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andrew-mc [135]
4 years ago
13

One-third times the difference of a number and 5 is -2/3

Mathematics
1 answer:
fomenos4 years ago
3 0
The answer is 3. 1/3(x-5)= -2/3. Multiply by 3 on both sides. Add five and you get 3
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Y=-3x+10 is your awnser
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almond37 [142]

Step-by-step explanation:

don't panic. just breathe and think logically.

why would these angles be different ? how could they be different ?

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so, yes, indeed, these 2 angles are identical.

3x + 2 = 2x + 6

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that's it.

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A bowling ball weighs 48 N. With what net force must it be pushed to accelerate it at 3.0 m/s2
arsen [322]
First find the mass.
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8 0
4 years ago
Find the slant height of the cone with the given measurements, rounded to the nearest hundredth. Then use your result to find th
Alex73 [517]

Check the picture below.

\bf \textit{surface area of a cone}\\\\ SA=\pi r\sqrt{r^2+h^2}+\pi r^2\qquad \implies SA=\pi (8)\sqrt{164}+ \pi (8)^2 \\\\\\ SA=8\pi \sqrt{164}+ 64\pi \implies \stackrel{\pi =3.14~\hfill }{SA\approx 522.65296}\implies \stackrel{\textit{rounded up}}{SA=522.65}

6 0
4 years ago
Read 2 more answers
from the edge of a 486-foot cliff, peyton shot an arrow over the ocean with an initial upward velocity of 90-feet per second
anygoal [31]

Answer:

9 seconds

Step-by-step explanation:

The complete question is

The altitude of an object, d, can be modeled using the equation below:

d=-16t^2 +vt+h

from the edge of a 486 foot cliff, Peyton shot an arrow over the ocean with an initial upward velocity of 90 feet per second. In how many seconds will the arrow reach the water below?

Let

d ----> the altitude of an object in feet

t ---> the time in seconds

v ---> initial velocity in ft per second

h ---> initial height of an object in feet

we have

d=-16t^2 +vt+h

we  know that

When the arrow reach the water the value of d is equal to zero

we have

v=90\ ft/sec

h=486\ ft

d=0\ ft

substitute the values and solve for t

0=-16t^2 +(90)t+486

-16t^2+90t+486=0

Multiply by -1 both sides

16t^2-90t-486=0

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

a=16\\b=-90\\c=-486

substitute in the formula

t=\frac{90(+/-)\sqrt{-90^{2}-4(16)(-486)}}{2(16)}

t=\frac{90(+/-)\sqrt{39,204}}{32}

t=\frac{90(+/-)198}{32}

t_1=\frac{90(+)198}{32}=9\ sec

t_2=\frac{90(-)198}{32}=-3.375\ sec

the solution is t=9 sec

see the attached figure to better understand the problem

4 0
3 years ago
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