The 1st one is the right answer
Children’s tickets are $4, adult tickets are $14
Explanation:
4a+6c=80
If they made $4 more dollars on the second day than the first by selling one extra child ticket then we know a child’s ticket is $4 per ticket.
4a+6*4=80
4a+24=80
4a=56
14=a
So each adult ticket costs $14.
You can check by filling in $14 and $4 for each equation.
4*14+6*4=80
4*14+7*4=84
Answer:
<em>There are 72 crayons in the box</em>
Step-by-step explanation:
<u>Fractions</u>
To solve this problem we'll manage numbers as fractions to keep the precision up to the end of it.
Lynn has a box of crayons. It's given 4/9 of the crayons are blue. The remaining crayons are:
![1-\frac{4}{9}=\frac{5}{9}](https://tex.z-dn.net/?f=1-%5Cfrac%7B4%7D%7B9%7D%3D%5Cfrac%7B5%7D%7B9%7D)
From that portion, 65% are red, or equivalently, 35% are yellow.
We write 35% as a fraction:
![\displaystyle 35\%=\frac{35}{100}=\frac{7}{20}](https://tex.z-dn.net/?f=%5Cdisplaystyle%2035%5C%25%3D%5Cfrac%7B35%7D%7B100%7D%3D%5Cfrac%7B7%7D%7B20%7D)
Thus, the portion of yellow crayons is:
![\displaystyle \frac{7}{20}\cdot \frac{5}{9}=\frac{7}{36}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B7%7D%7B20%7D%5Ccdot%20%5Cfrac%7B5%7D%7B9%7D%3D%5Cfrac%7B7%7D%7B36%7D)
This fraction of x crayons is equal to 14, thus:
![\displaystyle x=\frac{14}{\frac{7}{36}}=14\cdot\frac{36}{7}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20x%3D%5Cfrac%7B14%7D%7B%5Cfrac%7B7%7D%7B36%7D%7D%3D14%5Ccdot%5Cfrac%7B36%7D%7B7%7D)
x = 72
There are 72 crayons in the box
The Area of the platform is 33m²
Step-by-step explanation:
As the question says, the height of vertex from the base (D from AB) is 7m whereas the height of left vertex from the base (E from AB) is 4m
Thus it means the height of the Δ DCE (DX)= 7-4 ⇒3m
Since the platform is five-sided, the figure can be broken down into constituting parts
- Parallelogram ║ABCE
- Δ DCE
Are of the figure= Area of ║ABCE+ area Δ DCE
Area of ║ABCE= breadth * height
= 6*4 ⇒24m
²
Area Δ DCE= ½*(base)(height)
Putting the value of base is 6m and height as 3m
Area Δ DCE= ½*6*3
=9m
²
Total area= 24+9= 33m
²
The answer should be jet streams. :)