Natalie runs the bounce house at a fall festival. The bounce house can hold a maximum
of 1200 pounds at one time. She estimates that an adult weighs about 200 pounds and
children weigh about 80 pounds. For each session of bounce time, Natalie charges adults
$3 each and children $2 each. Natalie hopes to make at least $20 for each session.

To find out how many weeks it will take for John and Sarah to save the same amount of money, we must set their respective functions equal to each other and solve for x.

J = S

28 + 4x = x2 + 2x + 20

x2 + 2x - 4x - 8 = 0

x2 - 2x - 8 = 0

(x - 4)(x + 2) = 0

x = 4 or x = -2

Since x must be a positive value, the answer is that it will take John and Sarah 4 weeks to have the same amount of money saved.

Solving the equation a(c + b) = d for variable c, the variable c = (d/a) – b. (Option A)

Equation refers to a statement that represents an equality of values of two mathematical expressions and is indicated by the sign =.

In the given equation a(c + b) = d, in order to solve for the variable c, we must isolate the c variable at one side and collect other variables on the other side of the equation.

Given equation is:

a(c + b) = d

Divide both sides by a:

(1/a)*a(c + b) = d/a

c + b = d/a

Subtract b from both sides:

c + b – b = (d/a) - b

c = (d/a) – b

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Answer:

52[tex]a^{2}[/tex] + 26

Answer:

2

Step-by-step explanation:

one apple and another equals to 2.

Answer: 11

Step-by-step explanation: you put one and one together lol

Answer:A

Step-by-step explanation:

Inequality could the theme park use to determine the Total number of tickets that must be sold in a day to make a profit is 159.50a + 109c ≥5,490,000.

In mathematics, "inequality" refers to a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance.

Given, Tickets for an amusement park are available for adults (a) for $159.50 and for kids (c) for $109.00. The theme park requires daily revenue of at least $5.49 million to turn a profit.

total earning per day = 159.50a + 109c

this should be greater than (>) or at least equal to 5.49 million.

Therefore, The total number of tickets that must be sold in a day to generate a profit is 159.50a + 109c ≥ 5,490,000. Inequality might be used by the theme park to calculate this amount.

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The slope is -1/3.

The slope of a line, also known as the gradient is defined as the value of the steepness or the direction of a line in a coordinate plane. Slope can be calculated using different methods, given the equation of a line or the coordinates of points lying on the straight line.

Slope = m = tan θ = (y2 - y1)/(x2 - x1)

Slope  = 2−1 / 2−1

           = 4-0 / -2-10

           =  4 /-12

          = −1/3.

The slope is -1/3.

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The rank of population size from fastest to slowest growth is N = 1250, N = 1500, N = 1000, N = 750, N = 500, and N = 250.

The population growth rate is the measure that helps to determine how much the population size changes over time. The population growth rate shows either logistic growth or exponential growth. The formula for logistic population growth is given by [tex]\frac{dN}{dt}=r_{\text{max}}N\left(\frac{K-N}{N}\right)[/tex]. Here, N is the population size, t is time, r (max) is the maximum rate of increase, and K is the carrying capacity.

The one that grows fast will have a large population size, and the one that grows slowly will have a small population size. To rank the population size, arrange the given population size from the largest to the smallest. As a result, we get,

Fastest growth rate N=1250, N=1500 , N=1000, N= 750, N= 500, N= 250 Slowest growth rate

The complete question is -

Arrange the following population sizes in the order of decreasing growth rate. Rank the population sizes (N) from fastest to slowest growth. If two population sizes have the same growth, overlap them.

N = 1250, N = 1500, N = 1000, N = 750, N = 500, N = 250

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Answer:

7/10

Step-by-step explanation:

30 : 5 = 6 to Sali

10 : 100 = x : 30

x = 30 * 10 / 100

x = 3 * 1 = 3 to Jane

30 - (6+3) = 30 - 9 = 21

21/30

(21 : 3)/(30:3)

7/10

The numeric values of the function are given as follows:

An appropriate domain for the situation is of:

{x ∈ N | x ≥ 0.}

The function in this problem is defined as follows:

f(x) = 6x - 70.

In which the variables are given as follows:

Hence when x = -2, the numeric value is given as follows:

f(-2) = 6(-2) - 70 = -82.

This point is outside of the domain, as the number of shirts cannot be negative, hence an appropriate domain for the function is of:

{x ∈ N | x ≥ 0.}

As the number of shirts is also a countable amount.

When x = 12, the numeric value is given as follows:

f(12) = 6(12) - 70 = 72 - 70 = 2.

When x = 17.5, the numeric value is given as follows:

f(17.5) = 6(17.5) - 70 = 35.

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Answer:

y= -2x -1

Step-by-step explanation:

m= (5-7)/(-3- -4) = -2/1 = -2

y-intercept = -1

y= -2x -1

We can expect to find 185 defective fuses each day.

The correct answer is c) 185.

At first we have to find the expected number of defective fuses each day, we can use the formula for the expected value of a binomial distribution:

Expected Value (μ) = n * p

where:

n = number of trials (in this case, the number of fuses produced each day) = 500

p = probability of success (in this case, the probability that a fuse is defective) = 37/100 = 0.37

Expected Value (μ) = 500 * 0.37 = 185

So, we can expect to find 185 defective fuses each day.

The correct answer is c) 185.

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Answer:

23°F

Step-by-step explanation:

because its from a negative temp to a positive the inc is positive and -16-+7 is 16+7 = 23

The mystery number by Sonya is 55

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

m = 4f + 7

Where

f = favorite number = 12

So, we have

m = 4 * 12 + 7

Evaluate the products

This gives

m = 48 + 7

Evaluate the sum

m = 55

Hence, the number is 55

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The correct measure of the third angle in the triangle as we can see is 40 degrees.

We know that a right angle triangle is one in which one of the angles of the triangle is 90 degrees. If we know that one of the angles of the triangle has been given as 90 degrees, it then follows that the other two angles would have to be complementary.

Let us remind ourselves here and now that the angles that we say that they are complementary are the angles that do add up to about an angle of ninety degrees.

Having said this, we can see that the third angle is the angle A measures 90 degrees and angle B measures 50 degrees, it then follows that the third angle must have to measure 40 degrees. This would now give the correct balance of all the angles in the triangle.

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Missing parts;

Which statement can be concluded using the true statements shown? If two angles in a triangle measure 90° and x degrees, then the third angle In triangle ABC, angle A measures 90 degrees and angle B measures 50°. A.Angle C must measure 50 degrees B.Angle C must measure 40 degrees C.Angle C must measure (90 - 40) degrees D.Angle C must measure (90 - 30) degrees

Answer:

Angle C must measure 40 degrees.

Step-by-step explanation:

took it

Answer: A. yes, closed and lines are straight B. No, curved lines C. no, curved lines D. yes, closed have lines are straight E. yes, closed have lines are straight  E. yes, closed and lines are straight F. No, curved lines G. yes, closed and lines are straight H. yes, closed and lines are straight

Step-by-step explanation:

Answer:98.3333333333 (98)

The number 590 is called the numerator or dividend, and the number 6 is called the denominator or divisor.

The quotient of 590 and 6, the ratio of 590 and 6, as well as the fraction of 590 and 6 all mean (almost) the same:

590 divided by 6, often written as 590/6. The answer is actually 98 but if I am wrong sorry.

Its linear speed would be 1637.75  miles/hour

Vt =  435,49 Km/min

Vt  =  26129 Km/hour

Vt = 16630, 35  miles/hour

The distance from the earth center up to the satellite position is:

Earth radius  + distance above the earth  

radius of satellite  6400 + 1250   =  7650 Km

linear speed = Vt  = 2π*r/T

where

r is the radius of the satellite and T period  =  110 min

Then

Vt  =  6,28* 7650 / 110

Vt = 4804/110

Vt  =  43,674.54 Km/min

To get it in Km/h we must multiply by 60

Vt  =  26204m/hour

And finally, to get it in miles per hour we divide it by 16

Vt = 1637.75  miles/hour

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Answer:

A

Step-by-step explanation:

3 - (-1.5)
when you open the backet it will be 3 - - 1.5
minus and minus makes plus
therefore it will be 3+1.5
so the answer is 4.5

The smallest possible value of c is 1 in this case.

If the integer a, b and c are in arithmetic progression.

Then we can write,

b = (a+c)/2

If the integer a, b and c are in geometric progression,

Then, we can write,

b = √(ac)

Now, we can write,

a+b = 2√(ac)

Squaring both sides,

a²+c²+2ac = 4ac

(a-c)² = 0

So,

a = c.

If a = c.

Then,

b = (a+a)/2

b = a

So, a = b = c.

Smallest possible positive integer is 1.

So, the smallest possible value of c is 1.

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Answer:

Step-by-step explanation:

This impact shows the Eleanor and Billie will have some leftover brownies.

Lets see.

752/9

752=720+27+5

720/9=80, 27/9=3, and 5/9 has a Remainder of 5.

80+3=83 R 5

Answer: Yes

Step-by-step explanation:

If you were to be given the numbers for the corresponding coefficient you can solve this question just like as if they were real numbers. Even if you weren't given values, The coefficients unknown value is usually presumed as 1.

if a= 10 b=5 c=6 d=50 e=100 f=1

ab= 10:5

ac= 10:6

de= 50:100

ef= 100:1

if they were all one then they would just be 1:1

A researcher can draw conclusions about a particular group using inferential statistics, which is a "true" statement.

Inferential statistics use data from the experiment's sample of subjects to compare the different treatments and draw conclusions about the subject population as a whole.

Thus, a researcher can draw conclusions about a particular group using inferential statistics, which is a "true" statement.

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If 15 baseballs weigh 75 ounces, how many baseballs weigh 15 ounces?

1: 5 baseballs

2:10 baseballs

3: 3 baseballs

4:75 baseballs

75oz / 15 baseballs = 5 oz each

15 oz / 5 oz = 3 baseballs

The dimensions of the rectangular prism with the volume 33x cubic units are 11units, 9units, 4 units.

As given in the question,

Dimension of the rectangular prism in form of x are :

( x - 3 ) , ( x - 1 ) , and ( x - 8 )

Volume of the rectangular prism = 33x cubic units

⇒ ( x - 3 )( x - 1 )( x - 8 ) = 33x

⇒ ( x² -4x + 3 )( x - 8) = 33x

⇒ x³ -12x² + 35x -24 = 33x

⇒  x³ -12x² + 2x -24 = 0

⇒ x² ( x - 12 ) + 2 ( x - 12 ) = 0

⇒ ( x - 12 )( x² + 2 ) = 0

⇒ x = 12 or x = √ -2

Dimensions cannot be square root of negative.

⇒ x = 12

x - 3 = 9 units

x -1 = 11 units

x - 8 = 4 units

Therefore, the dimensions of the rectangular prism are 9 units, 11unitsm and 4 units.

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The number of 3-foot pieces of rope that Rami's grandfather could make would be = 23.8 pieces.

Rope is a thick cord that is material up of synthetic or organic materials that are interwoven together which can be used to support a structure.

The amount of money paid by Rami's grandfather for the rope = $67.83

The amount that the rope is sold per foot = $0.95/ft

To calculate the number of ft he bought;

= 67.83/0.95

= 71.4ft of rope

The number of 3-foot piece that he can cut

= 71.4/3

= 23.8 pieces.

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Answer:

Proportional

y is 0.4 times x

or

y is 2/5 times x

Both numbers are the same, I don't know which form the computer expects you to enter

Step-by-step explanation:

x and y are proportional since there is a linear relationship between y and x.

Let's verify this

When x = 5, y = 2. So y/x = 2/5 = 0.4
So y = 0.4x  

When x = 10, y = 4
So y/x = 4/10 = 2/5 = 0.4

Again y = 0.4x

So the answer is 0.4, same as 2/5

Answer:

Step-by-step explanation:

the x and y are proportional because the number increases by the same number each time. so y =2 and x=5 then on the next one, if it's proportional, y will = 4 and x will = 10. another way you can be sure that it is proportional is that every time you add the first number you can divide it and get the first number. for example if you divide 4 by 2 you will get 2. if you divide 10 by 2 you get 10. so in a short answer yes it is proportional

The percent of the ship's passengers held round-trip tickets is 50/100 = 50%.

Since the number of passengers on the ship is immaterial, let the number of passengers on the ship be 100 for convenience.  

Let x be the number of passengers that held round-trip tickets.  

Then, since 20 percent of the passengers held a round-trip ticket and took their cars aboard the ship, 0.20(100) = 20 passengers held round-trip tickets and took their cars aboard the ship.  

The remaining passengers with round-trip tickets did not take their cars aboard, and they represent 0.6x (that is, 60 percent of the passengers with round-trip tickets).  

Thus, 0.6x + 20 = x, from which it follows that 20 = 0.4x, and so x = 50.  

The percent of passengers with round-trip tickets is, then, 50/100 = 50%

A roundtrip flight is a flight itinerary that includes one flight to a vacation spot and some other flight lower back from that destination, which include flying from NYC to Paris after which Paris lowers back to NYC. The direction might also include layovers or connections, however, the beginning and endpoint are equal.

Ask the enterprise to alter the round-trip ticket for one-way usage. although airways exercise a varying degree of flexibility, many airlines will regulate a round-ride fare to permit one-manner use, though a few airlines might also charge a penalty or charge for this provider.

also known as “return air tickets,” round-journey tickets are flights from and again to the equal place beginning. A one-manner price tag, then again, simplest lets you to fly your destination, now not back from it.

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Answer:

v > -1

Step-by-step explanation:

v + 6 > 5

We want to work backwards to solve this, therefore we must subtract 6 on both sides to isolate v.

v + 6 > 5

  (- 6)  (-6)

v > -1