Step-by-step explanation:
again, 2 unknowns.
x = number of 2- points baskets
y = number of 3- points baskets
we know they hit the basket 37 times in a so far unknown mixture of 2-point and 3- point throws.
x + y = 37
which gives us e.g.
x = 37 - y
and we know that with this unknown mixture they scored 80 points.
so,
2x + 3y = 80
as every successful 2-points throw scores 2 points, and every successful 3-points throw scores 3 points.
so, again our 2 equations :
x = 37 - y
2x + 3y = 80
remember, we prepared the first equation so that it gives us already an identity expressing one variable by the other. and that we use in the second equation :
2×(37 - y) + 3y = 80
74 - 2y + 3y = 80
74 + y = 80
y = 6
and from
x = 37 - y
we get
x = 37 - 6 = 31
so, they had 31 2-points throws and 6 3-points throws.
Answer:You are correct but you do not need to round it, the inches of ribbon is short by 0.75 inches. Hope this helps you, have great day!
Step-by-step explanation:
Answer:
39 or 1/39
Step-by-step explanation:
You need to divide these but it depends on how you divide them
Answer: B ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
Step-by-step explanation:
From the given table
When x changes from 1 to 2 , value of y changes from 6 to 4
The multiplicative rate of change=![\frac{4}{6}=\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B6%7D%3D%5Cfrac%7B2%7D%7B3%7D)
Similarly we can check
When x changes from 2 to 3 , value of y changes from 4 to ![\frac{8}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B3%7D)
The multiplicative rate of change=![\frac{\frac{8}{3}}{4}=\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B8%7D%7B3%7D%7D%7B4%7D%3D%5Cfrac%7B2%7D%7B3%7D)
When x changes from 3 to 4 , value of y changes from
to ![\frac{16}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B9%7D)
The multiplicative rate of change=![\frac{\frac{16}{9}}{\frac{8}{3}}=\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B16%7D%7B9%7D%7D%7B%5Cfrac%7B8%7D%7B3%7D%7D%3D%5Cfrac%7B2%7D%7B3%7D)
Therefore, the multiplicative rate of exponential function = ![\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D)
Answer:
3600
Step-by-step explanation: