Answer:
![k=\dfrac{m}{5}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7Bm%7D%7B5%7D)
Step-by-step explanation:
Let Kat reads k pages of the book.
Miguel reads 5 times as many pages of the book as Kat. So,
m = 5k ...(1)
Together they read 54 pages. i.e.
m+k = 54 ...(2)
From equation (1),
![k=\dfrac{m}5{}](https://tex.z-dn.net/?f=k%3D%5Cdfrac%7Bm%7D5%7B%7D)
Hence, the equation that can be used to find how many pages Kat read is equal to
.
Answer:
![Cranberry:Apple:Orange = 7:5:8](https://tex.z-dn.net/?f=Cranberry%3AApple%3AOrange%20%3D%207%3A5%3A8)
Step-by-step explanation:
Given
![Apple = 1/4](https://tex.z-dn.net/?f=Apple%20%3D%201%2F4)
![Orange = 2/5](https://tex.z-dn.net/?f=Orange%20%3D%202%2F5)
Required
Determine the ratio of Cranberry to Apple to Orange
First, we calculate the fraction of Cranberry using:
![Cranberry + Apple + Orange = 1](https://tex.z-dn.net/?f=Cranberry%20%2B%20Apple%20%2B%20Orange%20%3D%201)
Substitute values for Apple and Orange
![Cranberry + 1/4+ 2/5= 1](https://tex.z-dn.net/?f=Cranberry%20%2B%201%2F4%2B%202%2F5%3D%201)
Collect Like Terms
![Cranberry = 1- 1/4- 2/5](https://tex.z-dn.net/?f=Cranberry%20%3D%201-%201%2F4-%202%2F5)
Take LCM
![Cranberry = \frac{20 - 5 - 8}{20}](https://tex.z-dn.net/?f=Cranberry%20%3D%20%5Cfrac%7B20%20-%205%20-%208%7D%7B20%7D)
![Cranberry = \frac{7}{20}](https://tex.z-dn.net/?f=Cranberry%20%3D%20%5Cfrac%7B7%7D%7B20%7D)
The ratio is then represented as:
![Cranberry:Apple:Orange = 7/20:1/4:2/5](https://tex.z-dn.net/?f=Cranberry%3AApple%3AOrange%20%3D%207%2F20%3A1%2F4%3A2%2F5)
Multiply through by 20
![Cranberry:Apple:Orange = 20(7/20:1/4:2/5)](https://tex.z-dn.net/?f=Cranberry%3AApple%3AOrange%20%3D%2020%287%2F20%3A1%2F4%3A2%2F5%29)
![Cranberry:Apple:Orange = 20*7/20:20*1/4:20*2/5](https://tex.z-dn.net/?f=Cranberry%3AApple%3AOrange%20%3D%2020%2A7%2F20%3A20%2A1%2F4%3A20%2A2%2F5)
![Cranberry:Apple:Orange = 7:5:8](https://tex.z-dn.net/?f=Cranberry%3AApple%3AOrange%20%3D%207%3A5%3A8)
Answer:
C. 70/5
Step-by-step explanation:
Since there are 5 people in total and 70 pieces of candy. To find how much candy each person gets we can do 70/5.
The answer to this problem situation would be D.
To solve this problem you would simply divide 1 by 6 (the line between the 1 and 6 in the fraction is a division sign with the denominator always out and the numerator in)
1) 1÷6= 0.1666666666667
Now you traditionally and usually would round up but if the direction says otherwise then round down.
2) 0.17
And 0.17 would be your final answer!
Answer:
1) A
2) min; min; max; max
3) y = x² + 5x - 3
Step-by-step explanation:
f(x) = x² + 2(x)(5) + 5² - 5² + 24
f(x) = (x + 5)² - 25 + 24
f(x) = (x + 5)² - 1
In ax² + bx + c,
if a > 0, it's a min
if a < 0, it's a max
y = ax² + bx + c
Using (0,-3)
-3 = a(0)² + b(0) + c
c = -3
y = ax² + bx - 3
Using (1,3)
3 = a + b - 3
a + b = 6
Using (-1,-7)
-7 = a(-1)² + b(-1) - 3
-7 + 3 = a - b
a - b = -4
b = a + 4
a + (a + 4) = 6
2a = 2
a = 1
b = 5
y = x² + 5x - 3