A party rental company has chairs and tables for rent. The total cost to rent 6 chairs and 2 tables is $28. The total cost to rent 3 chairs and 5 tables is $55. What is the cost to rent each chair and each table?

Answer:

50 ft

Step-by-step explanation:

The area of a rectangle = width × depth

area = 2,500 ft²

width = 50 ft

Substitute the values into the formula:

2,500 = 50 × depth

Divide both sides by 50 to find the depth:

2500 ÷ 50 = depth

depth = 50 ft

Explanation

An absolute maximum point is a point where the function obtains its greatest possible value.

Similarly, an absolute minimum point is a point where the function obtains its least possible value.

Step 1

check the graph of g:

The y- coordinates (output) at the highest and lowest points are called the absolute maximum and absolute minimum

To locate absolute maxima and minima from a graph, we need to observe the graph to determine where the graph attains it highest and lowest points on the domain of the function

so, for G

Step 2

Now, for h

I hope this helps you

Answer:

$54.87

Step-by-step explanation:

The area of the triangular garden is (1/2) x base x height = (1/2) x 6 x 5 = 15 square feet.

The area of the rectangular mulch area is base x height = 12 x 9 = 108 square feet.

The total area to be covered with mulch is 108 - 15 = 93 square feet.

The cost of the mulch is $0.59 per square foot, so the total cost is 93 x $0.59 = $54.87.

Therefore, the total cost of the mulch will be $54.87.

Aircraft A has 312 seats.

Let's assume that Aircraft B has x seats.

According to the given information, Aircraft A has 105 more seats than Aircraft B. So, the number of seats in Aircraft A can be expressed as x + 105.

The total number of seats in both aircraft is 519, which can be represented by the equation:

x + (x + 105) = 519

Simplifying this equation, we have:

2x + 105 = 519

Subtracting 105 from both sides, we get:

2x = 414

Dividing both sides by 2, we find:

x = 207

Therefore, Aircraft B has 207 seats.

To find the number of seats in Aircraft A, we substitute the value of x back into the expression x + 105:

Aircraft A = 207 + 105 = 312

Hence, Aircraft A has 312 seats.

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Answer:

D: New York City is the correct answer

Answer:

C

Step-by-step explanation:

CityBank

4.75/100 × 500 = 23.75

23.75 × 12 = 285

First National

3.9/100 × 500 = 19.50

19.50 × 12 = 234

285-234=51

1. The scale factor here in the dilation is 4/3.

2. Yes, dilation occurred on the coordinate plane below. The scale factor for the dilation is -4/3.

During the process of dilatation, an object must be reduced in size or changed. It is a transformation that uses the given scale factor to shrink or expand the objects. The image is the new figure that forms as a result of dilatation, whereas the pre-image is the original figure. There are two kinds of dilation:

A rise in an object's size is referred to as expansion.

Contraction is the term used for a reduction in size.

Here in the question,

The coordinates of the point B change from (-3,6) to (-4,8).

The scale factor here is -4/-3=4 or 8/6=4/3.

Now, when the dilation happens below the plane, the coordinates will be (x,-y)

So, the dilation factor will be -4/3.

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A possible vector function that represents the curve of intersection of the two surfaces is r(t) = (5 cos(t), 5 sin(t), 5 cos(t) sin(t))

The cylinder x^2 + y^2 = 25 represents the set of points in 3D space where the distance from the origin to the point (x, y, z) is equal to 5. The surface z = xy represents the set of points in 3D space where the height of the point (x, y, z) is equal to its x-y coordinate.

The curve of intersection of the two surfaces is given by the set of points in 3D space that are simultaneously on the cylinder and on the surface z = xy. This means that for any point on the curve of intersection, the distance from the origin to the point must be equal to 5, and the height of the point must be equal to its x-y coordinate.

We can find a vector function that represents the curve of intersection by parameterising the points on the curve in terms of a scalar parameter t. For example, a possible parameterization of the curve of intersection is:

r(t) = (5 cos(t), 5 sin(t), 5 cos(t) sin(t))

where t is a scalar parameter that ranges over all values between 0 and 2π. The values of x, y, and z are given by 5 cos(t), 5 sin(t), and 5 cos(t) sin(t), respectively, and represent a point on the curve of intersection for each value of t.

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Answer:

237.5

Step-by-step explanation:

2·(5·7.5+6.5·7.5+6.5·5)=237.5

Answer:

sorry

Step-by-step explanation:

sorry I cannot help u because I have not seen this type of question before and I have not learn I am in 7 classes

Answer:

4.5 gallons.

Step-by-step explanation:

By proportion this is 180 / 40

= 9/2

= 4.5 gallons.

Answer:

The range in which we can expect to find the middle 68% of most pregnancies is [245 days , 279 days].

Step-by-step explanation:

We are given that the lengths of pregnancies in a small rural village are normally distributed with a mean of 262 days and a standard deviation of 17 days.

Let X = lengths of pregnancies in a small rural village

SO, X ~ Normal(\(\mu=262,\sigma^{2} = 17^{2}\))

Here, \(\mu\) = population mean = 262 days

         \(\sigma\) = standard deviation = 17 days

Now, the 68-95-99.7 rule states that;

So, middle 68% of most pregnancies is represented through the range of within one standard deviation points, that is;

[ \(\mu -\sigma\) , \(\mu + \sigma\) ]  =  [262 - 17 , 262 + 17]

                          =  [245 days , 279 days]

Hence, the range in which we can expect to find the middle 68% of most pregnancies is [245 days , 279 days].

Step-by-step explanation:

\(1meter = 39.37inches \\ 8.104meters = (39.37 \times 8.104)inches \\ = 319.05448inches\)

There are \(3.1496\cdot 10^6\) inches in \(8\cdot 10^4\) meter.

Important information:

Using the given information,

1 meter = 39.37 inches

Using this conversion, we get

\(8\cdot 10^4\) meter = \(39.37\times (8\cdot 10^4)\) inches

\(8\cdot 10^4\) meter = \(39.37\times 80000\) inches

\(8\cdot 10^4\) meter = \(3149600\) inches

\(8\cdot 10^4\) meter = \(3.1496\cdot 10^6\) inches

Therefore, there are \(3.1496\cdot 10^6\) inches in \(8\cdot 10^4\) meter.

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To "distribute" anything is to divide it up or to give someone a piece of it.

What does the mathematical distributive property mean then?

The distributive property is the distributive law of multiplication over operations in fundamental arithmetic, such as addition and subtraction.

This property states that multiplying the total of two or more addends by a number will provide the same outcome as multiplying each addend by the number separately and then adding the results together.

In other words, an equation of the type A (B + C) can be solved as A (B +C) AB  + AC in accordance with the distributive property.

This characteristic also holds for subtraction.

A (B - C) = AB - AC

This indicates that operand A is shared between the other two operands.

Let’s look at the formula for distributive property:

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Answer:

When the ticket price is $70, the weekly profit to the airline on flights from Boston to Washington is $1500.

Step-by-step explanation:

The function has the following format:

f(p)

That is, f is a function of p.

The derivative, f'(p), is the variation of f for the given value of p.

f'(70) = 1.5

p = 70, thus, ticket price of $70.

f'(70) = 1.5 means that the weekly profit to the airline on flights from Boston to Washington is 1.5 thousand dollars, that is, $1500.

Thus the correct answer is:

When the ticket price is $70, the weekly profit to the airline on flights from Boston to Washington is $1500.

Answer:

Jillian bikes 3 miles each evening.

3

Step-by-step explanation:

3 (miles) × 5 (days) = 15 (Run)

3 (miles) × 5 (days) = 15 (Bike)

30 miles total

Hope this helps!!

Check:

She works out twice a day and goes three miles each time for five days.

Six miles per day

6 · 5 = 30

Answer:

To find 29% of 150, we can first express 29% as a decimal by dividing 29 by 100. 29% is the same as 0.29.

Then, we multiply 0.29 by 150 to find the answer:

0.29 * 150 = 43.5

So, 29% of 150 is equal to 43.5.

Here's the work:

29% * 150 = 0.29 * 150 = 43.5

\(\huge\text{Hey there!}\)

\(\mathsf{29\%\ of \ 150}\)

\(\mathsf{= \dfrac{29}{100} \ of \ 150}\)

\(\mathsf{= \dfrac{29}{100} \times 150}\)

\(\mathsf{= \dfrac{29}{100} \times \dfrac{150}{1}}\)

\(\mathsf{= \dfrac{29(150)}{100(1)}}\)

\(\mathsf{= \dfrac{4,350}{100}}\)

\(\mathsf{= \dfrac{4,350 \div 50}{100 \div 50}}\)

\(\mathsf{= \dfrac{87}{2}}\)

\(\mathsf{= 43 \dfrac{1}{2}}\)

\(\mathsf{= 43.5}\)

\(\huge\text{Therefore, your answer should be:}\)

\(\huge\boxed{\mathsf{\dfrac{87}{2}}}\huge\checkmark\)

\(\huge\boxed{\mathsf{43 \dfrac{1}{2}}}\huge\checkmark\)

\(\huge\boxed{\mathsf{43.5}}\huge\checkmark\)

\(\large\text{Either of those should work because they are all equivalent to each}\\\large\text{other}\uparrow\)

\(\huge\text{Good luck on your assignment \& enjoy your day! }\)

Based on the given data, the probability that exactly 2 insects will survive is 0.1402 rounded to four decimal places.

The probability mass function for the binomial distribution is given by:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

where X is the random variable representing the number of successes (surviving insects), k is the specific number of successes we're interested in (k=2 in this case), n is the total number of trials (n=11), p is the probability of success (p=0.3), and (n choose k) is the binomial coefficient, which is the number of ways to choose k objects from a set of n objects.

Plugging in the values, we get:

P(X=2) = (11 choose 2) * 0.3² * 0.7²

= (55) * 0.09 * 0.02825

= 0.1402

Therefore, the probability that exactly 2 insects will survive is 0.1402 (rounded to four decimal places).

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Answer:

  (x -14)² +(y -7)² = 1²

Step-by-step explanation:

You want the equation of the circle that represents the border of a logo centered 14 m right and 7 m up from the lower left corner of a soccer field. The logo is 2 m in diameter.

The equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

Since the origin of the coordinate system is the lower left corner of the field, the center is located at (h, k) = (14, 7). The diameter of 2 m means the radius is 1 m. Using these values in the equation, it becomes ...

  (x -14)² +(y -7)² = 1²

Answer:

Step-by-step explanation:

For the given function the value of limits are

\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\) is 5

\(\lim _{x\to 0^+}\left(f\left(x\right)\right)\) is 0

\(\lim _{x\to 0}\left x^2+5\)is 5

The given function is f(x)= x²+5, when x≤0

f(x)=2x when x>0

\(\lim _{x\to 0^-}\left(f\left(x\right)\right)\)

Which is \(\lim _{x\to 0^-}\left x^2+5\)

The given limit is a left hand limit as there is minus in the limits

When we apply x as 0 we get the value 5

Now \(\lim _{x\to 0^+}\left(f\left(x\right)\right)\)

So \(\lim _{x\to 0^+}\left 2x\)

The given limit is a right hand limit as there is positive in the limits

When we apply x as 0 we get 0

Now \(\lim _{x\to 0}\left(f\left(x\right)\right)\)

Which is \(\lim _{x\to 0}\left x^2+5\)

We get 5

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Answer:

B) 194.7 m

Step-by-step explanation:

You use the radius value in the formula 2(pi)r.

2(pi)31 = 194.7

How do you draw the graph of

Now, put different values of x.

Put x = - 1,

Put x = -2,

Thus, the graph of x^2 will be

Answer:

d = 48.8

Step-by-step explanation:

Subtract 71.2 from both sides:

71.2 + d - 71.2 = 120 - 71.2

Group like terms:

d + 71.2 - 71.2 = 120 - 71.2

Simplify the arithmetic:

d = 120 - 71.2

Simplify the arithmetic:

d = 48.8

Answer:

4

Step-by-step explanation:

Y-intercept is where the line crosses the y-axis.

In this case, you can see the line cross the y-axis at 4.

Answer:

15 years

Step-by-step explanation:

Given the quadratic regression model:

y = 8x² - 40x+6 ; where

y = Number of people attending graduate school ;

x = number of years

The value of x when y = 1206

The equation becomes :

1206 = 8x² - 40x+6

1206 - 6 = 8x² - 40x

1200 = 8x² - 40x

Divide through by 8

150 = x² - 5x

x² - 5x - 150 = 0

x² - 15x + 10x - 150 = 0

x(x - 15) + 10(x - 15)

x - 15 = 0 or x + 10 = 0

x = 15 or x = - 10

Number of years can't be negative,

Hence, x = 15 years

Answer:3 /8

Step-by-step explanation:

Answer:

\(Length = 18m\)

\(Width = 10m\)

Step-by-step explanation:

Given

\(Area = 180m^2\)

\(Width = Length - 8\)

Required

Determine the Length and the Width

Represent Width with W and Length with L;

So, we have:

\(Area = L * W\)

\(Area = L * (L - 8)\)

\(180 = L * (L - 8)\)

\(180 = L^2 - 8L\)

\(L^2 - 8L - 180 = 0\)

Expand

\(L^2 - 18L + 10L- 180 = 0\)

\(L(L - 18) + 10(L- 18) = 0\)

\((L + 10)(L- 18) = 0\)

Split

\(L + 10 =0\) or \(L - 18 = 0\)

\(L = -10\) or \(L = 18\)

But length cant be negative:

So,

\(L = 18\)

Recall that:

\(Width = Length - 8\)

\(W = 18 - 8\)

\(W = 10\)

Hence:

\(Length = 18m\)

\(Width = 10m\)

The dimension of the rectangular garden is 8m by 10m

The formula for calculating the area of the rectangular garden is expressed as;

A = lw

l is the length

w is the width

If the width of the garden must be 8 meters less than the length, then;

w = l - 8

Substitute into the formula;

180 = l(l-8)

180 =l^2 - 8l

l^2-8l - 180 = 0

Factorize the result;

l(l+10)-8(l+10) = 0

(l-8)(l+10)=0

l = 8 and -10

Since A = lw

w = A/l

w = 180/8

w = 10

Hence the dimension of the rectangular garden is 8m by 10m

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Answer:

(a) $52

(b) $2500

(c) $5000

Step-by-step explanation:

(a) y = 100 - 0.02x

x = 2400

y = 100 - 0.02(2400)

y = 100 - 48

y = 52

$52

(b) 50 = 100 - 0.02x

-50 = -0.02x

x = 2500

$2500

(c) 0 = 100 - 0.02x

0.02x = 100

x = 5000

$5000