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Ray Of Light [21]
3 years ago
5

Divide 70 in the ratio 2:5​

Mathematics
1 answer:
Serggg [28]3 years ago
4 0

Answer:

Step-by-step explanation:

20:50

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A factory manufactures a metal piece in 32 minutes. New technology allowed the factory to cut that time by 8%. Then another impr
OverLord2011 [107]

Answer:

28 minutes

Step-by-step explanation:

we know that

1) A factory manufactures a metal piece in 32 minutes

2) New technology allowed the factory to cut that time by 8%

Remember that

100\%-8\%=92\%=92/100=0.92

In this part 32 minutes represent the 100%

To find out how long  it take to manufacture the piece, multiply 32 minutes by the factor 0.92

32(0.92)=29.44\ min

3) Then another improvement cut the time by 5%

Remember that

100\%-5\%=95\%=95/100=0.95

In this part 29.44 minutes represent the 100%

To find out how long  it take to manufacture the piece now, multiply 29.44 minutes by the factor 0.95

29.44(0.95)=28\ min

6 0
3 years ago
Lin runs 5 laps around a track in 6 minutes.
Paladinen [302]

Answer:

25.2

Step-by-step explanation:

6/5 is 1.2, so it takes 1.2 minutes to run one lap.

This means 21 x 1.2 = the minutes it takes to run 21 laps around the track.

Therefore it takes 25.2 minutes to run around the track 21 times.

3 0
2 years ago
The basic sticker price on Mr. Feldman's new car was $3200, The options he desired cost an additional $1800. What percent of the
Keith_Richards [23]
3200 plus 1800 is 5000.
So find the percentage of 5000 1800 is.
So 36%
6 0
3 years ago
Through: (-3,0), perp. to y = 3x - 1
Marrrta [24]

Answer:

y=-\dfrac{1}{3}x-1

Step-by-step explanation:

<u>Given: </u>

line y=3x-1

point (-3,0)

<u>Write:</u> equation of the line that is perpendicular to the given and passes through the point (-3,0)

<u>Solution:</u>

The slope of the given line is m=3

If m_1 is the slope of perpendicular line, then

m\cdot m_1=-1\\ \\3m_1=-1\\ \\m_1=-\dfrac{1}{3}

So, the equation of the needed line is y=-\dfrac{1}{3}x+b.

Find b. This line passes through the point (-3,0), so its coordinates satisfy the equation:

0=-\dfrac{1}{3}\cdot (-3)+b\\ \\0=1+b\\ \\b=-1\\ \\y=-\dfrac{1}{3}x-1

7 0
3 years ago
If sec theta = - √30 / 3, find cos theta.<br> if sin(-theta) = -0.97, find cos (π/2 - theta).
Cloud [144]

Step-by-step explanation:

\cos \theta  =  \frac{1}{ \sec\theta }  =  -  \frac{3}{ \sqrt{30} }  =  -  \frac{3 \sqrt{30} }{30}   =  -  \frac{ \sqrt{30} }{10}

\cos( \frac{\pi}{2} -  \theta )=  \cos \frac{\pi}{2}  \cos \theta  +   \sin \frac{\pi}{2}  \sin \theta

Note that

\sin( - \theta) =  -  \sin \theta

\cos \frac{\pi}{2}  = 0 \:  \:  \:  \:  \:  \sin \frac{\pi}{2}  = 1

Therefore,

\cos( \frac{\pi}{2} -  \theta )  = 0.97

5 0
3 years ago
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