Answer:
A number minus the product of
4
and its reciprocal is less than zero. Find the numbers which satisfy this condition.
AAny number less than
−
2
or between
0
and
2
BAny number between
−
2
and
2
CAny number less than
2
DAny number between
0
and
2
Solution
Let the number be x
Then
x
−
(
4
×
1
x
)
≤
0
⇒
x
≤
4
x
⇒
x
2
≤
4
⇒
|
x
|
≤
2
⇒
−
2
≤
x
≤
2
Step-by-step explanation:
The answer is
n = 37 - d
0.05n + 0.10d = 3.10
He has 25 dimes.
n - the number of nickles
d - the number of dimes
n = $0.05
d = $0.10
<span>Carter has 37 coins: n + d = 37
</span><span>The value of the coins is $3.10: 0.05n + 0.10d = 3.10
</span>n + d = 37
0.05n + 0.10d = 3.10
_____
n = 37 - d
0.05n + 0.10d = 3.10
_____
0.05(37 - d) + 0.10d = 3.10
1.85 - 0.05d + 0.10d = 3.10
1.85 + 0.05d = 3.10
0.05d = 3.10 - 1.85
0.05d = 1.25
d = 1.25 : 0.05
d = 25
Banana cupcake for dinner makes me wanna go swimming so its set 4 94 322
Answer:
10.6 feet
Step-by-step explanation:
Length = 22ft
width= 14ft
Maximum area = 800 sq. ft
Let X be increase in the number of feet for the length and width.
The new length = (22 + x) ft
New width= (14 + x) ft
Area = (22+x)(14+x) ≤ 800
308 + 36x + x^2 ≤ 800
x^2 + 36x + 308 - 800 ≤ 0
x^2 + 36x - 492 ≤ 0
Solve using quadratic equation
x = (-b +/- √b^2 - 4ac) / 2a
a= 1, b = 36, c= 492
x = (-36 +/- √36^2 - 4*1*-492)/ 2*1
= (-36 +/- √1396 + 1968) / 2
= (-36 +/- √3264) / 2
= (-36 +/- 57.13) / 2
x = (-36 + 57.13)/2 or (-36 - 57.13)/2
x = 21.13/2 or -93.13/2
x = 10.6 or -31.0
x = 10.6 ft
The length and width must increase by 10.6 ft each
