An amusement park charges an admission fee of 40 dollars for each person.
Let C be the cost (in dollars) of the admission for P people.
Write an equation relating C to P. Then use this equation to find the cost of admission for 19 people

Answer:

x=(0,8)

y=(15,0)

Step-by-step explanation:

The meters of tape left in the roll will be equal to 1/5 meters.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the information given in the question,

The total length of Tape = 5 m

Total number of pieces = 6

Length of each piece = 4/5 m

Then, the total length of the pieces will be,

6 × 4/5

= 24/5

Then, the amount of tape left in the roll will be,

= 5 - 24/5

= (25 - 24)/5

= 1/5

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Answer:

18

Step-by-step explanation:

1. Create the ratio 12:9

The first number in the ratio is where the length of the shadow will go. The second number is where the length of the building will go.

2. Subtract 21 by 12 to find out how much we have to add to 9. (21-12=9)

3. Add 9 to 9. (18)

We now have 21:18.

Add up the times spent

Answer:

approximately 55.43 or [tex]4\sqrt{192}[/tex]

Step-by-step explanation:

1) draw line down middle of said triangle and split it in half

2) since the area of the triangle is 1/2 b * h we can solve

3) we know that the base is 8 (16 split in 1/2)

4) use the Pythagorean theorem (a^2 +b^2 = c^2) to solve for the height

5) a= 8 b= ? c= 16

6) 16^2=256 8^2= 64  256-64=b^2

7) b=[tex]\sqrt{192}[/tex]

8) [tex]\frac{1}{2} *\sqrt{192} *8= 4\sqrt{192}[/tex] or approximately 55.43

You can check by substituting the numbers back into the Pythagorean theorem and see if they match up

Answer:

1/4 or or 0.25

1Step-by-step explanation:

just do 2.75 divided by 11 and you get your answer

At rate 0.25 inch per hour the candle burn.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

A 2 3/4​ inch candle burns down in 11 hours.

Now,

Since, A 2 3/4​ inch candle burns down in 11 hours.

Hence, The rate in which the candle burn, in inches per hour is;

= [tex]2 \frac{3}{4}[/tex] ÷ [tex]11[/tex]

= 11/4 ÷ 11

= 11/4 x 1/11

= 1/4 inches per hour.

Thus, At rate 0.25 inch per hour the candle burn.

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Answer:

a=25 b=100 c=17 d=68

Step-by-step explanation:

the test said so

Answer:

profits will increase so with that being said the supply of them dropped if demand increased getting bikes will be harder for competing business in the area and so therefore if you have 200 bikes and others have 50 bikes your gonna make way more profit and for the people with 50 bikes they will gain and lose profits because when they run out of bikes they have to buy more and they are more expensive because of the demand on them

Step-by-step explanation:

The explanation regarding the change of price that impact the profits should be explained below.

The profit should rise when the supply should fall. In the case when I have 200 bikes while the other should have 50 bikes so here I make more profit however the other people will gain but the profit should be lost since the bikes should be out of the stock and at the same time they need to buy more that should be more expensive due to the demand.

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Answer: h(x)=x³+5x²+8x-16

Step-by-step explanation:

In this problem, we are given f(x) and g(x). The problem asks to find h(x)=f(x)+g(x). Since we are given f(x) and g(x), we can directly add them together.

h(x)=x²-9+x³+4x²+8x-7           [combine like terms]

h(x)=x³+5x²+8x-16

Now, we know that h(x)=x³+5x²+8x-16 after we have combined like terms.

total time taken = 40 min

let x be the total length/ distance of the journey.

speed(v) = distance/ time

100= (1/2 x)/ time ---1

60= (1/2 x)/ time ---2

add 1 and 2

160= x/40

where 40 is the total time taken

44.44m/s= x/ 2400s (i converted the speed and time)

x = 106,656 metres = 106.656km

the total length is 106.656 km.

Let's assume the total length of the journey is "x" km. Since the journey took 40 minutes to complete, we first need to convert this time to hours, which is [tex]40/60 = 2/3 h[/tex] hours.

According to the information given, the first half of the journey was traveled at an average speed of 100 km/h, which means the distance covered during this time is (1/2)x km. The time taken for this is given by [tex](1/2)x / 100 = x/200[/tex] hours.

Similarly, the second half of the journey was traveled at an average speed of 60 km/h, which means the distance covered during this time is (1/2)x km.

The time taken for this is given by [tex](1/2)x / 60 = x/120[/tex]hours. Now, we can add the times taken for both halves, which gives us [tex]x/200 + x/120[/tex]hours [tex]= 2/3[/tex]hours. By solving this equation, we arrive at [tex]x = 240 km.[/tex]

Therefore, the total length of the journey is 240 km.

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Answer:

$143,000

Step-by-step explanation:

Newman consulting company maintains its record on its cash basis

The first step is to calculate the revenue

$420,000+($60,000-$52,000)

= $420,000+$8,000

= $428,000

The expenses can be can be calculated as follows

Utilities expenses = $35,000-($6,000-$4,000)

= $35,000-$2,000

= $33,000

Advertising expenses= $12,000

Salaries expenses= $240,000

Total expenses= $240,000+$12,000+$33,000

= $285,000

Therefore the accural net income for the year can be calculated as follows

= revenue - expenses

= $428,000-$285,000

= $143,000

Hence the accrual net income for the year is $143,000

Answer:

See below. Explanation: Remember that slope intercept form is y=mx+b where m is slope and b is the y intercept.

Answer:

2/3

Step-by-step explanation:

multipy (X+2) by 7 the you multiply (2x-4) by 6 I.e

-7×X- (-7×2)+4x=6×2x-6×4

-7x-14+4x=12x-24

collect like terms

-7x+4x-12x=-24+14

-15x=10

divide both side by -15, so that X can stand alone

-15x/-15=-10/-15

-15 cancels -15, minus cancels minus

X=10/15

X=2/3

Answer: x*(x-5)

Step-by-step explanation:

Plexiglass is a cuboid

which means that the area would be l*w

in the question it states that the width is 5 cm shorter than the length

since we dont know the values

we represent them as x

so using l*w

we write x*(x-5)

Your answer is 1.54737637e11

Answer:

154737637418

Step-by-step explanation:

Answer:

alternate exterior angles converse

ES LA B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

The first example is adding fractions. The last is Subtraction.

Step-by-step explanation:

The first step is finding the LCD or Least Common Denominator.  In this case, we multiply both denominators by each other 2 x 3 = 6 before we proceed.

Secondly, we multiply the bottom denominator on the right (which is three) and multiply it by numerator and denominator on the left.

[tex]\frac{1}{2}[/tex] x 3= Multiply the numerator and denominator and you should get this

[tex]\frac{3}{6}[/tex]

Next multiply [tex]\frac{1}{3}[/tex] by 2. You should get [tex]\frac{2}{6}[/tex]

The final step is just to add the numbers on the very top. You should get [tex]\frac{5}{6}[/tex]

*Also note, pay attention to your question. Some may require decimal form or simplification.

1. [tex]\frac{1}{2} + \frac{1}{3} = \frac{5}{6}[/tex]

2. [tex]\frac{3}{6}[/tex] +[tex]\frac{2}{6}[/tex] = [tex]\frac{5}{6}[/tex]

3. The answer is [tex]\frac{5}{6}[/tex]

_________________________________________

The next example is subtraction.

Find the LCD.

Next, start by multiplying [tex]\frac{3}{5}[/tex] by 3. Penultimately, multiply [tex]\frac{1}{3}[/tex] by 5. Finally, subtract 9-5 to get 4. The answer should be [tex]\frac{4}{15}[/tex]

1. [tex]\frac{3}{5} - \frac{1}{3}[/tex]

2. [tex]\frac{9}{15}[/tex] - [tex]\frac{5}{15}[/tex] = [tex]\frac{4}{15}[/tex]

Answer:

not sure ia may give wrong answer

9514 1404 393

Answer:

  165 miles

Step-by-step explanation:

miles = miles/gallon × gallons

  (55 mi/gal) × (3 gal) = 165 mil

The car will travel 165 miles on 3 gallons.

Answer:

3/16

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

79.3, 75.1, 78.2, 74.1, 73.9, 75.0, 77.6, 77.3, 73.8, 74.6, 75.5, 74.0, 74.7, 75.9, 72.9, 73.8, 74.2, 78.1, 75.4, 76.3, 75.3, 76.2, 74.9, 78.0, 75.1, 76.8

a) Calculate a point estimate of the mean pull-off force of all connectors in the population. State which estimator you used and why.

The mean can be used as a point estimate for the pull of force.

Using a calculator :

The mean(m) :

Σx /n = 1966/26

= 75.62 pounds

(b) Calculate a point estimate of the pull-off force value that separates the weakest 50% of the connectors in the population from the strongest 50%.

To obtain this, we calculate the median:

Median = 0.5(n + 1)th term

Median = 0.5(27)th term = 13.5

Take the 13th and 14th term:

(75.1 + 75.3) / 2 = 75.2 pounds

(c) Calculate point estimates of the population variance and the population standard deviation.

Using calculator ; the variance (s²) = 2.73815

The standard deviation (s) = √variance

s = √2.73815 = 1.655

(d) Calculate the standard error of the point estimate found in part (a). Interpret the standard error.

Standard Error = standard deviation / √n

Standard Error = 1.655 / √26

= 0.3245

(e) Calculate a point estimate of the proportion of all connectors in the population whose pull-off force is less than 73 pounds

Number of Proportions less than 73 pounds / number of samples

= 1 / 26

= 0.0385

Answer:

15x + 25y ≥ 400

x + 2y ≤ 20

x ≥ 0, y ≥ 0

Step-by-step explanation:

Here, we are modelling the total number of hours she can use in making images in a week and the total amount that can be earned in a week, considering the given constraints.

Number of small images in a week = x

Number of hrs in making images if it takes 1 hr to make 1 = 1*x = x

Number of large images in a week = y

Number of hrs in making large images if it takes 2 hrs to make 1 = 2*y = 2y

Given that she has up to 20 hrs to make the images, therefore, the inequality that models this situation would be:

x + 2y ≤ 20

This implies that, the hours spent altogether can be less than or equal to 20hrs

Amount for small images = $15

Amount in total for all images made in a week = $15*x = 15x

Amount for large images = $25

Amount in total for all images made in a week = $25*y = 25y

Given that she can earn AT LEAST $400 in a week, therefore, the inequality that models this situation would be:

15x + 25y ≥ 400

This implies that, the amount she wants to make in a week would be $400 or more.

The system of inequalities would be:

x + 2y ≤ 20

15x + 25y ≥ 400

x ≥ 0, y ≥ 0

Answer:

c.40

plz mark brainliest if helpful

Answer:

janelle is 2,015.75 ft above sea level the altimeter should read plus 2,015.75

2,015.75 ft is the Janelle's position relative to sea level while hiking and the altimeterread this position as 2,015.75.

hope this hep you

9514 1404 393

Answer:

  (a) 90°, 90°

  (b) 5, 1

  (c) 10°, 20°

  (d) 10°, 20°, 150°

Step-by-step explanation:

You need to consider ways in which each statement might not apply.

(a) An obtuse angle is greater than 90°. If both angles are 90°, then neither is obtuse.

  counterexample: m∠1 = 90°, m∠2 = 90°

__

(b) If the perimeter is 12, the sum of the side lengths must be 6. There are many ways to get two numbers that have a sum of 6. Here's one:

  counterexample: length = 5, width = 1

__

(c) All that is required is that the sum of angles be 30°. They don't have to be equal.

  counterexample: m∠ABC = 10°, m∠CBD = 20°

__

(d) We know the three angles of a triangle have a sum of 180°, but that does not require it to be an acute triangle. A triangle can also be right or obtuse.

  counterexample: m∠P = 10°, m∠Q = 20°, m∠R = 150°

Answer:

-37

Step-by-step explanation:

-3x/-3=x

3/-3=-1

-1-6=-7

x=-7

5(-7)=-35

-35-2=-37