Answer:
A man spends 8/5 of his salary rent. If his left with & 2940. Find his salary:
Step-by-step explanation:
Expanded form pretty much means that you break down every digit into an addition phrase. So, for 418,832, that would mean:
4 1 8 8 3 2
400000 10000 8000 800 30 2
400000+10000+8000+800+30+2
Θ
=
arcsin
(
.7
4.2
)
≈
10
∘
Explanation:
We view the ramp as a right triangle. The hypotenuse is 4.2 and the vertical side .7, which is opposite the angle
θ
we seek.
sin
θ
=
.7
4.2
=
1
6
I'm going to finish the problem but I'll note if we were actually building the ramp we don't need to know the angle; this sine is sufficient.
θ
=
arcsin
(
1
6
)
θ
≈
10
∘
which I think is a pretty steep ramp for a wheelchair.
There will be another inverse sine that is the supplementary angle, around
170
∘
, but we can rule that out as a value for a ramp wedge angle.
X=number of females
47-x=number of males
# of males is 2*(number of females)-7:
47-x= 2x-7
add x to both sides:
47=3x-7
add 7 to both sides:
54=3x
divide both sides by 3:
x= 18 females
47-18= 29 males
Answer:
9 quarters
Step-by-step explanation:
From the question
Jesse has $3.40 in quarters and nickels
Quarters = q = number of quarters
1 quarter = $0.25
nickels = n = number of nickels
1 nickel = $0.05
Hence,
0.25q + 0.05n = $3.40 .......Equation 1
The number of nickels is 5 more than 2 times the number of quarters.
n = 2q + 5
0.25q + 0.05n = $3.40 .......Equation 1
0.25q + 0.05(2q + 5) = 3.40
0.25q + 0.10q + 0.25= 3.40
0.35q = 3.40 - 0.25
0.35q = 3.15
q = 3.15/0.35
q = 9
Therefore, Jessie has 9 quarters.
