He would have to sale $500,000
9% of $500,000 is $45,000
So $30,000 plus $45,000 is $75,000
The length of the diagonal will be given by:
cos θ=adjacent/hypotenuse
θ=35°
hypotenuse=h
adjacent=80 inches=6.66667 ft
thus;
cos 35=6.66667/h
h=6.66667/cos35
h=8.1385 ft
diagonal=8.1385 ft
we conclude that the table will through the door diagonally.
Answer: I'm not sure about the first question, I've never been good at equations. The second one is asking for 15x30 = 450. She will make 450 dollars for 15 hours of work.
Step-by-step explanation:
30 girls , 12 were selected
40 boys, 16 were selected
We can simplify these down by finding the Greatest Common Factor in both girls and boys:
30:12 .... 15:6 .... 1 : 2.5 30/12 .... 15/6 .... 2.5
40:16 .... 20:8 .... 1 : 2.5 OR 40/16 .... 20/8 .... 2.5
They are equal ratios because their most simplified ratios/fractions are equivalent
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
