Answer:
The number of nickels is 45 and the number of dimes is 72.
Step-by-step explanation:
Let
x ----> number of nickels
y ----> number of dimes
Remember that
so
------> equation A
------> equation B
<em>Solve the system by substitution</em>
we have
------> equation A
------> equation B
Multiply both equations by 100 both sides
---->
--> equation C
----> equation D
substitute equation C in equation D
solve for y
Find the value of x
<em>Alternative Method</em>
Solve the system by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
the solution is the point (45,72)
therefore
The number of nickels is 45 and the number of dimes is 72.
Answer:
B
Step-by-step explanation:
Also solved eveything
(x+9)^2=49
x^2+18x+81=49
x^2+18x+32=0
a=1, b=18 and c=32
x= (-18 +/- Sqrt (18^2-4×32))/2
x= (-18 +/- Sqrt (324-128))/2
x= (-18 +/- Sqrt (196))/2
x= (-18 +/- 14)/2
x= (-18 +14)/2 = -4/2 =-2
OR
x= (-18 -14)/2 = -32/2 =-16
Answer:
D) 20 in
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h where r is the radius and h is the height
Substituting what we know
980 pi = pi (7)^2 h
Divide each side by pi
980 pi /pi= pi 49 h/pi
980 = 49h
Divide each side by 49
980/49 = 49h/49
20 =h
Answer: 10
Step-by-step explanation:
count the dots from number 2 and below
Since the equation, <span>h=1.6a+41, is linear, we know that the coefficient of x, or in this case a, is the slope. Therefore the correct answer would be
</span><span>The model predicts that for each year older a male student is, he is about 1.6 inches taller.</span>
