Y=0.2x+0.3=0.5
y=0.05x+0.4=0.09
all you have to do is basically just add the numbers when you add the numbers that would be your fraction you have to add the zeros and which will make the number
The unit rate you're trying to find is pages per day(or p/d), so the equation needs to have both a unit for pages and for days.
The equation we have is:
![5,249 = 29d](https://tex.z-dn.net/?f=5%2C249%20%3D%2029d)
If they read 5,249 <em>pages</em>, then we can include the unit for pages in the equation.
Since we also know that <em>d</em> is the number of days it took, you can replace <em>d</em> with days.
The equation becomes:
![5,249\ pages=29*(x\days)](https://tex.z-dn.net/?f=5%2C249%5C%20pages%3D29%2A%28x%5Cdays%29)
Now that we have one variable, we can solve for <em>p/d</em>:
![\frac{5,249\ pages}{29}=x\ days\\\\181 = x](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%2C249%5C%20pages%7D%7B29%7D%3Dx%5C%20days%5C%5C%5C%5C181%20%3D%20x)
Thus it took them 181 days to read it all.
If Johnny read 5,249 pages over 181 days and the unit rate is pages per day(p/d), then the equation for finding <em>p/d</em> is:
Johnny read 29 pages per day.
Answer:
A, B, C, E
Step-by-step explanation:
It can be seen from the figure that the points A, B, C and D, all are lying in the line t.
=> So that it can be concluded that AC and BC and BD have the slopes which are equal to each other and also equal to the slop of line t
So that all answer A, B, C are true.
In addition, as FD is parallel with x - axis, so that slope of the line t is equal to <em>tan angel FDB </em>
As FDB is the right triangle with BFD = 90°
=> tan angel FDB = FB/ FD (tan of an acute angel in the right triangle = opposite side/ adjacent side)
=> Slope of the line t is equal to FB/ FD
=> Answer E is true
Answer:
204
Step-by-step explanation:
Find the area of the inner square. 14 x 14 = 196
Then find the area of the outer square. 20 x 20 = 400
Subtract 400 - 196 = 204
204 is closest to 200
Answer:
Corn was planted in 24 sq.ft. of the vegetable garden.
Step-by-step explanation:
Length of garden = 9 ft
width of garden = 8 ft
Hence we will first find the total area of garden.
Total area of garden = length × width = ![8 \times 9 = 72ft^2](https://tex.z-dn.net/?f=8%20%5Ctimes%209%20%3D%2072ft%5E2)
He planted 1/2 of the garden with vegetables.
Hence.
Area of Vegetables garden = ![\frac{1}{2}\times \textrm{Total Area of Garden} = \frac{1}{2}\times 72 = 36ft^2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%5Ctextrm%7BTotal%20Area%20of%20Garden%7D%20%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ctimes%2072%20%3D%2036ft%5E2)
He planted tomatoes in 1/3 of the vegetable garden and corn in the rest
Area in which tomatoes was planted = ![\frac{1}{3}\times \textrm{Area of Vegetables Garden} = \frac{1}{3}\times 36 = 12ft^2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5Ctimes%20%5Ctextrm%7BArea%20of%20Vegetables%20Garden%7D%20%3D%20%5Cfrac%7B1%7D%7B3%7D%5Ctimes%2036%20%3D%2012ft%5E2)
Hence Area in which corn were planted = Area of Vegetables garden - Area in which tomatoes was planted = ![36ft^2-12ft^2=24ft^2](https://tex.z-dn.net/?f=36ft%5E2-12ft%5E2%3D24ft%5E2)
Hence Area of vegetable garden in which corn was planted is 24 sq.ft.