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Fudgin [204]
3 years ago
13

asanjis printing inc. has two types of printing presses: model a and model b. model a can print 80 books per day and model b can

print 60 books per day. altogether asanji has 18 printing presses. if he can print 1260 books in a day, then how many of each press does he have
Mathematics
1 answer:
Jet001 [13]3 years ago
6 0

Answer:

model a: 9 presses

model b: 9 presses

Step-by-step explanation:

let x=model a and y=model b.

If asanji has 28 printing presses, we can say that x+y=18.

If he can print 1260 books in a day, we can say that 80x+60y=1260.

Now, We can solve the system of equation by solving an equation in terms of any variable. You can choose any variable. I chose x. x+y=18, So if we subract y from each side, we get x=18-y. Now, we can substitute that in the other equation. Thus, 80(18-y) +60y=1260. If we continue to solve for y, 1440-80y+60y=1260, 1440-20y=1260, subtract 1440 from each side, which gives you -20y=-180, and divide - 20 and you get y=9. Now, substitute the 9 in the x+y=18 to find x. Thus, x+9=18, and x=9. So, Asanji has 9 press of Model A and 9 presses of Model B.

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3 years ago
What is the arc length of the arc sub tended in a circle with radius 6 and an angle of 7 pi/ 8
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Answer:

Formula for the Arc length is given by:

\text{Arc length} = 2 \pi r \cdot \frac{\theta}{360^{\circ}}

As per the statement:

radius of circle(r) = 6 units

Angle (\theta) = \frac{7 \pi}{8} radian

Use conversion:

1 rad = \frac{180}{\pi}

\frac{7 \pi}{8} = \frac{180}{\pi} \cdot \frac{7 \pi}{8} = \frac{1260}{8} = 157.5^{\circ}

then;

substitute these given values we have;

Use value of \pi = 3.14

\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot \frac{157.5^{\circ}}{360^{\circ}}

or

\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot 0.4375

Simplify:

\text{Arc length}=16.485

Therefore, the arc length of the arc substended in a circle with radius 6 units an angle of 7 pi/8 is 16.485 units

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3 years ago
Janeen wants to use the distributive property to find the value of 14⋅26+14⋅53. Which expression can she use?
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5 0
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Pani-rosa [81]
Notice the picture below

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by simply just add 2π to it :)  

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\cfrac{19\pi }{6}\impliedby co-terminal\ angle

now, that's a positive one
and  \bf \cfrac{7}{6}-2=-\cfrac{5}{6}\qquad thus\qquad \cfrac{7\pi} {6}-2\pi =-\cfrac{5\pi }{6}
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Answer:

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