7(x+3)
= 7x+ 7*3 (distributive property)
= 7x+ 21.
The final answer is 7x+21~
Answer:
C. 3,094 km in 12 hr
Step-by-step explanation:
we need to find kilometer per 1 hour so
2983/5=596.6 kilometers per hour
5,193/7= 741.857142857 km per hour
3,094/12=257.833333333 km per hour
1,784/3=594.666666667 km per hour
now which number is lowest
third one
Have a wonderful day! ask me if you have more questions
Answer:
1) ![n = 84](https://tex.z-dn.net/?f=n%20%3D%2084)
2) ![n = 78](https://tex.z-dn.net/?f=n%20%3D%2078)
3) ![n = 24](https://tex.z-dn.net/?f=n%20%3D%2024)
4) ![n = 16](https://tex.z-dn.net/?f=n%20%3D%2016)
5) ![n = 35](https://tex.z-dn.net/?f=n%20%3D%2035)
Step-by-step explanation:
To solve each proportion, we apply cross multiplication.
Question 1:
![\frac{5}{12} = \frac{35}{n}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B12%7D%20%3D%20%5Cfrac%7B35%7D%7Bn%7D)
![5n = 35*12](https://tex.z-dn.net/?f=5n%20%3D%2035%2A12)
Simplifying both sides by 5
![n = 7*12 = 84](https://tex.z-dn.net/?f=n%20%3D%207%2A12%20%3D%2084)
Question 2:
![\frac{n}{52} = \frac{180}{120}](https://tex.z-dn.net/?f=%5Cfrac%7Bn%7D%7B52%7D%20%3D%20%5Cfrac%7B180%7D%7B120%7D)
![120n = 52*180](https://tex.z-dn.net/?f=120n%20%3D%2052%2A180)
Simplifying both sides by 20
![6n = 52*9](https://tex.z-dn.net/?f=6n%20%3D%2052%2A9)
Simplifying by 3
![2n = 52*3](https://tex.z-dn.net/?f=2n%20%3D%2052%2A3)
Simplifying by 2
![n = 26*3 = 78](https://tex.z-dn.net/?f=n%20%3D%2026%2A3%20%3D%2078)
Question 3:
![\frac{18}{n} = \frac{21}{28}](https://tex.z-dn.net/?f=%5Cfrac%7B18%7D%7Bn%7D%20%3D%20%5Cfrac%7B21%7D%7B28%7D)
![21n = 18*28](https://tex.z-dn.net/?f=21n%20%3D%2018%2A28)
Simplifying both sides by 7
![3n = 18*4](https://tex.z-dn.net/?f=3n%20%3D%2018%2A4)
Simplifying both sides by 3
![n = 6*4 = 24](https://tex.z-dn.net/?f=n%20%3D%206%2A4%20%3D%2024)
Question 4:
![\frac{n}{4} = \frac{24}{6}](https://tex.z-dn.net/?f=%5Cfrac%7Bn%7D%7B4%7D%20%3D%20%5Cfrac%7B24%7D%7B6%7D)
![\frac{n}{4} = 4](https://tex.z-dn.net/?f=%5Cfrac%7Bn%7D%7B4%7D%20%3D%204)
![n = 16](https://tex.z-dn.net/?f=n%20%3D%2016)
Question 5:
![\frac{10}{16} = \frac{n}{56}](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B16%7D%20%3D%20%5Cfrac%7Bn%7D%7B56%7D)
![16n = 56*10](https://tex.z-dn.net/?f=16n%20%3D%2056%2A10)
Simplifying by 2, both sides
![8n = 56*5](https://tex.z-dn.net/?f=8n%20%3D%2056%2A5)
Simplifying by 8, both sides
![n = 7*5 = 35](https://tex.z-dn.net/?f=n%20%3D%207%2A5%20%3D%2035)
Answer:
J
-66
Step-by-step explanation:
a1 = 2
n = 18
d = - 4
a18 = a1 + (n - 1) * d
a18 = 2 + (18 - 1)*(-4)
a18 = 2 + 17*-4
a18 = 2 - 68
a18 = -66
Well, we can denote L and W for the length and width respectively. Lets say the A is the area, we have: 1. A=(L × W) as well as 2. 2(L+W)=400. We rearrange the second equation to get 3. W=200-L. From this, we can see that 0<L<200. Substitute the third equation into the first to get A=(200L-L²). put this formula into the scientific calculator and you will find a parabola with a maximum. That would be the maximum area of the enclosed area. Alternatively, we can say that L is between 0 and 200 when the area equals 0. (The graph you find will be area against length). As the maximum is generally found halfway, we substitute 100 into the equation and we end up with 10000.
Hope this helps.