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IgorC [24]
3 years ago
6

How do you do these math problem for exploring of algebra?

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
4 0

x=4

Step-by-step explanation:

4(-6+5x)=24+8x

open the bracket

-24+20x=24+8x

collect like terms

20x-8x=24+24

12x=48

divide both sides by 12

12x/12 = 48/12

x= 4

-7+7n=2(-7+7n)

open the brackets

-7+7n=-14+14n

collect like terms

14n-7n=-14+7

7n=-7

divide through by 7

n=-1

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Which equation represents a line which is perpendicular to the line 2x + y = -5?
Gnesinka [82]

Step-by-step explanation:

Given expression;

   2x + y  = -5;

  The given equation must be written in a form where the slope is the negative inverse of the given one.

A line perpendicular to another will have a negative inverse slope.

   2x + y  = -5

  Equation of a straight line is generally written as;

       y  = mx + c

y and x are the coordinates

m is the slope

c is y - intercept

          2x + y  = -5

                 y  = -2x -5

 The slope of the perpendicular = \frac{1}{2}

So,

the new line;

            y  =  \frac{1}{2}x  -5

Any line with slope of  \frac{1}{2} will be perpendicular

7 0
3 years ago
Please help right away.
Travka [436]

\sum\limits_{k=1}^{\infty}420\left(\dfrac{1}{6}\right)^{k-1}

The infinite geometric series is converges if |r| < 1.

We have r=1/6 < 1, therefore our infinite geometric series is converges.

The sum S of an infinite geometric series with |r| < 1 is given by the formula :

S=\dfrac{a_1}{1-r}

We have:

a_1=420\left(\dfrac{1}{6}\right)^{1-1}=420\left(\dfrac{1}{6}\right)^0=420\\\\r=\dfrac{1}{6}

substitute:

S=\dfrac{420}{1-\frac{1}{6}}=\dfrac{420}{\frac{5}{6}}=420\cdot\dfrac{6}{5}=84\cdot6=504

Answer: d. Converges, 504.

8 0
3 years ago
A delivery truck is transporting boxes of two sizes: large and small. the combined weight of a large box and a small box is 60 p
sdas [7]

Let a = weight of large box in pounds

Let b = weight of small box in pounds

(1) 65a + 70b=4000

(2) a+b=60

Now we can simultaneously solve these equations.

a = 60 - b. Hence 65(60 - b) + 70b = 4000 So 3900 + 5b = 4000 and 100 = 5b hence b = 20.

SImilarly a = 40. Now we can verify too by putting in the calculated values.

5 0
3 years ago
Open the picture and answer it pls
Nastasia [14]

Answer:

3.5

Step-by-step explanation:

11.5 - 2.5 = 9

9 - 5.5 = 3.5

and scalene triange means none of the 3 sides are equal...

3.5 does not equal 5.5 or 2.5

3 0
3 years ago
Read 2 more answers
A rectangular box is to have a square base and a volume of 20 ft3. If the material for the base costs $0.30 per square foot, the
fomenos

Answer:

Step-by-step explanation:

Im sorry i dont really know ur anwer.  Hope someone else can help you.

8 0
3 years ago
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