Amelie has 385 muffins that she must package into boxes. Each box must hold 9 muffins. Amelie divides 385 by 9 and gets an answer of 42 R 7. What is the correct interpretation of R 7 for this situation?

story that represented equation, Maria, who liked cookie packages, did the arithmetic and discovered that the price of 4 cookie packages plus $5 is equivalent to the price of 12 cookie packages less $11.

A mathematical equation is a formula that connects two expressions with the equal sign = to express equality.

As a fan of cookie packages, Maria did the math and found that the cost of 4 packages of cookies + $5 is equal to the cost of 12 packages of cookies less $11.

\('a'\) represents the expense of a box of cookies,

On one side of the equation, we have the 4 packages of cookies plus $5.

\(4a + 5\)

additionally, the 12 packages of cookies less 11 dollars on the other side of the equation.

\(12a - 11\)

Now,

\(4a + 5 = 12a - 11\)

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Answer:

Una estrella en el cielo está relacionada con un punto de geometría básica.

Un punto es un objeto matemático que tiene una dimensión 0, pero que se puede especificar en un espacio de n dimensiones, utilizando coordenadas 'n'

Una estrella se puede ubicar usando un sistema de coordenadas, y las dimensiones de la estrella no se pueden estimar fácilmente a partir de su apariencia.

B. Un rayo de luz está relacionado con un rayo en geometría básica.

Un rayo en geometría básica, tiene un punto de inicio definido, pero no tiene fin, por lo tanto, un rayo de luz está relacionado con un rayo en geometría básica

C. La superficie del agua en el lago está relacionada con un plano en geometría básica.

La superficie del agua es una superficie coplanar, de manera que las cuatro esquinas y otros puntos existen en el mismo plano (la superficie del agua), lo que equivale al plano, que también tiene 3 o más puntos en el mismo nivel.

2. a. Cierto

Por favor el dibujo adjunto

DD DD

B. Cierto

Por favor el dibujo adjunto

DD SS DD SS

C. Cierto

Por favor el dibujo adjunto

DD SS DD SS

Step-by-step explanation:

Answer:

Alex has 3x dollars and an extra 15 dollars in his coat pocket. He buys a new Nike shoe for 84 dollars. How much money did Alex spend that was not in his pocket.

Step-by-step explanation:

Answer:

Part A: Word problem

Maria went to the store and purchased some books for her book club. Each book cost $3, and she also bought some bookmarks at $15 each. Maria's total purchase, including tax, amounted to $84. If Maria bought x books, write an equation to represent the situation.

Part B: Solution

To solve the equation 3x + 15 = 84, we need to isolate the variable x on one side of the equation.

Step 1: Subtract 15 from both sides of the equation to eliminate the constant term on the left side:

3x + 15 - 15 = 84 - 15

3x = 69

Step 2: Divide both sides of the equation by 3 to isolate x:

3x/3 = 69/3

x = 23

So, the solution to the equation is x = 23.

Part C: Explanation

In the given equation 3x + 15 = 84, the variable x represents the number of books Maria purchased. The equation states that the cost of x books at $3 each, represented by 3x, plus the cost of $15 for bookmarks, totals to $84. Thus, the value of x represents the number of books Maria bought in this scenario. In the solution, x = 23, it means Maria purchased 23 books for her book club.

Step-by-step explanation:

In mathematics, we can define ratio as how many times one number contains another. In the other word, a ratio says how much of one thing there is compared to another thing. Example, there are ten apples and six lemons in a basket of fruit, then the ratio of apples to lemons is ten to six (10:6). We can also say that the ratio of apples to the total amount of fruit is 10:16.

Ratios making us easier to understand the case by allow us to measure and express quantities.

Case:

- a box holds 20 marbles

-  13 green marbles

-  7 yellow marbles (20-13=7)

What is the ratio of yellow marbles to green marbles?

yellow : green

7 : 13 (7 to 13)

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The graph can be seen at the end, and by looking at it, you can see that a solution can be (10, 0).

y ≥ (-1/2)*x + 2 + 1/2

y < (1/5)*x + 6

To graph it, first we need to graph the lines:

y = (-1/2)*x + 2 + 1/2

y = (1/5)*x + 6

Once you have this, we analyze each inequality.

y ≥ (-1/2)*x + 2 + 1/2

Because we use the symbol ≥ we need to use a solid line and we need to shade the region above the line.

For y < (1/5)*x + 6 we need to use a dashed line (the symbol < implies that the points on the line are not solutions) and we need to shade the region below the line.

Then the solution of the system is given by the intersection of the shaded region.

For example, a solution can be the point (10, 0), which you can see that belongs to that region.

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The amount of their deposit will be $981.75

Sum refers to the addition of two or more numbers.

The amount of their deposit will be the sum of no cashback deposit and the checks.

This means that the amount of their deposit will be 25 twenties + 19 tens + 28 fives + 18 ones + 15 quarters + $25 + $20 + $85.

By Solving it, we will get

\((25\times 20)+(19\times 10)+(28\times 5)+(18\times 1)+(15\times \dfrac{1}{4})+25+20+85=500+190+140+18+3.75+25+20+85\\=981.75\)

So, the amount of their deposit will be $981.75.

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(a) d/dx(6x+3y) = 6 + 3(dy/dx)

(b) d/dx(5y^4+2x^3) = 6x^2 + 20y^3(dy/dx)

(c) d/dx(x^5y^4) = 5x^4y^4(dy/dx) + 4x^5y^3

In each case, we can apply the chain rule of differentiation to find the derivative with respect to x. The chain rule states that if y is defined implicitly in terms of x, then the derivative of y with respect to x can be found by multiplying the derivative of y with respect to x by the derivative of x with respect to x (which is 1). This is represented as dy/dx.

In part (a), the derivative of 6x with respect to x is simply 6, as the derivative of a constant multiplied by x is the constant itself. For the term 3y, we apply the chain rule and multiply the derivative of y with respect to x (dy/dx) by 3. Therefore, the derivative of 6x+3y with respect to x is 6 + 3(dy/dx).

In part (b), the derivative of 5y^4 with respect to x is 0, as y^4 does not involve x. For the term 2x^3, the derivative with respect to x is 6x^2. Applying the chain rule to the term 2x^3, we multiply the derivative 6x^2 by the derivative of y with respect to x (dy/dx) for the term involving y. Therefore, the derivative of 5y^4+2x^3 with respect to x is 6x^2 + 20y^3(dy/dx).

In part (c), we have a product of two variables x^5 and y^4. Applying the product rule, the derivative of x^5y^4 with respect to x is given by 5x^4y^4(dy/dx) + 4x^5y^3. The first term results from differentiating x^5 with respect to x and multiplying it by y^4, and then multiplying it by dy/dx. The second term arises from differentiating y^4 with respect to x and multiplying it by x^5.

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The William biked 16 miles distance up to the point of both stops. He stops a third of the way through the trail to rest before biking again.

William is biking a trail that is a total distance of 24 miles. He stops again 5 miles past the rest stop where there is a scenic lookout. Now we need to determine the distance, in miles, William biked up to the point of both stops.

First, we can start by finding the distance that William biked to the first stop. We can do that by dividing the total distance of the trail (24 miles) by 3 to find the distance of one-third of the trail:

24 / 3 = 8 miles

Therefore, William biked 8 miles to reach the first stop.

Next, we can find the distance William biked between the first and second stops. We know that William stopped 5 miles past the first stop, so we can subtract the distance of the first stop (8 miles) from that to get the distance between the stops:

5 - 8 = -3 miles

However, this doesn't make sense as we can't have negative distance. So, we can assume that there's a typo in the question and the distance to the second stop should be 8 miles instead of 5. So, we can add that distance to the distance biked to the first stop to get the total distance biked up to the second stop:

8 + 8 = 16 miles

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Answer:

\(y=-4x+17\)

Step-by-step explanation:

\(\begin{pmatrix}4&1\end{pmatrix}\quad \mathrm{and}\quad \begin{pmatrix}2&9\end{pmatrix}\)

\(\mathrm{Computing\:dot\:product\:of\:two\:vectors}:\quad \left(x_1,\:\:\ldots ,\:\:x_n\right)\cdot \left(y,\:\:\ldots ,\:\:y_n\right)=\sum _{i=1}^nx_iy_i\)

\(=4\cdot \:2+1\cdot \:9\)

\(=17\)

Answer:

x=3

Step-by-step explanation:

An equation's omitted factors are the values of x for which the result is unknown. This indicates that if the denominator or x(x-3) equals 0, your solution is undefined.

Set up this equation and solve for the potential possibilities of x to find these numbers: x(x-3)=0

Divide both sides by (x-3) to find one of the values:

x(x-3)/(x-3)=0(x-3)

Because (x-3) cancels on the left side of the equation and everything divided by 0 is zero on the right, you should get: x=0.

Now that you've determined one of the excluded values, work out the other:

To begin, split both sides by x:

x(x-3)=0

x-3=0

Finally, multiply both sides by -3 to get: x=3

Answer: 25°

Step-by-step explanation:

From the question, Toothy the crocodile wants to eat a delicious chicken and his mouth is open to an angle of 30 degrees but he needs to open his mouth to the angle of 55 degrees for the chicken to fit.

The additional angle that Toothy's mouth needs to be open so he can eat the chicken will be:

= 55° - 30°

= 25°

Answer:

25

Step-by-step explanation:

did it on khan academy

mhorn seems to be correct

Step-by-step explanation:

yshahaa

Answer:

$18,480

Step-by-step explanation:

so rate of the car, increases annually by 14%

so in 4 years time it will be 14×4= 56%

new car purchased is $42,000

to find the car's value in 4 years time it would be

100%-56%,which is 44%

then 44% of $ 42,000 will give you

$18,480

Answer:

llllllllllsgduehidhejeiwhu

Answer:

-8

Step-by-step explanation:

The equation is written in the form y=mx+b, where m is the slope and b is the intercept. So here the intercept is -8.

Answer:

The data table is attached below.

Step-by-step explanation:

The average of a set of data is the value that is a representative of the entire data set.

The formula to compute averages is:

\(\bar x=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}\)

Compute the average for drop 1 as follows:

\(\bar x_{1}=\frac{1}{3}\times[10+11+9]=10\)

Compute the average for drop 2 as follows:

\(\bar x_{2}=\frac{1}{3}\times[29+31+30]=30\)

Compute the average for drop 3 as follows:

\(\bar x_{3}=\frac{1}{3}\times[59+58+61]=59.33\)

Compute the average for drop 4 as follows:

\(\bar x_{4}=\frac{1}{3}\times[102+100+98]=100\)

Compute the average for drop 5 as follows:

\(\bar x_{5}=\frac{1}{3}\times[122+125+127]=124.67\)

The data table is attached below.

The average of the numbers in the data table will be 10, 30, 59.33, 100, and 124.67.

The average for drop 1 will be:

= 1/3 × (10 + 11 + 9)

= 10

The average for drop 2 will be:

= 1/3 × (29 + 31 + 30)

= 30

The average for drop 3 will be:

= 1/3 × (59 + 58 + 61)

= 59.33

The average for drop 4 will be:

= 1/3 × (102 + 100 + 98)

= 100

The average for drop 5 will be:

= 1/3 × (122 + 125 + 127)

= 124.67

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Answer:

34523

Step-by-step explanation:

345-23=po

If m∠2 =(3x+2)° and m∠3 = 100° and the angle is linear pairs the value of x will be 26°.

When two lines or rays converge at the same point, the measurement between them is called an "Angle."

It is given that,

m∠2 =(3x+2)°

m∠3 = 100

If the ∠2 and ∠3 are linear pairs the sum of the angles is 180°.

Only when a pair of neighboring angles add up to 180 degrees is the pair referred to be a linear angle. For instance, the sum of the neighboring linear angles of 40 degrees and 140 degrees will equal 180 degrees, making them known as linear angles.

∠2 + ∠3 = 180°

(3x+2) + 100 = 180°

(3x+2) = 180° - 100

(3x+2) = 80

3x = 80 -2

3x =78

x =26

Thus, if m∠2 =(3x+2)° and m∠3 = 100° and the angle is linear pairs the value of x will be 26°.

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In this question, we are given a subset "c" of a set "v" with a specific property.

The property states that if both "u" and "v" belong to "c", then the point "1" that lies between "u" and "v" also belongs to "c".

Now, let's assume that "w" is an element of "v". We need to show that there can be at most one point "u" in "c" that is closest to "w".

To prove this, we can use proof by contradiction. Let's assume that there are two points "u1" and "u2" in "c" that are closest to "w".

Since "u1" is closest to "w", the distance between "w" and "u1" must be less than the distance between "w" and any other point "v" in "c". Similarly, the distance between "w" and "u2" must also be less than the distance between "w" and any other point "v" in "c".

Now, consider the point "1" that lies between "u1" and "u2". By the given property of "c", since both "u1" and "u2" belong to "c", the point "1" also belongs to "c".

But this contradicts our assumption that "u1" and "u2" are the closest points to "w". If "1" belongs to "c", then the distance between "w" and "1" would be smaller than the distances between "w" and "u1" and between "w" and "u2". This contradicts our initial assumption.

Therefore, we can conclude that there can be at most one point "u" in "c" that is closest to "w".

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Answer:

22

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

The top of the bar tells us how many student had a ranged number of pets in each section.

12 students had 0-4 pets

4 students have 5-9

2 student have 10-14

3 students have 15-19

0 have 20-24

1 have 25-29.

Add up the number of students

12+4+2+3+1=22

Total surface area of the regular square-based pyramid is 156 square units.

To find the total surface area of a regular square-based pyramid, we need to calculate the area of the base and the lateral faces.

First, let's calculate the area of the base. Since the base of the pyramid is a square, we can find its area by squaring the length of one side. In this case, the base side length is 6 units, so the area of the base is 6^2 = 36 square units.

Next, let's calculate the area of the four triangular lateral faces. Each lateral face is a triangle with base equal to the base side length of the pyramid (6 units) and height equal to the slant height of the pyramid (10 units). The area of each triangular face can be calculated using the formula for the area of a triangle: (1/2) * base * height. Therefore, the area of each triangular face is (1/2) * 6 * 10 = 30 square units.

Since there are four triangular lateral faces, the total area of the lateral faces is 4 * 30 = 120 square units.

Finally, to find the total surface area, we add the area of the base and the area of the lateral faces: 36 + 120 = 156 square units.

So, the total surface area of the regular square-based pyramid is 156 square units.

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Answer:

Congruent triangles are exact same triangles, but they might be placed at different positions. The corresponding congruent part for each segment or angle can be arranged as shown below.

What are congruent triangles?

Suppose it is given that two triangles ΔABC ≅ ΔDEF

Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.

The order in which the congruency is written matters.

For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.

Thus, we get:

(|AB| denotes the length of line segment AB, and so on for others).

Given the two triangles, ΔDFC and △SNP are congruent to each other, DFC≅△SNP. Therefore, we can write,

Step-by-step explanation:

Answer is Option B i.e., {(-2,4), (-1,0), (1,7), (-2,-4)}

Definition of a Function:

A function is a set of ordered pairs in which each x-element has Only One y-element associated with it.

The Y value can be repeated but X values should not repeated more than 1 in a set.

(Here),

Only in Option-B, the x-value = -2 has repeated more than one.

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The average atomic mass of the element in the data table is given as follows:

28.1 amu.

The mean of a data-set is given by the sum of all observations in the data-set divided by the cardinality of the data-set, which represents the number of observations in the data-set.

For the weighed mean, we calculate the mean as the sum of each observation multiplied by it's weight.

Hence the average atomic mass of the element in the data table is given as follows:

0.922297 x 27.977 + 0.046832 x 28.976 + 0.030872 x 29.974 = 28.1 amu.

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Yes, triangle inequality theorem apply to all equilateral triangles.

The triangle inequality theorem explains the relation between a triangle's three sides. This theorem states that for any triangle, the sum of the lengths of the first two sides is always greater than the length of the third side. In other terms, this theorem states that a straight line is always the shortest distance between any two places.

So Triangle inequality theorem is not only valid for all equilateral traingles but it is valid for all traingles.

A Triangle is only formed is if follows Triangle inequality theorem so every equilateral triangle needs to follow this theorem.

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The length of the arc intersected by a central angle of radians in a circle with a radius of 2 ft is approximately 5.2 ft. The central angle is given as radians and the radius of the circle is 2 ft

To find the length of the arc intersected by a central angle, we can use the formula:

Length of arc = (central angle / 2π) * 2πr

Given that the central angle is in radians, we can plug in the values into the formula:

Length of arc = (radians / 2π) * 2π * radius

In this case, the central angle is given as radians and the radius of the circle is 2 ft. So, we have:

Length of arc = ( radians / 2π) * 2π * 2

Simplifying this expression, we can cancel out the 2π terms:

Length of arc = radians * 2

To round the answer to the nearest tenth, we need to calculate the value of the given central angle in radians:

radians = 150 degrees * π / 180

After substituting the value of radians in the formula, we get:

Length of arc = (150 * π / 180) * 2

Now, we can calculate the value using the approximation of π as 3.14:

Length of arc = (150 * 3.14 / 180) * 2

Length of arc = 5.24 ft (rounded to the nearest tenth)

Therefore, the length of the arc intersected by a central angle of radians in a circle with a radius of 2 ft is approximately 5.2 ft.

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Answer:

The median (half-above and half-below) could not have changed, because "corrected value was still lower than any other salary" does not change the position of that observation (still least) in the sorted list of salaries.

HOPE THIS HELPED < 33

Step-by-step explanation: