x + 1 = x + 1
x - x = 1 - 1
0 = 0
Answer:
12 friends
Step-by-step explanation:
Fill in the given number and solve for x.
855 = 5x +795 . . . . . the total fee was 855
60 = 5x . . . . . . . . . . . subtract 795
12 = x . . . . . . . . . . . . . divide by 5
The number of friends you brought was 12.
Answer:
y =
Step-by-step explanation:
a - y = b + ( multiply through by a to clear the fraction )
a² - ay = ab + y ( subtract y from both sides )
a² - ay - y = ab ( subtract a² from both sides )
- ay - y = ab - a² ← factor out y from each term on the left side
y(- a - 1) = ab - a² ( divide both sides by - a - 1 )
y = ( multiply numerator/ denominator by - 1 )
y =
We know that ∠1 equals ∠3, from that we can find x:
The sum of ∠1 and ∠2 must equal 180°:
Since we already know x, we can solve for y:
Result: x=10, y=6
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