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tester [92]
1 year ago
14

Solve for x. 7/8(−32−48x)+36 =2/3(−33x−18)−10x

Mathematics
2 answers:
Aleksandr [31]1 year ago
5 0

Isolate the variable by dividing each side by factors that don't contain the variable.

x  =  2

emmainna [20.7K]1 year ago
5 0

Answer:

x=2

Step-by-step explanation:

7/8(-32)-7/8(48x)+36=2/3(-33x)-2/3(18)-10x  

= -224/8-336x/8+36

=-66x/3-36/3-10x.  

Simplifying the fractions

-28-42x+36=-22x-12-10x.  

Combining like terms

-42x+8=-32x-12.  

Add 32x to both sides:  

-42x+8+32x=-32x-12+32x

-10x+8=-12.  

Subtract 8 from both sides:  

-10x+8-8=-12-8

-10x=-20.  

Divide both sides by -10:  

-10x/-10 = -20/-10

x=2.

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Answer:

He earned $114 in interest.

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Step-by-step explanation:

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Interest rate (i): 0.05

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6 0
1 year ago
The equation y=2x represents a set of data. Which statement is not true?
Sonja [21]

Answer:

Option D is correct

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Step-by-step explanation:

The equation of line passes through the origin is represented by:

y = mx where m is the slope or unit rate .

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if y \propto x then the equation of the form is y = kx where k is the constant of proportionality.

Given the equation: y = 2x

Then by definition:

m = 2

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7 0
2 years ago
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Solve the given initial value problem and determine how the interval in which the solution exists depends on the initial value y
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Answer:

y has a finite solution for any value y_0 ≠ 0.

Step-by-step explanation:

Given the differential equation

y' + y³ = 0

We can rewrite this as

dy/dx + y³ = 0

Multiplying through by dx

dy + y³dx = 0

Divide through by y³, we have

dy/y³ + dx = 0

dy/y³ = -dx

Integrating both sides

-1/(2y²) = - x + c

Multiplying through by -1, we have

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For y_0 = 0, the solution has an expression 1/0, which makes the solution infinite.

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8 0
2 years ago
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using the FOIL method

6 0
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