Answer:
3/7
Step-by-step explanation:
-4 4/7=-32/7
5+(-32/7)=5-32/7=35/7-32/7=3/7
Answer:
9.14
Step-by-step explanation:
The family vehicle can go 300 miles on a tank of gas worth $40.
1. Find the cost of the gas in two options for Day 1.
First option:
300 miles - $40
304 miles - $x
Write a proportion:
\begin{lgathered}\dfrac{300}{304}=\dfrac{40}{x}\\ \\300x=304\cdot 40\\ \\30x=304\cdot 4\\ \\30x=1,216\\ \\x=\dfrac{1,216}{30}=\dfrac{608}{15}\approx 40.53\end{lgathered}
304
300
=
x
40
300x=304⋅40
30x=304⋅4
30x=1,216
x=
30
1,216
=
15
608
≈40.53
Second option:
300 miles - $40
260 miles - $y
Write a proportion:
\begin{lgathered}\dfrac{300}{260}=\dfrac{40}{y}\\ \\300y=260\cdot 40\\ \\3y=26\cdot 4\\ \\3y=104\\ \\=xy\dfrac{104}{3}\approx 34.67\end{lgathered}
260
300
=
y
40
300y=260⋅40
3y=26⋅4
3y=104
=xy
3
104
≈34.67
2. Calculate the total price:
First option:
Gas cost = $40.53
National park = $25
Lakes - free
Total cost = $65.53
Second option:
Gas cost = $34.67
Water park for 4 persons =4\cdot \$5=\$20=4⋅$5=$20
Amusement park for 4 persons =4\cdot \$5=\$20=4⋅$5=$20
Total cost =$74.67
Difference = 74.67 -74.67−65.53 = $9.14
Answer:
y >
Step-by-step explanation:
Given
3(2y + 1) > 10 ← distribute left side
6y + 3 > 10 ( subtract 3 from both sides )
6y > 7 ( divide both sides by 6 )
y >
Answer:
x=4
Step-by-step explanation:
Explanation:
As
x
and
y
are inversely proportional, the equation can be represented as
x
=
k
y
.
Substituting
x
=
2
and
y
=
12
, we get
2
=
k
12
=>
k
=
12
⋅
2
=>
k
=
24
.
Equation can be represented as
x
=
24
y
. So, when
y
=
6
, we get
x
=
24
6
=>
x
=
4