Answer:
5 1/3
Step-by-step explanation:
2/3 x 8 = 2 x 8 / 3 = 16 / 3 = 5 1/3
Answer:
Option D - 
Step-by-step explanation:
Given : During the peak holiday season, a department store gift wrapper is expected to wrap a small gift box in 4 minutes.
To find : Which proportion could you use to find how many gifts can be wrapped at the same rate in 5 hours?
Solution :
We have given that,
In 4 minutes we wrap 1 box.
Let x be the number of gift wrap in 5 hours.
Convert 5 hours into minutes,
1 hour = 60 minute
5 hour = 
minute
i.e. In 300 minute we wrap x box.
The proportion defined the same rate is given by,
When we solve the proportion,
Therefore, Option D is correct.
Answer:
Solving the given formula for v2 gives us:
Step-by-step explanation:
Solving an equation for a particular variable means that the variable has to be isolated on one side of the equation.
Given equation is:
Multiplying both sides by t2-t1
Adding v1 to both sides of the equation
Hence,
Solving the given formula for v2 gives us:
<span><span> 5n2+10n+20</span> </span>Final result :<span> 5 • (n2 + 2n + 4)
</span>
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "n2" was replaced by "n^2".
Step by step solution :Skip Ad
<span>Step 1 :</span><span>Equation at the end of step 1 :</span><span> (5n2 + 10n) + 20
</span><span>Step 2 :</span><span>Step 3 :</span>Pulling out like terms :
<span> 3.1 </span> Pull out like factors :
<span> 5n2 + 10n + 20</span> = <span> 5 • (n2 + 2n + 4)</span>
Trying to factor by splitting the middle term
<span> 3.2 </span> Factoring <span> n2 + 2n + 4</span>
The first term is, <span> <span>n2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> +2n </span> its coefficient is <span> 2 </span>.
The last term, "the constant", is <span> +4 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • 4 = 4</span>
Step-2 : Find two factors of 4 whose sum equals the coefficient of the middle term, which is <span> 2 </span>.
<span><span> -4 + -1 = -5</span><span> -2 + -2 = -4</span><span> -1 + -4 = -5</span><span> 1 + 4 = 5</span><span> 2 + 2 = 4</span><span> 4 + 1 = 5</span></span>
Slope form y2-y1 / x2-x1 = m
20 - 9 = 11
12 - 4 = 9
The slope of the line is 11/9
