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Mia is building a three-sided shelter for her action figures. The shelter will resemble a rectangle with one of the long sides removed. She has boards that measure 36 inches, 39 inches, and 42 inches in length; all the boards are the same width. Mia will need to convert some of these measurements into other imperial units to build the shelter the way she wants.

Mia will use one of these boards for the length of the shelter. She knows she wants the length of the shelter to measure 3.25 feet. She will use a different board for the width of the shelter. The width of the shelter will be shorter than the length.

Which board will Mia use for the length of the shelter, given that 1 foot = 12 inches?

What is the width of the shelter, measured in feet?

Mia needs to cut the third board to match the width of the shelter. How many feet of board will she need to cut off the existing board to reach this goal?

The required equivalent expression for y = ±√x is given as y² = x.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
y = ±√x

Squaring both sides

y² = [±√x]²
y² = x

Thus, the required equivalent expression for y = ±√x is given as y² = x.

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Since the given question is incomplete,
The complete question is, to determine the equivalent expression for y = ±√x.

Find the scale:

30 miles / 5miles = 6

Multiply km by the scale:

8 km x 6 = 48 km

The answer is 48 km

Answer: 48km

Step-by-step explanations:. It's just simple cross multiplication.

5miles----->8km

30miles---->?km

Answer is ( 30×8)÷5= 48km

The latest time for pickup, found by converting the 150 minutes maximum time provided by the school, from minutes to hours is about 5:45 pm

Minutes can be converted into hours by dividing the number of minutes by 60, which is the number of minutes in an hour.

The time that school ends = 3:15 pm

The latest time for pick up after school care = 150 minutes after school ends

Therefore, the latest time for pick up after school care = 3:15 pm + 150 minutes

60 minutes = 1 hour

150 minutes = (1/60) × 150 = 2.5

The latest for pick up = 3:15 pm + 2.5 hours = 5:45 pm

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Answer:

No

Step-by-step explanation:

1 Kilo = 1000 Grams. There are only 1837 Grams. This means that there is no way it is 2 kilos.

Answer:

35

Step-by-step explanation:

10-20=-10

-10+45=+ 35

Answer:35

Step-by-step explanation:10-20=-10+45=35

Answer:

−5/3y−3

Step-by-step explanation:

Combine like terms

The ordered rational numbers representing the gauge readings from least to greatest are 19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1.

To represent the gauge readings as rational numbers, we can express them as fractions with a common denominator.

Given readings:

25 psi pressure

13 psi vacuum

6.3 psi vacuum

7.8 psi vacuum

1.9 psi vacuum

2 psi pressure

7.8 psi pressure

Expressed as rational numbers with a common denominator:

25 psi = 25/1

13 psi = 13/1

6.3 psi = 63/10

7.8 psi = 78/10

1.9 psi = 19/10

2 psi = 2/1

7.8 psi = 78/10

Now, let's order these rational numbers from least to greatest:

1.9 psi = 19/10

6.3 psi = 63/10

7.8 psi = 78/10

7.8 psi = 78/10

13 psi = 13/1

25 psi = 25/1

2 psi = 2/1

Ordered from least to greatest:

19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1

Therefore, the ordered rational numbers representing the gauge readings from least to greatest are 19/10, 63/10, 78/10, 78/10, 13/1, 25/1, 2/1.

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Step-by-step explanation:

hope u like it plz follow and give thanks

Answer:

Rational Root Theorem

The product of the two matrices Q₁Q₂ is orthogonal

In linear algebra, an orthogonal matrix, or orthonormal matrix, is a real square matrix whose columns and rows are orthonormal vectors. ... {\displaystyle Q^{\mathrm {T} }Q=QQ^{\mathrm {T} }=I,} where QT is the transpose of Q and I is the identity matrix.

It is said to be an orthogonal matrix if its transpose is equal to its inverse matrix, or when the product of a square matrix and its transpose gives an identity matrix of the same order.

If A is an n*n orthogonal matric, then A*A¹ = A¹*A

Therefore A*A¹ = A¹*A  = 1

This implies that the product Q₁O₂ is orthogonal.

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Answer:

to get to 140$ you need to get 10 plates  

Step-by-step explanation:

65$

7.5 x 10 =75

75+65=140.

The complete values for the table of values associated with a line equation are listed below:

x = 0, y = - 2

x = 1, y = - 3 / 2

x = 2, y = - 1

x = 3, y = - 1 / 2

x = 4, y = 0

x = 5, y = 1 / 2

In this problem we need to fill the table of values associated with a line equation. Line equations are defined by following formulas:

y = m · x + b

Where:

First, we proceed to determine the line equation:

(x₁, y₁) = (4, 0)

0 = 4 · m + b

(x₂, y₂) = (0, - 2)

- 2 = b

0 = 4 · m - 2

2 = 4 · m

m = 1 / 2

y = (1 / 2) · x - 2

Second, complete the table of values:

x = 0, y = - 2

x = 1, y = - 3 / 2

x = 2, y = - 1

x = 3, y = - 1 / 2

x = 4, y = 0

x = 5, y = 1 / 2

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Answer:

(2n + 1)[(2n + 1) � 1]

(2n + 1)(2n + 1 � 1)

(2n + 1)(2n), or 2n(2n + 1)

2n is an EVEN NUMBER, and adding 1 to an even number creates an ODD number

Therefore, 2n(2n+1)=EVEN NUMBER ODD NUMBER=EVEN NUMBER

Step-by-step explanation:

Answer:

5/12

Step-by-step explanation:

I used an online fraction calculator.

Answer:

GIVE ME MY RAMEN

Step-by-step explanation:

3.

add like terms

30 + 7k = 100

100-30 = 70

70 divided by 7k = 10

k = 10

4. add the z's together

2z - 6 -2 = -10

+ 6 + 2

-10 will be -2 now since we dragged the -6 and -2 to the other side

2z = -2

z = -1

5. 3.2x - 1.7x = 1.5x

1.5x + 5.5 = 10

10 would be 4.5 since we dragged 5.5 to the other side so it would be 10 - 5.5

3.2x = 5.5

x = 1.71875

6.

3/4x - 1/4x = 2/4x

14 - 3 = 11

2/4x = 11

x = 22

Based on the provided information of speed, A) Beth gets to San Francisco first. B) The first to arrive has to wait for 20 minutes for the second to arrive.

A) To find out who gets to San Francisco first, we need to calculate the time it takes for each of them to travel the distance of 400 miles.

For Brian, we use the formula time = distance / speed:

time = 400 miles / 50 mph = 8 hours

So Brian will arrive in San Francisco at 4:00 p.m. (8:00 a.m. + 8 hours).

For Beth, we use the same formula:

time = 400 miles / 60 mph = 6.67 hours

So Beth will arrive in San Francisco at 3:40 p.m. (9:00 a.m. + 6.67 hours).

Therefore, Beth gets to San Francisco first.

B) To find out how long the first to arrive has to wait for the second, we subtract the arrival time of the first from the arrival time of the second:

wait time = 4:00 p.m. - 3:40 p.m. = 0.33 hours = 20 minutes

So the first to arrive has to wait for 20 minutes for the second to arrive.

Note: The question is incomplete. The complete question probably is: Brian leaves Los Angeles at 8:00 a.m. to drive to San Francisco, 400 miles away. He travels at a steady speed of 50 mph. Beth leaves Los Angeles at 9:00 a.m. and drives at a steady speed of 60 mph. A) Who gets to San Francisco first? B) How long does the first to arrive have to wait for the second?

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we can infer that the firm is currently maximizing its profit. Option (b), "the firm is currently maximizing its profit," is the most appropriate inference from the provided data.

To determine whether the firm is maximizing its profit, we need to analyze the relationship between marginal revenue (MR), marginal cost (MC), and price. In a monopolistically competitive market, firms aim to maximize their profit by producing at a level of output where MR equals MC.

From the information provided, we know that the firm's marginal revenue is equal to $15 and marginal cost is also equal to $15. This indicates that the firm is producing at the level where its marginal revenue equals its marginal cost, which is a characteristic of profit maximization.

Additionally, we are told that the firm is charging the highest price it can at $30. This means that the firm is able to set its price above its average total cost, resulting in a positive difference between price and average total cost, known as economic profit.

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Answer:

27cm

Step-by-step explanation:

so you are dumb for not nowing it

\(24.9^{\circ}\) and \(65.1^{\circ}\)

Recall that Angles that are complementary to each other add up to \(90^{\circ}\).

Let \(a\) be the measure of the complementary angle.

If an angle is \(40.2^{\circ}\) more than its complementary angle, the measure of that angle is \(a +40.2\). The sum of both angles are expressed \(a +(a +40.2)\) but since the have to add to \(90\) as they are complementary, \(a +(a +40.2) = 90\).

Solving for \(a\):

\(a +(a +40.2) = 90 \\ a +a +40.2 = 90 \\ 2a +40.2 = 90 \\ 2a +40.2 -40.2 = 90 -40.2 \\ 2a = 49.8 \\ \frac{2a}{2} = \frac{49.8}{2} \\ a = 24.9\)

Since the other angle measures \(a +40.2\), we can plug in the value of \(a\) to find the measure of the angle.

Evaluating \(a +40.2\):

\(a +40.2 \\ 24.9 +40.2 \\ 65.1\)

The measure of the angles are \(24.9^{\circ}\) and \(65.1^{\circ}\)

Two functions f and g are given. The solution for \(f(x)=g(x)\) is -4.

Given:

The given functions are:

\(f(x)=-4x-3\\ g(x)=-3x+1\)

It is required to get the value of x for which f(x) is equal to g(x).

So, the value of x can be calculated as,

\(f(x)=g(x)\\ -4x-3=-3x+1\\ -x=4\\ x=-4\)

So, at \(x=-4\) the functions will be equal.

Therefore, the solution for \(f(x)=g(x)\) is -4.

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Answer:

x =(-8+√464)/-8=1-1/2√ 29 = -1.693

Step-by-step explanation:

Answer:

6,12,18,24,36,42,48,5,60,66,72,78,84,90,96

Step-by-step explanation:

got a friend help

Answer:

SORRY I DON'T KNOW THE ANSWER BUT I LOVE YOUR PROFILE PICTURE LUFFY IS THE BEST <3 :D

The value of x  for The quadrilateral which is a trapezoid is if the top is 21 and the bottom is 27 is option 2 that is 5.

Quadrilaterals called trapezoids have two parallel and two non-parallel sides. It also goes by the name Trapezium. A trapezoid is a closed, four-sided form or figure that has a perimeter and covers a specific area. It is a 2D figure rather than a 3D one. The bases of the trapezoid are the sides that are parallel to one another. Legs or lateral sides refer to the non-parallel sides. The height is the separation between the parallel sides.

From the given diagram, the expression below is true:

2(5x - 1) = 21 + 27

Expand

10x - 2 = 48

10x = 48 + 2

10x = 50

Divide both sides by 10

10x.10 = 50/10

x = 5

Hence the value of x is 5

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An equation is formed when two equal expressions. Ms. Kilicoglu will buy 20 volleyballs and 25 basketballs.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let x be the number of volleyballs and y be the number of basketballs. Therefore, the total number of balls can be written as,

x + y = 45

x = 45 - y

Each volleyball costs $8 and each basketball costs $11. Also, Ms. Kilicoglu has only $435, therefore,

8x + 11y = 435

8(45 - y) + 11y = 435

360 - 8y + 11y = 435

3y = 75

y = 25

Substitute the value of y in the first equation,

x + y = 45

x + 25 = 45

x = 20

Hence, Ms. Kilicoglu will buy 20 volleyballs and 25 basketballs.

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Answer: To find the discount, simply multiply the original selling price by the %discount:

ie:  39 x 33/100= $12.87

So, the discount is $12.87.

Step-by-step explanation: To find the sale price, simply minus the discount from the original selling price:

ie: 39- 12. 87=  26.13

So, the sale price is $26.13

The translation of circle A to circle B is achieved using the translation rule

The scale factor of Circle A to Circle B is 2

In geometry, translation refers to a transformation that moves an object in a straight line without changing its size, shape, or orientation.

This movement is done by sliding the object along a line, which is called the axis of the translation.

The scale factor is solved by comparing the diameter

Circle A has diameter of 2 units

Circle B has diameter of 4 units

let the scale factor be k

diameter of circle A * k = diameter of circle B

2 * k = 4

k = 4 / 2

k = 2

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