Maurice wants to create a set of elliptical flower beds. To do this, he first plots the location of the two fruit trees on his graph.
Maurice has to use the equation a^2-b^2=c^2. We know that c=3, and because we need 1 more number to solve for b, I made a=6. 6^2-b^2=3^2. 36-b^2=9. b^2=27. b=5.196
<span>Next, to create the equation, we substitute what we know into the equation x^2/a^2 + y^2/b^2=1 and get x^2/36 + y^2/27=1. Johanna wants to create some hyperbolic flower beds.
We already know that c=3 so this time I decided a=1. 3^2=1^2+b^2. 9=1+b^2. 8=b^2. b=2.828
Next, to create the equation, we substitute what we know to the equation x^2/a^2 - y^2/b^2 = 1. x^2/1^2 - y^2/2.828^2 = 1. </span>
alright so you need to find the unit rate for both of these bought items.
5.25(5 1/4) pounds is equal to $2.10 if you set it into an equation
5.25x = $2.10
x represents how much is the price for one pound of banana
to find x you divide $2.10 by 5.25
you can either plug that into a calculator (.4 is the answer)
to divide a fraction
2.10 / 1 ÷ 21/4
switch the 21/4
2.10/1 ÷ 4/21
instead of using division to solve this you actually multiply!(don't ask me why)
2.10 × 4 = 8.4
21 × 1 = 21
now divide 8.4 by 21 = $0.4 for each pound of bananas
do the same on the other persons payment
3.25x = 6.5
x = 0.5
now you answer it. which one is cheaper?
Answer:
21
Step-by-step explanation:
21
1.) ¹²/₉ = ⁴/₃
Simplify the fraction so it’s easier to work with.
2.) ⁴/₃ = ⁸/x
Make ⁴/₃ equal to ⁸/x because since you want to find the new width, you need to make it equal to a new fraction.
3.) 4x = 24
Cross multiply.
4.) x = 6
Divide each side by 4.
4/9 of 351 pages mean (4/9)x351 = (4x351)/9 = 156 pages
