<span>n = 11<span>.
Explanation:
Let m be the number of boxes Mark sells and a be the number of boxes Ann sells.
Since Mark sells 10 less than n, m = n-10. Since Ann sells 2 less than n, a = n-2.
Together, they sold n-10+n-2=2n-12 boxes.
We know that they sold less than n boxes, so our inequality would be
2n-12<n.
To solve this, subtract n from both sides:
2n-12-n<n-n; n-12<0.
Add 12 to both sides:
n-12+12<0+12; n<12.
This means there were less than 12 boxes. The next number down is 11; this woks because Mark sold 10 less than n; 11-10=1. Mark sold at least 1 box.
If n=10, however, 10-10=0; this doesn't work, because Mark did sell at least 1 box. </span></span>
Answer:
x= -6
Step-by-step explanation:
5x-8x=14+4
-3=18
x= -6
Slope = -1/4
y-interept = 8
⇒equation: y = -1/4x + 8
x-intercept ⇒ when y = 0
0 = -1/4x + 8
1/4x = 8
x = 8 x 4
x = 32
Answer: x-intercept = (32,0)
The answer to 75 squared is 5,625.
Answer:
2nd debate was 3 hours long.
Step-by-step explanation:
We have been given that during the mayoral election,two debates were held between the candidates. The first debate lasted 1 2/3 hours. The second one was 1 4/5 times as long as the first one.
Let us find the estimate of time spent on 2nd debate.
1 2/3 hours would be approximately 2 hours. 1 4/5 times would be equal to 2 times.
![2*2=4](https://tex.z-dn.net/?f=2%2A2%3D4)
Therefore, the estimated time is less 4 hours.
To find the time spent on 2nd debate, we will multiply 1 2/3 by 1 4/5.
First of all, we will convert mixed fractions into improper fractions as:
![1\frac{2}{3}=\frac{5}{3}](https://tex.z-dn.net/?f=1%5Cfrac%7B2%7D%7B3%7D%3D%5Cfrac%7B5%7D%7B3%7D)
![1\frac{4}{5}=\frac{9}{5}](https://tex.z-dn.net/?f=1%5Cfrac%7B4%7D%7B5%7D%3D%5Cfrac%7B9%7D%7B5%7D)
Now, we will multiply both fractions as:
![\frac{5}{3}\times \frac{9}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B3%7D%5Ctimes%20%5Cfrac%7B9%7D%7B5%7D)
![\frac{1}{3}\times \frac{9}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5Ctimes%20%5Cfrac%7B9%7D%7B1%7D)
![\frac{9}{3}\Rightarrow 3](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B3%7D%5CRightarrow%203)
Therefore, the 2nd debate was 3 hours long.