The answer is: 75,000 mg
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Explanation:
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Note: 1000 mg = 1g ; is an exact value conversion;
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Convert 75 grams, or "75 g", into "milligrams" (mg).
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75 g * (1,000 mg/1g) = ? mg ?
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The "g" units cancel ; and we are left with:
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[(75 * 1,000 mg)] / (1) = (75 * 1,000 mg) = 75,000 mg
The measures of the angles are given as follows:
<h3>What is the value of x?</h3>
Angle ABD is the sum of angles BCD and ABC, hence:
ABD = BCD + ABC.
We replace the measures to find the value of x, hence:
6x - 9 + 4x - 1 = 82.
10x - 10 = 82.
10x = 92.
x = 9.2.
<h3>What are the measures of the angles?</h3>
With x, we can find the measures of the angles, as follows:
- ABC = 6(9.2) - 9 = 46.2º.
- CBD = 4(9.2) - 1 = 35.8º.
More can be learned about measures of angles at brainly.com/question/25716982
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The two problems are almost identical: you have to set up a system, and then solve it.
In the first case, let
and
be, respectively, the number of girls and boys.
We know that
(the number of girls in the Spanish Club is four more than twice the number of boys). Also, we know that
(there are 61 students in total).
So, we have the system
![\begin{cases}g=2b+4\\g+b=61\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7Dg%3D2b%2B4%5C%5Cg%2Bb%3D61%5Cend%7Bcases%7D)
We can use the first equation to substitute in the second
![g+b=61 \iff (2b+4)+b=61 \iff 3b+4=61 \iff 3b=57 \iff b=19](https://tex.z-dn.net/?f=g%2Bb%3D61%20%5Ciff%20%282b%2B4%29%2Bb%3D61%20%5Ciff%203b%2B4%3D61%20%5Ciff%203b%3D57%20%5Ciff%20b%3D19)
And then solve for
:
![g=2b+4=2\cdot 19+4=38+4=42](https://tex.z-dn.net/?f=g%3D2b%2B4%3D2%5Ccdot%2019%2B4%3D38%2B4%3D42)
For the second problem, let
and
be the number of pins knocked down by, respectively, Carrie and John. Just like before, we have the system
And you can solve it in the very same way we solved the previous one.
Answer:
1856.37 m
Step-by-step explanation:
When the tapes were taken as 30.0 m long, the measured distance was 1858.23 m. This is equivalent to
tapes.
With the correct tape length now 29.97 m, the measured distance is
to 2 decimal places.