So, when solving this: you’ll want to consider multiples of 7 and 4.
7,14,21,28
4,8,12,16,20,24,28
If you write four +7’s and seven -4’s, they cancel out. Given that that is 11 digits, do it twice and you have your answer.
Eight +7’s
Fourteen -4’s
answer: D) 439.85
Step-by-step explanation:
we are given the price of the bike which is $413.
we are also given the sales tax which is 6.5%.
sales tax is added to the original price to give us our total. so in order to find the total cost we need to find what the 6.5% sales tax is and add it to our original price. to find the sales tax number in dollars we need to set up our formula. The easiest formula is to use a proportion. X is out of 413 = 6.5% is out of 100%. X/413=6.5/100. We can then cross multiply then divide. 6.5 times 413=2,684.5. then divide 2684.5÷100= 26.845.
we need to round up to the nearest cent since we are working with dollars and cents 26.85. 26.85 is 6.5% of the price of the bike which is 413. Now we just simply add the tax to the original price and we get the cost. 413+26.85=439.85
Answer: 4
Step-by-step explanation:
The procedure is pretty basic. First you have to substitute what you know in the equation. So as you know f(x)=18, just substitute f(x) by 18, leaving it like 18 = 3x + 6.
Then you have to start to move things around. First start with the + 6 that is adding, so it moves to the other side as a substraction giving 18 - 6 = 3x -> 12 = 3x. The next step is to get rid of that 3, so because it's multiplying the x, it moves to the other side as a division leaving you with 12 ÷ 3 = x -> 4 = x. There you have the answer! For a value/y of 18 in that function, the x is 4
Well since we can use a base of 1 we know that 1 - 45 is less than 4 but -1 + 45 is not, which follows the assumption that x>0, but now we need to know what x is less than to fit the inequality. If we use 5 as a trial we can see that 5 - 9 = -4 so 0<x<5 is your answer. Hope this helps I basically used trial and error. If you want to check try 3 or 4 for x and it will work but 6 will not.
The numbers are "x" and "y", therefore, we suggest this system of equations:
x-y=14
xy=1800
We can solve by substitution method.
x=14+y
(14+y)y=1800
14y+y²=1800
y²+14y-1800=0
Now, we solve this square equation:
y=[-14⁺₋√(196+7200)] / 2=(-14⁺₋86)/2
We have two solutions:
y₁=(-14-86)/2=-50 ⇒x=14+y=14-50=-36
y₂=(-14+86)/2=36 ⇒x=14+y=14+36=50
Answer: we have two solutions:
Solution1: The first number is -36 and the other number is -50
Soltuion2: The first number is 50 and the other number is 36
