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3 years ago

Solve each of the following equations. |3x−4(x+1)|=2

Mathematics

1 answer:

kramer3 years ago

7 0

Answer:

-2, -6

Step-by-step explanation:

|3x−4(x+1)|=2

|3x - 4x - 4| = 2

|-x - 4| = 2

-x - 4 = 2

-x = 6

x = -6

-x - 4 = -2

-x = 2

x = -2

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wlad13 [49]

The answer is 9/10

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4 years ago

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4 (-3x - 1) = 13x + 6

GarryVolchara [31]

Answer:

x=-2/5

Step-by-step explanation:

4(-3x-1)=13x+6 ~ Distribute the 4 into the parenthesis

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3 years ago

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Solve for n, please i would really appreciate it :)

Lelu [443]

Answer:

Step-by-step explanation:

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6 0

3 years ago

A boat in still water is 32 mph. If the boat travels 72 miles upstream in the same time that it takes to travel 120 miles downst

dalvyx [7]

Dup= 72 miles
ddown= 120 miles 
v= riverspeed 
rup= 32mph - v 
rdown= 32mph + v 
t both ways= t 

d=r*t 
d/r=t 

t=ddown/rdown 
t=dup/rup 

dup/rup = ddown/rdown 

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8 0

3 years ago

phyllis invested 66000 dollars, a portion earning simple interest rate of 5% per year and the rest earning a rate of 7% per year

Lelechka [254]

Answer:

Physliis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

Solution:

Let Phyllis invest ‘x’ dollar at 5% per year and (66000-x) dollar at 7% per year.

We know,

$\text { Simple interest }=\frac{\text {Principal} \times r a t e \times T i m e}{100}$

In the question it is given that Simple interest earned from both the investments at the end of the year is $3980.

Using the given below equation, we will try to find out the investments at each rate.

$\begin{array}{l}{\frac{x \times 5 \times 1}{100}+\frac{(66000-x) \times 7 \times 1}{100}=3980} \\\\ {\frac{5 x}{100}+\frac{462000-7 x}{100}=3980} \\\\ {\frac{5 x+462000-7 x}{100}=3980} \\\\ {-2 \mathrm{x}+462000=3980 \times 100} \\\\ {-2 \mathrm{x}=398000-462000} \\\\ {-2 \mathrm{x}=-64000} \\\\ {\mathrm{x}=\frac{-64000}{-2}}\end{array}$

x = 32000

We can calculate amount for 7% interest rate by,

(66000-32000) =34000

Thus Phyllis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

8 0

3 years ago