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Elis [28]
3 years ago
5

Michael, Leo and JuWoong collect stamps. The ratio of the number of Michael's stamps to JuWoong's stamps is 2:7. The number of J

uWoon's stamps is 3/4 of the number of Leo's stamps. If Leo has 396 more stamps than Michael, how many stamps do they have altogether?
Mathematics
1 answer:
Alisiya [41]3 years ago
4 0

Answer:

990

Step-by-step explanation:

M/J = 2/7

J = 3/4 L

L = M + 396

7M = 2J

J = 3.5M

3.5M = 3/4 L

L = 4/3(3.5M)

L = 14/3 M

14/3 M = M + 396

11/3 M = 396

M = 3/11 × 396

M = 108

L = M + 396

L = 108 + 396

L = 504

J = 3/4 L

J = 3/4 × 504

J = 378

M + L + J = 108 + 504 + 378 = 990

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Step-by-step explanation:

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The equation line l is given by the equation y= 7/4x+3. line m goes through the point ( –1,4) and is perpendicular to line l whi
mr_godi [17]

We determine line m as follows:

*First, by theorem we have the following:

m_1=-\frac{1}{m_2}

Here m1 & m2 are the slopes of two perpendicular lines. For all lines that are perpendicular that is true, so we calculate the slope of line m using the slope of the function given [Which has a slope of 7/4]:

m_1=-\frac{1}{\frac{7}{4}}\Rightarrow m_1=-\frac{4}{7}

So, the slope of line m is -4/7. Now, using this slope and the point (-1, 4) we replace in the following expression:

y-y_1=m_1(x-x_1)

Here x1, y1 & m1 are the x-component of the point, the y-component of the point, and the slope of the line respectively, so we replace and solve for y:

y-4=-\frac{4}{7}(x-(-1))\Rightarrow y-4=-\frac{4}{7}x-\frac{4}{7}\Rightarrow y=-\frac{4}{7}x+\frac{24}{7}

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1 year ago
What is the behavior of?
GarryVolchara [31]

Answer:

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5 0
3 years ago
Read 2 more answers
A girl can run 6 2/3 metres in one second. How long will it take her to run 100 metres?
Crank

Answer:

15 seconds

Step-by-step explanation:

How did i get this answer? It is apparent that the girl is capable of running 6 2/3 metres per one second and she must run 100 metres.

First, let's convert 2/3 into a decimal so that it is easier to calculate later. 2/3=0.667 (you can also just do 2 divide by 3 and will end up with the same number)

Now our numbers are 6.667 and 100. Let's divide 100 by 6.667 which estimates to 15

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2 years ago
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The following data points represent the number of points scored by each player on the Wildcats basketball team last game. ______
scoundrel [369]

Answer:

4

Step-by-step explanation:

  • If you take the lowest half of the data (from the lower extreme to the median) and find the median of these numbers, that is called the lower quartile or quartile 1.
  • If you take the upper half of the data (from the upper extreme to the median) and find the median of these numbers, that is called the upper quartile or quartile 3.
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I also added my PowerPoint if you didn't get what I was saying.

Download pptx
7 0
3 years ago
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