Molly has 10 pencils in her backpack. 4 of those pencils are red. What is the percent of pencils that are NOT red?

Answer:

x =2

Step-by-step explanation:

14x - 10 = 3(4 + x)

Distribute

14x -10 = 12 +3x

Subtract 3x from each side

14x -10 -3x = 12+3x-3x

11x -10 = 12

Add 10 to each side

11x -10+10 = 12+10

11x = 22

Divide each side by 11

11x/11 =22/11

x =2

Answer:

x = 2

Step-by-step explanation:

14x - 10 = 3(4 + x)

Distribute the 3 on the right side of the equation.

14x - 10 = 12 + 3x

Add 10 to both sides of the equation.

14x = 22 + 3x

Subtract 3x from both sides of the equation.

11x = 22

Divide both sides of the equation by 11.

x = 2

So we have found that x = 2.

x = 2 would be the solution to the equation.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer: Conditional frequencies enables users to get more specific information when analyzing a dataset.

Step-by-step explanation: Frequency refers to the count of occurrence of a particular variable.

Relative frequency is obtained by taking the ratio of the counts a particular variable and the total counts and of all available variables in the experiment or data.

Conditional Frequency allows us to input additional constraints to our frequency counts, especially in a two-way table. Enabling us to get more specific information by using conditional statements.

Answer:

No

Step-by-step explanation:

So lets do the first expression first

2(3x-6)

6x-6

So the first one is 6x-6

Now the second expression

2(3x)x-6

As you can see here, there's an extra x in this problem compared to the last problem, but lets still work it out

6x*x-6

So they are different.

If the extra x wasn't there then it would've worked.

Tell me if this helped

Answer:

( 1, 35 )

Step-by-step explanation:

y=mx+c

c= y-intercept ( where the graph line crosses the cross line)

c=0

mx = gradient ( rise/run, up/across )

mx = 175/5 ( you could have picked any point in the graph )

mx = 35

the m is useless now so we discard it

y= 35x+0

if x = 1

then y = 35(1)+0

y= 35

at the coordinate x=1 y is 35

The option that indicates an association between the categorical variables is the value of G is not similar to the value of H.

Categorical variables are also known as qualitative data. It is a variable that can only take on a fixed number of values. An example of categorical variables is gender. One can either be a male or a female.

More males would wear pants when compared with females. Thus, the value of G is not similar to the value of H.

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Answer:

x = 4, y = 3.

Step-by-step explanation:

2x - 2y = 2

2x + y = 11     Subtract:

-3y = -9

y = -9/-3

y = 3

Plug y = 3 in equation 1:

2x - 2(3) = 2

2x - 6 = 2

2x = 2 + 6 = 8

x = 4.

The description is expressed mathematically as follows: c/19k is the product of 19 and k divided by c.

A mathematical expression is a sentence that has at least two variables or integers and one mathematical action. In mathematics, it is possible to multiply, divide, add, or remove.

calculation

the ratio of c to the sum of 19 and k is equal to

c divided by (19 * k)

= c /19k.

The description is expressed mathematically as follows: c/19k is the product of 19 and k divided by c.

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The correct answer is k+3 ke-2.

To determine which formula is not equivalent to the other two, we can compare each formula step-by-step. Let's analyze each formula:

1. (-1k-3 k +3 k+ 4 ks4
2. k+3 ke-2
3. k-3 ks4

Starting with formula 1, we can see that it consists of three terms: -1k-3, k+3, and k+4ks4. Each term is separated by a space.

Moving on to formula 2, we have k+3ke-2. This formula also consists of three terms: k+3, k, and e-2. In this case, we have a variable (k) combined with two different exponents (3 and -2).

Finally, formula 3 is k-3ks4. It consists of two terms: k-3 and ks4. Again, each term is separated by a space.

Comparing the three formulas, we can see that formula 1 has three terms, while formulas 2 and 3 have two terms each. Additionally, formula 1 includes the term k+4ks4, which is not present in formulas 2 and 3.

Therefore, the formula that is not equivalent to the other two is k+3 ke-2.

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Answer:

-12

Step-by-step explanation:

I believe they multiply each term by -3/1

4/1 * -3/1 = -12/1 = -12

Answer:

The midpoint of Line Segment AB = (-0.5, 0)

Step-by-step explanation:

Given data:

Point A: (-2, 1)

Point B: (1, -1)

Use the midpoint formula:

\(\frac{x1 + x2}{2} ; \frac{y1 + y2}{2}\)

Solve:

-2 + 1  / 2    ;   1 + -1 / 2

-1/2      ;   0/2

Answer: (-0.5, 0)

hope this helps and is right! p.s. i really need brainliest :)

Step-by-step explanation:

A total of 96 dogs and cats were taken to a veterinarian's office last week. The ratio of dogs to cats was 3:5.

3x + 5x = 96

8x = 96

8x/8 = 98/8

x = 12

The ratio is 3 to 5 so:

dogs = 12 * 3 = 36

cats = 12 * 5 = 60

Answer: There are 36 dogs and 60 cats.

The variance of the total weight of flour sacks purchased is 36.

Since the moment generating function of a random variable uniquely determines its moments, we can use the moment generating function MW(t) to find the mean and variance of the weight of one sack of flour.

The first derivative of the moment generating function is:

MW'(t) = 6t/(1 - 3t)³

Setting t = 0, we get the mean:

MW'(0) = 6(0)/(1 - 3(0))³ = 0

So the mean weight of one sack of flour is zero.

The second derivative of the moment generating function is:

MW''(t) = 54t²/(1 - 3t)⁴ + 18/(1 - 3t)³

Setting t = 0, we get the second moment:

MW''(0) = 54(0)²/(1 - 3(0))⁴ + 18/(1 - 3(0))³ = 18

So the variance of the weight of one sack of flour is 18.

Now, let X and Y denote the weights of the first and second sacks of flour, respectively. Since the weights are independently distributed, the variance of the total weight of flour sacks purchased is the sum of the variances:

Var(X + Y) = Var(X) + Var(Y) = 18 + 18 = 36

Therefore, the variance of the total weight of flour sacks purchased is 36.

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Answer:

434

Step-by-step explanation:

Steps:

156.24 ÷ 36% = 156.24 ÷ 0.36 = 434

Answer:

D = 3 √5 units

Step-by-step explanation:

Here, we want to find the distance between these two points

to get this, we use the distance formula as follows

D = √(x2-x1)^2 + (y2-y1)^2

so we have for (3,-6) and (9,-3)

D = √(3-9)^2 + (-6 + 3)^2

D = √(36 + 9)

D = √(45)

D = 3√5 units

it's most likely c but i could be wrong

Answer:

28v + 16w - 32

Step-by-step explanation:

The simplified answer is 28v + 16w - 32.

The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.

When you multiply a value by a sum, the distributive property of multiplication over addition is used.

Given:

4(7v+4w-8)

According to distributive property, we have

ax( b+ c)= (a x b)+ ( a x c)

Now, 4(7v+4w-8)

= 4x 7v+ 4 x 4w - 4 x8

= 28v + 16w - 32

Hence, the simplified answer is 28v + 16w - 32.

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The nth roots of unity will be equally spaced around the unit circle, forming a regular polygon with n sides. These roots play an essential role in various mathematical areas, including complex analysis, number theory, and signal processing.

The nth root of unity refers to a complex number that, when raised to the power of n, equals 1. In other words, it is a solution to the equation z^n = 1, where z represents the complex number.

For any positive integer n, the nth root of unity can be represented using the polar form of complex numbers as:

z = cos(2πk/n) + i * sin(2πk/n)

where k is an integer ranging from 0 to n-1. In this form, cos denotes the cosine function, sin denotes the sine function, and i is the imaginary unit.

The values of the nth root of unity are equally spaced on the unit circle in the complex plane, forming regular polygons with n vertices. The principal nth root of unity, which corresponds to k = 0, lies on the positive real axis and is equal to 1.

By varying the value of k from 0 to n-1, you can obtain all n distinct nth roots of unity. For example, the cube roots of unity (n = 3) are:

z₁ = cos(2π * 0/3) + i * sin(2π * 0/3) = 1 + 0i (principal cube root)

z₂ = cos(2π * 1/3) + i * sin(2π * 1/3) ≈ -0.5 + 0.866i

z₃ = cos(2π * 2/3) + i * sin(2π * 2/3) ≈ -0.5 - 0.866i

Similarly, the fourth roots of unity (n = 4) are:

z₁ = cos(2π * 0/4) + i * sin(2π * 0/4) = 1 + 0i (principal fourth root)

z₂ = cos(2π * 1/4) + i * sin(2π * 1/4) ≈ 0 + 1i

z₃ = cos(2π * 2/4) + i * sin(2π * 2/4) = -1 + 0i

z₄ = cos(2π * 3/4) + i * sin(2π * 3/4) ≈ 0 - 1i

The nth roots of unity will typically create a regular polygon with n sides that is evenly spaced around the unit circle. Numerous branches of mathematics, such as complex analysis, number theory, and signal processing, all heavily rely on these roots.

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Answer:

4.018secs

Step-by-step explanation:

Given the height reached by the test rocket by the expression  

h(t) = -16t^2 +116t + 101 gives the

The rocket will reach the ground when h(t) = 0

Substitute h(t) = 0 into the expression

0 = -16t^2 +116t + 101

Multiply through by -1

16t^2 -116t - 101 = 0

Factorize using the general formula

t = 116±√(116)²-4(16)(-101)/4(16)

t = 116±√(13,456+6,464)/64

t = 116±√(19,920)/64

t = 116±141.138/64

t = 116+141.138/64

t = 257.138/64

t = 4.018secs

Hence it will take the rocket 4.018secs to reach the ground

Answer: 34/5

Step-by-step explanation:

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below

\((\stackrel{x_1}{3}~,~\stackrel{y_1}{15})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{35}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{35}-\stackrel{y1}{15}}}{\underset{\textit{\large run}} {\underset{x_2}{7}-\underset{x_1}{3}}} \implies \cfrac{ 20 }{ 4 } \implies 5\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{15}=\stackrel{m}{ 5}(x-\stackrel{x_1}{3}) \\\\\\ y-15=5x-15\implies {\Large \begin{array}{llll} y=5x \end{array}}\)

it helps to organize and categorize large amounts of information, making it more accessible and manageable. This organizational structure helps users to locate specific codes and information efficiently. indexing system True.

The National Codes index lists entries under one main term, which is usually a broad topic or subject area. Under each main term, there may be several subentries that provide more specific details or categories related to the main term. This type of indexing system allows users to quickly and easily find information related to a specific topic, without having to search through an entire document or database. Additionally, it helps to organize and categorize large amounts of information, making it more accessible and manageable.

In the index of the National Codes, entries are listed under one main term to ensure easy navigation and understanding of the content. This organizational structure helps users to locate specific codes and information efficiently.

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Two crucial tasks inherent in the initial stage of group therapy are orientation and establishing group norms.Ambiguity and lack of a structured approach in groups often lead to confusion, inefficiency, and potential challenges.

Orientation involves providing essential information to group members about the purpose, goals, and guidelines of the therapy group.

It helps individuals understand what to expect, builds trust, and creates a sense of safety and predictability within the group. Orientation may include discussing confidentiality, group rules, expectations, and addressing any questions or concerns.

Establishing group norms involves collaboratively developing shared guidelines and expectations that govern the behavior and interactions within the group. This process allows group members to contribute to the creation of a supportive and respectful group climate. Group norms help set boundaries, encourage open communication, and foster a sense of cohesion among members.

Without clear structure and guidance, group members may struggle to understand their roles, goals, or the process of the group therapy. Ambiguity can hinder progress, create frustration, and impede meaningful communication.

Lack of structure may also result in difficulty managing conflicts, decision-making, or time management within the group. It can lead to unequal participation, power struggles, and a lack of accountability.

To address these issues, it is important for group therapy to provide a clear framework, establish ground rules, and facilitate structured activities or interventions that promote clarity, engagement, and progress. A structured approach helps create a supportive environment, enhances group dynamics, and maximizes the therapeutic benefits of the group process.

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A solution of \(y" + 2y' + 2y = 3f1(t) + f2(t)\) using the superposition principle is given by: \(y = ((3-f2(t))/8) y1 + ((1+3f1(t))/8) y2\)

It be found by taking a linear combination of the two given solutions y1 and y2. Let c1 and c2 be constants, then the solution y can be expressed as y = c1y1 + c2y2.  To find c1 and c2, we differentiate y twice and substitute it into the given differential equation:

\(y' = c1(2cos(3t) - 6tsin(3t)) + c2(-6e^-{t sin(6t)} - e^{-t cos(6t)})\)

\(y" = c1(-18sin(3t) - 36tcos(3t)) + c2(-36e^{-t sin(6t)} + 12e^{-t cos(6t)})\)

Substituting these expressions for y and its derivatives into the differential equation and simplifying, we get: \((3c1 + c2) f1(t) + (c1 + 3c2) f2(t) = 0\)

Since this must hold for all t, we can equate the coefficients of f1(t) and f2(t) to zero to get the system of equations: \(3c1 + c2 = 3, c1 + 3c2 = 1\)

Solving for c1 and c2, we get \(c1 = (3-f2(t))/8\) and \(c2 = (1+3f1(t))/8.\)

Note that this solution is valid only if f1(t) and f2(t) are continuous and differentiable.

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none of the provided options (a, b, c, d) appear to be accurate or close to the minimum space required.

To determine the minimum space required for a male restroom design with the given plumbing requirements, we need to consider the minimum space required for water closets and lavatories.

The minimum space required for water closets is typically around 30-36 inches per unit, and for lavatories, it is around 24-30 inches per unit.

Since the design requires a minimum of 12 water closets and 13 lavatories, we can estimate the minimum space required as follows:

Minimum space required for water closets = 12 water closets * 30 inches = 360 inches

Minimum space required for lavatories = 13 lavatories * 24 inches = 312 inches

Adding these two values together, we get a total minimum space requirement of 672 inches.

Among the given options, the closest value to 672 inches is option d) 249. However, this value seems significantly lower than the expected minimum space requirement.

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Answer:B

Step-by-step explanation:

5/8 of 48 is 30.

1/3 of 48 is 16.

So 30 people are spinning and 16 are lifting weights.

48-30-16=2

There are two people left out of 48.

2/48 reduces to 1/24.

When we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

To subtract 3 from 22, we can perform the subtraction operation as follows:

22

3

19

We align the numbers vertically and subtract each corresponding place value from right to left. In this case, subtracting 3 from 2 requires borrowing or regrouping. However, since 2 is greater than 3, we can directly subtract 3 from 2 and write the difference, which is 1, in the one's place.

Therefore, the simplified answer is 19.

The subtraction process involves taking away or removing a certain quantity from another. In this case, we subtracted 3 from 22, resulting in a difference of 19. The process of simplifying the answer is simply expressing the result in its most concise and reduced form.

By subtracting 3 from 22, we removed 3 units from the original value of 22, leaving us with 19. This can be visualized as taking away three objects from a group of 22 objects, resulting in a remaining count of 19.

In summary, when we subtract 3 from 22, the simplified answer is 19. The subtraction operation involves removing or deducting one value from another, resulting in the difference between the two quantities.

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SOLUTION

First let us get the monthly rate

This can be gotten using the formula

Where P is principal,

r is the percent interet rate per year, so to get monthly interest is divide by 12

i is the monthly interet.

Using column 1 to determine the rate, we have

Now, the interest rate r = 6%

The starting principal becomes

Therfore, the answer is 150000 dollars

Answer:

$147

Step-by-step explanation:

$2.00+$10.00+$30.00+$100.00+$5.00

=$147

El dinero total que tenía será de $ 147.00

Dado lo siguiente

La cantidad tenía inicialmente = $ 2.00

La cantidad dada por mamá = $ 10.00

La cantidad recibida de papá = $ 30.00

La cantidad recibida del tío y la tía = $ 100.00

Si tuviera otros $ 5,00

La cantidad total que tenía será la suma de todo el dinero que tenía y los recaudados como se muestra:

Dinero total que tenía = $ 2,00 + $ 10,00 + $ 30,00 + $ 100,00 + $ 5,00

Dinero total que tenía = $ 147.00

Por lo tanto, el dinero total que tenía será de $ 147.00.

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3(8) + 9(7)

24 + 63

87

\(\huge\text{Hey there!}\)

\(\mathtt{3z + 9w}\\\mathtt{= 3(8) + 9(7)}\\\mathtt{= 24 + 63}\\\mathtt{= 87}\)

\(\huge\text{Therefore your answer should be:}\\\\\huge\boxed{\mathtt{87}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

\( \angle DEC \)

Step-by-step explanation:

\( \red{\bold {\angle DEC}} \) is supplementary to\( \angle DEA \)