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
This is the following way to solve this problem:
3x-10(x+2)=13-7x
3x-10x-20=13-7x (multiply 10 times what's in the parentheses)
-7x-20=13-7x ( subtract 3x from -10x)
-7x-20-13=-7x ( since the 13 is positive, when we move it to the other
side, we change it's sign, so now we subtract 13 from 20
-7x-7=-7x
-7=-7x+7x ( we do the same thing we did above, now with the -7x)
-7=x
x=-7
Answer: x = -7
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: )
<h2>
Answer</h2>
This answer is
![24 * 10^4](https://tex.z-dn.net/?f=24%20%2A%2010%5E4)
<h2>
Explanation:</h2>
In power of ten notation, exponent tells us that how many times 10 is to be multiplied by itself to equal the number we wish to write. So we can write the above scenario as follows:
![240,000 * 10^0](https://tex.z-dn.net/?f=240%2C000%20%2A%2010%5E0)
![240, 00 * 10^1](https://tex.z-dn.net/?f=240%2C%2000%20%2A%2010%5E1)
![240, 0 * 10^2](https://tex.z-dn.net/?f=240%2C%200%20%2A%2010%5E2)
![240 * 10^3](https://tex.z-dn.net/?f=240%09%2A%2010%5E3)
![24 * 10^4](https://tex.z-dn.net/?f=24%20%2A%2010%5E4)
So, the 10 will be multiply 4 times with 24 to get the same answer as 240,000
The answer is ![24 * 10^4](https://tex.z-dn.net/?f=24%20%2A%2010%5E4)
Answer:
$94
Step-by-step explanation:
Let the price of a bowl, a pan and a dish be $b, $p and $d respectively.
14b +9p +12d= 135 -----(1)
10b +6p +8d= 88 -----(2)
Subtracting equation (1) with equation (2):
14b +9p +12d -(10b +6p +8d)= 135 -88
Expand:
14b +9p +12d -10b -6p -8d= 47
4b +3p +4d= 47
Multiply both sides by 2:
8b +6p +8d= 47(2)
8b +6p +8d= 94
Thus, the price of 8 bowls, 6 pans and 8 dishes is $94.
Answer:8
Step-by-step explanation: Since the opposing way of solving is division, you divide 72 into 9 and you get 8.