easily.

From the circle graph, we can see that the sector for purple covers 20% of the total circle, which represents the percentage of employees who chose purple as their favorite color choice for sales tags. To find the actual number of employees who chose purple, we need to calculate 20% of the total number of employees surveyed.

20% of 280 is equal to (20/100) x 280 = 56.

Therefore, 56 employees chose purple as their favorite color choice for sales tags.

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the answer would be -144

you would have to multiply 3 by square 2, then multiply them which would be 3*4=12 and then you would square that which is 144 and because it is negative it would be -144

Answer:

Step-by-step explanation:

2 subtraction symbols equals a plus

so the answer is 9

When a line that is externally tangent to both circles intersects ray AB at point C, the value of BC is 12.

A tangent line to a circle in Euclidean plane geometry is a line that touches the circle at exactly one point while never entering the circle's interior. Tangent lines to circles are the topic of various theorems and are used in several geometrical constructions and proofs.

A tangent to a circle is a straight line that touches the circle just once. This is referred to as the point of tangency. The tangent to a circle is perpendicular to the radius at the point of tangency.

Let D and E be the tangent points of circles A and B with line CD, AB=8.

Also, set BC to x.

Because ADC and BEC are at right angles,

At the point of tangency, the radius is perpendicular to a tangent line, and both triangles share ACD, ADCBEC.

We can calculate the proportion from this.

BC/AC=BE/AD

x/(x+8)=3/5

5x=3x+24

2x=24

x=12

As a result, the value of BC=12

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"Externally tangent circles with centers at points A and B have radii of lengths 5 and 3, respectively. A line externally tangent to both circles intersects ray AB at point C. What is BC?"

Answer:

The true statements are the 1st, 2nd, and 4th statement.

Answer:

The equation is y=-1/2x-4

Step-by-step explanation:

(-4,-2) m=-1/2

y=mx+b

y=-1/2x+b

-2=-1/2(-4/1)+b

-2=2+b

-2 -2

-4=b

Answer:

Step-by-step explanation:

The repeated part is 194805, six digits. Let the fraction be x.

Convert as follows:

Find prime factors of both numerator and denominator and simplify by cancelling common factors:

The common factors are:

When they cancel we are left with:

10^7 = 10,000,000

9.7x10^7 = 9.7x10,000,000

9.7x10,000,000 = 97,000,000

8.7x10^5 = 870,000

870,000x25 = 21,750,000

1. 21,750,000 new people are added after 25 years

2. The total population after 25 years is 118,750,000

Answer:

2.10975E17

Step-by-step explanation:

8.7×10^5

×25

----------------------

2,175,000,000

×9.7×10^7

------------------------

2.10975E17

------------------------

Answer:

1. isosceles

2. isosceles have 2 sides that are the same length this is the same as the tringle in the picture.

Step-by-step explanation:

Pls give me brainliest

Answer:

It is isosceles triangle

Step-by-step explanation:

The steps in the above photo

The value of TN for this problem is given as follows:

B. 30.

A chord of a circle is a straight line segment that connects two points on the circle, that is, it is a line segment whose endpoints are on the circumference of a circle.

When two chords intersect each other, then the products of the measures of the segments of the chords are equal.

Then the value of x is obtained as follows:

8(x + 20) = 12 x 20

x + 20 = 12 x 20/8

x + 20 = 30.

x = 10.

Then the length TN is given as follows:

TN = x + 20

TN = 10 + 20

TN = 30.

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The slope-intercept equation for the given line is y = 2x + 3

From the question, we are to determine the equation for the line

The slope-intercept form of the equation of a straight line is

y = mx + b

Where m is the slope

and b is the y-intercept

First, we will determine the slope

Slope of the line = (3 - 0) / (1.5 - 0)

Slope of the line = 3/1.5

Slope of the line = 2

∴ m = 2

On the graph, we can observe that the y-intercept is 3

∴ b = 3

Thus,

The equation becomes

y = 2x + 3

Hence, the slope-intercept equation for the given line is y = 2x + 3

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Answer:

angle 2 and angle 7

.........they are exterior alternate angles

If there are 37 attendees, the cost of the picnic will be 37 times the unit rate, which is $74.

To solve this problem using unit rates, we need to find the cost per attendee. We can do this by dividing the total cost by the number of attendees:

Cost per attendee = Total cost / Number of attendees

For the first scenario where there are 13 attendees, we know the total cost is $26, so:

Cost per attendee = $26 / 13 = $2 per attendee

Now, we can use this unit rate to find the cost of the graduation picnic when there are 37 attendees:

Cost of graduation picnic = Cost per attendee x Number of attendees

Cost of graduation picnic = $2 x 37 = $74

Therefore, if there are 37 attendees at Doug's graduation picnic, it will cost $74.

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Answer:

\(\sqrt{3}\)

Step-by-step explanation:

look up a 30 60 90 triangle

Answer:-5

Step-by-step explanation:

-5•-3=15

The number can’t be any greater and still work. For example, if you used -4 instead of -5, you would get 12(which is less than 15)

According to the above, the point s coincides with number -5, the point t coincides with number -8.24 and the point u coincides with number 6.28.

To identify the points that coincide with the expressions we must perform the mathematical operations shown. In this case, we must find the roots and multiply the 2 by the number pi as shown in the expressions column.

An important point is that we must do these operations in the positive form and then put the negative symbol because it is not possible to find the root of a negative number.

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