The average of the first 3 weights was 20 pounds. the average of the next twelve was 25 pounds. what was the overall average of the weights

The graph of 2x + 3y = 1470 have a y intercept of 490

An equation is a expression that shows the relationship between numbers and variables.

The standard form of a linear equation is:

y = mx + b

Where m is the rate of change and b is the y intercept

Let x represent the number of sandwich and y represent the number of wraps.

The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. Hence:

2x + 3y = 1470

The graph is attached

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Answer: Information given below…

Step-by-step explanation:

Answer:

QR =40

Step-by-step explanation:

25÷5=5

35÷7=5

They are similar so we can conclude that QPR is 5 times bigger than ABC

Therefore

8^5= 40

And that's the answer

Answer:

JF

Step-by-step explanation:

There is a rule where if the angle in a triangle is facing the smallest side, that angle is the smallest of the other 2 angles in the triangle, and vice versa. If the angle in a triangle is facing the biggest side, well, you can see where this is going(the angle is the biggest)

So if we look at this beautiful drawing that I drew :

Angle <JFR is 180 - 115, which is 65.

And the last angle is 180 - 65 - 35 = 80

Angle R is the biggest angle.

So the side that is facing R is the longest side, which is JF

The 100th number of the sequence 1, 4, 7, 10..., is 298.

The given series 1, 4, 7, 10..., is an AP.

Arithmetic Progression (AP) is a sequence of numerals in order, in which the difference between any two consecutive digits is a constant value. A progression is a type of sequence for which it is possible to get a formula for the nth term.  

The Arithmetic Progression is the most generally used sequence in maths with easy-to-understand formulas. The nth-term formula of the AP (arithmetic progression) is

aₙ = a₁+ d(n-1)

Where

n = number of terms

a = first term

d = common difference

Here, n = 100, d = 3 and a₁ = 1

[tex]a_{100}[/tex] = 1 + 3(100-1)

[tex]a_{100}[/tex] = 1 + 3(99)

[tex]a_{100}[/tex] = 1 + 297

[tex]a_{100}[/tex] = 298

--The given question is incorrect, the correct question is

''If we count by 3's starting with 1, the following sequence is obtained: 1, 4, 7, 10..., what is the 100th number in this sequence?"--

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The intersection between the sphere and the plane is the is diameter.

A sphere is a geometrical object that is a three-dimensional analogue to a two-dimensional circle. A sphere is the set of points that are all at the same distance r from a given point in three-dimensional space. That given point is the centre of the sphere, and r is the sphere's radius.

Given that, segment MN has endpoints on a sphere. If segment MN does not pass through the center of the sphere.

A chord of a circle is a straight line segment whose endpoints both lie on a circular arc.

So, the most specific name for segment MN is chord.

Here, segment MN lies on a plane that intersects the center of a sphere.

A diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circle.

Therefore, the intersection between the sphere and the plane is the is diameter.

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Answer:

Boon Li spent 7/12 of his money altogether.

Answer:

(0, 9)

Step-by-step explanation:

y = 9 is the same as (0, 9)

Answer:

Step-by-step explanation: if 9p to the 3rd power is what I think it means the answer is 1458 if the 9 just means 9 then the answer is 18

The reason why parallel line is so important in our everyday lives is that help us to understand the path of the objects and sides of the various shapes.

Because they allow us to construct congruent angle pair relationships, parallel lines and transversals are crucial to the study of geometry.

Understanding the movement of objects and the sides of various forms is made easier with the aid of parallel lines. For instance, the opposing sides of parallelograms, squares, and rectangles are parallel to one another. The parallel line is frequently employed in the building sector.

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Answer:

x = 9

Step-by-step explanation:

the intersecting secants theorem states that IH * IS = IF * IT

here, x = IH

x * 16 = 8 * (10+8)

16x  = 144

divide both sides by 16 to get x

x = 9

The specific heat shows that Substance Y has more atoms per gram than substance W.

Specific heat:

Specific heat is a property of a substance that describes how much heat energy is required to raise the temperature of a certain amount of that substance by one degree. It is typically measured in units of joules per gram per degree Celsius (J/g°C).

Different substances have different specific heats. For example, water has a relatively high specific heat of 4.18 J/g°C, which means that it takes a lot of heat energy to raise the temperature of water by one degree. This is why water is often used as a coolant or in air conditioning systems, as it can absorb a large amount of heat energy without experiencing a significant temperature change.

Therefore, the specific heat shows that Substance Y has more atoms per gram than substance W.

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Hi!

y = m x + c is the slope intercept form of a line whose slope is m and

y intercept is c. Hence

y=x/2+5

LCM

y=x+10/2

2y=x+10

x-2y+10=o

Required equation of the line is x - 2 y +10 = 0

Answer: 2 meters

Step-by-step explanation:

[tex]\frac{20.8 \text{ m}}{10.4 \text{ min}}=2[/tex]

Answer: 2 Meters

Step-by-step explanation: 20.8 divided by 10.4 is 2

The values of b that makes the lines parallel are given as follows:

b = ± 3/2.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

When two lines are parallel, they have the same slope.

Given two points, the slope is given as the change in y divided by the change in x.

This means that the slopes for each line are given as follows:

As they are parallel, the value of b is obtained as follows:

4b/3 = 3/b.

4b² = 9

b² = 9/4

[tex]b = \pm \sqrt{\frac{9}{4}}[/tex]

b = ± 3/2.

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On solving the provided question, we can say that the equation representing the path of each kangaroo. x = 4ft and y = 11ft

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

equation

let X be kangaroo 1

and Y be kangaroo 2.

So the equation

X = 3ft + 1ft

while

Y = 5ft + 1ft +.5ft.

and now,

x = 4ft and y = 11ft

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The number of such paths from (0,0) to (85,65) is C(150, 85).

What is co-ordinate ?

In mathematics, a coordinate is a pair of numerical values that represent a specific location on a two-dimensional surface, such as a graph, a map, or an image. The two values are usually referred to as the x-coordinate and the y-coordinate.

A path from (0,0) to (85,65) on the integer grid that starts at (0,0) and increments one coordinate by 1 and leaves the other unchanged at each step is equivalent to a sequence of 85 "right" steps and 65 "up" steps. The number of ways to arrange these steps is given by the binomial coefficient C(85+65, 85), which is the number of ways to choose 85 items (the "right" steps) from a set of 150 items (85 "right" and 65 "up" steps) without replacement and where order matters.

The general formula for the binomial coefficient is C(n, k) = n! / (k!(n-k)!), where n! is the factorial of n, i.e., the product of all integers from 1 to n, and k! is the factorial of k. Using this formula, we have:

C(150, 85) = 150! / (85!(150-85)!) = (150149148*...6665) / (858483*...1) = (150149148...6665) / (85!)

So, the number of such paths from (0,0) to (85,65) is C(150, 85).

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Answer:

The sunflower is 28 inches tall after 9 weeks

The sunflower is 2w + 10 tall after w weeks

Step-by-step explanation:

We know

The sunflower was 10 inches tall, growing at a rate of 2 inches per week. Let's T represent the tall of the sunflower; we have the equation

t = 2w + 10

How tall would the sunflower be after 9 weeks?

t = 2(9) + 10

t = 28 inches

How tall would the sunflower be after w weeks?

t = 2(w) + 10

t = 2w + 10

So,

The sunflower is 28 inches tall after 9 weeks

The sunflower is 2w + 10 tall after w weeks

Therefore , the solution of the given problem of unitary method comes out to be Points equal 5020 for each life.

The unitary strategy is a way of solving problems that involves first figuring out how much of a single model there is, then multiplying that value to achieve the solution. Simply described, the unit technique is used to retrieve a single program value from a supplied many. As an example, 40 pens cost 400 rupees ($1.01), or Rs. It's possible that the procedure utilized to do this will be regulated. a single country. Anything has a distinguishing feature. Its capable of integrating and reciprocal are equal (mathematics, algebra).

Here,

There are 5 enemies.

Each adversary is worth 3012 points.

Total points: 15060 (or 3012 multiplied by 5)

There are 3 lives left.

Points for every life equal?

Points per life are calculated as follows: total points / quantity of life = 15060/3

Points equal 5020 for each life.

Therefore , the solution of the given problem of unitary method comes out to be Points equal 5020 for each life.

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The values in b are compared with the true volume. And we conclude that b is precise and accurate.

Accuracy determines how closely measured values match the actual value. The degree to which two measured values are inside a certain range, or how closely they agree, is called precision.

First calculate the mean of a, b, and c. We get, the mean of a is 87.63, the mean of b is 87.06, and the mean of c is 87.77.

From the values in "a", we can tell there is no good agreement between the given values, and just one (87.1) value is near to the true value. So a is neither precise nor accurate.

From the values in "b", we can tell these given values are reasonably close to the true value and exhibit good agreement. So b is precise and accurate.

From the values in "c", we can tell there is a considerable agreement between the given values but they are not very close to the true value. So c is precise but not accurate.

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x- intercept:  x = -1.33, y- intercept: y = log 4 + 2

Suppose that the line considered be of the form  y=f(x)

The equation for y-axis is x = 0

Thus, intersection between both the curves is obtained by putting x = 0 in the considered function.

We get x=0 and y=f(0)

Thus, the coordinate point of intersection with y-axis is (0,f(0))

And the equation for x-axis is y=0

Thus, its intersection with given function is at y= 0 and y such that

f(x)=0

Given equation,

y = log (3x+4) + 2,

For x - intercept,

y = 0,

0= log(3x+4) +2

-2= log(3x+4)

10^-2= 3x+4 ([tex]log_{m}[/tex]a=b => a=m^b)

0.01= 3x+4

0.01-4=3x

x= -3.99= -1.33

For y-intercept,

x = 0,

y=log(3(0)+4)+2= log4+2

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The shortest distance between points A and B on the cylinder is 6 inches.

This problem uses the Pythagorean Theorem to calculate the shortest distance between points A and B. The Pythagorean Theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

In this problem, the hypotenuse is the shortest distance between points A and B and the other two sides are the radius and height of the cylinder.

Step 1: Calculate the radius of the cylinder by dividing the circumference of the base (18 inches) by 2π (3.14159):

r = 18 inches / 2π = 2.827 inches

Step 2: Calculate the height (h) of the cylinder by subtracting the radius from the total height (12 inches):

h = 12 inches - 2.827 inches = 9.173 inches

Step 3: Calculate the shortest distance between points A and B by multiplying the height (h) by 2:

d = 9.173 inches x 2 = 18.346 inches

Step 4: Round the result to the nearest whole number:

d = 18.346 inches ≈ 6 inches

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As per the unitary method, the place of marks in the water level in the cooler is 2.0 and 2.2 respectively.

Here we have given  cooler contains 4 l of water. the cooler has marks on it at every 0.2 l.

And here we also know that water bottles are filled with water from the cooler, and each bottle holds approximately 4/9 l.

Then the marking on the cooler are written as 0.2, 0.4, 0.6, 0.8, ...

Here we know that the water bottle will hold 4/9l of water

Here we have to convert the fraction into decimal form, then we get,

=> 4/9

=> 0.44

Then the water that can be filled on 4 bottle is calculated as,

=> 4 x 0.44

=> 1.76

Then the remaining water is calculated as,

=> 4 - 1.76

=> 2.24

Then the level of water mark in the cooler is 2.0 and 2.2

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Answer:

y = x + 5

Step-by-step explanation:

You can see that x is increasing at exactly the same rate as y. That rate is 1. This gives the graph a slope of 1. Now we can determine by subtracting 1 from y when x = 1 that the y intercept is 5. Slope intercept is y = mx+b. The y intercept is b which is five and the slope is m which is one.

There are 37,837,800 ways to distribute 15 distinguishable objects into five distinguishable boxes so that the boxes have one, two, three, four, and five objects in them, respectively.

We are trying to find the number of ways to distribute 15 distinguishable objects into five distinguishable boxes so that each box has 1, 2, 3, 4, and 5 objects in them, respectively.

We can use the formula for combination to solve this problem. The number of ways to distribute n distinct objects into r distinct boxes where the first box has k1 objects, the second box has k2 objects, ..., and the last box has kr objects is:

n! / (k1! * k2! * ... * kr!)

Where n! is the factorial of n, k1! is the factorial of k1 and so on.

In this case, we have 15 distinct objects and 5 distinct boxes where the first box has 1 object, the second box has 2 objects, the third box has 3 objects, the fourth box has 4 objects, and the fifth box has 5 objects.

So, the number of ways to distribute 15 distinguishable objects into five distinguishable boxes so that the boxes have one, two, three, four, and five objects in them, respectively is:

15! / (1! * 2! * 3! * 4! * 5!) = 15! / (1×2×6×24×120)

= 37,837,800

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The linear equation in slope-intercept form from the given description is

c = 9.25x + 4.50.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

The standard form of slope-intercept form:

y = mx + b,

where m is the slope and b is the y-intercept.

The cost c, of instant camera film is $9.25 per box, x, plus $4.50 in shipping.

That means,

c = 9.25x + 4.50

Therefore, the linear equation is c = 9.25x + 4.50.

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He need 12 cup of water.

Algebra is a branch of mathematics that studies the manipulation of symbols in equations. It is used to solve problems involving unknowns, such as finding the solution to equations or determining the unknown value of a variable. Algebra is used in many areas of mathematics, science, and engineering. It is also used to understand and analyze functions, graphs, and other mathematical relationships. Algebra has applications in fields such as finance, physics, chemistry, and engineering.

To solve this problem, we can set up a proportion. Since the ratio of water to sugar is 4 to 1, and the ratio of sugar to lemon juice is 2 to 1, we can write the proportion 4/1 = 2/x, where x is the amount of water. Solving for x, we get x = 4/2 = 2. Multiplying this by the amount of lemon juice, 3 cups, gives us our answer of 12 cups of water.

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Answer:

0.25 or 1/4

Step-by-step explanation:

To find the common ration in a geometric sequence, divide the second number by the first number.  In this case, divide 6 by 24.

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The percentage for Utah is 9.0%.

The collection of data is gathered and chosen from a statistical population with the use of some prescribed techniques in both statistics and quantitative methodology. Data sets may be divided into two categories: sample and population.

All the components of the data set are included in the population, which also contains quantifiable qualities like mean and standard deviation.

A sample is made up of one or more observations that are taken from the population, and a statistic is what makes a sample quantifiable. The act of sampling is the selection of a sample from a population.

Thus, The percentage for Utah is 9.0%.

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The slope formula, when two points are on a line, the Slope-intercept formula, Point-slope formula, are the 3 types of slope formulas.

The slope of a line is defined as the change in the y coordinates with respect to the change in the x coordinate of that line.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of the line in the coordinate plane.

Slope formula:  m = (y₂ - y₁) / (x₂ - x₁), when two points on a line,

Slope-intercept formula: y = mx + b, the slope, and y-intercept of a line

Point-slope formula: y - y1 = m(x - x1), the slope of a line and a point on the line.

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There's still a 5.48% chance that you'd find that the average of their 64 wages is $6.90 or less so to assume that the wage rate of the ethnic group is equivalent to that of a random sample of workers from those employed in the service industry is not valid.

If the true mean of this group's wages is also $7.00 and the standard deviation is $0.50, then the average of a sample of n workers has the same mean and a standard deviation of (pop. stan. dev. / √n).

In this case, the sample average is a random variable with a mean of $7.00 and a standard deviation of $0.50/√64 = 0.0625.

If a random variable has a normal distribution with a mean $7.00 and st. dev. $0.0625, then the probability of observing it as $6.90 or less is:

P[sample mean < 6.90] = P[z < (6.90 - 7.00)/0.0625] = P[z < -1.6] = 0.0548.

In other words, it could be the case that there's no discrimination against ethnic workers, and there's still a 5.48% chance that you'd find that the average of their 64 wages is $6.90 or less.

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