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Stels [109]
3 years ago
13

Two factory plants are making tv panels. yesterday, plant A produced twice as much as Plant B. 5% of the panels from Plant A and

4% of the panels from Plant B were defective. How many panels did Plant B produce, if the two plants together produced 980 defective panels?
Mathematics
1 answer:
kenny6666 [7]3 years ago
7 0

Answer:

7,000 panels

Step-by-step explanation:

Let the number of panel produced by plant B be x , this means plant A produced 2x. This is because what they produced is twice as much.

Now, we know 5% and 4% of the panels produced were defective and the total number of defectives is 980. This means that:

[5/100 * 2x] + [4/100 * x ] = 980

(0.05 * 2x) +(0.04x ) = 980

0.1x + 0.04x = 980

0.14x = 980

x = 980/0.14 = 7,000 panels.

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Step-by-step explanation:

Rotating 90 deg. counterclockwise maps (x,y) onto (-y,x), so (5,4) maps onto (-4,5).

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Write equations for the horizontal and vertical lines passing through the point (6,9)​
Maslowich

The equations for the horizontal and vertical lines passing through the point (6,9)​ is y = 9 and x = 6 respectively

<u>Solution:</u>

Given, point is (6, 9)

We have to find the equations for horizontal and vertical lines passing through above given point.

Now, let us find horizontal line,  

We know that, horizontal line is parallel to x – axis, so slope of our required line is 0.

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Now, let us find vertical line,

We know that, vertical line is parallel to y – axis, so slope of our required line is undefined (\frac{1}{0})

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7 0
3 years ago
Andra travels 90 miles at an average speed of 70 mph.
spayn [35]

Answer:

54mph

Step-by-step explanation:

\textsf  {\underline {To  find  :-}}

<u>The</u><u> </u><u>average</u><u> </u><u>speed</u><u> </u><u>at</u><u> </u><u>2</u><u>n</u><u>d</u><u> </u><u>departure</u><u>.</u>

⠀

\textsf{ \underline {Given :-}}

The speed during 90 miles travel = 70mph

The average speed during the entire journey = 63mph

The distance in second departure = 70 miles

⠀

⠀

\textsf {\large{ \underline{ Solution :-}}}

⠀

The distance travelled in the entire journey

= 90 + 70 = 160 miles.

⠀

Then the time taken in entire journey will be

\sf \large  =  \frac{total \: distance}{average \: speed}  \\  \\  \sf \large   =  \frac{160}{63}  \\  \\  \sf  \large  = 2 \frac{37}{63}hours   \\  \\  \sf \large = 2 \: hours \: 35 \: minutes

⠀

⠀

Time taken at first departure

\sf  \large  =  \frac{distance}{speed}  \\  \\  \sf  \large =  \frac{9 \cancel0 }{7 \cancel0}   \\  \\  \sf  \large = 1 \frac{2}{7}  \:  hours \\  \\  \sf  \large =  1 \: hour \: 17 \: minutes

⠀

⠀

Time taken in second departure

= 2 hours 35 minutes - 1 hour 17 minutes

= 1 hour 18 minutes

⠀

⠀

Speed at second departure will be

=  \sf \large  \frac{distance}{time}  \\  \\  \sf  \large  =  \frac{70}{1  \frac{18}{60}  }  \\  \\  \sf  \large =   \frac{70}{1.3}  \\   \\   \sf  \large  = 53.84 \: mph \\  \\  \sf \large = 54 \:  mph

⠀

⠀

⠀

The average speed at second departure was 54mph.

6 0
2 years ago
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