Answer: 53
Step-by-step explanation: It is the only prime
Step-by-step explanation:
Dogs: 12% of 45= 5.4
Cats: 24% of 45= 10.8
Fish: 36% of 45= 16.2
Other: 28% of 45= 12.6
Answer:
Adults= 110
Children= 340
Step-by-step explanation:
Given data
let adults be x
and children be y
x+y= 450----------1
2x+y=680---------2
from 1
x= 450-y
put this in 2
2(450-y)=680
900-2y=680
900-680=2y
220=2y
y= 220/2
y= 110
x+110= 450
x= 450-110
x=340
Answer:
x = -0.2 and x = -3.5
Step-by-step explanation:
Combine like terms in the given equation, by subtracting 2x^2 from both sides:
6x^2 + 15x + 3 = 2x^2
-2x^2 = -2x^2
----------------------------------
4x^2 + 15x + 3 = 0
This is a quadratic equation. We'll find the two solutions using the quadratic equation
-b ± √(b^2 - 4ac)
x = ---------------------------
2a
Here the coefficients of the quadratic are a = 4, b = 15 and c = 3.
Thus, the discriminant b^2 - 4ac is 15^2 - 4(4)(3), or +177
and from that we know we'll find two real, unequal roots.
-15 ± √177
The roots are: x = ------------------- , or x = -0.2 and x = -3.5
8
<span>y-10 = -5/4x + 30/4 represents a linear function; we know that because both x and y have the power 1.
We could put this equation into one of several forms.
Suppose we wanted to put it into slope-intercept form. Then </span><span>y-10 = -5/4x + 30/4 becomes y = 10 + 30/4 - (5/4)x, or y = 35/2 - (5/4)x. Thus, this line has the slope -5/4 and the y-intercept (0, 35/2).
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