Answer:
99
Step-by-step explanation:
Given the linear equation:
y = 0.6x + 45
x = outdoor temping degrees ; y = number of pair of sandal sold
Number of pairs of sandals the company expect to sell if the outside temperature is 90 degrees?
y = 0.6(90) + 45
y = 54 + 45
y = 99
The expected number of sandals to sale will be 99
Answer:
Option D StartFraction w Over 6 EndFraction is correct option.
Step-by-step explanation:
We need to find algebraic expression that represents “the class was divided into six equal groups”
Let complete class strength is w
Dividing into six equal groups we get w/6
The algebraic expression that represents “the class was divided into six equal groups” is w/6
So, Option D StartFraction w Over 6 EndFraction is correct option.
Solution:
Formula of perimeter = ![2(W+H)](https://tex.z-dn.net/?f=%202%28W%2BH%29%20)
So, 2W + 2H = 32.4 ... (1)
Ratio = 5:4
So, ![\frac{W}{H} =\frac{5}{4}](https://tex.z-dn.net/?f=%20%5Cfrac%7BW%7D%7BH%7D%20%3D%5Cfrac%7B5%7D%7B4%7D%20%20%20)
4W - 5H = 0 ... (2)
Solve equation (1) and (2).
W = 9.0 and H = 7.2
Use the Pythagorean theorem,
![W^{2} + H^{2} = D^{2}](https://tex.z-dn.net/?f=%20W%5E%7B2%7D%20%2B%20H%5E%7B2%7D%20%3D%20D%5E%7B2%7D%20)
![D^{2} = (9.0)^{2} + (7.2)^{2}](https://tex.z-dn.net/?f=%20D%5E%7B2%7D%20%3D%20%289.0%29%5E%7B2%7D%20%20%2B%20%287.2%29%5E%7B2%7D%20%20%20)
![D^{2} = 132.84](https://tex.z-dn.net/?f=%20D%5E%7B2%7D%20%3D%20132.84%20)
D = 11.52
D = 11.5
Hence, the measure of diagonal is 11.5 inches.
Answer:
Step-by-step explanation:
Use the quadratic formula first; find the roots, and then write the factors based upon the roots. Here, a = 4, b = -8 and c = -5. Thus, the discriminant b^2 - 4ac is (-8)^2 - 4(4)(-5), or 64 + 80, or 144.
Thus, we have:
-(-8) ± √144 8 ± 12
x = --------------------- = -------------- = 5/2 and x = -1/2
2(4) 8
If x = 5/2 is a root, then (2x - 5) is a factor.
If x = -1/2 is a root, then (2x + 1) is the other factor.
or