The answer is C. and E.
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Work shown below:
A. 500 divided by 6 equals 83.33.
B. 600 divided by 3 equals 200.
C. 100 divided by 4 equals 25. (CORRECT)
D. 150 divided by 5 equals 30.
E. 200 divided by 8 equals 25. (CORRECT)
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Hope this could help you.
Answer:
![Exact form:b=-\frac{8}{11}\\Decimal form: b=-0.72727272727272727272](https://tex.z-dn.net/?f=Exact%20form%3Ab%3D-%5Cfrac%7B8%7D%7B11%7D%5C%5CDecimal%20form%3A%20b%3D-0.72727272727272727272)
Step-by-step explanation:
![-4(b+3)-12=2b-16+5b](https://tex.z-dn.net/?f=-4%28b%2B3%29-12%3D2b-16%2B5b)
![-4b-12-12=2b+5b](https://tex.z-dn.net/?f=-4b-12-12%3D2b%2B5b)
![-4b-24=7b-16](https://tex.z-dn.net/?f=-4b-24%3D7b-16)
![-4b=7b+8](https://tex.z-dn.net/?f=-4b%3D7b%2B8)
Answer:
![= log_{10}(\frac{6\sqrt{2} }{\sqrt{7} } )](https://tex.z-dn.net/?f=%3D%20log_%7B10%7D%28%5Cfrac%7B6%5Csqrt%7B2%7D%20%7D%7B%5Csqrt%7B7%7D%20%7D%20%29)
Step-by-step explanation:
Given the expression ![log10\sqrt{36} + log10\sqrt{2} - log10\sqrt{7} \\](https://tex.z-dn.net/?f=log10%5Csqrt%7B36%7D%20%2B%20log10%5Csqrt%7B2%7D%20%20-%20log10%5Csqrt%7B7%7D%20%5C%5C)
According to the law of logarithm;
loga + log b = log(ab) and log a - log b = log(a/b)
The given expression becomes;
![log10\sqrt{36} + log10\sqrt{2} - log10\sqrt{7} \\= log_{10}(\frac{\sqrt{36} \times \sqrt{2} }{\sqrt{7} })\\= log_{10}(\frac{6\sqrt{2} }{\sqrt{7} } )](https://tex.z-dn.net/?f=log10%5Csqrt%7B36%7D%20%2B%20log10%5Csqrt%7B2%7D%20%20-%20log10%5Csqrt%7B7%7D%20%5C%5C%3D%20log_%7B10%7D%28%5Cfrac%7B%5Csqrt%7B36%7D%20%5Ctimes%20%5Csqrt%7B2%7D%20%7D%7B%5Csqrt%7B7%7D%20%7D%29%5C%5C%3D%20log_%7B10%7D%28%5Cfrac%7B6%5Csqrt%7B2%7D%20%7D%7B%5Csqrt%7B7%7D%20%7D%20%29)
The answer should be 11 since adding all the x’s up before 13 equals 11
Answer:
5
Step-by-step explanation: