The distance from florist to movie theater is about 3.5 km on the same street.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
A book store and a movie theater are 6 kilometers apart. The florist is on the same street, 2.5 kilometers from the theater. Hence:
Distance from book store to movie theater = Distance from book store to florist + Distance from florist to movie theater
Hence:
6 km = 2.5 km + Distance from florist to movie theater
Distance from florist to movie theater = 3.5 km
The distance from florist to movie theater is about 3.5 km on the same street.
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Answer:
37 units
Step-by-step explanation:
The horizontal distance between these two points is 35 and the vertical is 12.
Treat these distances as the lengths of the legs of a right triangle whose hypotenuse we want to determine:
d^2 = 35^2 + 12^2 = 1369, so d = the distance between these two points = d = sqrt(1369) = 37 units
Answer:
-1 and 0
Step-by-step explanation:
X ^4+x = 0;
x*(x^3+1)=0;
x*[(x^3-x)+(x+1)]=0;
x*[x(x-1)(x+1)+(x+1)]=0;
x*(x+1)(x^2-x+1)=0;
Since x^2-x+1=0 has no intersection with the X-axis, there is no x value such that y=0
x=0 or -1
Answer:
Step-by-step explanation:
Let's call hens h and ducks d. The first algebraic equation says that 6 hens (6h) plus (+) 1 duck (1d) cost (=) 40.
The second algebraic equations says that 4 hens (4h) plus (+) 3 ducks (3d) cost (=) 36.
The system is
6h + 1d = 40
4h + 3d = 36
The best way to go about this is to solve it by substitution since we have a 1d in the first equation. We will solve that equation for d since that makes the most sense algebraically. Doing that,
1d = 40 - 6h.
Now that we know what d equals, we can sub it into the second equation where we see a d. In order,
4h + 3d = 36 becomes
4h + 3(40 - 6h) = 36 and then simplify. By substituting into the second equation we eliminated one of the variables. You can only have 1 unknown in a single equation, and now we do!
4h + 120 - 18h = 36 and
-14h = -84 so
h = 6.
That means that each hen costs $6. Since the cost of a duck is found in the bold print equation above, we will sub in a 6 for h to solve for d:
1d = 40 - 6(6) and
d = 40 - 36 so
d = 4.
That means that each duck costs $4.
<span>D. L.A. to Flagstaff, 465 miles; Flagstaff to Albuquerque, 345 miles
The answer above is correct.
810 - 120 = 690 ; 690 / 2 = 345 mi ( Flagstaff to Albuquerque )
810 - 345 = 465 mi ( L.A. to Flagstaff )
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