The total cost for my brother's bowling party was $140 It cost $50 to reserve a bowling lane plus the cost of renting shoes for the 9 people attending.
How much is the cost of renting shoes per person?

To find the dimensions of the rectangular floor, we need to use the formula for the area of a rectangle, which is length x width.  Therefore, the dimensions of the rectangular floor are 3 meters by 4.5 meters.

According to the problem, one side (which we'll call the length) is 1.5 meters longer than the other (the width), so the length is (x + 1.5).
We know that the area of the rectangle is 13.5 square meters, so we can set up the equation:
13.5 = x(x + 1.5)
Simplifying this equation gives us:
13.5 = x^2 + 1.5x
Rearranging the terms and setting the equation equal to zero gives us a quadratic equation:
x^2 + 1.5x - 13.5 = 0
We can solve for x using the quadratic formula:
x = (-1.5 ± sqrt(1.5^2 - 4(1)(-13.5))) / 2(1)
x = (-1.5 ± sqrt(223.5)) / 2
x ≈ 2.25 or x ≈ -6
Since the dimensions of the floor can't be negative, we know that x ≈ 2.25 meters.
Now we can find the length by adding 1.5 to x:
length ≈ 3.75 meters
And the width is simply x:
width ≈ 2.25 meters
So the dimensions of the rectangular floor are approximately 3.75 meters by 2.25 meters.
To calculate the dimensions of the rectangular floor with an area of 13.5 m^2, we'll use the information provided: one side is 1.5 meters longer than the other.
Let x be the shorter side of the rectangle. The longer side will then be x + 1.5 meters. Since the area of a rectangle is given by the product of its length and width (Area = length × width), we can set up the equation:
13.5 = x * (x + 1.5)
Now, we'll solve for x:
13.5 = x^2 + 1.5x

0 = x^2 + 1.5x - 13.5
This is a quadratic equation. To solve for x, we can either use the quadratic formula or factor the equation. Factoring, we get:
(x + 4.5)(x - 3) = 0
This gives us two possible values for x: -4.5 and 3. Since the length of a side cannot be negative, we discard the -4.5 value. So, the shorter side (x) is 3 meters. To find the longer side, we add 1.5 meters:
Longer side = x + 1.5 = 3 + 1.5 = 4.5 meters
Therefore, the dimensions of the rectangular floor are 3 meters by 4.5 meters.

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To find the dimensions of the rectangular floor, we need to use the formula for the area of a rectangle, which is length x width.  Therefore, the dimensions of the rectangular floor are 3 meters by 4.5 meters.

According to the problem, one side (which we'll call the length) is 1.5

To calculate the dimensions of the rectangular floor with an area of 13.5 m^2, we'll use the information provided: one side is 1.5 meters longer than the other.

Let x be the shorter side of the rectangle. The longer side will then be x + 1.5 meters. Since the area of a rectangle is given by the product of its length and width (Area = length × width), we can set up the equation:

13.5 = x * (x + 1.5)

Now, we'll solve for x:

13.5 = x^2 + 1.5x

0 = x^2 + 1.5x - 13.5

This is a quadratic equation. To solve for x, we can either use the quadratic formula or factor the equation. Factoring, we get:

(x + 4.5)(x - 3) = 0

This gives us two possible values for x: -4.5 and 3. Since the length of a side cannot be negative, we discard the -4.5 value. So, the shorter side (x) is 3 meters. To find the longer side, we add 1.5 meters:

Longer side = x + 1.5 = 3 + 1.5 = 4.5 meters

Therefore, the dimensions of the rectangular floor are 3 meters by 4.5 meters.

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The most the salon would be willing to pay that groomer is $25×4 = $100.

The unitary method is a technique that determines the worth of a single unit from value of multiple units, as well as the quality of multiple units from value of a single unit.

Some key features regarding the unitary method are-

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Answer: Angle 4

Step-by-step explanation:

The angle of depression is formed by the line of sight and the horizontal line tangent to the top of the observer.

The number of complete rotations that the clothe dyer can make within the given amount of time would be = 5,940 rotations.

A clothe dryer is defined as the electrical electronic instrument that contains a rotary device which spins at a particular rate per minute.

The spinning rate of the clothe dryer = 4.5/sec

The given time = 22 minutes

But 1 minute = 60 seconds

If 4.5 rotations.= 1 second

.X rotations = 60 seconds

make X rotations the subject of formula;

X rotations = 4.5 × 60 = 270 rotations/ minute.

If 270 rotations = 1 minute

X rotations = 22 minutes

make X rotations the subject of formula;

X rotations = 270 × 22

= 5,940 rotations.

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The line with a slope of -1 is the one that is parallel to the given line.

To determine which line is parallel to the line passing through the points (-1, 2) and (5, -4), find the slope of the given line and look for other lines with the same slope.

The slope of a line  found using the formula:

slope = (change in y-coordinates) / (change in x-coordinates)

For the given points (-1, 2) and (5, -4):

slope = (2 - (-4)) / (-1 - 5)

= 6 / (-6)

= -1

So, the slope of the line passing through the points (-1, 2) and (5, -4) is -1.

Any line with a slope of -1 parallel to this line.

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Answer:

Choice B

Choice A = distributive property

Choice C & D = Associate Property

Step-by-step explanation:

See attachment.

The solution is that the rancher should buy 26 steers and 13 cows

Let's start by setting up a system of equations based on the given information.

The total amount of money the rancher has is $1000, and they plan to buy steers at $25 each and cows at $26 each. Let's say they buy s steers and c cows, then we have:

$25s + $26c = $1000 (Total amount spent)

We also know that s and c are both positive integers (whole numbers greater than zero).

We can solve for s and c by using some algebraic techniques. First, let's simplify the equation by dividing both sides by $1 to get rid of the dollar sign

25s + 26c = 1000

Now we can use a technique called "integer division" to solve for s and c. We'll start by assuming that the rancher buys all steers and no cows, which gives us

25s + 26(0) = 1000

25s = 1000

s = 40

So the rancher could buy 40 steers with their $1000. However, we need to account for the fact that they can also buy cows. Let's say they buy c cows, then we can set up another equation based on the total number of animals they buy

s + c = Total number of animals

Since we don't know the total number of animals, we'll leave that as a variable for now. We can use this equation to solve for c in terms of s:

c = Total number of animals - s

Now we can substitute this expression for c into the first equation:

25s + 26c = 1000

25s + 26(Total number of animals - s) = 1000

25s + 26Total number of animals - 26s = 1000

-Taking 25s to the right side

26Total number of animals = 1000 + s

dividing both sides by 26

Total number of animals = 38 + s/26

So the total number of animals must be a whole number, which means that s/26 must be a positive integer. We can try different values of s to see which ones work

If s = 26, then s/26 = 1 and Total number of animals = 39. This gives us c = 39 - 26 = 13, so the rancher would buy 26 steers and 13 cows.

If s = 52, then s/26 = 2 and Total number of animals = 40. This gives us c = 40 - 52 = -12, which doesn't make sense since c must be a positive integer.

If s = 78, then s/26 = 3 and Total number of animals = 41. This gives us c = 41 - 78 = -37, which again doesn't make sense.

So the only solution that works is when the rancher buys 26 steers and 13 cows. This would cost

25(26) + 26(13) = $650 + $338 = $988

So the rancher would have $12 left over from their $1000 budget.

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The given question is incomplete, the complete question is:

With $1000 a rancher is to buy steers at  $25 each and cows at $26 each. If the number of steers s and the number of cows c are both positive integers, what is the solution?

Answer:

in total there are seven months with 31 days which means there are 31 days in december. It starts on the same weekday as September and ends on the same weekday as april every year.

This would not be a statistical question because it does not have varying data. An example would be: What is the typical number of pets owned by students in my class.

If 9 seeds are planted, what is the probability that exactly 3 don't grow will be 1/5832000 as 5% chance are there that plant will not grow.

The area of mathematics known as probability studies potential outcomes of events as well as their relative probabilities and distributions. Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution.

Here,

The chances of seed to be not growing is 1–0.95 =0.05.

For 3 seeds not to grow being simultaneous occurring events have the probability = 0.05×0.05x0.05=0.000125

As 9 seeds being planted the probability of selecting 1 out of 9 is (1/9).

So for 3 mutual occurring case is (1/9)×(1/9)x(1/9)= 1/729

So the probability will be (1/729)×1/8000=1/58,32,000

The likelihood that exactly 3 seeds out of 9 will not germinate is 1/5832000, or 5%, so there is a chance that the plant won't grow.

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Answer: 0.267, 0.53

Step-by-step explanation: 0.53 is greater then 0.267

The points that lies on the same line are (-3, 12), and, (-1, 4).

Here, we have,

The given coordinate points are (-2, 8) and (5,-20).

Here, slope (m)= 8+20/-2-5

= 28/-7

=-4

Substitute m= -4 and (x, y)=(-2,8) in y=mx+c, we get

8 = 8+c

or, c = 0

So, the equation of a line is y= -4 x

Now,

(-6, -2) in the given equation is -2=-4 (-6)

-2≠ 24

(-3, 12)  in the given equation is y= -4 x

12 = 12

(4, 16) in the given equation is y= -4 x

16 ≠ -16

(0, 6) in the given equation is y= -4 x

6 ≠ 0

(-1, 4) in the given equation is y= -4 x

4 = 4

(7,5) in the given equation is y= -4 x

5 ≠ -28

Therefore, the points that lies on the same line are (-3, 12), and, (-1, 4).

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Answer: No, see explanation below

Step-by-step explanation:

For the relationship between the temperature scales to be proportional, the ratio (the number we get when dividing the given temperature in Celsius by the temperature in Fahrenheit) has to be constant.

\(\frac{0}{32}=0\\\frac{10}{50}=0.2\\\frac{20}{68}=0.29\)

In the example, I give, we can see that is not the case. It applies to any value as well, therefore the relationship between the temperature scales is NOT proportional

The open t-intervals on which the curve of sin(t) is concave downward are (-π/2, π/2), and the intervals on which it is concave upward are (π/2, 3π/2).

The open t-intervals on which the curve of cos(t) is concave downward are (0, π), and the intervals on which it is concave upward are (π, 2π).

Let's start with the function sin(t). To find the second derivative, we differentiate sin(t) twice:

d/dt [sin(t)] = cos(t) d²/dt² [sin(t)] = -sin(t)

The sign of the second derivative, -sin(t), depends on the value of t. Since sin(t) is always between -1 and 1, the second derivative will be negative in the interval (-π/2, π/2) where sin(t) is positive, and positive in the interval (π/2, 3π/2) where sin(t) is negative. Therefore, the curve of sin(t) is concave downward on the interval (-π/2, π/2), and concave upward on the interval (π/2, 3π/2).

Now let's move on to the function cos(t). We differentiate cos(t) twice:

d/dt [cos(t)] = -sin(t) d²/dt² [cos(t)] = -cos(t)

Similar to sin(t), the sign of the second derivative, -cos(t), depends on the value of t. Since cos(t) is also always between -1 and 1, the second derivative will be negative in the interval (0, π) where cos(t) is positive, and positive in the interval (π, 2π) where cos(t) is negative. Therefore, the curve of cos(t) is concave downward on the interval (0, π), and concave upward on the interval (π, 2π).

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If the distance between the tracks is 5m , then the train ride on track 2 is 15.7 m farther than track 1.

Let the distance traveled on Track 1 be = "d₁" and

Let the distance traveled on Track 2 be = "d₂",

We know that the distance from Track 1 to the center is 30 m,

So, the radius of Track 1 is 30 m.

Therefore, the distance traveled on Track 1 is the circumference of a circle with radius 30 m, which is:

⇒ d₁ = 2×π×r1 = 2×π×30 = 60π ,

The distance between the track1 and track2 is 5m ,

So, the radius of Track 2 is = 30 + 5 = 35 m,

So, the distance traveled on Track 2 beyond Track 1 is the difference between the circumference of the two circle with radius 35 m and the circumference of a circle with radius 30 m, which is:

⇒ 35π - 30π = 5π

The distance traveled on Track 2 beyond Track 1 plus the distance traveled on Track 1 gives the total distance traveled on Track 2:

⇒ d₂ = d₁ + 5π = 60π + 5π = 65π

So, the train ride on Track 2 is farther than Track 1 by:

⇒ d₂ - d₁ = 65π - 60π = 5π

⇒ 5π = 5×3.14 = 15.7m .

Therefore, the train ride on Track 2 is 15.7 meters farther than Track 1.

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Answer:

the sum of interior angles of a quadrilateral = 360 degree

Step-by-step explanation:

therefore,

let the angle C be X

124 + 96 + 94 + X = 360

314 + X = 360°

X = 360 - 314 = 46°

angle C = 46°

Answer:

46 degrees

Step-by-step explanation:

Cost to put a 0. 5 ft layer of topsoil on the entire garden is $1000.

The quantity of square units required to completely fill a square is known as the area of a square. The region that lies inside the confines of a flat item or a two-dimensional figure is generally referred to as the area. Measurements are made in square units, with square meters serving as the reference unit 

Area of a Square = Side × Side.

Therefore, the area of square = Side square units.

Side of a square garden= 10 ft.

Area of a square garden= Side × Side= 10 × 10 =100 square ft.

Cost of the whole garden = 100×$5 =$500

Cost to put a 0. 5 ft layer of topsoil on the entire garden =$500/0.5

=$1000

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The cost need to put a 0. 5 ft layer of topsoil on the entire garden is $1000

According to the given statement

we have given that the

side length of the square garden is 10ft.

topsoil cost per foot is $5

And we have to find the cost which required to put a 0. 5 ft layer of topsoil on the entire garden.

So,

The  side length of the square garden is 10ft.

Now, the volume of the cube is (a)^2

And

Total volume of cube = 10*10

Total volume of cube = 100 per square foot.

Now, we find the cost required for a topsoil.

Cost required to put a topsoil of 1 foot in the total volume of cube = volume*cost

So,

Cost required to put a topsoil of 1 foot in the total volume of cube = 1000*5

Cost required to put a topsoil of 1 foot in the total volume of cube = $5000

if we put a topsoil of 0.5 feet then

The cost required = $5000/0.5

The cost required = $1000.

So, The cost need to put a 0. 5 ft layer of topsoil on the entire garden is $1000

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The cost of each pendant is $3.60 if the total cost of the beads and a pendant for all 4 necklaces is $24.80.

In mathematics, divides left-hand operands into right-hand operands in the division operation.

For example 4/2 = 2

Goran made 4 identical necklaces each having beads and a pendant the total cost of the beads and a pendant for all 4 necklaces is $24.80 if the beads cost $10.40

Price for each necklace = 24.80 / 4 = $6.20

cost of beads + cost of pendant = $24.80

$10.40  + cost of pendant = $24.80

cost of cost of pendant= $24.80 - $10.40 = $14.4

So cost of each pendant = $14.4 / 4

cost of each pendant = $3.6

Therefore, the cost of each pendant is $3.60.

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It is FALSE information and has faulty statements along with it.

Answer: True

Step-by-step explanation:

A function is a type of relation in which each element of domain has a unique image meaning each input value (domain) of a function is assigned to only one output value (range).

The probability that a randomly selected student from the school have a cold after receiving the flu vaccine is 0.27 or 27%.

The school nurse is hoping to limit the cold's spread among the students in her school. To do this, to administer flu vaccines to the students. However, the flu vaccine is only effective in preventing the cold in 75% of cases.

Now, let's calculate the probability that a randomly selected student from the school have a cold after receiving the flu vaccine.

Let:

P(Cold) be the probability of having a cold in the city (given as 64% or 0.64).

P(Not Cold) be the probability of not having a cold in the city (since P(Cold) + P(Not Cold) = 1).

P(Vaccine Effective) be the probability that the flu vaccine is effective (given as 75% or 0.75).

The probability of not having a cold after receiving the flu vaccine is given by:

P(Not Cold | Vaccine) = P(Not Cold) × P(Vaccine Effective)

P(Not Cold | Vaccine) = (1 - P(Cold)) × P(Vaccine Effective)

P(Not Cold | Vaccine) = (1 - 0.64) × 0.75

P(Not Cold | Vaccine) = 0.36 × 0.75

P(Not Cold | Vaccine) = 0.27

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Complete question:

In a large city, 64% of the population under the age of 15 had a cold during the last winter season. A school nurse is hoping to limit the ...

Answer:

1,995 would round to 2,000

Step-by-step explanation:

1,995 is 5 away from 2,000 so if you were rounding to the nearest hundred 2,000 would be it

The answer to this question is  0.077

The price per night for a Suite room for check-in on Friday and Saturday would be amount $278.50 .

The price per night for a Suite room for check-in on Friday and Saturday would be amount $278.50.

1. Calculate the price of a Deluxe room for check-in on Sunday until Thursday:

$223 / 1.70 = $131.18

2. Calculate the price of a Deluxe room for check-in on Friday and Saturday:

$131.18 x 1.25 = $163.98

3. Calculate the price of a Suite room for check-in on Friday and Saturday:

$163.98 x 1.70 = $278.50

The price per night for a Suite room for check-in on Friday and Saturday would be $278.50.

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Step-by-step explanation:

Break it up into two trapezoids as shown

area = trap1 + trap2

      = 2 *   (7+3) / 2   + 3 *  ( 7 + 3) / 2 = 10 + 15 = 25 units^2

The total time it takes the soccer ball to hit the ground, which bounces up at a velocity of 20 feet per second, is 1.535 seconds.

Vertical motion model is the model which is used to find the height of the object which is thrown vertically upward. It can be given as,

\(h(t)=-16t^2+v+t\)

Here, t is time and v is velocity.

Soccer player jumps up and heads the ball while it is 7 feet above It bounces up at a velocity of 20 feet ground. per second.  Thus, the vertical motion model for this situation is,

\(h(t)=-16t^2+20t+7\)

When the ball hit the ground, the value of height (h) become zero. Thus,

\(0=-16t^2+20t+7\\16t^2-20t-7=0\)

On solving this quadratic, the value of x we get,

\(x=1.535,x=-0.285\)

Taking positive side x=1.535 second. Thus, the total time it take the soccer ball to hit the ground which bounces up at a velocity of 20 feet per second, is 1.535 seconds.

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Answer:

15

Step-by-step explanation

We divide the amount he's selling them for, by the amount of money he needs to make.

75 divided by 5 equals 15.

He needs to sell 15 sports drinks to make $75.

Answer:

25

Step-by-step explanation:

75:(5-2)=25

and to check it

2×25=50

25×5=125

profit = 125-50

profit=75

answer is 25

Answer:

see explanation

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = \(\frac{1}{2}\) , then

y = \(\frac{1}{2}\) x + c ← is the partial equation

to find c substitute (5, 1 ) into the partial equation

1 = \(\frac{5}{2}\) + c ⇒ c = 1 - \(\frac{5}{2}\) = - \(\frac{3}{2}\)

y = \(\frac{1}{2}\) x - \(\frac{3}{2}\) ← equation of line

to find the y- intercept , let y = 0 in the equation , that is

\(\frac{1}{2}\) x - \(\frac{3}{2}\) = 0 ( multiply through by 2 to clear the fractions )

x - 3 = 0 ( add 3 to both sides )

x = 3 ← is the x- intercept

from the equation the y- intercept is the value of c , then

y- intercept = - \(\frac{3}{2}\)

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

HOPE THIS HELPSSSS

The odds in favor of the event occurring are 8:1.

The odds in favor of an event occurring can be calculated by dividing the probability of the event occurring by the probability of the event not occurring. In this case, the probability that the event will occur is 8/9, and the probability that the event will not occur is 1/9. To determine the odds in favor of the event occurring, we divide the probability of the event occurring by the probability of the event not occurring, which gives us 8/1 or simply 8:1.

In probability theory, odds are a way of expressing the likelihood of an event happening. They can be calculated by comparing the probability of an event occurring to the probability of the event not occurring. In this case, if the probability that an event will occur is 8/9, it means that out of nine equally likely outcomes, eight are favorable to the event occurring.

To calculate the odds in favor of the event occurring, we divide the probability of the event occurring (8/9) by the probability of the event not occurring (1/9). This gives us a ratio of 8:1, indicating that the event is highly likely to occur. In other words, for every one unfavorable outcome, there are eight favorable outcomes.

Understanding odds is essential in various fields, such as gambling, statistics, and risk assessment. It allows us to assess the likelihood of certain outcomes and make informed decisions based on the probabilities involved. By knowing the odds in favor of an event occurring, we can evaluate the potential risks and rewards associated with it.

Learning more about probability and odds can provide valuable insights into decision-making processes and help in assessing uncertainties. It is an essential tool for professionals working in fields that involve risk analysis, such as finance, insurance, and scientific research. By understanding how to calculate and interpret odds, individuals can make more informed choices and mitigate potential risks effectively.

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