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Viktor [21]
3 years ago
11

What is the solution to the equation

Mathematics
2 answers:
Elis [28]3 years ago
8 0

Answer:

x = -13

Step-by-step explanation:

Distribute:

8 - 6x + 10x - 15 = 20 - 5x

Combine like terms:

4x - 7 = 20 - 5x

Isolate Variable

-x = 13

-1(-x) = -1(13)

x = -13

Montano1993 [528]3 years ago
8 0

Answer: x=3

Step-by-step explanation:

You need to apply Distributive property on the left side of the equation:

2(4-3x)+5(2x-3)=20-5x\\\\8-6x+10x-15=20-5x

Now you must add the like terms on the left side of the equation:

-7+4x=20-5x

Add 5x to both sides:

-7+4x+5x=20-5x+5x\\\\-7+9x=20

Add 7 to boht sides of the equation:

-7+9x+7=20+7\\\\9x=27

And finally, divide both sides by 9:

\frac{9x}{9}=\frac{27}{9}\\\\x=3

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What’s the percent of change?<br> Original: 25<br> New: 18
soldier1979 [14.2K]

28% decrease

Solution:

Calculate percentage change

from V1 = 25 to V2 = 18

(V2−V1)|V1|×100

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3 years ago
SOMEONE PLEASE HELP MEEE!!!! HOW DO YOU DO THIS
UkoKoshka [18]

Answer:

A. 162 m²

Step-by-step explanation:

==>Given:

Isosceles trapezoid with:

base a = 19m

base b = 35m

Perimeter = 74meters

==>Required:

Area of trapezoid

==>Solution:

Recall: the length of the legs of an isosceles trapezoid are equal.

Perimeter of isosceles trapezoid = sum of the parallel sides + 2(length of a leg of the trapezoid)

Let l = leg of trapezoid.

Perimeter = 74m

Sum of parallel sides = a+b = 19+35 = 54m

Thus,

74 = 54 + 2(l)

74 - 54 = 2(l)

20 = 2(l)

l = 20/2 = 10m

Let's find area:

Area = ½(a+b)*h

a = 19

b = 35

h = ?

Using Pythagorean theorem, let's find h as follows:

h² = l² - [(35-19)/2)²

h² = 10² - [16/2]²

h² = 100 - 64

h² = 36

h = √36 = 6m

Area = ½ x (a+b) × h

= ½ × (19+35) × 6

= ½ × 54 × 6

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3 years ago
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Romashka-Z-Leto [24]

Answer:

<em>The probability that it is grape juice, given that the juice is not sugar free is </em><em>0.769 or 76.9%</em>

Step-by-step explanation:

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A cooler has 12 apple juices and 15 grape juices. So total 27 juices are there.

Out of 12 apple juices, 9 of the apple juices are sugar free, so 3 are not sugar free.

Out of 15 grape juices, 5 of the grape juices are sugar free, so 10 are not sugar free. So,

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Putting the values,

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3 years ago
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