A group of friends wants to go to the amusement park. They have $123.75 to spend on parking and admission. Parking is $6.75, and tickets cost $19.50 per person, including tax. Which equation or tape diagram could be used to represent the context if xx represents the number of people who can go to the amusement park?

Step-by-step explanation:

let the number be x

1/2(x) - 1/6(x) =10 -1/8(x)................this is the equation

1/12(x) + 1/8(x)=10

5/24(x)=10

cross multiply

5x= 240

x=240/5

x=48

Answer:

B. {-21.-7. 7. 21)

Step-by-step explanation:

The set made up of odd numbers and multiples of 7 is given as;

       {-21.-7. 7. 21)

Multiples of 7 are usually those numbers where 7 is  factor.

Odd numbers are numbers that cannot be divide by 2.

 So, the most fitting answer is B.

Answer:

right

Step-by-step explanation:

a number line goer -3 -2 -1 0 and 0 isnt -1 or any (bigger? smaller?) negative number

Answer:

shade the bottom part.

Step-by-step explanation:

I'm pretty sure because if y is less than -x -1 , then everything on the bottom is less than that? Sorry if it is not correct.

Answer:

980

Step-by-step explanation:

if you do 70×14 would equal 980

Answer:

25% loss

Step-by-step explanation:

percentage loss is calculated as

% loss = \(\frac{loss}{cost}\) × 100%

here loss = $280 - $210 = $70 , then

% loss = \(\frac{70}{280}\) × 100% = 0.25 × 100% = 25%

10.989

because it snowed 3.56in on Monday, then 4.359 on Tuesday you would add them together. then you get 7.919 but then it snowed again on Wednesday and they got 3.07in now you would add 7.919 and 3.07 to get 10.989

hope this helps :)

The domain of the function is all real numbers and  range is  y ≥ -1.

Since the vertex is at (1,-1), the axis of symmetry is x = 1.

This means that the domain of the function is all real numbers.

To find the range, we need to consider the y-values of the graph. Since the vertex is the lowest point of the graph, the range must be all y-values greater than or equal to -1.

However, since the parabola opens upwards, there is no upper bound on the y-values.

Therefore, the range is given by y ≥ -1.

Hence, the domain of the function is all real numbers and  range is  y ≥ -1.

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Step-by-step explanation:

we need Pythagoras and a little bit of open mind.

Pythagoras is

c² = a² + b²

with c being the Hypotenuse (side opposite of the 90° angle), a and b being the legs.

the incenter means that it is the center point of the inscribed circle (being totally inside the triangle and touching every side at exactly one point).

that means that

GF = GB = GD

but GF we know : 22

so, GB = 22

now we can use the right-angled triangle ABG to find AG :

AG² = AB² + GB²

AG² = 32² + 22² = 1024 + 484 = 1508

AG = sqrt(1508) = sqrt(4×13×29) = 2×sqrt(377) =

= 38.83297568...

If a political candidate has asked you to conduct a poll to determine what percentage of people support him. if the candidate only wants a 5% margin of error at a 99.5% confidence level, The size of sample is needed is:  787.92.

Margin of error = 5% or 0.05

99.5% confidence interval = 2.807

p = 0.5 (default because no value was given)

Let n represent the sample size

5% error means z× SE =0.05

z (0.995)= 2.807

SE =√(.5×.5/n)

2.807 × √(.25/n)=0.05

Square both sides

7.879 × .25=0.0025×n

Move  the n across

1.9698 = 0.0025×n

n = 1.9698 / 0.0025

n= 787.92

Therefore we can conclude that 787.92 is the sample size that is needed.

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It takes 22.5 min to complete 1 mile

From the question, we have the following parameters that can be used in our computation:

Rate = 1/15mi in 1.5 min

using the above as a guide, we have the following:

Rate = 1/15mi per 1.5 min

Take the inverse

So, we have

Inverse rate = 1.5 min per 1/15mi

Evaluate the quotient

So, we have

Inverse rate = 22.5 min per mile

Hence, it takes 22.5 min to complete 1 mile

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Answer:

Yes, because 9 is in the hundreths place and 3 is in the tenths

Step-by-step explanation:

Answer:

Step-by-step explanation:

no because 0.3 is the same as 3/10 and 0.9 is the same as 9/10 wich is greater

Answer:

7040

Step-by-step explanation:

by finding 1mile in yards then multiply by 4

Answer:

30x+160

simple all you had to do is 10*3x and 8x2=16 and 10*16 and you will get 30x+160

Step-by-step explanation:

Answer:

30x + 80x^2

Step-by-step explanation:

10 (3x + 8x^2)

10 * 3x + 10 * 8x^2

30x + 80x^2

Answer:

To expand (x + 4)², we can use the formula for squaring a binomial: (a + b)² = a² + 2ab + b². In this case, a = x and b = 4.

So,

(x + 4)² = x² + 2(x)(4) + 4²

= x² + 8x + 16

Thus, (x+4)² when expanded and simplified gives x² + 8x + 16.

Step-by-step explanation:

Answer:

x²n+ 8x + 16

Step-by-step explanation:

(x + 4)²

= (x + 4)(x + 4)

each term in the second factor is multiplied by each term in the first factor, that is

x(x + 4) + 4(x + 4) ← distribute parenthesis

= x² + 4x + 4x + 16 ← collect like terms

= x² + 8x + 16

a) About two in three years, your return should fall inside the range of -32.3% to 53.7%

b) About one in twenty years, your return should fall outside the range of -96.4% to 117.8%

c) About one in two hundred years, your return should be greater than 87.7%.

a) About two in three years, your return should fall inside the range of (10.7% - 21.5%) to (10.7% + 21.5%) percent

.Lower Range = 10.7% - (21.5% * 2) = -32.3%

Upper Range = 10.7% + (21.5% * 2) = 53.7%

Hence, About two in three years, your return should fall inside the range of -32.3% to 53.7%

b) About one in twenty years, your return should fall outside the range of (10.7% - 43%) to (10.7% + 43%) percent.

Lower Range = 10.7% - (43% * 2.8) = -96.4%

Upper Range = 10.7% + (43% * 2.8) = 117.8%

Hence, About one in twenty years, your return should fall outside the range of -96.4% to 117.8%

c) About one in two hundred years, your return should be greater than 10.7% + (21.5% * 3.29) = 87.7%

Hence, About one in two hundred years, your return should be greater than 87.7%.

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Answer:15x3 /=divide 5 = 9

Step-by-step explanation:

because if you do 15x3 it is 45 then you divide it by 5 and get 9 as your answer!

Therefore, this dataset is an essential tool for medical students who want to make informed decisions about their future careers.

Answer: The MedGPA dataset in the Stat2Data package in R comprises 55 applicants' details who have applied for medical schools from a liberal arts college in the Midwest. The dataset consists of eleven variables, including the number of medical schools they applied to. This dataset provides comprehensive information that can be used to analyze and understand the various factors affecting students' application to medical school. The analysis of this dataset can help students make informed decisions about their future educational goals and career paths.

The Apps variable in the MedGPA dataset shows the number of medical schools each applicant has applied to. This variable can help analyze the factors affecting the number of medical schools applied to by different applicants. Other variables in the dataset, such as MCAT, GPA, and Sex, can be used to analyze the relationship between these factors and the number of medical schools applied to by the applicants. The analysis of this relationship can provide insights into the factors that influence students' decisions to apply to medical school and can be used to develop strategies to encourage more students to apply to medical school.

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Answer:

number 2 is linear number 4 is quadratic number 5 is constant

Answer:

5

Step-by-step explanation:

slopes of the parallel lines are always same this line has slope five

because equation in y intercept form is y=mx+b

where m is the slope.

so the slope of the new line will be five

Hence, 15 people out of 3 people can be chosen in 35 ways.

It is given that:

The total number of people in a race, n = 15

The number of finalists, r = 3.

Hence, the number of ways in which 3 people out of the 15 people can be finishers are:

\(^{15}C_{3} }\) = \(\frac{15!}{(15-3)!3!}\) = \(\frac{15!}{12!3!}\) = 35.

Hence, 15 people out of 3 people can be chosen in 35 ways.

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The answer of the given question based on perimeter of trapezoid the ratio will be  x:y is 8:5.

A trapezoid is quadrilateral with at least one pair of the parallel sides. The parallel sides are called  bases of  trapezoid, and  non-parallel sides are called legs.

Let's denote the lengths of the four sides of Trapezoid 1 as a, b, c, and d, and the lengths of the corresponding sides of Trapezoid 2 as m, n, p, and q, respectively. Then we have:

a + b + c + d = 240 (perimeter of Trapezoid 1)

m + n + p + q = 150 (perimeter of Trapezoid 2)

Since Trapezoid 1 and Trapezoid 2 are similar, we can write:

m = ax

n = bx

p = cy

q = dy

where x and y are the ratios of the longer and shorter bases of Trapezoid 1 to Trapezoid 2, respectively.

Substituting these expressions into the equations for the perimeters of the trapezoids, we get:

a(x+y) + b(x+y) + c(x+y) + d(x+y) = 240

(ax+bx+cy+dy) = 150

Simplifying these equations, we get:

(a+b+c+d)(x+y) = 240

(a+b+c+d)(x+y)(x/y) = 150

by Dividing  second equation by  first, we will get:

x/y = 240/150 = 8/5

Therefore, the ratio x:y is 8:5.

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Answer:

Total consumer spending is 160

Step-by-step explanation:

Here , we are interested in calculating the total consumer spending.

In a long run perfect competition market, price interest with MC and minimum point of AC

Hence , P = AC

this means that Q = 40,000/P = 40,000/150 = 266.67 which is approximately 267 potatoes will be consumed

The total consumer spending is thus 267 * 0.6 = 160

Answer:

x= 35/8 or 4 3/8

Step-by-step explanation:

8X=35

/8    /8

x= 35/8

x= 4 3/8

Given the following equation:

Let's determine the value of y = f(x) of the given table.

x solution f(x)

-1,000 0.6(-1,000)² - 2(-1000) - 6 601,994

-100 0.6(-100)² - 2(-100) - 6 6,194

-10 0.6(-10)² - 2(-10) - 6 74

0 0.6(0)² - 2(0) - 6 -6

10 0.6(10)² - 2(10) - 6 34

100 0.6(100)² - 2(100) - 6 5,794

1,000 0.6(1,000)² - 2(1000) - 6 597,994

Answer:

39.3

Step-by-step explanation:

81.6 - 3 = 78.6

78.6 ÷ 2 = 39.3

Answer: C= -2

Step-by-step explanation:

Answer:

C. -2

Step-by-step explanation:

5x + 2(x − 4) = 5x + x − 10

Subtract 5 from both sides,

5x + 2(x - 4) - 5x = 5x + x - 10 - 5x

Simplify,

2(x - 4) = x - 10

Distribute,

2x - 8 = x - 10

Add 8 to both sides,

2x - 8 + 8 = x - 10 + 8

Simplify,

2x = x - 2

Subtract x from both sides,

2x - x = x - 2 - x

Simplify,

x = -2

Answer:

its the first one and the third one

Step-by-step explanation:

Answer: 8 + 49 factored is 57

I hope this helps you

Answer:

57

Step-by-step explanation:

8

+ 49

57