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inysia [295]
3 years ago
7

Running at the same constant rate, 5 identical machines can produce one lot containing a certain number of toys per hour. At thi

s rate, how many toys could 8 machines produce in 1/2 hours?
Mathematics
1 answer:
inessss [21]3 years ago
6 0

Answer:

1.6\cdot{x}

Step-by-step explanation:

If the speed is constant for 5 machines and produces x amount of toys we know that rate is defined as a constant per time:

Here the machines are constant and the rate is x toys per hour:

If 5 machines make x per hour:

Rate is x/1 hour

The the ratio of 8/5 is 1.6. Therefore for 8 machines the rate is 1.6 times more per hour than for5 machines. Therefore we can write an expression as:

Rate for 5 machines is x and for 8 machines is y:

y=1.6\cdot{x}

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Alabama Instruments Company has set up a production line to manufacture a new calculator. The rate of production of these calcul
umka21 [38]

Answer:

The number of calculators is 4871

Step-by-step explanation:

If we integrate dx/dt we get x, which is the number of calculators. To find the number of calculators between the beginning of third week to the end of fourth week (the beginning of fifth week), this integration must be evaluated at t between 3 and 5.

x=\int\limits^5_3 {\frac{dx}{dt}} \, dt =\int\limits^5_3 {5000(1-\frac{100}{(t+10)^2})} \, dt

the result of the integration is:

x=5000(t+\frac{100}{t+10}) to be evaluated between 3 and 5, which is:

x=5000(5+\frac{100}{5+10})-5000(3+\frac{100}{3+10})=\frac{190000}{39}=4871.8

6 0
3 years ago
A regular 18-sided polygon is rotated with the center of rotation at its center. What is the smallest degree of rotation needed
dem82 [27]
It will be easier to explain how to solve this question in a square. If you rotate 4-sided square from the centre, you need to rotate it 90 degrees. The formula for this would be: 360 ° /the side count. In a square, it would be 360° /4= 90°.

In 18-sided polygon, the calculation would be: 360°/ 18 side= 20°
4 0
3 years ago
Read 2 more answers
I need help with this question it’s due today please help.
11Alexandr11 [23.1K]

Answer:

7 in

Step-by-step explanation:

6 0
3 years ago
The product of two numbers is 2400 iftheir LCM is 120 find their LCM.... BY STEPS!!..... ​
aliina [53]

Answer:

60 and 40 or 120 and 20

Step-by-step explanation:

60 x 2=120

40 x 3=120

60 x 40=2400

120 x 1=120

20 x 6=120

120 x 20=2400

You can try a few others, but no others have an lcm of 120

4 0
4 years ago
15.38 x 10-2 in standard form
storchak [24]

Answer:

15.38 \times  {10}^{ - 2}  = 0.1538

I hope I helped you^_^

4 0
3 years ago
Read 2 more answers
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