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Galina-37 [17]
3 years ago
5

Catherine has $54. She plans to spend more than $20 of the money for a painting canvas. The rest will go toward paints. Each tub

e of paint costs $8.50. Assume that x represents the number of tubes of paint Catherine can buy
The inequality that represents this scenario is
1. 8.5x +20>54
2. 8.5x-20<54
3. 54-8.5x<20
4. 54- 8.5x>20
Mathematics
2 answers:
kakasveta [241]3 years ago
8 0

Answer:

4. 54- 8.5x>20

Step-by-step explanation:

Catherine only has $54, so she cannot spend more than that.

The canvas will cost at least $20, but we don't know how much exactly.

The tubes cost $8.50 each.

So, she starts with a total budget of $54, out of which she will buy paints (8.5x) and she wants to have at least $20 left for canvas.

So, we transpose those facts into the inequity:

54 - 8.5x > 20

s344n2d4d5 [400]3 years ago
8 0

Answer:

Opcion 4

54- 8.5x>20

Step-by-step explanation:

We must identify the quantities.

<u><em>Painting canvas </em></u>

more than $ 20

<u><em>Paint tubes (x): </em></u>

$ 8.50 per tube = 8.50x

<u><em>Available money: </em></u>

$ 54

Then the expenses must not exceed $ 54, and the budget for the painting canvas must be greater than $ 20

The money after buying the paint tubes is:

54-8.50x

We know that this amount must be greater than $ 20 because you need to buy the painting canvas. So  the inequality is:

54-8.50x> 20

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The rectangular bar is connected to the support bracket with a 10-mm-diameter pin. The bar width is w = 70 mm and the bar thickn
german

Answer:

P_max = 9.032 KN

Step-by-step explanation:

Given:

- Bar width and each side of bracket w = 70 mm

- Bar thickness and each side of bracket t = 20 mm

- Pin diameter d = 10 mm

- Average allowable bearing stress of (Bar and Bracket) T = 120 MPa

- Average allowable shear stress of pin S = 115 MPa

Find:

The maximum force P that the structure can support.

Solution:

- Bearing Stress in bar:

                                       T = P / A

                                       P = T*A

                                       P = (120) * (0.07*0.02)

                                       P = 168 KN

- Shear stress in pin:

                                        S = P / A

                                        P = S*A

                                        P = (115)*pi*(0.01)^2 / 4

                                        P = 9.032 KN

- Bearing Stress in each bracket:

                                       T = P / 2*A

                                       P = T*A*2

                                       P = 2*(120) * (0.07*0.02)

                                       P = 336 KN

- The maximum force P that this structure can support:

                                      P_max = min (168 , 9.032 , 336)

                                      P_max = 9.032 KN

3 0
3 years ago
Please Help I Don't Understand.
lyudmila [28]

BE and CD are parallel, so the triangles ABE and ACD are similar. Then the following relation holds:

AE/AD = AB/AC

10/(10 + 8) = x/(x + 6)

Solve for x :

10 (x + 6) = x (10 + 8)

10x + 60 = 18x

8x = 60

x = 60/8 = 7/5

6 0
2 years ago
12×2+7x=<br>I need help understanding why the x is there
posledela
12*2+7(x) you need to solve for x
8 0
2 years ago
Which two answers are correct ?
notsponge [240]

Answer:

Choice A) x and f(x) approach negative infinity

Choice D) x and f(x) approach positive infinity

Step-by-step explanation:

A cubic curve starts low and ends high if the leading coefficient is positive, which in this case it is. This means that the left side of the graph falls while the right side rises. Your teacher might say something like "fall to the left, rise to the right" to describe what the end behavior is doing.

More formally "fall to the left" means that as x approaches negative infinity, y = f(x) is approaching negative infinity as well. Similarly, "rise to the right" indicates that as x approaches infinity, y = f(x) heads off to infinity as well. Both x and y = f(x) move in the same direction along their respective number lines; eg, if one goes in the negative direction, then so does the other.

The graph below confirms the answer visually.

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What is the domain of the functions below: b y= 5x/|x−1| −1
sdas [7]

Answer:

<h2>DOMAIN: The set of all real numbers except 0</h2>

\large\boxed{x\in\mathbb{R}-\{0\}}

Step-by-step explanation:

We have a faction.

We know: the denominator must be different from 0. Therefore

y=\dfrac{5x}{|x-1|}-1\Rightarrow |x-1|\neq0\iff x-1\neq0\iff x\neq1

4 0
3 years ago
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