Twice the difference of a number and two equals six use the variable Y for the unknown number

Jim did not buy any tickets (n_Jim = 0).

Larry bought 7 more tickets than Jim.

To determine the number of tickets Larry bought more than Jim, we need to find the values of n for Larry and Jim's ticket purchases.

For Larry:

Let's substitute C = $170 into the equation C = 24n + 2 and solve for n:

$170 = 24n + 2

Subtracting 2 from both sides:

$168 = 24n

Dividing both sides by 24:

n = 7

For Jim:

We can calculate the number of tickets Jim bought by subtracting 12 from Larry's number of tickets:

n_Jim = n_Larry - 12

n_Jim = 7 - 12

n_Jim = -5

Since we cannot have a negative number of tickets, we can conclude that Jim did not buy any tickets (n_Jim = 0).

To find the difference in the number of tickets bought, we subtract the number of tickets Jim bought from the number of tickets Larry bought:

n_difference = n_Larry - n_Jim

n_difference = 7 - 0

n_difference = 7

Therefore, Larry bought 7 more tickets than Jim.

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Question

The equation C=24n+2 represents the cost, C, in dollars, of buying n tickets to a play. J $170. How many more tickets did Larry buy than Jim? 12

Answer:

3 x 10 is 30 I hope that helps lol

Using the same-side interior angles theorem,

\(8x+30+6x+24=180 \\ \\ 14x+54=180 \\ \\ 14x=126 \\ \\ \boxed{x=9}\)

Using vertical angles,

\(6(9)+24=10y+2 \\ \\ 78=10y+2 \\ \\ 10y=76 \\ \\ \boxed{y=7.6}\)

The computation shows that:

G n M = Anael and Max

G u S = Acel, Action, Anael, Max, Carl, Dario, Catlin, Kai, and Barek.

From the information, ten students from a school appear in one or more subjects for an inter school quiz competition as shown in the table.

The subjects include general Knowledge Math Science.

Therefore, G represents the set of students appearing for General Knowledge, M represents the set of students appearing for Math, and S represents the set of students appearing for Science. The intersection is illustrated above.

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Answer:

37.5

Step-by-step explanation:

divide 15 by 2/5

Answer:

y=2x+24

Step-by-step explanation:

Hi there!

We are given that a line has a slope of 2 and passes through (-7, 10)

We want to write the equation of this line in slope-intercept form

Slope-intercept form is written as y=mx+b, where m is the slope and b is the y-intercept

As we are already given the slope, we can immediately substitute it in for m

So replace m with 2 in y=mx+b

y=2x + b

Now we need to find b

As the equation passes through the point (-7, 10), we can use its values to help us find the value of b

Substitute -7 as x and 10 as y

10 = 2(-7) + b

Multiply

10 = -14 + b

Add 14 to both sides

24 = b

Substitute 24 as b into the equation

y = 2x + 24

Hope this helps!

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The dimensions of the room are approximately 5.87 meters by 7.63 meters.

Let's assume the width of the room is "x" meters.

According to the problem, the length of the room is 1.3 times the width, so the length would be 1.3x meters.

The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the perimeter is given as 27 meters.

Perimeter = 2(length + width)

Substituting the values we know:

27 = 2(1.3x + x)

Simplifying:

27 = 2(2.3x)

27 = 4.6x

Dividing both sides by 4.6:

x = 27 / 4.6

x ≈ 5.87

The width of the room is approximately 5.87 meters.

To find the length, we can multiply the width by 1.3:

Length = 1.3 * 5.87 ≈ 7.63

The length of the room is approximately 7.63 meters.

Therefore, the dimensions of the room are approximately 5.87 meters by 7.63 meters.

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Answer:

20.32

Have a beautiful day!

Answer:

127

Step-by-step explanation:

Answer:

5+x=y

Step-by-step explanation:

If she has already knit 5 cm you will always have to factor that in. If x is the number of nights adding the number of nights she does 1 cm of knitting will give you the length she has knit so far (y). I hope this helped! Good luck

Answer:

y=5x

Step-by-step explanation:

i did the ixl

Answer:

\( z=\frac{44257-44111}{\frac{2438}{\sqrt{80}}}= 0.536\)

And if we use the normal standard table we got this:

\( P(z<0.536) =0.7040\)

Step-by-step explanation:

For this case we have the following info :

\(\mu = 44111\) represent the true mean

\(\sigma= \sqrt{5943844}= 2438\) represent the deviation

n= 80 represent the sample size

And we want to find the follwing probability:

\( P(\bar X< 44257)\)

For this case since the sample size is larger than 30 we can apply the central limit theorem and we can use the z score formula given by:

\( z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}\)

The distribution for the sample mean would be:

\(\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})\)

And if we find the z score for this case we got:

\( z=\frac{44257-44111}{\frac{2438}{\sqrt{80}}}= 0.536\)

And if we use the normal standard table we got this:

\( P(z<0.536) =0.7040\)

37.5w + 155.95 = 455.95; where w = 8; signifies the number of weeks required to babysit the business in order to purchase the gaming chair.

A mathematical formula that connects two expressions with the equals sign (=) expresses the equality of the two expressions. For instance, in English, an equation is any properly stated formula that consists of two expressions linked by the equals sign, whereas in French, an equation is described as containing one or more variables. To solve a variable equation, identify the values of the variables that cause the equality to hold true. The answer is known as the values of the variables that must satisfy the equality.

Equations can be categorized as identities or conditional equations.

w = (455.95-155.95)/(37.50)

=300/37.50

=8

So, number of weeks = 8

As a result, w = 8 and 37.5w + 155.95 = 455.95 is the solution.

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Answer:

324

Step-by-step explanation:

This is because when rounding you multiply 55 by 6 that is equal to 330 which is near 324. However if you want the answer spot on it would be 294

Answer:

324

Step-by-step explanation:

so you would times 53.5 by 5.5 and you would get 294.25 so i rounded up and the most logical  estimation there was is 324 pounds  

Answer:

6n+2

Step-by-step explanation:

Answer:

use the subtraction property of equality to subtract 3x from both sides of the equation

Step-by-step explanation:

y is on the left so move everything else to the right side

According to the Subtraction Property, both sides of an equation remain equal following a subtracting of the same amount from both sides of the equation

The first step in isolating y in the equation 3·x + 2·y = 4 is the option;

Reason:

The slope and intercept form of the straight line equation is the the equation in the form y = m·x + c

Where;

m = The slope of the equation

c = The y-intercept

The given equation is 3·x + 2·y = 4

To isolate y, the terms containing y, are placed on one side of the equation, while the other terms are placed on the other side as follows;

First step;  3·x + 2·y - 3·x = 4 - 3·x (Subtraction property of equality)

Second step; 2·y = 4 - 3·x

Third step; \(\dfrac{2 \cdot y}{2} = \dfrac{4 - 3 \cdot x}{2}\) →  y = 2 - 1.5·x (Division property of equality)

y = 2 - 1.5·x = -1.5·x - 2

y = -1.5·x - 2 Equation in slope and intercept form

Therefore, the first step is use the Subtraction Property of Equality to Subtract 3·x from both sides of the equation

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Answer:

2w=c 2 times each week so 2 times how many weeks

The solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

The similar symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors by applying mathematical algorithms, which have served as expressions of reality. For instance, the equal sign divides the number 12 or even the solution y + 6 = 12 into two separate variables many characters are on either side of this symbol can be calculated. Conflicting meanings for symbols are quite prevalent.

Part A:

Given:

To find an equation,

Where x is number of monthly minutes.

and y is total monthly of splint plan.

So, equation is:

\(\rightarrow \text{y} =\text{mx} +\text{b}\)

For the first case:

\(\rightarrow\bold{173 = 380x + b}\)

Second case:

\(\rightarrow\bold{249= 570x + b}\)

Solve for x:

\(\rightarrow{173 - 380\text{x}=249- 570\text{x}\)

\(\rightarrow{-207=-321\)

\(\rightarrow \text{x} =\dfrac{321}{207}\)

\(\rightarrow \text{x} =\dfrac{107}{69}\)

\(\rightarrow \text{x} \thickapprox1.55\)

For value of b

\(\rightarrow 173 = 380(1.55) + \text{b}\)

\(\rightarrow 173 - 589 = \text{b}\)

\(\rightarrow -416 = \text{b}\)

Part B:

\(\rightarrow \text{y} = 942(1.55) - 416\)

\(\rightarrow \text{y} = 1460.1 - 416\)

\(\rightarrow \text{y} \thickapprox1044\)

Therefore, the solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

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Answer: 162 million

Step-by-step explanation:

147.4 million= 147,400,00

Make a proportion:

147,400,000   -  91%

          x             - 100%

Hence,

\(\displaystyle\\x=\frac{147,400,000*100}{91} \\\\x=\frac{14,740,000,000}{91} \\\\x\approx162,000,000\\\\x=162 \ million\)

Answer:

87.5 miles

Step-by-step explanation:

Distance between points = 3 1/2 × 25 = 87.5 miles

Answer:

1000385620385.................

With the given equation, the value of m + k is equal to 656 as K is 648 and the value of is 8

We have been given the equation: x² - 4x - 9 = 0

For finding the root, we need to, x = 8² ± 4AC/2A

When we solve for the following equation, we get: x = -10, 26

now we have been given root (m + √K/2) = 26

= (m/2) + (√K/2) = 26

= √2m + √K = 26√2 ......(1)

= m - √K/√2 = -10

= √2m - √K = -10√2 ......(2)

From equation (1) and (2), we get:

2√2m = 16√2

m = 8

therefore, √K = 26√2 - √2m

√K = 18√2

K = 2 × 18² = 648

Now, m + K = 648 + 8 = 656

Therefore, with the given equation, the value of m + k is equal to 656 as K is 648 and the value of is 8

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Answer:

Step-by-step explanation:

Well, he completed 12 questions, so he has 18 left.

To get the solution, we are looking for, we need to point out what we know:  

We assume, that the number 30 is 100% - because it's the output value of the task.  

We assume, that x is the value we are looking for.  

If 30 is 100%, so we can write it down as 30=100%.  

We know, that x is 40% of the output value, so we can write it down as x=40%.  

Now we have two equations:

1) 30=100%

2) x=40%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

30/x=100%/40%

Now we just have to solve the equation.

30/x=100/40

(30/x)*x=(100/40)*x       - we multiply both sides of the equation by x

30=2.5*x       - we divide both sides of the equation by (2.5) to get x

30/2.5=x  

12=x  

x=12

now we have:  

40% of 30=12

Then, you need to subtract 12 from 30 to figure out what is left.

The equation of the function is found to be y = \(2^{2x+3}\).

What is a function?

A unique kind of relation called a function is one in which each input has precisely one output. In other words, the function produces exactly one value for each input value. The graphic above shows a relation rather than a function because one is mapped to two different values. The relation above would turn into a function, though, if one were instead mapped to a single value. Additionally, output values can be equal to input values.

The x-values are input into the function machine. The function machine then performs its operations and outputs the y-values. The function within can be any function.

y = 2⁽ᵃˣ⁺ᵇ)

x = - 1     y  = 2 = 2¹

=> ax + b = 1   =>  -a  + b = 1

=> b  -a  = 1

x = 0     y  = 8 = 2³

=> ax + b = 3   =>  0  + b = 3

=> b   =  3

b -a  = 1

=> 3  - a  = 1

=> a = 2

checking for others

x  = 1    y  = 32 = 2⁵

ax + b = 2(1)  +  3  = 5

x = 2    y = 128  = 2⁷

ax + b = 2(2) + 3 = 7

The equation is y = \(2^{2x+3}\)

Hence the equation of the function is found to be y = \(2^{2x+3}\).

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Answer:

he spent 2hours 50minutes snowboarding

the time he spent skiing and snowboarding minus the time he skied

5hours minus 2hours 10minutes

D.

Explanation

I saw this answer in a different question today.

Moreover, 1n + 0.25n = 1.25n

New price expression is 1.25n

Given that;

Cost of an item = n

Increased rate = 25%

Expression = n + 0.25n

Find;

New way of expression

Computation:

New price expression = n + 0.25n

New price expression = 1.25n

So, option 'D' is the correct answer to the following question.

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Answer: 375

Step-by-step explanation:

Ruling out each number:

6: In the first two rows, the 6's placement did not change but the clue did, meaning that it is talking about a different number. Otherwise, it would say it's in the right place twice or in the wrong place twice.

3 & 5: Since we know 6 is already ruled out, both 5 & 3 would have to be correct.

2 & 4 & 8: Is proven wrong in the 4th clue.

7: 7 would have to be in the middle since the second clue says it's in the wrong place. If it was 1, it would say it's in the right space.

1: Is proven wrong after 7 is proven true.

Figuring out placement:

5: For the first clue, it says that it's in the correct place meaning that 5 is the last digit.

3: For both of the times 3 appears, it is in the wrong spot, revealing that it's the first digit.

7: In the second clue, it could either be 1 or 7. However, since 3 took the first spot and 5 took the last spot, 7 would have to be in the middle since the clue says it's in the wrong place. If it was 1, it would say it's in the right space.

After answering the presented question, we can conclude that As a radius result, a titanium sphere with a radius of 11 cm would weigh roughly 25.1 kg (rounded to 1 decimal place).

In more modern parlance, the length of a circle or sphere is the same as its radius in classical geometry, which is one of the line segments from its centre to its circumference. The term was derived from the Latin word radius, which also refers to the spokes of a waggon wheel. The radius of a circle is the distance between its centre and any point on its periphery. It is usually denoted by "R" or "r." A radius is a line segment with one endpoint in the centre and one on the circle's circumference. The radius of a circle matches its diameter. The diameter of a circle is the segment that passes through its centre and has ends on the circle.

The formula for the volume of a sphere of radius "r" is:

V = (4/3)πr³

Substituting the specified radius value (r = 11 cm), we get:

V = (4/3)π(11)³ \sV = 5575.279 cm³

Now we must compute the weight of the titanium sphere, which can be found by multiplying its volume by its density:

Density = Volume Weight

Weight = 25121.811974 g Weight = 5575.279 cm3 4.506 g/cm3

When we divide 1000 by 1000 to convert grammes to kilogrammes, we get:

The weight is 25.121811974 kg.

As a result, a titanium sphere with a radius of 11 cm would weigh roughly 25.1 kg (rounded to 1 decimal place).

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Answer:

180

Step-by-step explanation:

let the first angle=x

second angle=x+7

third angle=2x+13

x+x+7+2x+13=180

Given:

Two coins are tossed.

To find:

1. P(H on first coin)?

2. P(H on second coin)?

3. List the paired outcomes for tossing two coins.

4. How many ways are there for two coins to land?

5. What is P(HH)?

Solution:

If a a coin is tossed, then we have to possible outcomes, i.e., heads (H) and tails (T).

It is given that two coins are tossed.

1. The probability of getting a heads on first coin is:

\(P(H \text{ on first coin})=\dfrac{1}{2}\)

2. The probability of getting a heads on second coin is:

\(P(H \text{ on second coin})=\dfrac{1}{2}\)

3. If two coins are tossed, then the total possible outcomes are:

\(\{HH,HT,TH,TT\}\)

4. The number of ways for two coins to land is 4.

5. The probability of the heads on both tosses is:

\(P(HH)=\dfrac{1}{4}\)

Therefore, the required solution are:

1. \(P(H \text{ on first coin})=\dfrac{1}{2}\)

2. \(P(H \text{ on second coin})=\dfrac{1}{2}\)

3. List of possible outcomes is \(\{HH,HT,TH,TT\}\).

4. Number of possible outcomes is 4.

5. \(P(HH)=\dfrac{1}{4}\)