Marcos has 25 pieces of candy. He grabbed 1 more than two times the number of starbursts than he did Hershey kisses. Write a system of equations and solve using substitution.

Answer:

c

Step-by-step explanation:

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Explanation:

The point (-7,-3) means x = -7 and x = -3

Right off the bat, the first equation x = -7 is proven true based on the first coordinate.

Let's now plug the coordinates into the second equation.

y = -x-10

-3 = -(-7)-10

-3 = 7-10

-3 = -3

Which is a true statement.

Both equations are true when (x,y) = (-7,-3)

This is why it is a solution to the system. It turns out it's the only solution to this system. This system is consistent and independent.

You can use a graphing tool like Desmos to plot the two equations, and you should see them crossing at the point (-7,-3)

Answer:

The answer is yes

*View the attached graph to check your answer graphically.*

Step-by-step explanation:

x = -7

y = -x - 10

For this problem, I will be using substitution, since the second equation is already in the slope-intercept form.

First, I will substitute the first equation, for x, into the first equation:

x = -7

y = -x - 10

y = -(-7) - 10 <== multiplying two negatives, makes a positive

y = 7 - 10

y = - 3 <== the value of y

Now, we find the value of x by substituting - 3 for y:

y = -x - 10

- 3 = -x - 10

+10     +10

7 = -x <== you can't have a negative variable

/-1    /-1

-7 = x <== the value of x

(x, y) ==> (-7, -3)

Therefore, yes (-7,-3) is a solution to this system of equations.

*View the attached graph to check your answer graphically.*

Hope this helps!

Answer:

Ann's bakery

Step-by-step explanation:

450/3=150

560/4=140

Answer:

Native Americans relied heavily on bison for their survival and well-being, using every part of the bison for food, clothing, shelter, tools, jewelry and in ceremonies

Number of candies that will be left with Jack is 1.375 pounds if the total candies were 5 pounds.

Subtraction can be done for any numbers or algebraic expressions.

It is the process of taking out certain value from a given amount of number.

The process of subtraction can also be called as finding the difference.

Given that,

Total candies that Jack bought = 5 pounds

Candies given to trick or treaters = 3 pounds

Candies left = 5 - 3 = 2 pounds

Amount of candies ate = 10 ounces

16 ounces = 1 pound

10 ounce = 10 / 16 pounds = 0.625 pounds

Amount of candies ate in pounds = 0.625 pounds

Candies left = 2 - 0.625 = 1.375 pounds

Hence the amount of candies left is 1.375 pounds.

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Your question is incomplete. The complete question is given below.

Jack bought 5 pounds of Halloween candy. He gave out 3 pounds of the candy to trick or treaters and ate 10 ounces of the candy. How many ounces of Halloween candy does jack have?

Answer:

the 8 in the graph

Step-by-step explanation:

\((\stackrel{x_1}{-2}~,~\stackrel{y_1}{10})\qquad (\stackrel{x_2}{-9}~,~\stackrel{y_2}{-5}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{10}}}{\underset{run} {\underset{x_2}{-9}-\underset{x_1}{(-2)}}} \implies \cfrac{-15}{-9 +2} \implies \cfrac{ -15 }{ -7 } \implies \cfrac{ 15 }{ 7 }\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{10}=\stackrel{m}{ \cfrac{ 15 }{ 7 }}(x-\stackrel{x_1}{(-2)}) \implies y -10 = \cfrac{ 15 }{ 7 } ( x +2) \\\\\\ y-10=\cfrac{ 15 }{ 7 }x+\cfrac{ 30 }{ 7 }\implies y=\cfrac{ 15 }{ 7 }x+\cfrac{ 30 }{ 7 }+10\implies {\Large \begin{array}{llll} y=\cfrac{ 15 }{ 7 }x+\cfrac{100}{7} \end{array}}\)

Answer:

x=5 y=-2.

Step-by-step explanation:

The multiplicity of a root r of the characteristic equation of A is called the algebraic multiplicity of r as an eigenvalue of A.

The above statement is True.

Eigenvalue:

An eigenvalue is a special set of scalar values ​​associated with the most probable system of linear equations in a matrix equation. Eigenvectors are also called eigenvalues. It is a non-zero vector which can be modified by at most its scalar factor after applying a linear transformation.

According to the Question:

If the geometric multiple of the eigenvalues ​​is greater than or equal to 2, the linearly independent set of eigenvectors is no longer unique to the multiple as before. For example, for the diagonal matrix A=[3003], one could also choose the eigenvectors [11] and [1−1], or any pair of two linearly independent vectors.

Sometimes vectors are simply expanded to vector times matrix. If this happens, this vector is called the eigenvector of the matrix and the "stretch factor" is called the eigenvalue. Example: Given a square matrix A, λ is the eigenvalue of A, and the corresponding eigenvector x is

Ax = λx.

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Answer:

0.65

Step-by-step explanation:

The r-value option (B) 0.65 represents the strongest correlation.

The correlation coefficient is a quantitative method of calculating correlation. It is a statistical concept, which helps in establishing a relation between predicted and actual values obtained in a statistical experiment.

For the given situation,

We need to determine the r-value that represents the strongest correlation.

The relationship between two variables is generally considered strong when their r value is larger than 0.7.

Among the options, 0.65 is near to 0.7, so it has strongest correlation.

Hence we can conclude that the r-value option (B) 0.65 represents the strongest correlation.

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The fractions of the hole above that are the standard 4 patterns blocks are as follows:Standard pattern block hexagon: 1/1 or 1Trapezoid: 0/1 or 0Parallelogram: 0/1 or 0Rhombus: 0/1 or 0

To find the fractions of the hole above that are the standard 4 patterns blocks, we need to analyze the given figures. The figures are as follows:

Figure 1: The standard pattern block hexagon

Figure 2: A trapezoid

Figure 3: A parallelogram

Figure 4: A rhombus

Now, we need to identify which of these figures fit into the given hole. Looking at the hole, we can see that it is in the shape of a hexagon. Therefore, the only pattern block that can fit into this hole is the standard pattern block hexagon. Hence, the fraction of the hole above that is the standard pattern block hexagon is 1/1 or simply 1. No other pattern blocks fit into the given hole. Therefore, the fractions of the hole above that are the standard 4 patterns blocks are as follows:

Standard pattern block hexagon: 1/1 or 1

Trapezoid: 0/1 or 0

Parallelogram: 0/1 or 0

Rhombus: 0/1 or 0

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12 People plan to visit the art museum only.

What is Set Theory?

We study sets and their characteristics in the area of mathematical logic known as set theory. A set is a collection of things or a group of things. These things are frequently referred to as elements or members of a set. A set is, for instance, a group of cricket players. A set is a clearly defined collection of things or people, as we already learnt in the introduction. Numerous examples from everyday life, such as the number of rivers in India and the colors in a rainbow, can be used to relate sets.

Given,

Total no of people =116

No of people visiting any of the three places = total - people visiting none of the places

= 116 -14 = 102

No of people visiting only Gateway arch = total people visiting gateway arch - (people visiting all the three +  people visiting Gateway ans museum butnot zoo +people visiting gateway and zoo butnot museum)

= 66 - (18+9+14) = 25

Similarly, people visiting only zoo = 14

Total no of people plan to visit Art Museum only = 102 - (25+14+9+18+10+14) = 112

12 People plan to visit the art museum only.

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Answer:

16.789

Step-by-step explanation:

The end of the number doesnt end in a 0 and all of the numbers after the decimal are significant

Answer:

16.789

Step-by-step explanation:

The end of the number doesn't end in a 0 and all of the numbers after the decimal are significant

Step-by-step explanation:

We have:  8x=26+14y

Standard form is in format of   ax + by = c

where a, b, c are numbers.

All you have to do is subtract 14y from both sides of the equation.

8x - 14y = 26

This can also be reduced since each term has a common factor of 2

4x - 7y = 13

Answer:

8x-14y-26=0

Step-by-step explanation:

simply move the 26 and 14y over to the other side of the equation making sure that you flip the signs on both

Answer:

4a/5

Step-by-step explanation:

(a+a+a+a) / 5

Combine like terms

4a/5

Answer:

x = -6

Step-by-step explanation:

Hello!

2x - 15 = 3(2x + 3)

Distribute the 3

3 * 2x = 6x

3 * 3 = 9

2x - 15 = 6x + 9

Subtract 2x from both sides

-15 = 4x + 9

Subtract 9 from both sides

-24 = 4x

Divide both sides by 4

-6 = x

Hope this helps!

Answer:

Step-by-step explanation:

The formula to calculate the volume of a cone is:

v = h * π * r ^ 2/3

Where,

h: height

r: radio

We then clear the value of h:

h = (3 * v) / (π * r ^ 2)

We substitute the values:

h = (3 * (118π)) / (π * ((2/3) / (2)) ^ 2)

h = 3186 ft

Answer:

The height of the cone is:

h = 3186 ft

By using the concept of compact set, it can be proved that

|f(x)−f(y)|≤A∥x−y∥+ϵ,∀x,y∈K.

What is compact set?

A set K is said to be compact if every open cover of K has a finite subcover.

Let K⊆Rn is compact  f:K→R is continuous, and ϵ>0

Let there exist \(x_n, y_n\) ∈ K such that |f(\(x_n\))−f(\(y_n\))| > n∥\(x_n\)−\(y_n\)∥+ϵ,

Since K is compact there is a subsequence \(x_{nk}\) and \(y_{nk}\) of \(x_n, y_n\) respectively such that \(x_{nk}\) converges to x and \(y_{nk}\) converges to y.

So,  |f(\(x_{nk}\))−f(\(y_{nk}\))| > \(n_k\)∥\(x_{nk}\)−\(y_{nk}\)∥+ϵ,

Since f is continuous,

We can write

|f(x)−f(y)| > \(n_k\)∥x - y∥+ϵ,

This is true for infinite many \(n_k\)

So ||x - y|| = 0

|f(x) - f(y)| > ϵ, a contradiction since f is continuous

So,  there is a number A>0 such that

|f(x)−f(y)|≤A∥x−y∥+ϵ,∀x,y∈K.

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To find the probability that the buyer will select no garage, we can utilize the concept of complementary events. The probability of an event occurring is equal to 1 minus the probability of its complement (the event not occurring).

In this case, the complement of selecting a two-car garage or a one-car garage is selecting no garage. Therefore, the probability of selecting no garage is:

P(no garage) = 1 - P(two-car garage) - P(one-car garage)

Given that the probability of selecting a two-car garage is 0.77 and the probability of selecting a one-car garage is 0.19, we can substitute these values into the formula:

P(no garage) = 1 - 0.77 - 0.19

P(no garage) = 1 - 0.96

P(no garage) = 0.04

Therefore, the probability that the buyer will select no garage is 0.04 or 4%.

In summary, when considering the complementary events, the probability of selecting no garage is 0.04 or 4%. This means that there is a 4% chance that the buyer will choose not to have a garage in their new home.

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Answer: D

Step-by-step explanation:

Counting from 4 to -4 is 8 units.

Answer:

the formula used gives surface area instead of volume

Answer:

- 4

Step-by-step explanation:

Step 1:

- 6 = 6 + 3u    Equation

Step 2:

- 12 = 3u     Subtract 6 on both sides

Step 3:

- 12 ÷ 3   Divide

Answer:

x = - 4

Hope This Helps :)

Answer:

18 is the answerrrrr ???

Answer:

10.174

Step-by-step explanation:

Round up to the nearest tenth: 10.2

Round up to the nearest hundredth: 10.17

Round up to the nearest thousandth: 10.174

I hope this helps!

Answer:

3.15 for 10 is the better deal

Step-by-step explanation:

This is because $3.15 for 10 apples is worth 32 cents per apple. On the other hand, $4.10 for 11 apples is worth 37 cents per apple. And even though you're getting more apples it is costing you more per apple.

450 miles

Explanation

Step 1

Let

Step 2

how many times the distnce (E-M) is the distance(E-S)

so, the distance is

I hope this helps you

Answer: f(x+3), f(x+2), f(x), f(x-1/2), f(x-4), f(x-7)

Step-by-step explanation:

For y=f(x-a), the vertex is shifted a units to the right.

So, to order from left to right, we need to order them so that the value of a increases from the least to the most.

Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

Answer:

-3/2

Step-by-step explanation:

Given the funtion

(2x+3)² - 6x+9 = 0

(2x+3)² = 6x + 9

Expand

4x²+12x+9 = 6x + 9

4x²+12x - 6x = 0

4x²+6x = 0

4x² = -6x

4x = -6

x = -6/4

x = -3/2

Hence the value of x is -3/2