Answer:
x = 4y+28
Step-by-step explanation:
x/4 -7 = y
Solve for x
Add 7 to each side
x/4 -7+7 = y+7
x/4 = (y+7)
Multiply each side by 4
x/4*4 = 4(y+7)
x = 4y+28
Answer:
A. 169 is the correct answer
Answer:
a) ![4.5 \times 10^{11}](https://tex.z-dn.net/?f=4.5%20%5Ctimes%2010%5E%7B11%7D)
b) ![3.5 \times 10^{3}](https://tex.z-dn.net/?f=3.5%20%5Ctimes%2010%5E%7B3%7D)
Step-by-step explanation:
a) We have to simplify the below expression in standard form.
The expression is ![(5\times 10^{3}) \times (9 \times 10^{7})](https://tex.z-dn.net/?f=%285%5Ctimes%2010%5E%7B3%7D%29%20%5Ctimes%20%289%20%5Ctimes%2010%5E%7B7%7D%29)
Now, ![(5\times 10^{3}) \times (9 \times 10^{7})](https://tex.z-dn.net/?f=%285%5Ctimes%2010%5E%7B3%7D%29%20%5Ctimes%20%289%20%5Ctimes%2010%5E%7B7%7D%29)
= ![(9 \times 5) \times (10^{3} \times 10^{7})](https://tex.z-dn.net/?f=%289%20%5Ctimes%205%29%20%5Ctimes%20%2810%5E%7B3%7D%20%5Ctimes%2010%5E%7B7%7D%29)
=
{Since
}
= ![45 \times 10^{10}](https://tex.z-dn.net/?f=45%20%5Ctimes%2010%5E%7B10%7D)
=
(Answer)
b) We have to simplify the below expression in standard form.
The expression is ![(7\times 10^{5}) \div (2 \times 10^{2})](https://tex.z-dn.net/?f=%287%5Ctimes%2010%5E%7B5%7D%29%20%5Cdiv%20%282%20%5Ctimes%2010%5E%7B2%7D%29)
Now, ![(7\times 10^{5}) \div (2 \times 10^{2})](https://tex.z-dn.net/?f=%287%5Ctimes%2010%5E%7B5%7D%29%20%5Cdiv%20%282%20%5Ctimes%2010%5E%7B2%7D%29)
= ![(7 \div 2) \times (10^{5} \div 10^{2})](https://tex.z-dn.net/?f=%287%20%5Cdiv%202%29%20%5Ctimes%20%2810%5E%7B5%7D%20%5Cdiv%2010%5E%7B2%7D%29)
=
{Since
}
=
(Answer)
D, 8.5
a squared + b squared = c squared for the sides and hypotenuse of the triangle.
6^2 + 6^2 = c^2
36 + 36 = c^2
72 = c^2
c = square root of 72, 8.49
The answer is (6/25). I just multiplied the 2 numbers, but I'll explain with something simpler:
Take the number 100, let's say I want (1/10) from that 100,
and from that (1/10), I want (4/5).
Well a tenth of 100 is 10, and four fifths of 10 is 8, thus we have 8/100 as a total (or 4/50)
The same answer can be found when multiplying (1/10) and (4/5), giving us (4/50) or (8/100)