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Marta_Voda [28]
3 years ago
14

What is the solution to this equation? 2x + 3 = x - 4

Mathematics
1 answer:
AfilCa [17]3 years ago
6 0

Answer:

Step-by-step explanation:

First, isolate the variables onto one side of the equation.

2x + 3 = x - 4

(subtract x)

x + 3 = -4

Then, remove any remaining numbers.

(subtract 3)

x = -7

I hope this helps!

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The radius of a circle is 7 cm what is the cirfufance​
OlgaM077 [116]

Answer:

44 cm

Step-by-step explanation:

The circumference (C) of a circle is calculated using the formula

C = 2πr ← where r is the radius

here r = 7, hence

C = 2 ×π × 7 = 14π ≈ 44 cm ( to nearest whole number )

4 0
3 years ago
The length of a 200 square foot rectangular vegetable garden is 4feet less than twice the width. Find the length and width of th
inna [77]

Answer:

Length = 18.099 ft

Width = 11.049 ft

Step-by-step explanation:

let the length of the field be x ft

and the width be y ft

as per the condition given in problem

x=2y-4   -----------(A)

Also the area is given as 200 sqft

Hence

xy=200

Hence from A we get

y(2y-4)=200

taking 2 as GCF out

2y(y-2)=200

Dividing both sides by 2 we get

y(y-2)=100

y^2-2y=100

subtracting 100 from both sides

y^2-2y-100=0

Now we solve the above equation with the help of Quadratic formula which is given in the image attached with this for any equation in form

ax^2+bx+c=0

Here in our case

a=1

b=-1

c=-100

Putting those values in the formula and solving them for y

y=\frac{-(-2)+\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}

y=\frac{-(-2)-\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}

Solving first

y=\frac{2+\sqrt{4+400}{2}

y=\frac{2+\sqrt{404}{2}

y=\frac{2+20.099}{2}

y=\frac{22.099}{2}

y=11.049

Solving second one

y=\frac{-(-2)-\sqrt{(-2)^2-4 \times (-1) \times 100}}{2 \time 1}

y=\frac{2-\sqrt{4+400}{2}

y=\frac{2-\sqrt{404}{2}

y=\frac{2-20.099}{2}

y=\frac{-18.99}{2}

y=-9.045

Which is wrong as the width can not be in negative

Our width of the field is

y=11.099

Hence the length will be

x=2y-4

x=2(11.049)-4

x=22.099-4

x=18.099

Hence our length x and width y :

Length = 18.099 ft

Width = 11.049 ft

4 0
3 years ago
Find log1/4 rounded to the nearest hundredth.
erastovalidia [21]

Answer:

-log_4

Step-by-step explanation:

4 0
2 years ago
Simplify<br><br> Help me please
Reika [66]

Answer:

\frac{-27b^{6}}{c^{18}}

Step-by-step explanation:

first distribute the ^3, -3^3=-27, for the variables, (x^y)^3=x^(3y) so (b^2)^3=b^6 and (c^-6)^3=c^-18. now we have -27b^{6}c^{-18}. Next we have to get rid of the negative in c^-18. x^-y=1/x^y so c^-18=\frac{1}{c^{18}}, plug it in and you get \frac{-27b^{6}}{c^{18}}

6 0
3 years ago
Find the interest on a loan with Principal =<br> $1000, Rate = 6%, Time = 2 years
Naily [24]

Answer:

changing the currency $ to #

$1000 = #415,640.00

i=prt (formular)

given:

I =?

p = $1000 or #415,640.00

r = 6%

t = 2 years

i= 415,640.00×6×2÷100

i= #49876.8

without changing currency

i= 1000×6×2÷100

i=120

3 0
2 years ago
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