From the table, you know that Jupiter is further away from the sun. So if you subtract the distance of the shorter one, which is Mars, from the distance of the longer one, which is Jupiter, you woould get the distance of Jupiter from Mars.
4.84 x 10^8 - 1.42 x 10^8
= (4.84 - 1.42) x 10^8
= 3.42 x 10^8
Therefore the distance is 3.42 x 10^8
Hope this helped, if you don't understand what I was doing in the working, you can just imagine substituting a = 10^8, things will make more sense. As for what I was talking about in the huge paragraph above, if you're confused you can also draw it out.
1 dozen = 12........so 12 dozen eggs is (12 * 12) = 144 eggs
she sold 5/6 of the eggs.....so she sold : 5/6 * 144 = 720/6 = 120 eggs
she gave her friends (144 - 120) = 24 eggs
(a) 12x = 120.....with x being the number of dozens of eggs
x = 120/12
x = 10 <== she gave away 10 dozen eggs
(b) she sold a dozen for 4.50....
4.50x = E .......x = the number of dozens of eggs sold and E = total earned. She sold 10 dozen...so sub in 10 for x
4.50(10) = E
45 = E <=== she earned $ 45 from the eggs she sold
Answer:
D. y= 200+ 0.1x
Step-by-step explanation:
Given data
Fixed Salary= $200
Commission= 10%
weekly sales = x
Hence the expression for the total amount he earns is given as
y= 200+ 0.1x
Refer to the diagram shown below.
BE = 2x² - x
DE = x² + 6
The intersecting diagonals bisect one another.
Therefore BE = DE, so that
2x² - x = x² + 6
x² - x - 6 = 0
Factorize.
(x + 2)(x - 3) = 0
x = -2, or x = 3.
When x = -2,
BE = 2(-2)² - (-2) = 10
DE = (-2)² + 6 = 10
Therefore BD = 20
When x = 3;
BE = 2(3²) - 3 = 15
DE = 3² + 6 = 15
Therefore BD = 30
Answer: Either 20 or 30.
