X=alice
b=barry
c=charlene
x=15 more than b
x=15+b
c=2 times of b
c=2b
all together
x+c+b
15+b+2b+b
15+4b
they have 15+4b or 15+4 times of barry
if we want in terms of x
x=15+b
x-15=b
15+4(b)
15+4(x-15)
15+4x-60
4x-45
they have 4x-45 together
Step-by-step explanation:
The original price was $16.23
Explanation:
We can rewrite this problem as:
110% of what is $17.85.
"Percent" or "%" means "out of 100" or "per 100", Therefore 110% can be written as
110 x/100
.
When dealing with percents the word "of" means "times" or "to multiply".
Finally, lets call the number we are looking for "n".
Putting this altogether we can write this equation and solve for
n
while keeping the equation balanced:
<em>110/100 × n = $17.85</em>
<em>110/100 × n = $17.85 </em>
<em>110/100 × n = $17.85 100/110 × 110/100 × n = 100/110 × $17.85</em>
<em>110/100 × n = $17.85 100/110 × 110/100 × n = 100/110 × $17.85 </em>
<em>1</em><em>0</em><em>0</em><em>/</em><em>1</em><em>1</em><em>0</em><em> </em><em><</em><em>¬</em><em> </em><em>cross</em><em> out</em><em> </em><em>× </em><em>1</em><em>1</em><em>0</em><em>/</em><em>1</em><em>0</em><em>0</em><em> </em><em><</em><em>¬</em><em> </em><em>cross</em><em> out</em><em> </em><em> </em><em>× n = $ 1785/110</em>
<em>× n = $ 1785/110 </em>
n = $16.23n rounded to the nearest penny.
Basically you would break down the numbers let's say you start off with 48, 8 times 6 gives you 48 what can go into 8, 2 and 4 then you say what can go into 4 which is 2 and 2 then break down 6, 3 an 2 basically you break it down all the way until you get the prime numbers
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y = -4x
When x = 4, y = -16
When y = 20, x = -5
Step-by-step explanation:
First off, definitions: Direct variations refers to two variables being related with neither being the denominator of a fraction. (nothing along the lines of y = 1/x)
So, given that, I simply found what the ratio was between the two values. Something like buying gas at the gas station. The ratio between the gas you get and the money you pay is the price per gallon of gas. In this case, the proportion is -4 (-16 divided by 4).
Thus we have a relationship. For each y, you have negative four x's. Thus, y = -4x.
Finding the value of x when y = 20 simply requires plugging values in. Remember, a fundamental principle in all of Algebra is substitution. If two things are equal, they are interchangeable. So, if you saw "3 + 4" in a mathematical expression, you could simply erase it and write 7, so long as no other mathematical rules (multiplication before addition, for instance) interferes.
Thus, if y = 20, we can take our original equation and replace y with 20.
y = -4x => 20 = -4x
Then, simply solve for x, keeping in mind that when two items in math are written against each other, it means multiplication. Thus, we reverse the multiplication to division and divide both sides of the equation by -4.
20 / -4 = -5
