Answer:
236.59
Step-by-step explanation:
The formula 2(1+
) 
can be used. Substitute the length of one side into the equation and solve.
Answer:
2<em>x </em>+ 7 = 25
<em>x </em>= 7
Step-by-step explanation:
Gary: 25
Sean: <em>x</em>
----------------------------
Let's break down the sentence into mathematical terms
Gary <u>is</u> 25 years old. That <u>is</u> 7 more than twice <u>Sean's age.</u>
In math, is means equal to. It is represented with an equal sign (=)
Gary = 25. 25 = 7 more than twice <u>Sean's age.</u>
7 more is represented by 7 +
Gary = 25. 25 = 7 + than twice <u>Sean's age.</u>
Twice means double which is 2 ·
Gary = 25. 25 = 7 + 2 · <u>Sean's Age</u>
<u>Sean's Age</u> will be represented by <em>x</em>
Gary = 25. 25 = 7 + 2<em>x</em>
We don't need it to say<em> "Gary = 25" </em>in our equation.
25 = 7 + 2<em>x</em>
Let's rewrite it with the associative property.
2<em>x </em>+ 7 = 25
---------------------
Now, solve
2<em>x </em>+ 7 = 25
<em>-7 -7</em>
2<em>x</em> = 18
<em>÷</em><em>2 </em><em>÷</em><em>2</em>
<em>x </em>= 7
----------------------
Sean is 7 years old.
Answer:
1,600 dentists were surveyed in total.
Step-by-step explanation:
We can set up a proportion for this problem:
Now we can cross multiply:
1,600 dentists were surveyed in total.
If I did the math right, the answer would around 3,552.89. Hopefully this was helpful.
Answer:
The equation of the line would be y = -1/3x - 4
Step-by-step explanation:
In order to find this, we first need to find the slope of the original line. We do this by solving for y.
2x + 6y = 10
6y = -2x + 10
y = -1/3x + 5/3
Now that we see the slope as -1/3, we know the new line will have the same slope thanks to the definition of parallel lines. So, we can use this slope and the point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - -5 = -1/3(x - 3)
y + 5 = -1/3x + 1
y = -1/3x - 4
