3x27=81 so 81 is a multiple of 3
there is no integer x for which 4x=46 so 46 is not a multiple of 4
there is no integer x for which 7x=55 so 55 is not a multiple of 7
72 = 8*9 so 72 is a multiple of 9
there is no integer x for which 6x=45 hence 45 is not a multiple of 6
Answer:
<h2>
29</h2>
Step-by-step explanation:
![(20,21,x) \\Pythagoras -Theorem =\\a^2+b^2 = c^2\\\\20^2 + 21^2 = x^2\\400 + 441 = x^2\\841 = x^2\\Square -root-both-sides\\\sqrt{841} = \sqrt{x^2} \\29 = x\\\\x = 29](https://tex.z-dn.net/?f=%2820%2C21%2Cx%29%20%5C%5CPythagoras%20-Theorem%20%3D%5C%5Ca%5E2%2Bb%5E2%20%3D%20c%5E2%5C%5C%5C%5C20%5E2%20%2B%2021%5E2%20%3D%20x%5E2%5C%5C400%20%2B%20441%20%3D%20x%5E2%5C%5C841%20%3D%20x%5E2%5C%5CSquare%20-root-both-sides%5C%5C%5Csqrt%7B841%7D%20%3D%20%5Csqrt%7Bx%5E2%7D%20%5C%5C29%20%3D%20x%5C%5C%5C%5Cx%20%3D%2029)
Answer:
There is only one perfect number between 20 to 30 which is 28.
<h3>Explanation:</h3>
The number 28 is a perfect number because its factors are 1, 2, 4, 7, 14 and 28.
Answer:
18. 20,000.
19. 0
7. 1
11. 101
Step-by-step explanation:
18. I think is stays the same, because an integer is a number that is not a fraction. So still 20,000.
19. Sea level is at zero altitude. So answer is 0.
7. |17-16| = |1| = 1. The lines around it are called absolute value signs and mean to make the answer positive.
11. |-101| = 101. As said before the lines mean to make the inside part positive.
Mr. Jackson invested $800 at 6% per year and $ 2400 at 4 % per year
<h3><u>Solution:</u></h3>
Mr. Jackson invested a sum of money at 6% per year, and 3 times as much at 4% per year.
Let the sum invested be ‘a’ and ‘3a’ at 6% per year and 4 % per year respectively
Also, his annual return totaled $144
We can form following equation on the basis of question:-
![\begin{array}{l}{\text { Then, } \frac{a \times 6 \times 1}{100}+\frac{3 a \times 4 \times 1}{100}=\$ 144} \\\\ {\frac{6 a}{100}+\frac{12 a}{100}=144} \\\\ {\frac{6 a+12 a}{100}=144} \\\\ {\frac{18 a}{100}=144} \\\\ {18 a=14400} \\\\ {a=14400 \div 18}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B%5Ctext%20%7B%20Then%2C%20%7D%20%5Cfrac%7Ba%20%5Ctimes%206%20%5Ctimes%201%7D%7B100%7D%2B%5Cfrac%7B3%20a%20%5Ctimes%204%20%5Ctimes%201%7D%7B100%7D%3D%5C%24%20144%7D%20%5C%5C%5C%5C%20%7B%5Cfrac%7B6%20a%7D%7B100%7D%2B%5Cfrac%7B12%20a%7D%7B100%7D%3D144%7D%20%5C%5C%5C%5C%20%7B%5Cfrac%7B6%20a%2B12%20a%7D%7B100%7D%3D144%7D%20%5C%5C%5C%5C%20%7B%5Cfrac%7B18%20a%7D%7B100%7D%3D144%7D%20%5C%5C%5C%5C%20%7B18%20a%3D14400%7D%20%5C%5C%5C%5C%20%7Ba%3D14400%20%5Cdiv%2018%7D%5Cend%7Barray%7D)
a = $800
The amount of money invested at 6% = a = 800
The amount of money invested at 4 % = 3a = 3(800) = 2400
So, the amount of money invested at 6% is $800 and the amount of money invested at 4% is $ 2400