Answer:
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Answer:
(x - 5) - 8 = 12
Step-by-step explanation:
Lets portion each part out:
Eight less than
The difference of a number and five
Is twelve.
First, we must write down the portion with "a number" in it: x - 5. We use subtraction because the sentence states "the difference".
Next, we will write down "eight less than". The problem states that twelve is "eight less than" the difference. This means that we must subtract 8 from out first part: (x - 5) - 8
Finally, the sentence tells us that this equals twelve: (x - 5) - 8 = 12
Answer:
math = 87
physics = 168
<em>Brainliest, please!</em>
Step-by-step explanation:
Variables:
m = math, p = physics
Equations:
m + p = 255
m = p - 81
Substitution:
m + p = 255
(p - 81) + p = 255
2p - 81 = 255
2p = 336
p = 168
Solving for m:
m + p = 255
m + 168 = 255
m = 255 - 168
m = 87
Checking with the other equation:
m = p - 81
87 = 168 - 81
87 = 87
So, math = 87 and physics = 168
<em>Brainliest, please!</em>
Answer:
67
Step-by-step explanation:
3^7 = 2187
6^6 = 46656
46656+2187=48843
Prime factors of 48843: 3, 3, 3, 3, 3, 3, 67
Factor tree:
48843
| \
16281 3
| \
5427 3
| \
1809 3
| \
603 3
| \
201 3
| \
67 3
The formula for the nth term of a geometric sequence:
a₁ - the first term, r - the common ratio
![54, a_2, a_3, 128 \\ \\ a_1=54 \\ a_4=128 \\ \\ a_n=a_1 \times r^{n-1} \\ a_4=a_1 \times r^3 \\ 128=54 \times r^3 \\ \frac{128}{54}=r^3 \\ \frac{128 \div 2}{54 \div 2}=r^3 \\ \frac{64}{27}=r^3 \\ \sqrt[3]{\frac{64}{27}}=\sqrt[3]{r^3} \\ \frac{\sqrt[3]{64}}{\sqrt[3]{27}}=r \\ r=\frac{4}{3}](https://tex.z-dn.net/?f=54%2C%20a_2%2C%20a_3%2C%20128%20%5C%5C%20%5C%5C%0Aa_1%3D54%20%5C%5C%0Aa_4%3D128%20%5C%5C%20%5C%5C%0Aa_n%3Da_1%20%5Ctimes%20r%5E%7Bn-1%7D%20%5C%5C%0Aa_4%3Da_1%20%5Ctimes%20r%5E3%20%5C%5C%0A128%3D54%20%5Ctimes%20r%5E3%20%5C%5C%0A%5Cfrac%7B128%7D%7B54%7D%3Dr%5E3%20%5C%5C%20%5Cfrac%7B128%20%5Cdiv%202%7D%7B54%20%5Cdiv%202%7D%3Dr%5E3%20%5C%5C%0A%5Cfrac%7B64%7D%7B27%7D%3Dr%5E3%20%5C%5C%0A%5Csqrt%5B3%5D%7B%5Cfrac%7B64%7D%7B27%7D%7D%3D%5Csqrt%5B3%5D%7Br%5E3%7D%20%5C%5C%0A%5Cfrac%7B%5Csqrt%5B3%5D%7B64%7D%7D%7B%5Csqrt%5B3%5D%7B27%7D%7D%3Dr%20%5C%5C%0Ar%3D%5Cfrac%7B4%7D%7B3%7D)
