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mart [117]
3 years ago
12

What value of x is in the solution set of 2x – 3 > 11 – 5x?

Mathematics
2 answers:
My name is Ann [436]3 years ago
8 0
2x-3>11-5x
7x-3>11
7x>14
x>2
Alla [95]3 years ago
5 0

2x-3>11-5x

Simplify both sides of the equation

2x-3>-5x+11

Add 5x to both sides

2x-3+5x>-5x+11+5x

7x-3>11

Add 3 to both sides

7x-3+3>11+3

7x>14

Divide both sides by 7

7x/7>14/7

x>2


I hope that's help !

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Highschool level trigonometry!!! Need help knowing step by step how to find answer!
Goshia [24]

Answer:

\theta \approx 82.34^\circ

Step-by-step explanation:

Please refer to the attached diagram. (Apologies if the shading or resolution is a bit off.)

So, we want to find θ.

Since we formed a right triangle, we can use right triangle ratios.

We know the measure of the adjacent side to θ and the hypotenuse.

Therefore, we will use the cosine ratio:

\displaystyle \cos(\theta)=\frac{\text{adjacent}}{\text{hypotenuse}}

The adjacent side is 2 and the hypotenuse is 15. By substitution:

\displaystyle \cos(\theta)=\frac{2}{15}

Now, we will take the inverse cosine of both sides. So:

\displaystyle \theta=\cos^{-1}\Big(\frac{2}{15}\Big)

Use a calculator. Hence:

\theta \approx 82.34^\circ

The angle between the ground and the ladder is about 82.34°.

5 0
2 years ago
What equation results from completing the square and factoring x2+2×=9
Arturiano [62]
The answer should be A. If you need work I can show you. 
5 0
2 years ago
Justin did push-ups for the past 5 days. The following data points are the number of push-ups he did each day.
irga5000 [103]

Answer:

2.67

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
find the slope between each pair of points please help with these three questions and i’ll mark the brain thing !
madam [21]

(If It's a number like this: 8/9 then it's a fraction)

Answer:

<h2><em><u>9. -2/6</u></em></h2><h2><em><u>10. -6/-10</u></em></h2><h2><em><u>11. 3/4</u></em></h2>

Step-by-step explanation:

Yay, I love doing these!

9.} 6 - 8 and 4- -2= -2/6

10.} 3 - 9 and -1 - 9= -6/-10

11.} -1 - -7 and 5 - -3= 6/8 simplify it by 2= 3/4

5 0
3 years ago
30 years ago zoe was 2/3 as old as luke, 18 years ago zoe was 5/6 as old as luke how old are they now
barxatty [35]

Based on the mathematical statements, Zoe is 56 years old and Luke is 66 years old, now

<h3>How to determine how old they are now?</h3>

From the question, we have the following statements that can be used in our computation:

<u>30 years ago</u>

Zoe was 2/3 as old as Luke

<u>18 years ago</u>

Zoe was 5/6 as old as Luke

Let their present ages be represented as

Zoe = x

Luke = y

So, we have the following representations

<u>30 years ago</u>

Zoe was 2/3 as old as Luke

x - 36 = 2/3(y - 36)

<u>18 years ago</u>

Zoe was 5/6 as old as Luke

x - 18 = 5/6(y - 18)

So, we have the following system of equations

x - 36 = 2/3(y - 36)

x - 18 = 5/6(y - 18)

Make x the subject in x - 18 = 5/6(y - 18)

x = 5/6(y - 18) + 16

Substitute x = 5/6(y - 18) + 16 in x - 36 = 2/3(y - 36)

5/6(y - 18) + 16 - 36 = 2/3(y - 36)

Open the brackets

5/6y - 15 + 16 - 36 = 2/3y - 24

Evaluate the like terms

5/6y - 35 = 2/3y - 24

Multiply through by 6

5y - 210 = 4y - 144

Evaluate the like terms

y = 66

Substitute y = 66 in x = 5/6(y - 18) + 16

x = 5/6(66 - 18) + 16

Evaluate

x = 56

Recall that

Zoe = x

Luke = y

So, we have

Zoe = x = 56

Luke = y = 66

Hence, they are 56 and 66 years, now

Read more about equations at

brainly.com/question/2476251

#SPJ1

5 0
9 months ago
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