NEED ASAP PLSS

The average weight per adult is 150 pounds, and the average weight per child is 40 pounds. Write an equation for the number of adults A and the number of children C the elevator can hold.

Answers

Answer 1

Let's assume that the elevator has a weight capacity of W pounds.

We can set up two equations to represent the number of adults (A) and the number of children (C) the elevator can hold:

Averaged weight per adult * Number of adults + Averaged weight per child * Number of children ≤ Weight capacity of the elevator

Using the given values, we can substitute:

150A + 40C ≤ W

This equation represents the weight limit of the elevator, where the sum of the weight of all adults and children inside the elevator cannot exceed W.


Related Questions

Need help on this one please.


The following recursive algorithm computes factorials.

def fact(n) :
if n = 0 :
fact(n) = 1
else:
fact(n) = n · fact(n − 1)

Use mathematical induction to prove that fact(n) = n! for all n ∈ N

Answers

By mathematical induction, we've proven that the given recursive algorithm computes factorials correctly, i.e., fact(n) = n! for all n ∈ N.

How to solve

To prove the algorithm using mathematical induction, we'll proceed in two steps: the base case and the inductive step.

Base case: n = 0

By definition, 0! = 1. According to the given algorithm, when n = 0, fact(0) = 1. Therefore, the base case holds, as fact(0) = 0! = 1.

Inductive step:

Assume that the algorithm is correct for some arbitrary non-negative integer k, i.e., fact(k) = k!. We want to show that the algorithm is also correct for k + 1, i.e., fact(k + 1) = (k + 1)!.

According to the algorithm:

fact(k + 1) = (k + 1) * fact(k)

Using the induction hypothesis that fact(k) = k!, we can substitute this into the equation:

fact(k + 1) = (k + 1) * k!

By definition of the factorial function, (k + 1)! = (k + 1) * k!, so:

fact(k + 1) = (k + 1)!

We've shown that if fact(k) = k!, then fact(k + 1) = (k + 1)!. Thus, the inductive step is complete.

By mathematical induction, we've proven that the given recursive algorithm computes factorials correctly, i.e., fact(n) = n! for all n ∈ N.

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if you dilate triangle ABC by a scale factor of 3 and (0,0) is the center, what will be the length of AB?

Answers

the new length of AB after a dilation by a scale factor of 3 with (0,0) as the center would be 3 times the original length of AB.

How to solve the question?

To find the new length of AB after a dilation by a scale factor of 3 with (0,0) as the center, we can use the following formula:

AB' = AB x 3

where AB' is the length of AB after the dilation, and AB is the original length of AB.

However, we need to first determine the length of AB in the original right triangle ABC. To do this, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

Let's assume that AB is the hypotenuse of the right triangle ABC, and that AC and BC are the other two sides. Then we have:

AB²= AC²+ BC²

Without more information about the lengths of AC and BC, we cannot determine the value of AB. However, once we have determined the length of AB, we can use the formula above to find the new length of AB after dilation.

Assuming we know the length of AB in the original right triangle ABC, we can now use the formula for dilation to find the new length of AB:

AB' = AB x 3

For example, if AB is 5 units long in the original triangle, then after dilation, AB' would be:

AB' = 5 x 3 = 15 units

Therefore, the new length of AB after a dilation by a scale factor of 3 with (0,0) as the center would be 3 times the original length of AB.

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Which of the numbers 0, 1, 2, 3 or 4 make the equation 8/y2 + 2 true?

Answers

None of the given numbers make the equation 8/y² + 2 true.

What is algebra?

Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas.

To solve this problem, we can substitute each of the given numbers (0, 1, 2, 3, 4) for y in the equation 8/y² + 2 and see if the equation is true.

Substituting y=0 would make the denominator of the fraction zero, which is undefined, so y=0 is not a valid choice.

Substituting y=1 would give us:

8/1² + 2 = 8 + 2 = 10

So, 1 is not the answer.

Substituting y=2 would give us:

8/2² + 2 = 8/4 + 2 = 2 + 2 = 4

So, 2 is not the answer.

Substituting y=3 would give us:

8/3² + 2 = 8/9 + 2 = 0.888 + 2 = 2.888

So, 3 is not the answer.

Substituting y=4 would give us:

8/4² + 2 = 8/16 + 2 = 0.5 + 2 = 2.5

So, 4 is not the answer.

Therefore, none of the given numbers make the equation 8/y² + 2 true.

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Need help with is question

Answers

Answer:

27.78%

Step-by-step explanation:

To calculate the percentage of the total spending that is on rent, we need to divide the amount spent on rent by the total amount spent, and then multiply by 100 to get the percentage.

Total spending = food + rent + other + fun

Total spending = $400 + $500 + $600 + $300

Total spending = $1800

So, the percentage of the total spending that is on rent is:

($500 / $1800) x 100% = 27.78%

Therefore, approximately 27.78% of the total spending is on rent.

4. What is the mapping formula expressed by the vector that translates JKLM to J'K'L'M'.


A. (X,Y)-> (x-1,y-4)
B. (X,Y)->(x-2,y+3)
C. (X,Y)->(x-2,y-3)
D. (X,Y)->(x+1,y+4)

Answers

the answer is D: (X,Y)->(x+1,y+4).We can find the mapping formula that translates JKLM to J'K'L'M' by finding the horizontal and vertical distances between the corresponding points.

what is vertical distances  ?

Vertical distance refers to the distance between two points measured in a straight line perpendicular to the horizontal plane. In other words, it is the distance between two points in the up-down direction.

In the given question,

We can find the mapping formula that translates JKLM to J'K'L'M' by finding the horizontal and vertical distances between the corresponding points.

The vector that translates JKLM to J'K'L'M' is given by the difference between the coordinates of J and J', and the difference between the coordinates of K and K'. Let's call these differences "a" and "b", respectively. Then we can write:

a = J' - J = (-1) - 0 = -1

b = K' - K = 3 - (-1) = 4

Therefore, the mapping formula expressed by the vector that translates JKLM to J'K'L'M' is:

(X,Y) -> (X - 1, Y + 4)

So the answer is D: (X,Y)->(x+1,y+4).

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What is the area of the parallelogram shown below?
17
8
units2
9
17
4

Answers

Answer:  135

======================================================

Explanation:

The triangle on the left has a = 8 as one of the legs, and c = 17 as the hypotenuse. Use the pythagorean theorem to find the missing side.

[tex]a^2+b^2 = c^2\\\\8^2+b^2 = 17^2\\\\64 + b^2 = 289\\\\b^2 = 289-64\\\\b^2 = 225\\\\b = \sqrt{225}\\\\b = 15\\\\[/tex]

This is the height of the parallelogram as marked by the dashed line.

The base is 9 units across the bottom. We won't use 8 as the base because it's too short along the top.

area = base*height

area = 9*15

area = 135 square units

A waiter made $288 in tips after waiting on 12 tables. What was the waiter’s average tip per table?

A$24
B$13
C$15
D$16

Answers

Answer:

24

Step-by-step explanation:

Answer:

A. $24

Step-by-step explanation:

Given:

total of $288number of values is 12 tables

Solve for average tip:

Average is the same as the meanTo solve you have add up the total and divide by the total number of values288 / 12 = 24

Answer:

Thus, the waiter's average tip per table is $24.

The answer is A.

Which is the closest to the area of the shaded region in the given square containing a circle? (Use ≈ 3.14.)
10 m
21.5 square meters
50 square meters
O 78.5 square meters
O 100 square meters
5m

Answers

The area of the shaded region in the specified figure of the square containing a circle is 21.5 m², which is the first option

21.5 square meters

What is a square?

A square is a quadrilateral with all sides of the same length and four interior angles which are right angles.

The figure is a composite figure comprising of a square and a circle

The radius of the circle, r = 5 meters

The side length of the square = 10 meters

The value of π = 3.14

The area of the square = 10 m × 10 m = 100 m²

The area of the circle = π × (5 m)² = 25·π m²

The area of the shaded region is the difference between the area of the square and the area of the circle, therefore;

The area of the shaded region = (100 - 25·π) m²

The area of the shaded region is therefore; (100 - 25 × 3.14) m² = 21.5 m²

The area of the shaded region is 21.5 square meters

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Need help Asap please

Answers

Answer:

Summer for 9th Graders: 0.14

Fall for 10th Graders: 0.15

Spring overall total: 0.36

Summer overall total: 0.22

Fall overall total: 0.33

Winter overall total: 0.09

Step-by-step explanation:

Relative frequencies are related to percentages so you can find the answer through that given the total from each grade.

However, adding or subtracting makes the process easier (in my opinion) to find the relative frequency

A car, van, truck and bike are all travelling in the same direction on the road. Each travels at a constant speed, but the speeds of the 4 vehicles may be different. At 10 am the car overtakes the van. At noon it overtakes the truck. At 2 pm it overtakes the bike. At 4 pm the truck overtakes the bike. At 6 pm the van overtakes the truck. When does the van overtake the bike?

Answers

Answer:

at 6 pm

Step-by-step explanation:

I'm 99.9% sure that it's correct, please tell me if I'm wrong

4. center (3, 6), tangent to the x-axis

Answers

The equation of the circle with center (3,6) and tangent to the x-axis is (x - 3)² + 36 = r²

Describe Tangent?

In mathematics, a tangent is a straight line that touches a curve or surface at a single point and is perpendicular to the radius or line that passes through that point. The point of contact between the tangent and the curve or surface is called the point of tangency.

In geometry, the tangent to a circle is a straight line that intersects the circle at exactly one point. This point is called the point of tangency, and the tangent is perpendicular to the radius of the circle at that point.

The tangent is an important concept in calculus, where it is used to define the derivative of a function. The derivative of a function f(x) at a point x=a is defined as the slope of the tangent line to the graph of f(x) at the point (a, f(a)). This slope measures the rate at which the function is changing at that point.

If an equation is tangent to the x-axis, this means that it only intersects the x-axis at one point, which has a y-coordinate of zero. So, we need to write an equation of a circle with center (3,6) that intersects the x-axis at one point with a y-coordinate of zero.

Let the radius of the circle be r. Since the center of the circle is (3,6), the equation of the circle can be written in the form:

(x - 3)² + (y - 6)² = r²

Since the circle is tangent to the x-axis, we know that it intersects the x-axis at (x,0), where x is a point on the x-axis. Substituting y=0, we get:

(x - 3)² + (0 - 6)² = r²

Simplifying this equation, we get:

(x - 3)² + 36 = r²

So, the equation of the circle with center (3,6) and tangent to the x-axis is:

(x - 3)² + 36 = r²

Note that there are many possible values for r that would satisfy this equation, since we haven't specified the size of the circle. We only know that it is tangent to the x-axis and has center (3,6).

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The complete question is :

How do you write an equation with center (3,6), tangent to the x-axis?

Use the slip and y-intercept to identify the equation of this line

Answers

Answer:

y=2x

Step-by-step explanation:

equation formula is y=mx+b

m is slope

b is y-intercept

you know that slope is 2

y intercept is 0

so plug it into the equation

y=2x+0 or just y=2x

Factor 78+ 36. Write your answer in the form a(b + c) where a is the GCF of 78 and 36.
(0)

Answers

Answer:

The greatest common factor (GCF) of 78 and 36 is 6.

78 + 36 = 6(13 + 6)

So, the expression 78 + 36 can be written in the form a(b + c) where a is the GCF of 78 and 36, which is 6.

Step-by-step explanation:

Evaluate the expression for the given value.

–a – 7 for a = –4

A11
B–11
C3
D–3

Answers

The answer for -a - 7 for a =-4 is -3

A fair coin is tossed two times. Let X be the number of heads that appear. Obtain the probability distribution of the random variable X. Also compute (a) P(0.5 < X ≤ 4), (b) P(-1.5 < X < 1) and (c) P(X ≤ 2).​

Answers

The probability distribution of X is

X P(X)

0 1/4

1 1/2

2 1/4

and required values of P(0.5 < X ≤ 4), P(-1.5 < X < 1) and P(X ≤ 2) are 3/4, 3/4 and 1 respectively.

What is Probability distribution?

Probability distribution refers to a function that describes the likelihood of different outcomes in a random event or experiment. It specifies how the total probability of 1 is divided among all the possible outcomes of the event.

There are two main types of probability distributions: discrete and continuous.

A discrete probability distribution assigns probabilities to a finite or countably infinite number of outcomes. Examples of discrete probability distributions include the Bernoulli distribution, the binomial distribution, and the Poisson distribution.

The possible outcomes of tossing a fair coin twice are

{HH, HT, TH, TT}

Let X be the number of heads that appear.

X = 0 if the outcome is TT.

X = 1 if the outcome is HT or TH.

X = 2 if the outcome is HH.

The probability distribution of X is

X P(X)

0 1/4

1 1/2

2 1/4

To compute the probabilities asked for:

(a) P(0.5 < X ≤ 4) = P(X = 1) + P(X = 2) = 1/2 + 1/4 = 3/4.

(b) P(-1.5 < X < 1) = P(X = 0) + P(X = 1) = 1/4 + 1/2 = 3/4.

(c) P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2) = 1/4 + 1/2 + 1/4 = 1.

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Suppose that the function h is defined as follows.
if
-2
-1
h(x)= 0
1
2
Graph the function h.
-3.5 if-2.5 if-1.5 if -0.5 if 0.5 ≤x≤1.5

Answers

Suppose that the function h is defined as follows. -2 -1 h(x)= if – 2, the graph is given below: (see image)

What is a Graph?

A graph is a mathematical structure used to represent relationships between objects or entities. It consists of a set of vertices (also known as nodes) and a set of edges that connect pairs of vertices.

In a graph, the vertices represent the objects or entities being studied, while the edges represent the connections or relationships between them.

For example, in a social network graph, the vertices might represent individual users, and the edges might represent their connections (e.g. friendships) with other users.

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A local department store can sell 100 gaming systems at a price of $180 each. Research
shows that for each $18 price increase, the store will sell 4 fewer systems, and vice versa.
a. Find a linear price equation for the gaming system. That is, express the price, p, as a
function of the quantity, q. (2 points)
b. Use your answer from (a) to find the revenue equation.
c. Use your knowledge of quadratic functions to find the price and quantity sold that will maximize revenue.

Answers

Therefore, the price that maximizes revenue is $135, and the quantity sold at that price is q0/2.

What is the unit price?

In order to find the unit price of a certain item, we just need to divide the total price paid (or total cost) by the number of items bought.

According to given information

a. Let x be the number of $18 price increases from the original price of $180, and let y be the corresponding decrease in the number of gaming systems sold. Then we have the data point (x, y) = (0, 0) and the slope of the line is -4/18 = -2/9. Using the point-slope form of a linear equation, we have:

y - 0 = (-2/9)x

y = (-2/9)x

Substituting x = 18n, where n is the number of $18 price increases, we have:

y = (-2/9)(18n) = -4n

Let q be the quantity of gaming systems sold at a price of $180. Then the equation for the price of the gaming system as a function of the quantity sold is:

p(q) = 180 + 18n = 180 + 18(q - q0)/4 = 180 + (9/2)(q - q0),

where q0 is the quantity of gaming systems sold at the original price of $180.

b. The revenue equation is given by R(q) = q*p(q). Substituting the expression for p(q) found in part (a), we have:

R(q) = q*(180 + (9/2)(q - q0)) = (9/2)q^2 + (180 - 9q0/2)q

c. To find the price and quantity sold that will maximize revenue, we can differentiate the revenue equation with respect to q, set the derivative equal to zero, and solve for q:

R'(q) = 9q - 9q0/2 = 0

q = q0/2

Substituting q = q0/2 into the revenue equation, we have:

R(q0/2) = (9/2)(q0/2)^2 + (180 - 9q0/2)(q0/2)

R(q0/2) = (9/8)*q0^2 + (45/2)*q0

To find the corresponding price, we can use the expression for p(q) found in part (a):

p(q0/2) = 180 + (9/2)(q0/2 - q0)

p(q0/2) = 135

Therefore, the price that maximizes revenue is $135, and the quantity sold at that price is q0/2.

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Triangle ABC with vertices at A(−4, −4), B(8, 8), C(2, 6) is dilated to create triangle A′B′C′ with vertices at A′(−2, −2), B′(4, 4), C′(1, 3). Determine the scale factor used. 2 one half 4 one fourth

Answers

Answer: It is similar to triangle ABC and has coordinates A′(8, −12), B′(4, −16), and C′(−20, 8)

Step-by-step explanation: Dilated triangles are never congruent, only similar (unless the dilation factor is exactly 1).

The coordinates of an image dilated about the origin are those of the pre-image multiplied by the dilation factor. For example,

 A' = 2A

 A'(8, -12) = 2×A(4, -6)

These facts are all you need to know to choose the correct answer (shown above).

Answer: 1/2

Step-by-step explanation:

I took the quiz!

Use the quadratic formula to solve for x.
2x²+2x-1=0

Answers

Answer:

The quadratic formula is:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation ax^2 + bx + c = 0.

In the equation 2x^2 + 2x - 1 = 0, we have:

a = 2

b = 2

c = -1

Substituting these values into the formula, we get:

x = (-2 ± sqrt(2^2 - 4(2)(-1))) / (2)(2)

Simplifying this expression, we get:

x = (-2 ± sqrt(4 + 8)) / 4

x = (-2 ± sqrt(12)) / 4

x = (-2 ± 2sqrt(3)) / 4

x = (-1 ± sqrt(3)) / 2

Therefore, the solutions to the equation 2x^2 + 2x - 1 = 0 are:

x = (-1 + sqrt(3)) / 2

x = (-1 - sqrt(3)) / 2

5. What is the perimeter of polygon XYDB?

Answers

option D 20  is correct answer .the perimeter of polygon XYDB is 20.

what is  polygon ?

A polygon is a closed geometric shape made up of straight line segments connected end-to-end. It is a two-dimensional figure that has three or more sides and angles. Polygons can be classified according to the number of sides

In the given question,

To find the perimeter of polygon XYDB, we need to add up the lengths of all its sides. Since all side lengths are given as 5, we can simply multiply 5 by the number of sides to get the perimeter.

Polygon XYDB has four sides, so the perimeter is:

Perimeter = 4 × 5 = 20

Therefore, the perimeter of polygon XYDB is 20.

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Answer:

D. 20 cm

Step-by-step explanation:

A coordinate plane with 2 lines drawn. The first line is labeled f(x) and passes through the points (0, negative 2) and (1, 1). The second line is labeled g(x) and passes through the points (negative 4, 0) and (0, 2). The lines intersect at about (2.5, 3.2)
How does the slope of g(x) compare to the slope of f(x)?

The slope of g(x) is the opposite of the slope of f(x).
The slope of g(x) is less than the slope of f(x).
The slope of g(x) is greater than the slope of f(x).
The slope of g(x) is equal to the slope of f(x)

Answers

Therefore, the correct answer is: The slope of g(x) is less than the slope of f(x).

Where do the X and Y axes intersect on the coordinate plane, at position 0 0?

The origin is the location where the two axes meet. On both the x- and y-axes, the origin is at 0. The coordinate plane is divided into four portions by the intersection of the x- and y-axes. The term "quadrant" refers to these four divisions.

We can use the slope formula to get the slopes of the lines f(x) and g(x):

slope of f(x) = (change in y)/(change in x) = (1 - (-2))/(1 - 0) = 3/1 = 3

slope of g(x) = (change in y)/(change in x) = (2 - 0)/(0 - (-4)) = 2/4 = 1/2

The slope of g(x) is 1/2, which is less than the slope of f(x), which is 3.

Therefore, the correct answer is: The slope of g(x) is less than the slope of f(x).

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h shows the cost of hosting a dance, c, as a function of the number of students attending, n.
What is a restriction on the domain?

Answers

The correct option C: the domain can contain only whole number for the function of the number of students attending  dance.

Explain about the domain of function;

The collection of all possible inputs for a function is its domain. Graphing and algebra are the two techniques used to determine a function's domain. Use the equation to consider inputs that would result in an undefined value, including such fractions and square roots, in order to obtain the domain algebraically. Decide where the function is graphed and note the x-values of the region(s) to locate it by graphing.

For the given question:

x axis - number of students attending dance classes n.

y axis - cost of hosting a dance

Domain - is the input value taken from x axis only.

So, all value lying on x axis ate taken as the domain for the function.

Thus,  the domain can contain only whole number for the function of the number of students attending dance classes.

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12. Higher Order Thinking If a clock face
reads 1:00, how many hours must pass for
the hands to form a straight angle?
own

Answers

Thus, Number of hours must pass for the hands to form a straight angle is 5 hours.

Explain about the hand of clock:

To read the time on an analogue clock, look in the direction its hands are pointing. The current hour is indicated by the smallest hand, the current minute by the largest hand, and the current second by the thinnest hand.

There are 24 hours in a day, and the hour hand completes two full rotations of the clock because the numbers on the dial only go up to 12. once, from noon to midnight, and once, from midnight to noon.

Given data:

Current time on clock = 1:00

Hour hand at 1 .

Minute hand at 12.

Number of hours must pass for the hands to form a straight angle:

When

minute hand is at 12 and hour hand will be at 6.

Number of hours = 6: 00 - 1: 00

Number of hours = 5 hours

Thus, Number of hours must pass for the hands to form a straight angle is 5 hours.

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How do I solve my problem?

Answers

Answer:

mAngleABC = 76°

Step-by-step explanation:

AD is a diameter. So arcAD is half of the circle, that's 180°.

arcCD = 28°

arcAC + arcCD = 180°

arcAC + 28° = 180°

subtract 28°

arcAC = 152°

AngleABC is an inscribed angle (vertex is on the circle) so AngleABC is half of arcAC.

AngleABC

= 152 ÷ 2

= 76

AngleABC = 76°

Triangle XYZ is drawn with vertices X(4, −5), Y(6, −1), Z(10, −8). Determine the line of reflection if Y′(−6, −1).

y-axis
x-axis
y = −1
x = 6

Answers

Answer:

To determine the line of reflection if the image of Y, Y′, is at (-6, -1), we need to find the perpendicular bisector of the line segment connecting Y and Y′. This perpendicular bisector will be the line of reflection.

The midpoint of the line segment YY′ is:

[(6 + (-6))/2, (-1 + (-1))/2] = (0, -1)

The slope of the line segment YY′ is:

(-1 - (-1))/(-6 - 6) = 0/(-12) = 0

Since the slope of YY′ is 0, the perpendicular bisector of YY′ is a vertical line passing through its midpoint (0, -1), which is the y-axis. Therefore, the line of reflection is the y-axis.

The width of the set of the shelves needs to be 5 times the height of the set of shelves and the set of shelves must have three shelves If there are 80 feet of wood to use to build the set of shelves what should the dimensions the set of shelves be?​

Answers

The dimensions of the set of shelves should be approximately 4.21 feet in height and 21.05 feet in width.

What is a linear equation?

When plotted on a coordinate plane, an algebraic equation known as a linear equation looks like a straight line. The variable (or variables) in this equation always have a greatest power of 1, making it a constant. In other words, a linear equation simply makes use of the fundamental operations of addition, subtraction, and multiplication of variables to the first power, as well as constants.

Given:

Width of the set of shelves = 5 times the height of the set of shelves

Number of shelves = 3

Total amount of wood available = 80 feet

Let's denote the height of the set of shelves as "h" and the width of the set of shelves as "w".

Using the first given information, we can write the equation:

Width (w) = 5 times the height (h) ==> w = 5h

Next, we know that the set of shelves has 3 shelves, so the number of shelves is fixed at 3.

Finally, we are given that we have 80 feet of wood available to build the shelves.

Using these equations, we can substitute w = 5h into the equation for the total amount of wood:

3w + 4h = 80

Substituting w = 5h, we get:

3(5h) + 4h = 80

15h + 4h = 80

19h = 80

h = 80/19

So, the height of the set of shelves is approximately 4.21 feet.

Now, substituting this value of h back into w = 5h, we get:

w = 5(4.21)

w = 21.05

So, the width of the set of shelves is approximately 21.05 feet.

Therefore, the dimensions of the set of shelves should be approximately 4.21 feet in height and 21.05 feet in width.

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Can someone please help me with this problem? I'm really struggling and the assignment is already late :(

Answers

The simplified exponential expression is given as follows:

[tex]21^6[/tex]

How to simplify the exponential expression?

The exponential expression in the context of this problem is defined as follows:

[tex]\frac{21^3 \times 21^5}{21^2}[/tex]

First we look at the numerator, when we have two terms with the same base and different exponents multiplying, we keep the base and add the exponents, hence:

21^3 x 21^5 = 21^8

Now we have the following division operation:

21^8/21^2.

When we have two terms with the same base and different exponents dividing themselves, we keep the base and subtract the exponents, hence:

21^(8 - 2) = 21^6.

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2. A non-Jewish woman meets with a Jewish counselor to seek guidance on dealing with he
future Jewish in-laws. The Jewish counselor has strong personal beliefs against interfaith
marriages. At the end of the third session, the counselor recommends that the client
reconsider marrying her fiancé.
Harmful use of bias?
Unharmful use of bias?

Answers

As the counselor recommends that the client reconsider marrying her fiancé based on his belief discretion, this is an example of harmful use of bias.

Why is the Scenario an example of harmful Bias?

The counselor's personal beliefs against interfaith marriages are influencing their professional advice, which can be harmful to the client's well-being and may even violate ethical guidelines for mental health professionals.

The counselor should provide unbiased and objective guidance to the client based on their specific needs and circumstances, rather than imposing their own beliefs or values onto the client's decision-making process.

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rewrite the equation in Ax +By = C. y -5 = 2(x - 1)

Answers



-2X + y = 3

y-5=2(x-1)
y=2x-2+5
-2x+y=3

I BEG U FOR HELP WILL GIVE BRAINLIEST PLLSSSS

Answers

Answer:

3,4,5 is the answer

Step-by-step explanation:

for the explanation using pythagoras theoem

[tex] {3}^{2} + {4}^{2} = {5 \\ }^{2} \\ 3 \times 3 + 4 \times 4 = 5 \times 5 \\ 9 + 16 = 25 \\ 25 = 25[/tex]

may you give me branliest as you promised

The answer is 25 hope it helps
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