All categories

3 years ago

Solve the equation: .2x(.7x-5)+0.2=1.4(x-1.6)

Mathematics

2 answers:

Ilia_Sergeevich [38]3 years ago

6 0

9514 1404 393

Answer:

x = 8/7

Step-by-step explanation:

.2(.7x-5)+0.2=1.4(x-1.6) . . . . given

Eliminating parentheses, we have ...

0.14x -1 +0.2 = 1.4x -2.24

1.44 = 1.26x . . . . . . . add 2.24-0.14x to both sides

x = 1.44/1.26 . . . . . . divide by the coefficient of x

x = 8/7 . . . . . . . . . . .simplify the fraction

As a repeating decimal, the value of x is ...

$x=1.\overline{142857}$

However, the notation 1.(142857) is usually reserved for the case where the contents of parentheses are being multiplied by the factor in front. You would need to consult your instructions to see how the decimal version of the answer should be entered. (Quite often, rounding is suggested.)

_____

<em>Additional comment</em>

The equation in the text of your question is different from the one in the picture. We have answered for the one in the picture. The text asks for the solution of a quadratic. Those two solutions are approximately 1.085 and 16.057.

Mama L [17]3 years ago

4 0

Answer:

the answer is x=8/7

Step-by-step explanation:

:)))

You might be interested in

The sum of the interior angles of a polygon is 1620 how many sides does the polygon have

Olenka [21]

Answer:

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Find point P that divides segments AB into a 2:3 ratio.

nasty-shy [4]

$\bf ~~~~~~~~~~~~\textit{internal division of a line segment}
\\\\\\
A(-3,1)\qquad B(3,5)\qquad
\qquad \stackrel{\textit{ratio from A to B}}{2:3}
\\\\\\
\cfrac{A\underline{P}}{\underline{P} B} = \cfrac{2}{3}\implies \cfrac{A}{B} = \cfrac{2}{3}\implies 3A=2B\implies 3(-3,1)=2(3,5)\\\\
-------------------------------\\\\
P=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)$

$\bf -------------------------------\\\\
P=\left(\cfrac{(3\cdot -3)+(2\cdot 3)}{2+3}\quad ,\quad \cfrac{(3\cdot 1)+(2\cdot 5)}{2+3}\right)
\\\\\\
P=\left(\cfrac{-9+6}{5}~~,~~\cfrac{3+10}{5} \right)\implies P=\left(-\frac{3}{5}~~,~~\frac{13}{5} \right)$

6 0

3 years ago

A new shopping mall is gaining in popularity every day since it open the number of shoppers is 20% more than the numbers of shop

erastovalidia [21]

Answer: the number of shoppers on the first day is 125

Step-by-step explanation:

The number of shoppers is 20% more than the numbers of shoppers the day before. It means that the number of shoppers is increasing in geometric progression. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as

Sn = (ar^n - 1)/(r - 1)

Where

n represents the number of term in the sequence.

a represents the first term in the sequence.

r represents the common ratio.

From the information given,

r = 1 + 20/100 = 1.2

n = 4(first 4 days)

S4 = 671

Therefore, the expression for the first 4 days is

671 = (a × 1.2^(4) - 1)/1.2 - 1

671 = (a × 1.2^(4) - 1)/0.2

671 = 1.0736a/0.2

671 = 5.368a

a = 671/5.368

a = 125

3 0

2 years ago

PLS HELP! 30 POINTS AND BRAINLIEST!!!

Elena-2011 [213]

Answer:

C. m<1 + m<5 = 180 (reason: they are consecutive angles, and should be congruent)

3 0

3 years ago

Read 2 more answers

16. A can in the shape of a cylinder has a diameter of 6 centimeters

sladkih [1.3K]

Answer:

surface area = 245.04 cm² (nearest tenth)

Step-by-step explanation:

Surface area of a closed cylinder = $2\pi r^2+2\pi rh$

Given:

diameter = 6 cm ⇒ radius = 3 cm
height = 10 cm

⇒ surface area = 2 × $\pi$ × 3² + 2 × $\pi$ × 3 × 10

= 78 $\pi$

= 245.04 cm² (nearest tenth)

8 0

2 years ago