Find the length of segment BC

The statement "Boson played fewer games than Jon" is true since he spent less money overall in the system of equations and the cost of each game is the same for all three people.

Let x be the number of games played by each person. Then we can write the following system of equations:

Jon's total cost = 5 + 3x

Mandy's total cost = 5 + 3x

Boson's total cost = 5 + 3x

Simplifying each equation gives:

Jon's additional cost = 3x

Mandy's additional cost = 3x

Boson's additional cost = 3x

Adding the cost of the ticket to each person's additional cost gives:

Jon's total cost = 20

Mandy's total cost = 29

Boson's total cost = 14

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The question is -

A ticket to a street festival costs $5. It costs an additional $3 for each game played. Jon spent $2o on his ticket and games. Mandy spent $29 on her ticket and games, and Boson spent $14 on his ticket and games. Given this information, which statement is true?

Yes ,it is reasonable to conclude that percent of income spent on housing for the sample of homeowners is less now than 5 years ago.

Sample size = 20

Condition to check it is reasonable to conclude percent of income spent on housing is less now than 5 years ago.

Compare the average percent of ,

Income spent on housing for sample of homeowners 5 years ago to Income spent on housing for same sample of homeowners now.

Calculating the mean percent of income spent on housing for the sample of homeowners 5 years ago,

(17+20+29+43+36+43+45+19+49+49+35+16+23+33+44+44+28+29+39+22)/20

= 33.15%

Calculating the mean percent of income spent on housing for the same sample of homeowners now,

=(10+39+37+27+12+41+24+26+28+26+32+21+12+40+42+22+19+35+12)/20 = 25.25%

It can be observed that the mean percent of income spent on housing for the sample of homeowners 5 years ago is higher .

Compare to mean percent of income spent on housing for the same sample of homeowners now.

Therefore, it is reasonable to conclude that percent of income spent on housing is less now than 5 years ago for sample of homeowners .

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The above question is incomplete, the complete question is:

The amount of income spent on housing is an important component of the cost of living. the total costs of housing for homeowners might include mortgage payments, property taxes, and utility costs (water, heat, electricity). an economist selected a sample of 20 homeowners in new En-gl-and and then calculated these total housing costs as a percent of monthly income, 5 years ago and now. the information is reported in the table. is it reasonable to conclude the percent is less now than 5 years ago?

Homeowner                      five years ago                          now

H-o-lt                                          17 %                                       10 %

Pi-e-rse                                        20                                        39

Me-re-ni-ck                                   29                                        37

La-n-oue                                      43                                         27

F-ag-an                                         36                                        12

Bo-bko                                         43                                        41

Ki-p-pert                                         45                                      24

Sa-n- Ro-man                                19                                        26

Kur-im-sky                                     49                                       28    

D-av-ison                                      49                                        26

Lo-zi-er                                         35 %                                     32 %              

Cie-sli-nski                                    16                                        32

Row-a-tti                                      23                                        21

Kop-pel                                       33                                       12

Ru-m-sey                                      44                                       40

Mc-Gin-nis                                   44                                        42

Pie-rce                                        28                                       22

Ro-ll                                            29                                        19

La-ng                                          39                                       35

Mil-ler                                         22                                        12  

Answer:16+(32 times 3)=112

Step-by-step explanation:

4 time 4 is 16 divide by two then multiply by two then add 4 times 8 times 3 together and you get 112 hope this is right.

Total snow which would Skylar have on her lawn after t hours of snow falling is, 14 inch.

Given that;

At the beginning of a snowstorm, Skylar had 8 inches of snow on her lawn.

And,. The snow then began to fall at a constant rate of 1.5 inches per hour.

Now, We know she started with 8 inches.

We also know that every hour an inch of snow falls.

Hence, Time is,

1.5 inch by 4 hours = 6 inches

Now, Add them together

8inch + 6inch = 14inch

Hence, Total snow which would Skylar have on her lawn after t hours of snow falling is, 14 inch.

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Answer:

Step-by-step explanation:

2(x+3)-3(2x-5)               distribute the 2 and -3

2x + 6 - 6x + 15            simplify

-4x +21

The answer of the given question based on probability is , option (A) 9/11.

Probability is  measure of  likelihood of  event occurring. It is number between 0 and 1, where 0 means that  event is impossible, and 1 means that  event is certain to occur. The probability of  event can be expressed as  fraction, a decimal, or a percentage. For example, if the probability of an event is 1/4, it means that there is a 25% chance of the event occurring.

The total number of hair clips in the box is:

Total number of hair clips = 15 (small) + 12 (medium) + 6 (large) = 33

The probability of selecting a small or medium hair clip is the sum of the probabilities of selecting a small hair clip and a medium hair clip:

P(small or medium) = P(small) + P(medium)

The probability of selecting a small hair clip is:

P(small) = number of small hair clips / total number of hair clips

= 15 / 33

The probability of selecting a medium hair clip is:

P(medium) = number of medium hair clips / total number of hair clips

= 12 / 33

Therefore, the probability of selecting a small or medium hair clip is:

P(small or medium) = P(small) + P(medium)

= 15/33 + 12/33

= 27/33

= 9/11

So the answer is (A) 9/11.

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Answer:

The median is A. 23

To find the median Re-arrange the numbers.

22, 22, 23, 26, 28

The middle number which is 23 is A Median.

The Range is A. 6

To find the Range We subtract the lowest frequency to the highest frequency.

Range = 28 - 22

= 6

The transformation of the graph f(x) = x² to the graph g(x) = -3(x+5)² + 12 involves a horizontal shift, a vertical stretch, and a vertical translation.

The graphs of f(x) = x² and g(x) = -3(x+5)² + 12 are the parabola.

The transformation of the graph is following as:

Firstly, the parabola has been shifted horizontally by 5 units to the left, which is reflected in the expression (x+5)².

Secondly, the parabola has been stretched vertically by a factor of -3, which is reflected in the coefficient in front of (x+5)².

Finally, the parabola has been raised up to 12 units. This means that the vertex of the parabola has been shifted upwards from the origin to the point (−5,12).

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Answer:

If the probability of landing on purple on a spinner is 3 out of 10, then we can expect to land on purple about 90 times if we spin it 300 times

Step-by-step explanation:

The measure of arc JML in the given circle is 233°.

By definition, the measure of an arc is equal to the measure of the central angle that intercepts it. A central angle forms when two rays have their origins at the center of the circle and it also serves as the vertex of the central angle. We can note from the diagram that

arc JL is formed by the endpoints of the central angle ∠JKL=127°.

Thus, the measure of arc JL is equal to the measure of the angle or

arc JL=127°.

To find arc JML, we can note from the diagram that is equal to the rest of the circle. We know that the measure of a complete circle is 360°, so we can subtract arc JL from it and we get:

arc JML=360°-arc JL

=360°-127°

=233°

Therefore, the measure of arc JML in the given circle is 233°.

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Answer:

Let's use the equation:

Total earnings = Base pay + Commission

Xavier's base pay is $150 per day, and his commission is x percent of his daily sales, which is $1250 in this case. Therefore, we can write the equation as:

$200 = $150 + (x/100) * $1250

Simplifying the equation:

$200 - $150 = (x/100) * $1250

$50 = (x/100) * $1250

Dividing both sides by 1250:

0.04 = x/100

Multiplying both sides by 100:

x = 4

Therefore, the commission percentage for Xavier on that day was 4%.

The equation to show that the plant grows 2 inches more than that of the first week is: n = c + 2

A simple equation is a mathematical problem which has just one variable whose value is to be determined. Some arithmetic operations can be applied on the given simple equation so as to determine the value of the variable.

Considering the given question, the tracking of the plant shows that;

in the first week, its growth = c inches.

in the second week, its growth = n inches.

Given a condition that the plant grows 2 inches more in the second week than that of the first week, we have;

n = (c +2) inches

Thus the required equation is: n = c + 2

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Answer:

Step-by-step explanation:

The question pertains to multiplying a percentage by a large population to predict the number of incidences. In this case, 0.1% of 5,200,000 is 5,200, meaning we would expect about 5,200 people to exhibit side effects.

The question asks about the expected number of people likely to exhibit side effects from a chemical compound, given a known rate of incidence. From the data provided, 0.1% of participants in trials showed side effects. If you want to extrapolate this rate to a larger population of 5,200,000 people, you would multiply the population by the side effect rate in decimal form (0.1% = 0.001).

Here's the step-by-step calculation:

Therefore, if the same rate of side effects continues, you would expect about 5,200 people in a population of 5,200,000 to exhibit similar side effects.

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Answer:

A = 36 cm²

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

here b = 9 and h = 8 , then

A = [tex]\frac{1}{2}[/tex] × 9 × 8 = 4.5 × 8 = 36 cm²

Answer:

12x+72

Step-by-step explanation:

have a good day :)

Answer:

B. To swim 200 meters, it takes Jana 120 seconds and Micah 104 seconds.

Answer:

B.

Step-by-step explanation:

because you just read everything and look at the table make sure each statement is fully correct in this case it is B

let's approach this, this way

we have a principal amount P, with a annual rate of 15%, that after 2 years it became £34,385, what's P?

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \pounds 34385\\ P=\textit{original amount deposited}\\ r=rate\to 15\%\to \frac{15}{100}\dotfill &0.15\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases}[/tex]

[tex]34385 = P\left(1+\frac{0.15}{1}\right)^{1\cdot 2} \implies 34385=P(1.15)^2 \\\\\\ \cfrac{34385}{(1.15)^2}=P\implies 26000=P[/tex]

after two years? well, we already know, is above, after one year? well is just 26000 + 15% of itself, so

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{15\% of 26000}}{\left( \cfrac{15}{100} \right)26000}\implies 3900~\hfill \underset{ \textit{after one year} }{\stackrel{ 26000~~ + ~~3900 }{29900}}[/tex]

Step-by-step explanation:

distance / rate = time

216 mi / 72 mi/hr = 3 hours

Answer: B

Step-by-step explanation:

Therefore, the image coordinates of the vertices of triangle N'M'O' are: N'(-11, -2), M'(-8, -1), O'(-11, -5) that is option D.

In mathematics, a coordinate is a numerical value that specifies the position of a point in a geometric space, relative to a reference frame or origin. Coordinates are commonly used to describe the position of points in two-dimensional (2D) or three-dimensional (3D) space. In 2D space, a point can be described by its x-coordinate and y-coordinate. The x-coordinate represents the horizontal distance of the point from the origin, while the y-coordinate represents the vertical distance of the point from the origin. Together, the x-coordinate and y-coordinate specify the position of the point in the 2D space. In 3D space, a point can be described by its x-coordinate, y-coordinate, and z-coordinate. The x-coordinate represents the horizontal distance of the point from the origin, the y-coordinate represents the vertical distance of the point from the origin, and the z-coordinate represents the distance of the point along the depth or height axis. Together, the x-coordinate, y-coordinate, and z-coordinate specify the position of the point in the 3D space.

Here,

To determine the image coordinates of N'M'O' after translating the preimage 7 units to the left, we need to subtract 7 from the x-coordinates of each point.

The coordinates of N', M', and O' are obtained by subtracting 7 from the x-coordinates of N, M, and O respectively:

N' = (-4 - 7, -2) = (-11, -2)

M' = (-1 - 7, -1) = (-8, -1)

O' = (-4 - 7, -5) = (-11, -5)

Therefore, the image coordinates of N'M'O' are ON'(-11, -2), M'(-8, -1), O' (-11,-5). Answer option (D) is correct.

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The set of data that represents the interquartile range and the maximum, in that order, is (80 - 70, 95), which simplifies to (10, 95).

Looking at the box plot, we can see that the box spans from approximately 65 to 85, with the median at around 75. To find the values for the interquartile range and maximum, we need to determine the exact values for Q1, Q3, and any outliers.

From the box plot, we can estimate that Q1 is around 70 and Q3 is around 80.

The median of the lower half of the data is the middle value between the smallest value and the median, which is approximately 68.

The median of the upper half of the data is the middle value between the median and the largest value, which is approximately 83.

To find the maximum value, we look for the highest data point that is not an outlier. From the box plot, we can see that there are no outliers, so the maximum value is the highest value in the data set, which is approximately 95.

Therefore, the set of data that represents the interquartile range and the maximum, in that order, is (80 - 70, 95), which simplifies to (10, 95).

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If the total ticket sales was $ 2630, the theater sold 178 children's tickets, 99 student tickets, and 89 adult tickets.

Let's represent the number of children as "C", the number of students as "S", and the number of adults as "A".

We know that:

A = 0.5C (there are half as many adults as students)

C + S + A = 363 (the total number of people attending)

5C + 7S + 12A = 2630 (the total ticket sales)

We can use the first equation to substitute for A in the second and third equations:

C + S + 0.5C = 363

1.5C + S = 363

5C + 7S + 12(0.5C) = 2630

5C + 7S + 6C = 2630

11C + 7S = 2630

Now we have two equations with two variables (1.5C + S = 363 and 11C + 7S = 2630). We can solve for one variable in terms of the other in the first equation for tickets:

S = 363 - 1.5C

Substitute this expression for S in the second equation:

11C + 7(363 - 1.5C) = 2630

Simplify and solve for C:

11C + 2541 - 10.5C = 2630

0.5C = 89

C = 178

Now we can substitute this value for C in the expression we found for S:

S = 363 - 1.5(178)

S = 99

And we can use the first equation we found to solve for A:

A = 0.5C

A = 0.5(178)

A = 89

Thus, the theater sold 178 children's tickets, 99 student tickets, and 89 adult tickets.

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Answer:

to solve this, first you need to write the equation -4x + 7 = 15, then you take 7 off both sides like this -4x + 7-7=15-7 -4x=8, after than you divide both sides by -4 like this -4x/-4=8/-4 x=-2 and theres you're anwser

Step-by-step explanation:

Answer:

-4x+7=15

collect like terms

-4x=15-7

-4x=8

divide both sides by the co-efficient of x

-4x/-4=8/-4

x= -2

ans

Answer: D

Step-by-step explanation:

y=-x+2   given

y=1/2x-4    1/2 is slope     -4 is y-intercept

set equal to each other

-x+2=1/2x-4    

-3/2x=-6

x=4

the only solution with x as 4 is D

you can plug 4 in for x to check and you do get -2 for both equations

The answer to the expression, 2 x ? = 41 is 20.5

What is the sum of 2 and 41?

To put it another way, what do you multiply by 2 to get 41?

If "x" is "what" in the line "2 times what equals 41?" then the equation to solve the problem is

2x/2 = 41/2

2x/2 is x and 41/2 is 20.5 which means our equation will look like this:

x = 20.5

So the answer to "2 times what equals 41?" is 20.5.

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Full Question:

Although part of your question is missing, you might be referring to this full question:

2 times what equals 41?

a³ is the volume of a cube where a is the side of the cube.

We have,

The formula that shows the dependence of volume V of a cube on the length a of its edge is:

V = a^3

Where "a" is the length of one edge of the cube.

For instance,

If the length of the edge of a cube is 3 cm, then the volume of the cube would be:

V = 3^3 = 27 cm³

Similarly, if the length of the edge of a cube is 4 cm, then the volume of the cube would be:

V = 4^3 = 64 cm³

Thus,

a³ is the volume of a cube where a is the side of the cube.

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Results:

A. An equivalent expression to represent the sale price of the item of p - 0.1p = 0.9p.

B. The different ways to be used to find the sale price of an item in Midland Electronics are:

(i) We can take the original price of the item and multiply it by 0.9, which is the percentage of the original price that is being paid after the 10% discount.

(ii) Or we can subtract the discount amount from the original price, where the discount amount is equal to 0.1 times the original price.

Both of these methods lead to the same sale price of the item.

We can write the expression by:

Simplify the expression p - 0.1p by factoring out the common factor of p:

p - 0.1p = p(1 - 0.1)

Simplifying further, we can see that 1 - 0.1 equals 0.9

Substitute the value back into the expression:

p - 0.1p = p(1 - 0.1)

= p(0.9) = 0.9p

Thus, an equivalent expression of p - 0.1p = 0.9p

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Therefore, the Knicks travel two times further when they play the Lakers compared to the Miami Heat.

Time is a fundamental concept used to describe the sequence of events and the duration between them. It is a continuous and irreversible flow of moments and intervals in which events occur in a chronological order. Time can be measured by various units, such as seconds, minutes, hours, days, weeks, months, and years, and is commonly divided into past, present, and future. Time is often perceived subjectively, with its perception varying depending on factors such as an individual's location, culture, and personal experience. The study of time is an essential part of various fields, including physics, philosophy, psychology, and sociology.

To find out how many times further the Knicks travel when they play the Lakers compared to the Miami Heat, we need to divide the larger distance (the distance between Madison Square Garden and the Staples Center) by the smaller distance (the distance between Madison Square Garden and the American Airlines Arena).

So, the calculation is:

[tex]2.8 x 10^3 miles / 1.4 x 10^3 miles = 2[/tex]

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The amount of money Morgan will have after 3 years in the savings account is $315.60.

The formula to calculate the amount of money in a savings account after a certain number of years with compound interest is

A = P(1 + r/n)^(nt)

Where:

A = the amount of money in the account after the specified time period

P = the principal amount (initial investment)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, Morgan invests $275 at an interest rate of 4% per year, compounded once a year, and keeps the money in the account for 3 years.

So, we can plug in the values into the formula

A = 275(1 + 0.04/1)³

A = 275(1 + 0.04)³

A = 275(1.04)³

A = $315.60

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