This is the concept of application of quadratic equations; To get the number of dimes and quarters we proceed as follows;
suppose there are x dimes and y quarters;
x+y=95.......i
but we know;
$0.1=1 dimes
$0.25=1 quarters
thus
0.1x+0.25y=23.45.....ii
solving equation i and ii by substitution we shall have:
from i;
x=95-y
thus substituting the value of x in equation ii we get
0.1(95-y)+0.25y=23.45
9.5-0.1y+0.25y=23.45
collecting like terms we get:
0.15y=13.95
dividing both sides by 0.15 we get;
y=13.95/0.15=93
x=95-93=2
therefore we conclude that there were 2 dimes and 93 quarters
Answer:
I will try my best
Step-by-step explanation:
Answer: -2.8
Step-by-step explanation:
3t-(8/5) * 4-t < -7
(15t-8)/5 * 4-t < -7
((15t-8)(4-t))/5 < -7
(15t^2)-28t-32< -7
(15t^2)-28t-32-7< 0
(15t^2)-28t-39< 0
Using the quadratic/almighty formula
t= (-b +- ((b^2)-4ac)^(1/2)/2a)
a=15, b=-28, c=-39
t= (-(28) +- (((-28)^2)-4(15)(-39))^(1/2))/2(15))
t= -2.8 or t= 0.9
Since
t<0, then t= -2.8
Answer:
35 cm
Step-by-step explanation:
volume of cylinder = πr²h
πr²h = 1058.75π
Divide both sides by π.
r²h = 1058.75 cm³
r = 5.5 cm
Substitute r² with (5.5 cm)².
(5.5 cm)²h = 1058.75 cm³
h = 1058.75/30.25 cm
h = 35 cm
Answer:
Part 1) 11 is a rational number
Part 2) 
is a irrational number
Step-by-step explanation:
we know that
A <u><em>Rational Number</em></u> is a number that can be made by dividing two integers
Part 1) we have
we know that
substitute
Is a rational number, because i can express the number 11 as the ratio of two integers (as example 11/1)
Part 2) we have
we know that
substitute
Is a irrational number, because cannot be expressed as the ratio of two integers
