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Alex Ar [27]
3 years ago
11

In a factory, an assembly line can manufacture 39 widgets per second. In another factory, 6 widgets are combined to make 1 whooz

it. Approximately how many days must the widget assembly line run to produce 3,500,000 whoozits?
A.4 days
B.6 days
C.374 days
D.9479 days
Mathematics
1 answer:
Rudik [331]3 years ago
4 0
Given:
39 widgets per seconds
6 widgets to make 1 whoozit

3,500,000 whoozits * 6 widgets/whoozits = 21,000,000 widgets
21,000,000 widgets / 39 widgets/sec = 538,461.54 seconds

1 day = 24 hours
1 hour = 60 minutes
1 minutes = 60 seconds
1 hour = 3600 seconds

3,600 seconds * 24 hrs = 86,400 seconds 
538,461.54 seconds / 86,400 seconds per day = 6.23 days.

B. 6 days.
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Tamara says she used the GCF to factor the expression 21x + 56xy as 7(3x + 8xy). Is she correct? Explain.
coldgirl [10]

Answer:

Tamara incorrectly factored the whole expression.

Step-by-step explanation:

Note that

•21x=3·7·x;

•56xy=2·2·2·7·x·y.

Mark in bold all common factors, then GCF(21x,56xy)=7·x=7x.

Thus,

21x+56xy=7x(3+8y).

Hence, Tamara correctly found the GCF of numbers 21 and 56, but incorrectly factored the whole expression.

6 0
3 years ago
Find the solution to the system of equations: x + 3y = 7 and 2x + 4y = 8 1. Isolate x in the first equation: 2. Substitute the v
klemol [59]
X + 3y = 7
x = -3y + 7

2x + 4y = 8
2(-3y + 7) + 4y = 8
-6y + 14 + 4y = 8
-2y = 8 - 14
-2y = - 6
y = -6/-2
y = 3

x + 3y = 7
x + 3(3) = 7
x + 9 = 7
x = 7 - 9
x = -2

solution is (-2,3)
6 0
3 years ago
Read 2 more answers
Evaluate the following expression will give branliest<br> 256 to the power of 5/8
Nana76 [90]

Answer:

32

Step-by-step explanation:

The formula needed to solve this question by hand is:

x^{\frac{m}{n}} =\sqrt[n]{x^{m}}

256^(5/8) = 8th root of 256^5

256^(5/8) = 8th root of 1280

<u>256^(5/8) = 32</u>

5 0
3 years ago
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Picture Added Triangles <br> AA <br> SSS<br> SAS<br> Not Similar
rewona [7]

Answer:

Not Similer

Step-by-step explanation:

we can use the process of elimination, first AA isn't it because the corresponding angles arn't equal, next SSS itsn't it because we don't know the side lengths, and lastly SAS isn't it because we still don't know the side lengths.

5 0
3 years ago
11. Find the average rate of change of the equation y = x2 + 4x + 1 on the interval -1 &lt; x &lt; 4.
coldgirl [10]

Answer:

31/5

Step-by-step explanation:

[f(4) - f(-1)] / 4-(-1)

7 0
3 years ago
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