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lawyer [7]
3 years ago
12

Mohammed and luigi were printing calendars. Mohammed used 3 1/2 ink cartridges while Luigi used 1 3/4 ink cartridges. How many m

ore ink cartridges did Mohammed use than Luigi
Mathematics
1 answer:
erica [24]3 years ago
5 0

Step-by-step explanation:

Mohammed used 3 1/2 ink cartridges = \dfrac{7}{2}

Luigi used 1 3/4 ink cartridges = \dfrac{7}{3}

It means that Mohammed used more ink cartridges than Luigi. The more amount is calculated as follows :

\dfrac{7}{2}-\dfrac{7}{3}=\dfrac{7\times3-7\times 2}{6}\\\\=\dfrac{21-14}{6}\\\\=\dfrac{7}{6}

So, \dfrac{7}{6} more ink cartridges Mohammed used than Luigi.

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Line A passes through the points (-8, 5) and (-5, 4). Line B passes through the points (0, 1) and (4, -1). Which of the followin
horrorfan [7]

\stackrel{\textit{\LARGE Line A}}{(\stackrel{x_1}{-8}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{4})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{-5}-\underset{x_1}{(-8)}}} \implies \cfrac{4 -5}{-5 +8}\implies -\cfrac{1}{3} \\\\[-0.35em] ~\dotfill

\stackrel{\textit{\LARGE Line B}}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-1})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{0}}} \implies \cfrac{-1 -1}{4 +0}\implies -\cfrac{1}{2}

keeping in mind that perpendicular lines have negative reciprocal slopes, and that parallel lines have equal slopes, well, those two slopes above aren't either, so since they're neither, and they're different, that means that lines A and B intersect.

8 0
2 years ago
X= a) 50 b) 100 c) 25
Molodets [167]

Answer:

x=a)50 so that would be the answer

would be e correct anwser meep meep

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A car is traveling 150 feet per second. Convert this to miles per hour.
Nana76 [90]

There are 3600 seconds in 1 hour.

Multiply feet per second by 3600 to get feet in 1 hour:

150 x 3600 = 540,000 feet in 1 hour.

1 mile = 5280 feet.

Divide feet per hour by 5280 to get miles per hour:

540,000 / 5280 = 102.27 miles per hour.

7 0
3 years ago
What is the<br> slope of<br> (-3, 1) and (2, -1)
solmaris [256]

Answer:

the slope is -2/5

Step-by-step explanation:

you do y2-y1 on top of the division sign and x2-x1 on the bottom.

8 0
3 years ago
What is the inverse of f(x)=3x+6 ?
scZoUnD [109]

Answer:

\boxed{\sf \ \ f^{-1}(x)=\dfrac{x-6}{3} \ \ }

Step-by-step explanation:

hello,

we can write

fof^{-1}(x)=x \ and \ fof^{-1}(x)=f(f^{-1}(x))=3f^{-1}(x)+6 \ so\\3f^{-1}(x)+6=x \ \ subtract \ 6\\3f^{-1}(x)=x-6 \ \ divide \ \ by \ \ 3\\ f^{-1}(x)=\dfrac{x-6}{3}

hope this helps

3 0
3 years ago
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