You can make an equation with this information using a variable for the number of days and solve for that variable. Here we can use d to represent days.
Ryan can build 4 desks in a day, so you could express his production as 4d.
Larry can build 4 desks in 2 days, so you could say he makes 2 desks in 1 day, expressed as 2d.
If Larry starts work one day before Ryan, he's made an extra 2 desks. To get 32 desks, you need to add together those 2 desks Larry made, however many desks Larry can make, and however many desks Ryan can make:
2 + 4d + 2d = 32.
Then just simplify and solve:
6d = 30
d = 5.
It'll take 5 days for them to make 32 desks. Hope this helps! Please rate this answer as brainliest if you liked it!! thank you!!!
Use the formula i=prt, where i is the interest earned, p is the principal, r is the rate (as a decimal fraction) and t is the elapsed time, in years.
Here i = $72 = $1200 r (9/12) (9 months is 9/12, or 3/4, of 1 year)
Reducing,
$72 = $900r
Solving for r, r=0.08, or 8 percent per year.
Hey!
The first step to solving this problem would be to distribute the parenthesis. We do this so that we can get rid of the parenthesis.
<em>Original Equation :</em>
5 ( x - 10 ) = 30 - 15x
<em>New Equation {Changed by Distribution} :</em>
5x - 50 = 30 - 15x
The next step would be to 50 to both sides. The reason we do that is to get rid of the 50 that is on the left side of the equation.
<em>Old Equation :</em>
5x - 50 = 30 - 15x
<em>New Equation {Changed by Adding 50 to Both Sides} :</em>
5x = 80 - 15x
And now we would add 15x to both sides to get rid of the -15x on the right side of the equation.
<em>Old Equation :</em>
5x = 80 - 15x
<em>New Equation {Changed by Adding 15x to Both Sides} :</em>
20x = 80
Now we divide both sides by 20 to get x on it's own.
<em>Old Equation :</em>
20x = 80
<em>New Equation {Changed by Dividing Both Sides by 20} :</em>

=

Finally, all we have to do is solve to find x.
<em>Old Equation :</em>

=

<em>Solution {Old Equation Solved} :</em>
x = 4
<em>So, in the equation </em><span><em>5 ( x – 10 ) = 30 – 15x</em>,
x = 4.
Hope this helps!
- Lindsey Frazier ♥</span>
Answer: $8.60
Step-by-step explanation:
Let the price of a bread = x
Let the price of a tarts = x - 1
If 3 times the price of a loaf of bread is $29.5 more than half of the price of a box of tarts. This can be represented as:
3 × x = 1/2 × (1 - x) + 29.5
3x = 0.5 - 0.5x + 29.5
3x + 0.5x = 29.5 + 0.5
3.5x = 30
x = 30/3.5
x = 8.6
Answer:31.42
Step-by-step explanation: