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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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Four more than one third x
Ierofanga [76]

Answer:

4 + x/3

4 + 1/3x

Step-by-step explanation:

Step 1: Convert "four" to number

4

Step 2: Covert "more than" to number

4 +

Step 3: Convert "one-third" to number

4 + 1/3

Step 4: Add variable <em>x</em> (multiplication)

4 + 1/3x

5 0
3 years ago
Compare fractions 2/3 and 3/8 is &gt;,&lt;,=
Rzqust [24]

Answer:

2/3 > 3/8

Step-by-step explanation:

2/3 > 3/8. This is because 2/3 as a decimal is 0.6666667 while 3/8 as a decimal is 0.375. 2/3 is therefore more than 3/8.

4 0
3 years ago
What can you say about the 3's in the number 43,335
kolbaska11 [484]
I assume it's 43 <em>thousand</em> and 335, not 43 <em>point</em> 335.

The first 3 from the right is for tens, the second is 10 times stronger because it's for hundreds and the fourth is again 10 times stronger because it's for thousands. Hopefully that's what you meant :)
5 0
3 years ago
Find 415 of 619 in simplest form,
Finger [1]

Answer:

415/619

Step-by-step explanation:

619 is a prime number, so the fraction is in simplest form already.

8 0
3 years ago
Complete the chart to find the mean,variance,and standard deviation. 45 340 400 825
hoa [83]

Answer:

<u>A. Mean =  402.5</u>

<u>B. Variance = 77,556.25</u>

<u>C. Standard Deviation =  278.49</u>

Step-by-step explanation:

Let's calculate the mean, variance and standard deviation of the set of numbers given:

A. Mean = (45 + 340 + 400 + 825)/4 = 1,610/4 =<u> 402.5</u>

B. Variance [(45 - 402.5)² + (340 - 402.5)² + (400 - 402.5)² + (825 - 402.5)²]/4 =  [(127,806.25 + 3,906.25 +6.25 + 178,506.25/4 =<u> </u><u>77,556.25</u>

C. Standard Deviation = √Variance = √77,556.25 =<u> 278.49</u>

7 0
3 years ago
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