There’s no answer choices to answer
Answer:
Cost of One Journal = $3.99
Cost of One pen = $0.59
Step-by-step explanation:
Let
Cost of One Journal = x
Cost of One pen = y
We can make equation from given statements.
Mr. Bowden purchases 18 journals and 40 pencils for $95.42.
![18x+40y=95.42](https://tex.z-dn.net/?f=18x%2B40y%3D95.42)
Ms. Jacinto purchases 11 journals and 16 pencils for $53.33.
![11x+16y=53.33](https://tex.z-dn.net/?f=11x%2B16y%3D53.33)
Now solving these equations to find the value of x
![18x+40y=95.42--eq(1)\\11x+16y=53.33--eq(2)](https://tex.z-dn.net/?f=18x%2B40y%3D95.42--eq%281%29%5C%5C11x%2B16y%3D53.33--eq%282%29)
Multiply eq(1) with 2 and eq(2) with 5
![36x+80y=190.84\\55x+80y=266.65\\-\:\:\:\:-\:\:\:\;\:\:\:\:\:\:\:-\\---------\\-19x=-75.81\\x=\frac{-75.81}{-19}\\x=3.99\\](https://tex.z-dn.net/?f=36x%2B80y%3D190.84%5C%5C55x%2B80y%3D266.65%5C%5C-%5C%3A%5C%3A%5C%3A%5C%3A-%5C%3A%5C%3A%5C%3A%5C%3B%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A%5C%3A-%5C%5C---------%5C%5C-19x%3D-75.81%5C%5Cx%3D%5Cfrac%7B-75.81%7D%7B-19%7D%5C%5Cx%3D3.99%5C%5C)
We get the value of x is: x=3.99
Now, putting value of x in equation 1 to find value of y.
![18x+40y=95.42\\18(3.99)+40y=95.42\\71.82+40y=95.42\\40y=95.42-71.82\\40y=23.6\\y=\frac{23.6}{40}\\y= 0.59](https://tex.z-dn.net/?f=18x%2B40y%3D95.42%5C%5C18%283.99%29%2B40y%3D95.42%5C%5C71.82%2B40y%3D95.42%5C%5C40y%3D95.42-71.82%5C%5C40y%3D23.6%5C%5Cy%3D%5Cfrac%7B23.6%7D%7B40%7D%5C%5Cy%3D%200.59)
So, we get the value of y: y = 0.59
Now, finding the costs:
Cost of One Journal = x = $3.99
Cost of One pen = y = $0.59
Answer:
Question 1 = c) Medium: 88 ft²
Question 2 = d) 46.7 ft³
Step-by-step explanation:
Question 1
We would be solving this question by finding the surface area of the tent. The shape of the tent is a square based pyramid.
The surface area of a square based pyramid(tent) =
a² + 2ah
Where in the diagram,
a = base length = 4 ft
h = height of the pyramid (tent ) = 9ft
Surface area = 4² + 2 × 4 × 9
= 16 + 72
= 88ft²
Therefore, the size tarp should she purchase is Medium: 88 ft²
Question 2
For question 2, from the attached diagram, we can see that the diagram is a square based pyramid.
To calculate the amount of water that would fill the square based pyramid, we would have to find the Volume of the tent(square based pyramid).
The formula for the Volume of the tent(square based pyramid) = 1/3(a²h)
Where a = base edge
h = height of the pyramid.
From the diagram,
a = base edge => 4ft.
From the question,
h = height of the tent is given as how tall the tent is = 8.75ft.
Therefore, 1/3(a²h)
1/3 × (4ft)²× 8.75ft
= 46.67ft³
Approximately = 46.7ft³
Therefore, the amount of water it would it take to fill the tent, if the tent is 8.75 ft tall is 46.7ft³
2/5 1/3 4/9 3/4. that's the answer
False, it's the other way around: you divide the numerator by the denominator.
For example, to evaluate
you divide 8 by 15:
![\dfrac{8}{15} = 8\div 15 = 0.5\overline{3}](https://tex.z-dn.net/?f=%20%5Cdfrac%7B8%7D%7B15%7D%20%3D%208%5Cdiv%2015%20%3D%200.5%5Coverline%7B3%7D%20)