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Grace [21]
3 years ago
12

Someone plz help! thx

Mathematics
1 answer:
timurjin [86]3 years ago
6 0
Convert each mixed number to an improper fraction

--------------------------------------------
Convert 6&1/2 to an improper fraction

6&1/2 = (6*2+1)/2
6&1/2 = (12+1)/2
6&1/2 = 13/2
--------------------------------------------
Do the same for 9&1/4

9&1/4 = (9*4+1)/4
9&1/4 = (36+1)/4
9&1/4 = 37/4
--------------------------------------------
Now multiply the improper fractions 13/2 and 37/4. Multiply straight across

(13/2)*(37/4) = (13*37)/(2*4)
(13/2)*(37/4) = 481/8
--------------------------------------------
The last step is to use long division to find the mixed number equivalent of 481/8

Or we an say 
60*8 = 480
So 60*8+1 = 480+1
which means 
481/8 = (480+1)/8 = 480/8+1/8 = 60&1/8

Making the final answer to be choice C

Another way to get the answer is to convert 481/8 into a decimal to get 60.125 and then convert that back to a mixed number. You should get 60&1/8
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David can type a 50-page paper in 8 hours. Last month, David and Andy together typed a
erik [133]

Answer:

12.5pages

Step-by-step explanation:

50pages ×6hours=300 and then we divide by 8 to get 37.5(the number of pages printed by david in 6 hours)

subtract 37.5 from 50 to find the number of pages printed by andy

3 0
3 years ago
Two planes, A and B, start from the same place and move in different directions, making an angle of 50º between them. The speed
cluponka [151]

Answer: The distance between them is 230.65 miles.

Step-by-step explanation:

Since we have given that

Speed of plane A (b) = 200 miles per hour

Speed of plane B (c) = 300 miles per hour

Angle between them = 50°

So,

We will use the "Cosine formula", we get

a^2=b^2+c^2-2bc\cos A\\\\a^2=200^2+300^2-2\times 200\times 300\cos 50\textdegree\\\\a^2=40000+90000-120000\cos 50\textdegree\\\\a^2=130000-120000\times 0.64\\\\a^2=130000-76800\\\\a^2=53200\\\\a=\sqrt{53200}\\\\a=230.65\ miles\ per\ hour

So, distance between the two planes after one hour will be

Distance=\frac{Speed}{time}=\frac{230.65}{1}=230.65\ miles

So, the distance between them is 230.65 miles.

6 0
4 years ago
Read 2 more answers
Which of the following lines are parallel to 2Y - 3X = 4?
dimulka [17.4K]

Answer:

B. Y = 6/4 X

Step-by-step explanation:

Well to find its parallel line we need to put,

2y - 3x = 4 into slope-intercept.

+3x to both sides

2y = 3x + 4

Now we divide everything by 2,

y = 3/2x + 2

So a line that is parallel to the given line will have the same slope but different y intercept, meaning we can cross out choices A and C.

To check look at the image below ↓

<em>Thus,</em>

<em>answer choice B. Y = 6/4 X is correct.</em>

<em />

<em>Hope this helps :)</em>

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The slope is -5

Step-by-step explanation:

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