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3 years ago

-1/2 +2=-x+7 how do you figure this out

Mathematics

1 answer:

Feliz [49]3 years ago

3 0

Answer:

x = 5.5

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

$-\frac{1}{2} +2=-x+7$

$-\frac{1}{2} +2= 1.5$

$1.5=-x+7$

-7 -7

$-5.5 = -x$

Divide both sides by -1.

$5.5 = x$

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The pendulum of an antique clock has been damaged and needs to be replaced.If the original pendulum completed one swing every 1.

baherus [9]

Answer:

The length of pendulum is 55.853cm

Step-by-step explanation:

We are given

the original pendulum completed one swing every 1.5 seconds

so, T=1.5 sec

now, we can use time period formula

$T=2\pi \sqrt{\frac{l}{g} }$

l is the length of pendulum

g is acceleration due to gravity

$g=9.8m/s^2$

now, we can plug values

and then we can solve for l

$1.5=2\pi \sqrt{\frac{l}{9.8} }$

$\frac{l}{9.8}=0.05699$

$l=0.55853m$

In cm

$l=55.853cm$

3 0

3 years ago

11. An old machine requires three times as many hours to complete a job as

valentinak56 [21]

Answer:

Step-by-step explanation:

$9(r_n+r_o)=1\\ \\ r_n+r_o=\frac{1}{9}\\ \\ r_o=\frac{r_n}{3}\\ \\ r_n+\frac{r_n}{3}=\frac{1}{9}\\ \\ \frac{4r}{3}=\frac{1}{9}\\ \\ 4r=\frac{1}{3}\\ \\ r=\frac{1}{12}\\ \\ \text{So working alone it would take the new machine 12 hours to finish the job.}$