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kodGreya [7K]
3 years ago
10

Solve equation 3x-8(2x+3)= -6(2x+5)

Mathematics
2 answers:
ICE Princess25 [194]3 years ago
5 0

Answer:

x = 6

Step-by-step explanation:

pshichka [43]3 years ago
3 0

Answer:

x =6

Step-by-step explanation:

3x-8(2x+3)= -6(2x+5)\\\\\mathrm{Expand}\:-8\left(2x+3\right):\quad -16x-24\\3x-16x-24=-6\left(2x+5\right)\\\\\mathrm{Add\:similar\:elements:}\:3x-16x=-13x\\-13x-24=-6\left(2x+5\right)\\\\\mathrm{Expand\:}-6\left(2x+5\right):\quad -12x-30\\-13x-24=-12x-30\\\\\mathrm{Add\:}24\mathrm{\:to\:both\:sides}\\-13x-24+24=-12x-30+24\\\\Simplify\\-13x=-12x-6\\\\\mathrm{Add\:}12x\mathrm{\:to\:both\:sides}\\-13x+12x=-12x-6+12x\\\\Simplify\\-x=-6\\\\\mathrm{Divide\:both\:sides\:by\:}-1\\

\frac{-x}{-1}=\frac{-6}{-1}\\\\Simplify\\\\x =6

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The area of a circle is 77.28m2.<br> Find the length of the diameter rounded to 1 DP.
allochka39001 [22]

Answer:diameter=9.92m

Step-by-step explanation:

Area=77.28

π=3.14

Area=π x (d/2)^2

77.28=3.14 x (d/2)^2

Divide both sides by 3.14

77.28/3.14=(3.14x(d/2)^2)/3.14

24.6=(d/2)^2

Take them square root of both sides we get

d/2=√(24.6)

d/2=4.96

d=4.96 x 2

d=9.92

4 0
3 years ago
If two sweaters and four shirts cost $150, and four sweaters and three shirts cost $200, find the price of each shirt and each s
STALIN [3.7K]

Answer:

shirt = $20

sweater = $35

Step-by-step explanation:

This question would be solved using simultaneous equation

Let the price of sweater be represented by a

Let the price of shirt be represented by b

The following equations can be derived from the question

2a + 4b = 150   equation 1

4a + 3b = 200   equation 2

Multiply equation 1 by 2

4a + 8b = 300    equation 3

Subtract equation 2 from 3

5b = 100

divide both sides of the equation by 5

b = 20

substitute for b in equation 1

2a + 4(20) = 150

2a + 80 = 150

collect like terms

2a = 150 - 80

2a = 70

divide both sides by 2

a = 35

Price of sweater = $35

Price of shirt = $20

4 0
3 years ago
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vredina [299]
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3 years ago
If a polygon is a regular pentagon, then it has 5 sides.
mina [271]
If a polygon has 5 sides, then it is a regular pentagon
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4 years ago
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Jamal hiked on two trails. The first trail was 7 1/3 miles long, and the second trail was 1 9/11 times as long as the first trai
algol [13]

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Answer:

  20 2/3 miles

Step-by-step explanation:

Altogether Jamal hiked 1 + 1 9/11 times the length of the first trail:

  (2 9/11)(7 1/3) = (31/11)(22/3) = 62/3 = 20 2/3

Jamal hiked 20 2/3 miles.

7 0
3 years ago
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