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2 years ago

Solve for x. 21x + 11 - 5 = 5

Mathematics

2 answers:

nydimaria [60]2 years ago

6 0

Answer:

x=-1

Step-by-step explanation:

21x+11-5=5

21x+6=5

-6 -6

21x=-1

21 21

x=-1

Reil [10]2 years ago

3 0

Answer:

x= -1/21

Step-by-step explanation:

21x + 11 - 5 = 5

21x + 6 = 5

(-6 each side)

21x = -1

(divide 21 each side)

x= -1/21

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2 years ago

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Decide if the expression is positive or negative. Explain in words how you know, please.

AysviL [449]

Step-by-step explanation:

The first expression is :

$-11\times \dfrac{2}{3}$

Numerator = -11×2 = -22

Denominator = 3

So, answer will be :

$-11\times \dfrac{2}{3}=\dfrac{-22}{3}$ (negative)

The second expression is:

$-11\times \dfrac{-2}{3}$

Numerator = -11×-2 = 22

Denominator = 3

So, the answer will be :

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Hence, this is the required solution.

7 0

2 years ago

In a free-fall experiment, an object is dropped from a height of h = 400 feet. A camera on the ground 500 ft from the point of i

PilotLPTM [1.2K]

Hmmm the object, is at rest, when dropped, so it has a velocity of 0 ft/s

the only force acting on the object, is gravity, using feet will then be -32ft/s²,

was wondering myself on -32 or 32.. but anyhow... we'll settle for the negative value, since it seems to be just a bit of convention issues

so, we'll do the integral to get v(t) then

$\bf \displaystyle \int -32\cdot dt\implies -32t+C
\\\\\\
\textit{object moves from \underline{rest}, so velocity is 0 at 0secs}
\\\\\\
-32(0)+C=0\implies C=0\implies \boxed{v(t)=-32t}
\\\\\\
\textit{now to get the positional s(t)}
\\\\\\
\displaystyle \int -32t\cdot dt\implies -16t^2+C
\\\\\\
\textit{the initial \underline{position} was 400ft away at 0secs}
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-16(0)^2+C=400\implies C=400\implies \boxed{s(t)=-16t^2+400}$

when will it reach the ground level? let's set s(t) = 0

$\bf s(t)=-16t^2+400\implies 0=-16t^2+400\implies \cfrac{-400}{-16}=t^2
\\\\\\
25=t^2\implies \boxed{5=t}$

part B) check the picture below

5 0

2 years ago

Reduced each fraction as much possible 40/64

RUDIKE [14]

Answer:

5/8

Step-by-step explanation:

40/64

20/32

10/16

5/8

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2 years ago