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xz_007 [3.2K]
3 years ago
9

Find the value of x​

Mathematics
1 answer:
olasank [31]3 years ago
7 0

Answer:

3

Step-by-step explanation:

As triangle ABC is an isosceles triangle, 5x+7=22:

  • 5x+7=22
  • 5x=15
  • x=3
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32/160 as a simplified fraction someone help coz I'm clueless with fractions
omeli [17]

32÷2/160÷2

=16÷2/80÷2

8÷2/40÷2

4÷2/20÷2

2÷2/10÷2

1/5

4 0
3 years ago
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William and Debra Pierce are celebrating their 20th anniversary by having a reception at a local reception hall. They have budge
erica [24]

The greatest number of people that William and Debra may invite and still stay within their budget is 63.

<h3>What is an equation?</h3>

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

Since William and Debra have budgeted $2,500 for their reception. Therefore, their total expenses should be equal to the total expenses in the reception.

Budget = Total expenses

Budget = Reception hall Cleanup charge + $38 per person fee

Let the number of people invited to the party be represented by x,

$2,500 = $100 + $38(x)

2500 = 100 + 38x

2500 - 100 = 38x

2400 = 38x

x = 2400 / 38

x = 63.157 ≈ 63

Hence, the greatest number of people that William and Debra may invite and still stay within their budget is 63.

Learn more about Equation here:

brainly.com/question/14686792

#SPJ1

5 0
2 years ago
Factor the expression using the two different techniques listed for Parts 1(a) and 1(b).
Natalija [7]

Answer:

9a^4 b^10(2 +3a^6 b^5)  (2 -3a^6 b^5)

see work below

Step-by-step explanation:

36a^4b^10 - 81a^16b^20

A)  find the GCF

36a^4b^10 = 4*9 a^4b^10  = 2*2*3*3 a*a*a*a*b*b*b*b*b*b*b*b*b*b

81a^16b^20= 9*9a^16b^20= 3*3*3*3* a*a*a*a*a*a*a*a*a*a*a*a*a*a*a*a                *b*b*b*b*b*b*b*b*b*b*b*b*b*b*b*b*b*b*b*b

The terms that appear in both terms is the GCF.  The terms that remain are inside the parentheses.

The GCF is 3*3 a*a*a*a*b*b*b*b*b*b*b*b*b*b

36a^4b^10 - 81a^16b^20 = 3*3 a*a*a*a*b*b*b*b*b*b*b*b*b*b *

( 2*2 - 3*3a*a*a*a*a*a*a*a*a*a*a*a b*b*b*b*b*b*b*b*b*b)

Combining like terms

36a^4b^10 - 81a^16b^20 = 9a^4b^10(4-9a^12b^10)

The expression inside the parenthesis can be factored using the difference of squares

let x^2 =4   x =2  

y^2 = 9a^12 b^10   y = 3a^6b^5

(x^2 -y^2) = (x+y)(x-y)

9a^4b^10(4-9a^12b^10) = 9a^4b^10 ( 2+3a^6b^5) ( 2-3a^6b^5)

b) difference of squares  a^2 – b^2 = (a + b)(a – b)

let a^2 = 36a^4b^10

so a = 6a^2b^5

b^2 = 81a^16b^20

b = 9a^8 b^10

a^2 – b^2 = (a + b)(a – b)

36a^4b^10 - 81a^16b^20 = (6a^2b^5 +9a^8 b^10) (6a^2b^5 -9a^8 b^10)

We can factor a 3 a^2 b^5 out of the first term

3 a^2 b^5 (2 +3a^6 b^5) (6a^2b^5 -9a^8 b^10)

3 a^2 b^5 (2 +3a^6 b^5) 3 a^2 b^5 (2 -3a^6 b^5)

Multiply the terms outside the parentheses together

9a^4 b^10(2 +3a^6 b^5)  (2 -3a^6 b^5)

4 0
3 years ago
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Graph the compound inequality on the number line.
taurus [48]

Answer:

(closed circle on 6)————>

<—————(open circle on -1)

Step-by-step explanation:

7 0
3 years ago
3X + 8 - X = 4 - 2X + 32 find x
avanturin [10]

Answer: X=7

Step-by-step explanation:Let's solve your equation step-by-step.

3x+8−x=4−2x+32

Step 1: Simplify both sides of the equation.

3x+8−x=4−2x+32

3x+8+−x=4+−2x+32

(3x+−x)+(8)=(−2x)+(4+32)(Combine Like Terms)

2x+8=−2x+36

2x+8=−2x+36

Step 2: Add 2x to both sides.

2x+8+2x=−2x+36+2x

4x+8=36

Step 3: Subtract 8 from both sides.

4x+8−8=36−8

4x=28

Step 4: Divide both sides by 4.

4x =28

4x/4=x 28/4

=

28 /4=7

4 0
3 years ago
Read 2 more answers
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